%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "3.28", %%% date = "14 October 2011", %%% time = "17:10:42 MDT", %%% filename = "nummath.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "21965 76773 311634 3176781", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "BibTeX, bibliography, Numerische Mathematik", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a COMPLETE bibliography of %%% publications in the journal Numerische %%% Mathematik (CODEN NUMMA7, ISSN 0029-599X %%% (print), 0945-3245 (electronic)), which begin %%% publishing in 1959. This file covers the %%% years 1959--1999. The companion files %%% nummath20xx.bib cover later decades. %%% %%% There were from three to eight issues per %%% year from 1959 to 1985, and since then, %%% twelve per year. %%% %%% The journal is published by Springer-Verlag. %%% %%% At version 3.28, the year coverage looked %%% like this: %%% %%% 1959 ( 24) 1974 ( 45) 1989 ( 95) %%% 1960 ( 34) 1975 ( 67) 1990 ( 99) %%% 1961 ( 40) 1976 ( 75) 1991 ( 85) %%% 1962 ( 45) 1977 ( 72) 1992 ( 96) %%% 1963 ( 42) 1978 ( 75) 1993 ( 76) %%% 1964 ( 43) 1979 ( 72) 1994 ( 84) %%% 1965 ( 50) 1980 ( 71) 1995 ( 81) %%% 1966 ( 65) 1981 ( 72) 1996 ( 68) %%% 1967 ( 57) 1982 ( 73) 1997 ( 76) %%% 1968 ( 91) 1983 ( 52) 1998 ( 83) %%% 1969 ( 51) 1984 ( 95) 1999 ( 88) %%% 1970 ( 91) 1985 ( 77) 2000 ( 0) %%% 1971 ( 76) 1986 ( 97) 2001 ( 1) %%% 1972 ( 76) 1987 ( 72) 2002 ( 1) %%% 1973 ( 72) 1988 ( 107) %%% %%% Article: 2911 %%% Book: 1 %%% %%% Total entries: 2912 %%% %%% Despite its German title, most of the %%% articles in this journal are in English; only %%% 85 (3%) are in French (including, curiously, %%% one whose title is in English!), and 310 %%% (11%) are in German. English translations %%% are supplied for all of the French and German %%% titles. %%% %%% Cross-references are supplied for all %%% corrigenda and errata, so that citing one %%% will automatically provide citations of the %%% others. %%% %%% The journal has a gopher site at %%% %%% gopher://trick.ntp.springer.de/11/TOC/211/ %%% %%% with tables of contents for 1993--1997, and a %%% World Wide Web site at %%% %%% http://link.springer.de/link/service/journals/00211/tocs.htm %%% %%% with tables of contents and abstracts for %%% 1994--2000, and a home page at %%% %%% http://link.springer.de/journals/nummath/ %%% %%% Currently paid-up journal subscribers can %%% obtain access to the full-text electronic %%% edition of the journal in PDF and %%% compressed PostScript formats. For %%% details, visit the World Wide Web site %%% %%% http://science.springer.de/nmee/nm-main.htm. %%% %%% Beginning with Volume 67 Number 1 (1994), %%% URLs pointing to abstracts are included %%% with each entry. Their names are %%% constructed systematically from the volume, %%% number, initial page, and year, so that %%% they can be, and have been, generated %%% automatically by software. However, the %%% publisher's Web site is about a year behind %%% the journal, so not all of the URLs given %%% below are reachable yet. The abstract pages %%% contain further links to the full text which %%% are accessible to qualified subscribers, as %%% noted above. %%% %%% This journal is unusual in that some volumes %%% span two years, some issues are assigned two %%% consecutive issue numbers, and no months were %%% clearly associated with issue numbers until %%% volume 35, number 1, in 1980. [Actually, %%% there WAS a tiny day/month stamp at the %%% bottom of the covers for volumes 14--34, but %%% this bibliography does not yet incorporate %%% that information.] Citations in the journal %%% to papers in the journal normally just give %%% volume, pages, and year data. Volumes 1--13 %%% (1959--1969) had no assigned issue numbers at %%% all, just a volume number. %%% %%% And now for a historical note: Twenty-four of %%% these articles were pre-publications in %%% Numerische Mathematik during the years %%% 1965--1970 of all but five of the chapters of %%% the famous book edited by Wilkinson and %%% Reinsch in 1971, the ``Handbook of Automatic %%% Computation, Volume II, Linear Algebra'', %%% often known as HACLA, or just ``the yellow %%% book''. %%% %%% This may have been the first serious attempt %%% to publish high-quality working numerical %%% software. Although the publication language %%% chosen was Algol 60, the algorithms, %%% sometimes with improvements, were later %%% incorporated as Fortran subroutines in the %%% even-more famous EISPACK (1976) and LINPACK %%% (1979) libraries, and those in turn were %%% merged into the highly-developed LAPACK %%% system, which is available in Fortran and C, %%% and later, the LAPACK++ system in C++. %%% %%% Cross-references to the HACLA book are %%% provided for all those twenty-four articles %%% in the bibliography below. %%% %%% The great success of this software %%% publication certainly provided evidence of %%% the value of such work, and in 1975, the %%% journal ACM Transactions on Mathematical %%% Software was formed to carry on the tradition %%% of HACLA, and the ACM Algorithm collection. A %%% total of 792 high-quality algorithms have %%% been published this way by Spring 1999. %%% %%% The initial draft of entries for 1990--1996 %%% was derived from the OCLC Contents1st %%% database. Additions were then made from all %%% of the bibliographies in the TeX User Group %%% collection, from bibliographies in the %%% author's personal files, from the Compendex %%% databases (1980--1999), from the IEEE INSPEC %%% database (1970--1997), from the MathSciNet %%% database, from the European Mathematical %%% Society (Zentrallblat fuer Mathematik) %%% database, and from the computer science %%% bibliography collection at %%% ftp://ftp.ira.uka.de/pub/bibliography to %%% which many people have contributed. %%% %%% Numerous errors in the sources noted above %%% have been corrected. Spelling has been %%% verified with the UNIX spell and GNU ispell %%% programs using the exception dictionary %%% stored in the companion file with extension %%% .sok. %%% %%% BibTeX citation tags are uniformly chosen %%% as name:year:abbrev, where name is the %%% family name of the first author or editor, %%% year is a 4-digit number, and abbrev is a %%% 3-letter condensation of important title %%% words. Citation tags were automatically %%% generated by software developed for the %%% BibNet Project. %%% %%% In this bibliography, entries are sorted in %%% publication order within each journal, %%% using bibsort -bypages. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== %%% Provide a fallback of Polish ogonok accent to cedilla, and another %%% macro, if necessary @Preamble{ "\ifx \k \undefined \let \k = \c \fi" } %%%===================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"} @String{ack-sf = "Stefano Foresti, Utah Supercomputing Institute, University of Utah, Salt Lake City, UT 84112, USA, Tel: +1 801 581 3173, FAX: +1 801 585 5366, e-mail: \path|stefano@osiris.usi.utah.edu|"} %%%===================================================================== %%% Journal abbreviations: @String{j-NUM-MATH = "Numerische Mathematik"} %%%===================================================================== %%% Publishers and their addresses: @String{pub-SV = "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} %%%===================================================================== %%% Bibliography entries. @Article{Stiefel:1959:DLT, author = "E. Stiefel", title = "{{\"U}ber diskrete und lineare Tschebyscheff-Approximationen}. ({German}) [{On} Discrete and Linear {Chebyshev} Approximations]", journal = j-NUM-MATH, volume = "1", pages = "1--28", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Householder:1959:CME, author = "Alston S. Householder and Friedrich L. Bauer", title = "On Certain Methods for Expanding the Characteristic Polynomial", journal = j-NUM-MATH, volume = "1", pages = "29--37", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:40:54 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", keywords = "characteristic polynomial; eig; nla", } @Article{Weisfeld:1959:OPS, author = "M. Weisfeld", title = "Orthogonal polynomials in several variables", journal = j-NUM-MATH, volume = "1", pages = "38--40", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Perlis:1959:RAL, author = "A. J. Perlis and K. Samelson", title = "Report on the algorithmic language {ALGOL} by the {ACM} committee on programming languages and the {GAMM} committee on programming", journal = j-NUM-MATH, volume = "1", pages = "41--60", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Collatz:1959:ELR, author = "Lothar Collatz and J. Schroeder", title = "{Einschlie{\ss}en der L{\"o}sungen von Randwertaufgaben}. ({German}) [{Bracketing} Solutions to Boundary Value Problems]", journal = j-NUM-MATH, volume = "1", pages = "61--72", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Dueck:1959:FEL, author = "W. Dueck", title = "{Eine Fehlerabsch{\"a}tzung zum Einzelschrittverfahren bei linearen Gleichungssystemen}. ({German}) [{An} Error Bound for the Independent Step Method in Linear Equation Systems]", journal = j-NUM-MATH, volume = "1", pages = "73--77", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Kreyszig:1959:RUE, author = "Erwin Kreyszig and John Todd", title = "The radius of univalence of the error function", journal = j-NUM-MATH, volume = "1", pages = "78--89", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Comet:1959:UAB, author = "Stig Com{\'e}t", title = "{{\"U}ber die Anwendung von Bin{\"a}rmodellen in der Theorie der Charaktere der symmetrischen Gruppen}. ({German}) [{On} the use of the Binary Model in the Theory of Characters of Symmetric Groups]", journal = j-NUM-MATH, volume = "1", pages = "90--109", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Walther:1959:NBG, author = "A. Walther and H. Schappert", title = "{Numerische Behandlung des Gelenkvierecks}. ({German}) [{Numerical} Treatment of General Quadrilaterals]", journal = j-NUM-MATH, volume = "1", pages = "110--120", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Cohn:1959:NSR, author = "Harvey Cohn", title = "Numerical study of the representation of a totally positive quadratic integer as the sum of quadratic integral squares", journal = j-NUM-MATH, volume = "1", pages = "121--134", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bertram:1959:VFR, author = "G. Bertram", title = "{Versch{\"a}rfung einer Fehlerabsch{\"a}tzung zum Ritz--Galerkinschen Verfahren von Kryloff f{\"u}r Randwertaufgaben}. ({German}) [{Tightening} of an Error Bound for the {Ritz--Galerkin} Method for {Krylov} Boundary Value Problems]", journal = j-NUM-MATH, volume = "1", pages = "135--141", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See correction \cite{Bertram:1960:BMA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Wynn:1959:PEC, author = "P. Wynn", title = "On the propagation of error in certain non-linear algorithms", journal = j-NUM-MATH, volume = "1", pages = "142--149", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wilkinson:1959:EZIa, author = "J. H. Wilkinson", title = "The evaluation of the zeros of ill-conditioned polynomials. {I}", journal = j-NUM-MATH, volume = "1", pages = "150--166", month = dec, year = "1959", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01386381", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wilkinson:1959:EZIb, author = "J. H. Wilkinson", title = "The evaluation of the zeros of ill-conditioned polynomials. {II}", journal = j-NUM-MATH, volume = "1", pages = "167--180", month = dec, year = "1959", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01386382", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bertram:1959:FGS, author = "G. Bertram", title = "{Eine Fehlerabsch{\"a}tzung f{\"u}r gewisse selbstadjungierte, gew{\"o}hnliche Randwertaufgaben}. ({German}) [{An} error estimate for certain adjoint ordinary boundary value problems]", journal = j-NUM-MATH, volume = "1", number = "1", pages = "181--185", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=181", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Kreiss:1959:DHG, author = "Heinz-Otto Kreiss", title = "{{\"U}ber die Differenzapproximation hoher Genauigkeit bei Anfangswertproblemen f{\"u}r partielle Differentialgleichungen}. ({German}) [On the difference approximation of higher accuracy with initial value problems for partial differential equations]", journal = j-NUM-MATH, volume = "1", number = "1", pages = "186--202", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=186", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Wynn:1959:SCI, author = "P. Wynn", title = "A sufficient condition for the instability of the q-d algorithm", journal = j-NUM-MATH, volume = "1", number = "1", pages = "203--207", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=203", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bauer:1959:NFT, author = "F. L. Bauer and H. J. Stetter", title = "{Zur numerischen Fourier--Transformation}. ({German}) [{The} numerical {Fourier} transform]", journal = j-NUM-MATH, volume = "1", number = "1", pages = "208--220", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=208", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Sikkema:1959:GAB, author = "P. C. Sikkema", title = "{\"U}ber den {Grad} der {Approximation} mit {Bernstein--Polynomen}. ({German}) [{On} the degree of approximation with {Bernstein} polynomials]", journal = j-NUM-MATH, volume = "1", number = "1", pages = "221--239", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=221", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Parter:1959:SLI, author = "Seymour V. Parter", title = "On ``two-line'' iterative methods for the {Laplace} and biharmonic difference equations", journal = j-NUM-MATH, volume = "1", number = "1", pages = "240--252", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=240", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Cheney:1959:NMC, author = "E. W. Cheney and A. A. Goldstein", title = "{Newton}'s method for convex programming and {Tchebycheff} approximation", journal = j-NUM-MATH, volume = "1", number = "1", pages = "253--268", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=253", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Dijkstra:1959:NTP, author = "E. W. Dijkstra", title = "A note on two problems in connexion with graphs", journal = j-NUM-MATH, volume = "1", number = "1", pages = "269--271", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=269", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wynn:1959:CFCa, author = "P. Wynn", title = "Converging factors for continued fractions. {Part I}", journal = j-NUM-MATH, volume = "1", number = "1", pages = "272--307", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=272", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wynn:1959:CFCb, author = "P. Wynn", title = "Converging factors for continued fractions. {Part II}", journal = j-NUM-MATH, volume = "1", number = "1", pages = "308--320", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=308", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stiefel:1960:NJE, author = "E. Stiefel", title = "Note on {Jordan} elimination, linear programming and {Tchebyscheff} approximation", journal = j-NUM-MATH, volume = "2", pages = "1--17", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wetterling:1960:EKB, author = "W. Wetterling", title = "{Zum Einschlie{\ss}ungssatz von Kryloff-Bogoliubov f{\"u}r allgemeine Eigenwertaufgaben bei gew{\"o}hnlichen Differentialgleichungen}. ({German}) [{An} enclosure theorem of {Kryloff-Bogoliubov} for ordinary eigenvalue problems in ordinary differential equations]", journal = j-NUM-MATH, volume = "2", pages = "18--21", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Feb 22 18:37:37 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Kato:1960:EIM, author = "Tosio Kato", title = "Estimation of Iterated Matrices, with Application to the {von Neumann} Condition", journal = j-NUM-MATH, volume = "2", pages = "22--29", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Hull:1960:NME, author = "T. E. Hull and W. A. J. Luxemburg", title = "Numerical methods and existence theorems for ordinary differential equations", journal = j-NUM-MATH, volume = "2", pages = "30--41", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bauer:1960:MCR, author = "F. L. Bauer and A. S. Householder", title = "Moments and Characteristic Roots", journal = j-NUM-MATH, volume = "2", pages = "42--53", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", keywords = "eig; la; pert", } @Article{Bertram:1960:BMA, author = "G. Bertram", title = "{Berichtigung zu meinen Arbeit ,,Versch{\"a}rfung einer Fehlerabsch{\"a}tzung \ldots{} [Num. Math. {\bf 1}, 135--141 (1959)]}. ({German}) [{Correction} to my Paper ``{Tightening} of an Error Bound \ldots{}'']", journal = j-NUM-MATH, volume = "2", pages = "54--54", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Bertram:1959:VFR}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Householder:1960:CIM, author = "A. S. Householder and F. L. Bauer", title = "On Certain Iterative Methods for Solving Linear Systems", journal = j-NUM-MATH, volume = "2", pages = "55--59", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", keywords = "iter; linear system; nla", } @Article{Lehmann:1960:FRV, author = "N. J. Lehmann", title = "{Eine Fehlerabsch{\"a}tzung zum Ritzschen Verfahren f{\"u}r inhomogene Randwertaufgaben}. ({German}) [{An} Error Bound for the {Ritz} Method for Inhomogeneous Boundary Value Problems]", journal = j-NUM-MATH, volume = "2", pages = "60--66", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Causey:1960:CAE, author = "Robert L. Causey and Peter Henrici", title = "Convergence of approximate eigenvectors in {Jacobi} methods", journal = j-NUM-MATH, volume = "2", pages = "67--78", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Borsch-Supan:1960:BFB, author = "W. B{\"o}rsch-Supan", title = "{Bemerkungen zur Fehlerabsch{\"a}tzung beim Ritz--Galerkin-Verfahren nach Krylow}. ({German}) [{Remark} on the Error Bounds of the {Ritz--Galerkin} Method of {Krylov}]", journal = j-NUM-MATH, volume = "2", pages = "79--83", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Halton:1960:ECQ, author = "J. H. Halton", title = "On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals", journal = j-NUM-MATH, volume = "2", pages = "84--90", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See correction \cite{Halton:1960:BEC}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Douglas:1960:NMS, author = "Jim Douglas", title = "A numerical method for the solution of a parabolic system", journal = j-NUM-MATH, volume = "2", pages = "91--98", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Veidinger:1960:NDB, author = "L. Veidinger", title = "On the numerical determination of the best approximations in the {Chebyshev} sense", journal = j-NUM-MATH, volume = "2", pages = "99--105", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Naur:1960:RAL, author = "Peter Naur and J. W. Backus and F. L. Bauer and J. Green and C. Katz and J. MacCarthy and A. J. Perlis and H. Rutishauser and K. Samelson and B. Vauquois and J. H. Wegstein and A. van Wijngaarden and M. Woodger", title = "Report on the algorithmic language {Algol 60}", journal = j-NUM-MATH, volume = "2", pages = "106--136", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bauer:1960:NET, author = "F. L. Bauer and C. T. Fike", title = "Norms and Exclusion Theorems", journal = j-NUM-MATH, volume = "2", pages = "137--141", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", keywords = "eig; la; norm; pert", } @Article{Maehly:1960:TAKa, author = "H. Maehly and Ch. Witzgall", title = "{Tschebyscheff-Approximationen in kleinen Intervallen. I}. ({German}) [{Chebyshev} Approximations in Small Intervals. {I}]", journal = j-NUM-MATH, volume = "2", pages = "142--150", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Freud:1960:NK, author = "G. Freud", title = "Nachtrag bei der {Korrektur}. ({German}) [{Supplement} with correction]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "150--150", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:03 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=2&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=2&issue=1&spage=150", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Wynn:1960:UIA, author = "Peter Wynn", title = "{{\"U}ber einen Interpolations-Algorithmus und gewisse andere Formeln, die in der Theorie der Interpolation durch rationale Funktionen bestehen}. ({German}) [{On} interpolation algorithms and certain other formulas existing in the interpolations theory by rational functions]", journal = j-NUM-MATH, volume = "2", pages = "151--182", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Brakhage:1960:UNB, author = "H. Brakhage", title = "{{\"U}ber die numerische Behandlung von Integralgleichungen nach der Quadraturformelmethode}. ({German}) [{On} the Numerical Treatment of Integral Equations for the Quadrature Formula Method]", journal = j-NUM-MATH, volume = "2", pages = "183--196", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Halton:1960:BEC, author = "J. H. Halton", title = "{Berichtigung: ``On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals'' [Num. Math. {\bf 2}, 84--90 (1960)]}. ({German}) [{Correction}]", journal = j-NUM-MATH, volume = "2", pages = "196--196", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Halton:1960:ECQ}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German, English", } @Article{Clenshaw:1960:MNI, author = "C. W. Clenshaw and A. R. Curtis", title = "A method for numerical integration on an automatic computer", journal = j-NUM-MATH, volume = "2", pages = "197--205", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Esseen:1960:UAB, author = "C. G. Esseen", title = "{{\"U}ber die asymptotisch beste Approximation stetiger Funktionen mit Hilfe von Bernstein-Polynomen}. ({German}) [{On} the Asymptotically Best Approximation of Continuous Functions with the Aid of {Berstein} Polynomials]", journal = j-NUM-MATH, volume = "2", pages = "206--213", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Salzer:1960:OPN, author = "Herbert E. Salzer", title = "Optimal points for numerical differentiation", journal = j-NUM-MATH, volume = "2", pages = "214--227", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Magnus:1960:ZHF, author = "Wilhelm Magnus and Leon Kotin", title = "The zeros of the {Hankel} function as a function of its order", journal = j-NUM-MATH, volume = "2", pages = "228--244", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Albrecht:1960:ASP, author = "Rudolf F. Albrecht", title = "Approximation to the solution of partial differential-equations by the solution of ordinary differential-equations", journal = j-NUM-MATH, volume = "2", pages = "245--262", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Rutishauser:1960:BNI, author = "Heinz Rutishauser", title = "{Bemerkungen zur numerischen Integration gew{\"o}hnlicher Differentialgleichungen $n$-ter Ordnung}. ({German}) [{Remark} on the Numerical Integration of $n$-th Order Ordinary Differential Equations]", journal = j-NUM-MATH, volume = "2", pages = "263--279", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Neubuser:1960:UUE, author = "J. Neub{\"u}ser", title = "{Untersuchungen des Untergruppenverbandes endlicher Gruppen auf einer programmgesteuerten elektronischen Dualmaschine}. ({German}) [{Investigation} of Subroup Units of Finite Groups with a Programmable Electronic Dual Machine]", journal = j-NUM-MATH, volume = "2", pages = "280--292", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Maehly:1960:TAKb, author = "H. Maehly and Ch. Witzgall", title = "{Tschebyscheff-Approximationen in kleinen Intervallen. {II}: Stetigkeitss{\"a}tze f{\"u}r gebrochen rationale Approximationen}. ({German}) [{Chebyshev} Approximations in Small Intervals. {II}. Stability Conditions for Broken Rational Approximations]", journal = j-NUM-MATH, volume = "2", pages = "293--307", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Bauer:1960:SII, author = "F. L. Bauer and A. S. Householder", title = "Some inequalities involving the {Euclidean} condition of a matrix", journal = j-NUM-MATH, volume = "2", pages = "308--311", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Dijkstra:1960:RP, author = "E. W. Dijkstra", title = "Recursive programming", journal = j-NUM-MATH, volume = "2", pages = "312--318", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wilkinson:1960:EAF, author = "J. H. Wilkinson", title = "Error Analysis of Floating-Point Computation", journal = j-NUM-MATH, volume = "2", pages = "319--340", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Haas:1960:BEA, author = "Hans-Lothar Haas", title = "{Bestimmung der Eigenwerte des allgemeinen Eigenwertproblems}. ({German}) [{Determination} of the eigenvalues of the general eigenvalue problem]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "341--343", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:03 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=2&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=2&issue=1&spage=341", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Schopf:1960:KI, author = "Andreas H. Schopf", title = "On the {Kantorovich} inequality", journal = j-NUM-MATH, volume = "2", number = "1", pages = "344--346", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:03 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=2&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=2&issue=1&spage=344", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Cohn:1960:NSW, author = "Harvey Cohn", title = "A numerical study of {Weber}'s real class number calculation. {Part I}", journal = j-NUM-MATH, volume = "2", number = "1", pages = "347--362", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:03 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=2&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=2&issue=1&spage=347", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lehmann:1961:INR, author = "N. J. Lehmann", title = "{Das inhomogene nat{\"u}rliche Randwertproblem und Fehlerabsch{\"a}tzungen f{\"u}r N{\"a}herungsl{\"o}sungen}. ({German}) [{The} Inhomogeneous Natural Boundary Value Problem and Error Bounds for Approximate Solution]", journal = j-NUM-MATH, volume = "3", pages = "1--29", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Schafke:1961:VBC, author = "Friedrich Wilhelm Sch{\"a}fke", title = "{Ein Verfahren zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung. I}. ({German}) [{A} Method for Calculation of Characteristic Exponents of the {Mathiew} Differential Equation. {I}]", journal = j-NUM-MATH, volume = "3", pages = "30--38", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Schroder:1961:FRG, author = "Johann Schr{\"o}der", title = "{Fehlerabsch{\"a}tzung mit Rechenanlagen bei gew{\"o}nlichen Differentialgleichungen erster Ordnung}. ({German}) [{Computational} error bounds for first-order ordinary differential equations]", journal = j-NUM-MATH, volume = "3", pages = "39--61", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:44:54 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Schonhage:1961:FIG, author = "A. Sch{\"o}nhage", title = "{Fehlerfortpflanzung bei Interpolation}. ({German}) [{Error} Transmission in Interpolation]", journal = j-NUM-MATH, volume = "3", pages = "62--71", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Cheney:1961:TNA, author = "E. W. Cheney and H. L. Loeb", title = "Two new algorithms for rational approximation", journal = j-NUM-MATH, volume = "3", pages = "72--75", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Luke:1961:RUF, author = "Yudell L. Luke", title = "The radius of univalence of the function exp $z^2 \int_0^z$ exp $(-t^2) dt$", journal = j-NUM-MATH, volume = "3", pages = "76--78", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Karst:1961:FMZ, author = "E. Karst", title = "{Faktorenzerlegung Mersennescher Zahlen mittels programmgesteuerter Rechenger{\"a}te}. ({German}) [{Factorization} of {Mersenne} Numbers with Programmable Computers]", journal = j-NUM-MATH, volume = "3", pages = "79--86", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Kjellberg:1961:SRM, author = "G{\"o}ran Kjellberg", title = "On the successive over-relaxation method for cyclic operators", journal = j-NUM-MATH, volume = "3", pages = "87--91", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Douglas:1961:ADI, author = "J. {Douglas, Jr.}", title = "Alternating direction iteration for mildly nonlinear elliptic difference equations", journal = j-NUM-MATH, volume = "3", pages = "92--98", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See correction \cite{Douglas:1962:CMP}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Collatz:1961:MEB, author = "Lothar Collatz", title = "{Monotonie und Extremalprinzipien beim Newtonschen Verfahren}. ({German}) [{Monotonicty} and Extremal Principles of {Newton} Methods]", journal = j-NUM-MATH, volume = "3", pages = "99--106", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Sikkema:1961:WEK, author = "P. C. Sikkema", title = "{Der Wert einiger Konstanten in der Theorie der Approximation mit Bernstein-Polynomen.}. ({German}) [{The} Value of Some Constants in the Approximation Theory for {Bernstein} Polynomials]", journal = j-NUM-MATH, volume = "3", pages = "107--116", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Bauer:1961:FGK, author = "F. L. Bauer", title = "A further generalization of the {Kantorovic} inequality", journal = j-NUM-MATH, volume = "3", pages = "117--119", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 16:10:24 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Salzer:1961:SEB, author = "Herbert E. Salzer", title = "Some extensions of {Bairstow}'s method", journal = j-NUM-MATH, volume = "3", pages = "120--124", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schroder:1961:VFG, author = "Johann Schr{\"o}der", title = "{Verbesserung einer Fehlerabsch{\"a}tzung f{\"u}r gew{\"o}hnliche Differentialgleichungen erster Ordnung}. ({German}) [{Improvement} of error bounds for first-order ordinary differential equations]", journal = j-NUM-MATH, volume = "3", pages = "125--130", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:45:02 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Albrecht:1961:DNL, author = "Rudolf Albrecht and Wolfram Ulrich", title = "{Ein Differenzenverfahren zur n{\"a}herungsweisen L{\"o}sung des Anfangswertproblems f{\"u}r Systeme halblinearer partieller Differentialgleichungen. 1. Ordnung}. ({German}) [{A} Difference Equation for Approximate Solution of Initial Value Problems for Half-Linear Partial Differential Equations. 1. {Order}]", journal = j-NUM-MATH, volume = "3", pages = "131--146", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Golub:1961:CSIa, author = "Gene H. Golub and Richard S. Varga", title = "{Chebyshev} Semi-Iterative Methods, Successive Overrelaxation Iterative Methods, and Second Order {Richardson} Iterative Methods. {I}", journal = j-NUM-MATH, volume = "3", pages = "147--156", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65.35", MRnumber = "26\#3207", MRreviewer = "J. R. Cannon", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/tex/bib/gvl.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "iter; nla; relaxation; Richardson's method; semi-iterative method", } @Article{Golub:1961:CSIb, author = "Gene H. Golub and Richard S. Varga", title = "{Chebyshev} Semi-Iterative Methods, Successive Overrelaxation Iterative Methods, and Second Order {Richardson} Iterative Methods. {II}", journal = j-NUM-MATH, volume = "3", pages = "157--168", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65.35", MRnumber = "26\#3208", MRreviewer = "J. R. Cannon", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/tex/bib/gvl.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "iter; nla; relaxation; Richardson's method; semi-iterative method", } @Article{Hsu:1961:NNI, author = "L. C. Hsu", title = "Note on the numerical integration of periodic functions and of partially periodic functions", journal = j-NUM-MATH, volume = "3", pages = "169--173", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Brakhage:1961:FNE, author = "H. Brakhage", title = "{Zur Fehlerabsch{\"a}tzung f{\"u}r die numerische Eigenwertbestimmung bei Integralgleichungen}. ({German}) [{Toward} Error Bounds for Numerical Eigenvalue Determination in Integral Equations]", journal = j-NUM-MATH, volume = "3", pages = "174--179", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Descloux:1961:DAT, author = "J. Descloux", title = "{D}{\'e}g{\'e}n{\'e}rescence dans les approximations de {Tschebyscheff} lin{\'e}aires et discr{\`e}tes. ({French}) [{Degeneration} in Linear and Discrete {Chebyshev} Approximations]", journal = j-NUM-MATH, volume = "3", pages = "180--187", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "French", } @Article{Albrecht:1961:FRN, author = "J. Albrecht", title = "{Fehlerabsch{\"a}tzungen bei Relaxationsverfahren zur numerischen Aufl{\"o}sung linearer Gleichungssysteme}. ({German}) [{Error} Bounds for the Relaxation Method for Numerical Solution of Linear Equation Systems]", journal = j-NUM-MATH, volume = "3", pages = "188--201", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Blum:1961:SPE, author = "M. Blum", title = "A stagewise parameter estimation procedure for correlated data", journal = j-NUM-MATH, volume = "3", pages = "202--208", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bergman:1961:AMK, author = "Stefan Bergman and John G. Herriot", title = "Application of the method of the kernel function for solving boundary- value problems", journal = j-NUM-MATH, volume = "3", pages = "209--225", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lauchli:1961:JEA, author = "Peter L{\"a}uchli", title = "{Jordan-Elimination und Ausgleichung nach kleinsten Quadraten}. ({German}) [{Jordan} elimination and balancing using least squares]", journal = j-NUM-MATH, volume = "3", pages = "226--240", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Feb 13 07:28:41 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", language = "German", } @Article{Bauer:1961:ANC, author = "F. L. Bauer and A. S. Householder", title = "Absolute norms and characteristic roots", journal = j-NUM-MATH, volume = "3", pages = "241--246", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Fisser:1961:STA, author = "H. Fisser", title = "Some tests applied to pseudo-random numbers generated by {v. H{\"o}rner}'s rule", journal = j-NUM-MATH, volume = "3", pages = "247--249", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Felsch:1961:PRG, author = "H. Felsch", title = "{Programmierung der Restklassenabz{\"a}hlung einer Gruppe nach Untergruppen}. ({German}) [{Programming} of Residue Classes of a Group via its Subgroups]", journal = j-NUM-MATH, volume = "3", pages = "250--256", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Bauer:1961:AMN, author = "F. L. Bauer and J. Stoer and C. Witzgall", title = "Absolute and Monotonic Norms", journal = j-NUM-MATH, volume = "3", pages = "257--264", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Liniger:1961:MDH, author = "Werner Liniger", title = "On a Method by {D. H. Lehmer} for the Generation of Pseudo Random Numbers", journal = j-NUM-MATH, volume = "3", pages = "265--270", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:29:06 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Neubuser:1961:BUE, author = "J. Neub{\"u}ser", title = "{Bestimmung der Untergruppenverb{\"a}nde endlicher $p$-Gruppen auf einer programmgesteuerten elektronischen Dualmaschine}. ({German}) [{Determination} of subgroups of finite $p$-groups on a program-controlled electronic {Dual} machine]", journal = j-NUM-MATH, volume = "3", number = "1", pages = "271--278", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=271", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Chakravarti:1961:TEI, author = "P. C. Chakravarti", title = "Truncation error in interpolation and numerical differentiation", journal = j-NUM-MATH, volume = "3", number = "1", pages = "279--284", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=279", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stoer:1961:ZAI, author = "Josef Stoer", title = "{{\"U}ber zwei Algorithmen zur Interpolation mit rationalen Funktionen}. ({German}) [{On} two algorithms for interpolation with rational functions]", journal = j-NUM-MATH, volume = "3", number = "1", pages = "285--304", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=285", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Parter:1961:SLI, author = "Seymour V. Parter", title = "``Multi-line'' iterative methods for elliptic difference equations and fundamental frequencies", journal = j-NUM-MATH, volume = "3", number = "1", pages = "305--319", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=305", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Salzer:1961:SEBb, author = "Herbert E. Salzer and R. Zurm{\"u}hl", title = "Some extensions of {Bairstow}'s method", journal = j-NUM-MATH, volume = "3", number = "1", pages = "320--320", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=320", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stetter:1961:CCF, author = "Hans J. Stetter", title = "On the convergence of characteristic finite-difference methods of high accuracy for quasi-linear hyperbolic equations", journal = j-NUM-MATH, volume = "3", number = "1", pages = "321--344", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=321", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Albrecht:1961:MII, author = "J. Albrecht", title = "{Monotone Iterationsfolgen und ihre Verwendung zur L{\"o}sung linearer Gleichungssysteme}. ({German}) [Monotonic iteration sequences and their use in solving sets of linear equations]", journal = j-NUM-MATH, volume = "3", number = "1", pages = "345--358", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=345", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Wilson:1961:DDP, author = "Walter L. Wilson", title = "On discrete {Dirichlet} and plateau problems", journal = j-NUM-MATH, volume = "3", number = "1", pages = "359--373", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=359", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schonhage:1961:KJV, author = "A. Sch{\"o}nhage", title = "{Zur Konvergenz des Jacobi--Verfahrens}. ({German}) [{On} the convergence of the {Jacobi} method]", journal = j-NUM-MATH, volume = "3", number = "1", pages = "374--380", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=374", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Gautschi:1961:NIO, author = "Walter Gautschi", title = "Numerical integration of ordinary differential equations based on trigonometric polynomials", journal = j-NUM-MATH, volume = "3", number = "1", pages = "381--397", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=381", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lees:1961:ADS, author = "Milton Lees", title = "Alternating direction and semi-explicit difference methods for parabolic partial differential equations", journal = j-NUM-MATH, volume = "3", number = "1", pages = "398--412", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=398", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schafke:1962:VBC, author = "Friedrich Wilhelm Sch{\"a}fke and Rudolf Ebert and Helmut Groh", title = "{Ein Verfahren zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung. II}. ({German}) [{A} Method for Calculation of Characteristic Exponents of the {Mathiew} Differential Equation. {II}]", journal = j-NUM-MATH, volume = "4", pages = "1--7", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Wynn:1962:CTN, author = "P. Wynn", title = "A comparison technique for the numerical transformation of slowly convergent series based on the use of rational functions", journal = j-NUM-MATH, volume = "4", pages = "8--14", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schneider:1962:CTS, author = "Hans Schneider and W. Gilbert Strang", title = "Comparison Theorems for Supremum Norms", journal = j-NUM-MATH, volume = "4", pages = "15--20", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Treuenfels:1962:SLR, author = "P. Treuenfels", title = "{Schranken f{\"u}r L{\"o}sungen von Randwertaufgaben}. ({German}) [{Bounds} for Solution of Boundary Value Problems]", journal = j-NUM-MATH, volume = "4", pages = "21--23", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Henrici:1962:BII, author = "Peter Henrici", title = "Bounds for Iterates, Inverses, Spectral Variation and Fields of Values of Non-Normal Matrices", journal = j-NUM-MATH, volume = "4", pages = "24--39", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", keywords = "eig; field of values; inverse matrix; la; nonnormal matrix; pert", } @Article{Douglas:1962:ADM, author = "Jim {Douglas, Jr.}", title = "Alternating direction methods for three space variables", journal = j-NUM-MATH, volume = "4", pages = "41--63", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schafke:1962:BEM, author = "F. W. Sch{\"a}fke and H. Groh", title = "{Zur Berechnung der Eigenwerte der Mathieuschen Differentialgleichung}. ({German}) [{Toward} Computation of Eigenvalues of the {Mathieu} Differential Equation]", journal = j-NUM-MATH, volume = "4", pages = "64--67", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Richtmyer:1962:CFE, author = "R. D. Richtmyer and Marjorie Devaney and N. Metropolis", title = "Continued fraction expansions of algebraic numbers", journal = j-NUM-MATH, volume = "4", pages = "68--84", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Frank:1962:CFEa, author = "E. Frank", title = "On continued fraction expansions for binomial quadratic surds", journal = j-NUM-MATH, volume = "4", pages = "85--95", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Douglas:1962:NMI, author = "J. {Douglas, Jr.} and B. F. {Jones, Jr.}", title = "Numerical methods for integrodifferential equations of parabolic and hyperbolic types", journal = j-NUM-MATH, volume = "4", pages = "96--102", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bauer:1962:FVS, author = "F. L. Bauer", title = "On the field of values subordinate to a norm", journal = j-NUM-MATH, volume = "4", pages = "103--113", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stone:1962:BPR, author = "Betty Jane Stone", title = "Best Possible Ratios of Certain Matrix Norms", journal = j-NUM-MATH, volume = "4", pages = "114--116", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 19 15:23:15 GMT 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Gautschi:1962:IVC, author = "Walter Gautschi", title = "On Inverses of {Vandermonde} and Confluent {Vandermonde} Matrices", journal = j-NUM-MATH, volume = "4", pages = "117--123", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Cheney:1962:RCA, author = "E. W. Cheney and H. L. Loeb", title = "On rational {Chebyshev} approximation", journal = j-NUM-MATH, volume = "4", pages = "124--127", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Harary:1962:GTA, author = "Frank Harary", title = "A graph theoretic approach to matrix inversion by partitioning", journal = j-NUM-MATH, volume = "4", pages = "128--135", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Morimoto:1962:SWE, author = "Hirofumi Morimoto", title = "Stability in the wave equation coupled with heat flow", journal = j-NUM-MATH, volume = "4", pages = "136--145", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Goldstein:1962:CMM, author = "A. A. Goldstein", title = "{Cauchy}'s method of minimization", journal = j-NUM-MATH, volume = "4", pages = "146--150", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lindenberg:1962:UDG, author = "Wolfgang Lindenberg", title = "{{\"U}ber eine Darstellung von Gruppenelementen in digitalen Rechenautomaten}. ({German}) [{On} a representation of group elements in computers]", journal = j-NUM-MATH, volume = "4", pages = "151--153", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Werner:1962:SDT, author = "Helmut Werner", title = "{Ein Satz {\"u}ber diskete Tschebyscheff-Approximation bei gebrochen linearer Funktionen}. ({German}) [{A} proposition on the discrete {Chebyshev} approximation of broken linear functions]", journal = j-NUM-MATH, volume = "4", pages = "154--157", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:45:51 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Stoer:1962:TDM, author = "J. Stoer and C. Witzgall", title = "Transformations by Diagonal Matrices in a Normed Space", journal = j-NUM-MATH, volume = "4", pages = "158--171", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", fjournal = "Numerische Mathematik", } @Article{Pearcy:1962:CAD, author = "C. Pearcy", title = "On convergence of alternating direction procedures", journal = j-NUM-MATH, volume = "4", pages = "172--176", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Buck:1962:SA, author = "R. C. Buck", title = "Stochastic ascent", journal = j-NUM-MATH, volume = "4", pages = "177--186", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Greenstadt:1962:SNE, author = "John Greenstadt", title = "Some numerical experiments in triangularizing matrices", journal = j-NUM-MATH, volume = "4", pages = "187--195", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Albrecht:1962:FKM, author = "Julius Albrecht", title = "{Fehlerschranken und Konvergenzbeschleunigung bei einer monotonen oder alternierenden Iterationsfolge}. ({German}) [{Error} Bounds and Convergence Acceleration with a Monotone or Alternating Iteration Sequence]", journal = j-NUM-MATH, volume = "4", pages = "196--208", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Chow:1962:SLE, author = "Tse-Sun Chow and Harold W. Milnes", title = "Solution of {Laplace}'s equation by boundary contraction over regions of irregular shape", journal = j-NUM-MATH, volume = "4", pages = "209--225", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Uhlmann:1962:UFD, author = "W. Uhlmann", title = "{{\"U}ber den Fehler bei Differenzenverfahren f{\"u}r die Poissonsche Differentialgleichung}. ({German}) [{On} the Bound of Difference Method for {Poisson} Differential Equation]", journal = j-NUM-MATH, volume = "4", pages = "226--237", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Benders:1962:PPS, author = "J. F. Benders", title = "Partitioning procedures for solving mixed-variables programming problems", journal = j-NUM-MATH, volume = "4", pages = "238--252", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Albrecht:1962:NTI, author = "R. F. Albrecht and W. Urich", title = "Numerical treatment of the initial value problem for systems of quasilinear partial differential equations of first order", journal = j-NUM-MATH, volume = "4", pages = "253--261", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Nitsche:1962:ATA, author = "Johannes C. C. Nitsche", title = "{{\"U}ber die Abh{\"a}ngigkeit der Tschebyscheffschen Approximierenden einer differenzierbaren Funktion vom Intervall}. ({German}) [{On} the relation of {Chebyshev} approximations for a differentiable interval function]", journal = j-NUM-MATH, volume = "4", pages = "262--276", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:46:19 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Parter:1962:SCP, author = "Seymour V. Parter", title = "Stability, convergence, and pseudo-stability of finite-difference equations for an over-determined problem", journal = j-NUM-MATH, volume = "4", pages = "277--292", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Parter:1962:ONS, author = "Seymour V. Parter", title = "An observation on the numerical solution of difference equations and a theorem of {Szeg{\"o}}", journal = j-NUM-MATH, volume = "4", pages = "293--295", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wilkinson:1962:NQC, author = "J. H. Wilkinson", title = "Note on the quadratic convergence of the cyclic {Jacobi} process", journal = j-NUM-MATH, volume = "4", pages = "296--300", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Douglas:1962:CMP, author = "Jim {Douglas, Jr.}", title = "A correction to my paper {``Alternating direction iteration for mildly nonlinear elliptic difference equations''}", journal = j-NUM-MATH, volume = "4", pages = "301--302", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Douglas:1961:ADI}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Frank:1962:CFEb, author = "Evelyn Frank", title = "On continued fraction expansion for binomial quadratic surds. {II}", journal = j-NUM-MATH, volume = "4", pages = "303--309", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schafke:1962:BES, author = "Friedrich Wilhelm Sch{\"a}fke and Helmut Groh", title = "{Zur Berechnung der Eigenwerte der Sph{\"a}roiddifferentialgleichung}. ({German}) [{On} the Calculation of the Eigenvalues of the Spheroidal Differential Equation]", journal = j-NUM-MATH, volume = "4", pages = "310--312", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Bramble:1962:FFD, author = "J. H. Bramble and B. E. Hubbard", title = "On the formulation of finite difference analogues of the {Dirichlet} problem for {Poisson}'s equation", journal = j-NUM-MATH, volume = "4", pages = "313--327", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wilson:1962:MSS, author = "Walter L. {Wilson, Jr.}", title = "$d$-minimal surfaces spanning polygons in {$E_n$} by solving a linear system", journal = j-NUM-MATH, volume = "4", pages = "328--329", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Hsu:1962:NIN, author = "L. C. Hsu", title = "On the numerical integration of non-periodic functions of several variables", journal = j-NUM-MATH, volume = "4", pages = "330--335", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Brenner:1962:PSI, author = "C. Brenner and J. L. Brenner", title = "The popularity of small integers as primitive roots", journal = j-NUM-MATH, volume = "4", pages = "336--342", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Davis:1962:NSP, author = "Chandler Davis", title = "The norm of the {Schur} product operation", journal = j-NUM-MATH, volume = "4", pages = "343--344", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Rivlin:1962:PBU, author = "T. J. Rivlin", title = "Polynomials of best uniform approximation to certain rational functions", journal = j-NUM-MATH, volume = "4", pages = "345--349", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Marcus:1962:ICC, author = "Marvin Marcus", title = "An inequality connecting the {$P$}-condition number and the determinant", journal = j-NUM-MATH, volume = "4", pages = "350--353", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wilkinson:1962:HMS, author = "J. H. Wilkinson", title = "{Householder}'s method for symmetric matrices", journal = j-NUM-MATH, volume = "4", pages = "354--361", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wilkinson:1962:CESa, author = "J. H. Wilkinson", title = "Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection", journal = j-NUM-MATH, volume = "4", pages = "362--367", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wilkinson:1962:CESb, author = "J. H. Wilkinson", title = "Calculation of the eigenvectors of a symmetric tridiagonal matrix by inverse iteration", journal = j-NUM-MATH, volume = "4", pages = "368--376", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Zurmuhl:1963:BVH, author = "R. Zurm{\"u}hl", title = "{Bemerkungen zum Verfahren von Hessenberg}. ({German}) [{Remark} on a Method of {Hessenberg}]", journal = j-NUM-MATH, volume = "4", pages = "377--380", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Salzer:1963:EWF, author = "Herbert E. Salzer", title = "Equally-weighted formulas for numerical differentiation", journal = j-NUM-MATH, volume = "4", pages = "381--392", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wohlfahrt:1963:UBP, author = "Klaus Wohlfahrt", title = "{{\"U}ber die Berechnung der Periodenverh{\"a}ltnisse elliptischer Gebilde}. ({German}) [{On} the Calculation of the Relationship of the Periods of Elliptic Structures]", journal = j-NUM-MATH, volume = "4", pages = "393--397", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Nagler:1963:PST, author = "H. Nagler", title = "On a property of simplex tableaux in the transportation problem", journal = j-NUM-MATH, volume = "4", pages = "398--402", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Clenshaw:1963:HSS, author = "C. W. Clenshaw and G. F. Miller and M. Woodger", title = "Algorithms for special functions. {I}", journal = j-NUM-MATH, volume = "4", pages = "403--419", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Special functions", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Backus:1963:RRA, author = "J. W. Backus and F. L. Bauer and J. Green and C. Katz and J. McCarthy and P. Naur and A. J. Perlis and H. Rutishauser and K. Samelson and B. Vauquois and J. H. Wegstein and A. van Wijngaarden and M. Woodger", title = "Revised report on the algorithmic language {ALGOL} 60", journal = j-NUM-MATH, volume = "4", pages = "420--453", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Edited by Peter Naur. Dedicated to the memory of William Turanski.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Neubauer:1963:EUM, author = "Gerhard Neubauer", title = "{Eine empirische Untersuchung zur Mertensschen Funktion}. ({German}) [{An} Empirical Investigation of the {Merten} Function]", journal = j-NUM-MATH, volume = "5", pages = "1--13", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Meinardus:1963:UVU, author = "G{\"u}nter Meinardus", title = "{{\"U}ber eine Verallgemeinerung einer Ungleichung von L. V. Kantorowitsch}. ({German}) [{On} a Generalization of an Inequation of {L. V. Kantorowitsch}]", journal = j-NUM-MATH, volume = "5", pages = "14--23", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Kreiss:1963:UID, author = "Heinz-Otto Kreiss", title = "{{\"U}ber implizite Differenzmethoden f{\"u}r partielle Differentialgleichungen}. ({German}) [{On} Implicit Difference Methods for Partial Differential Equations]", journal = j-NUM-MATH, volume = "5", pages = "24--47", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Rutishauser:1963:ARP, author = "H. Rutishauser", title = "{Ausdehnung des Rombergschen Prinzips}. ({German}) [{Extension} of the {Romberg} Principle]", journal = j-NUM-MATH, volume = "5", pages = "48--54", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Sauer:1963:DHA, author = "Robert Sauer", title = "{Differenzenverfahren f{\"u}r hyperbolische Anfangswertprobleme bei mehr als zwei unabh{\"a}ngigen Ver{\"a}nderlichen mit Hilfe von Nebencharakteristiken}. ({German}) [{Difference} Method for Hyperbolic Initial Value Problems in More than Two Independent Variables with the Aid of Secondary Characteristics]", journal = j-NUM-MATH, volume = "5", pages = "55--67", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Aumann:1963:UVL, author = "Georg Aumann", title = "{{\"U}ber den Vergleichsfaktor bei linearen Approximationsproblemen}. ({German}) [{On} the Comparison Factor for Linear Approximation Problems]", journal = j-NUM-MATH, volume = "5", pages = "68--72", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Bauer:1963:OSM, author = "F. L. Bauer", title = "Optimally Scaled Matrices", journal = j-NUM-MATH, volume = "5", pages = "73--87", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", fjournal = "Numerische Mathematik", } @Article{Struble:1963:OPV, author = "George W. Struble", title = "Orthogonal polynomials: Variable-signed weight functions", journal = j-NUM-MATH, volume = "5", pages = "88--94", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Rutishauser:1963:SSQ, author = "Heinz Rutishauser", title = "{Stabile Sonderf{\"a}lle des Quotienten-Differenzen-Algorithmus}. ({German}) [{Stable} Special Cases of the Quotient-Difference Algorithm]", journal = j-NUM-MATH, volume = "5", pages = "95--112", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Frank:1963:CEB, author = "Evelyn Frank", title = "On continued expansions for binomial quadratic surds. {III}", journal = j-NUM-MATH, volume = "5", pages = "113--117", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Aronson:1963:SCF, author = "D. G. Aronson", title = "On the stability of certain finite difference approximations to parabolic systems of differential equations", journal = j-NUM-MATH, volume = "5", pages = "118--137", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See correction \cite{Aronson:1963:CPS}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Imhof:1963:MNI, author = "J. P. Imhof", title = "On the method for numerical integration of {Clenshaw} and {Curtis}", journal = j-NUM-MATH, volume = "5", pages = "138--141", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Gastinel:1963:DNG, author = "N. Gastinel", title = "Sur-decomposition de normes g{\'e}n{\'e}rales et proc{\'e}d{\'e}s iteratifs. ({French}) [{Super} Decomposition of Generalized Norms and Iterative Procedures]", journal = j-NUM-MATH, volume = "5", pages = "142--151", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "French", } @Article{Lynn:1963:SIM, author = "M. Stuart Lynn", title = "Some infra-max bounds for the spectral radii of splittings of ${H}$-matrices", journal = j-NUM-MATH, volume = "5", pages = "152--174", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Douglas:1963:CAD, author = "J. {Douglas, Jr.} and C. M. Pearcy", title = "On convergence of alternating direction procedures in the presence of singular operators", journal = j-NUM-MATH, volume = "5", pages = "175--184", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Descloux:1963:BSN, author = "Jean Descloux", title = "Bounds for the spectral norm of functions of matrices", journal = j-NUM-MATH, volume = "5", pages = "185--190", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 21:44:06 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", mynote = "f(triangular)", } @Article{Ginsburg:1963:CGM, author = "Theo Ginsburg", title = "The conjugate gradient method", journal = j-NUM-MATH, volume = "5", pages = "191--200", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Seidman:1963:SCD, author = "Thomas I. Seidman", title = "On the stability of certain difference schemes", journal = j-NUM-MATH, volume = "5", pages = "201--210", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Ortega:1963:EAH, author = "James M. Ortega", title = "An Error Analysis of {Householder}'s Method for the Symmetric Eigenvalue Problem", journal = j-NUM-MATH, volume = "5", pages = "211--225", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Fri Nov 25 09:10:08 GMT 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Haemmerlin:1963:UAS, author = "G{\"u}nther Haemmerlin", title = "{{\"U}ber ableitungsfreie Schranken f{\"u}r Quadraturfehler}. ({German}) [{On} Derivative-Free Bounds for Quadrature Error]", journal = j-NUM-MATH, volume = "5", pages = "226--233", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Householder:1963:SVI, author = "A. S. Householder and John A. Carpenter", title = "The singular values of involutory and of idempotent matrices", journal = j-NUM-MATH, volume = "5", pages = "234--237", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Weinstein:1963:SLT, author = "Alexander Weinstein", title = "On the {Sturm--Liouville} theory and the eigenvalues of intermediate problems", journal = j-NUM-MATH, volume = "5", pages = "238--245", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lehmann:1963:OE, author = "N. J. Lehmann", title = "{Optimale Eigenwerteinschliessungen}. ({German}) [{Optimal} Eigenvalue Inclusion]", journal = j-NUM-MATH, volume = "5", pages = "246--272", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Rutishauser:1963:TMS, author = "H. Rutishauser and H. R. Schwarz", title = "The {$LR$} transformation method for symmetric matrices", journal = j-NUM-MATH, volume = "5", pages = "273--289", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Aronson:1963:CPS, author = "D. G. Aronson", title = "A Correction to the Paper {``On the stability of certain finite difference approximations to parabolic systems of differential equations'' [Num. Math. {\bf 5}, 118--137 (1963)]}", journal = j-NUM-MATH, volume = "5", pages = "290--290", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Aronson:1963:SCF}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Hofsommer:1963:NCE, author = "D. J. Hofsommer and R. van de Riet", title = "On the numerical calculation of elliptic integrals of the first and second kind and the elliptic functions of {Jacobi}", journal = j-NUM-MATH, volume = "5", pages = "291--302", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schonhage:1963:OPD, author = "A. Sch{\"o}nhage", title = "{Optimale Punkte f{\"u}r Differentiation und Integration}. ({German}) [{Optimal} Points for Differentiation and Integration]", journal = j-NUM-MATH, volume = "5", pages = "303--331", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Wynn:1963:NCF, author = "P. Wynn", title = "Note on a converging factor for a certain continued fraction", journal = j-NUM-MATH, volume = "5", pages = "332--352", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Tornig:1963:DRN, author = "Willi T{\"o}rnig", title = "{{\"U}ber Differenzverfahren in Rechteckgittern zur numerischen L{\"o}sung quasilinearer hyperbolischer Differentialgleichungen}. ({German}) [{On} the Difference Method in Rectangular Grid for the Numerical Solution of Quasilinear Hyperbolic Differential Equations]", journal = j-NUM-MATH, volume = "5", pages = "353--370", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Stoer:1963:DNP, author = "J. Stoer", title = "Duality in nonlinear programming and the minimax theorem", journal = j-NUM-MATH, volume = "5", pages = "371--379", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Borsch-Supan:1963:PEB, author = "W. B{\"o}rsch-Supan", title = "A Posteriori Error Bounds for the Zeros of Polynomials", journal = j-NUM-MATH, volume = "5", pages = "380--398", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stetter:1963:MBS, author = "Hans J. Stetter", title = "Maximum bounds for the solutions of initial value problems for partial difference equations", journal = j-NUM-MATH, volume = "5", pages = "399--424", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Gautschi:1963:IVC, author = "Walter Gautschi", title = "On Inverses of {Vandermonde} and Confluent {Vandermonde} Matrices. {II}", journal = j-NUM-MATH, volume = "5", pages = "425--430", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Goldstein:1963:SRA, author = "A. A. Goldstein", title = "On the stability of rational approximation", journal = j-NUM-MATH, volume = "5", number = "1", pages = "431--438", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:13 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=5&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=5&issue=1&spage=431", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Kranzer:1963:EFN, author = "H. C. Kranzer", title = "An error formula for numerical differentiation", journal = j-NUM-MATH, volume = "5", number = "1", pages = "439--442", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:13 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=5&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=5&issue=1&spage=439", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Ansorge:1963:AVC, author = "R. Ansorge", title = "{Die Adams--Verfahren als Charakteristikenverfahren h{\"o}herer Ordnung zur L{\"o}sung von hyperbolischen Systemen halblinearer Differentialgleichungen}. ({German}) [The {Adams} method for characteristic procedures of higher order for the solution of hyperbolic systems of half-linear differential equations]", journal = j-NUM-MATH, volume = "5", number = "1", pages = "443--460", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Dec 21 16:41:13 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=5&issue=1; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=5&issue=1&spage=443", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Zurmuhl:1964:AGT, author = "R. Zurm{\"u}hl", title = "{Zur angen{\"a}herten ganzrationalen Tschebyscheff-Approximation mit Hilfe trigonometrischer Interpolation}. ({German}) [{Toward} Approximate Fairly Rational {Chebyshev} Approximation with the Aid of Trigonometric Interpolation]", journal = j-NUM-MATH, volume = "6", pages = "1--5", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Bulirsch:1964:BRI, author = "R. Bulirsch", title = "{Bemerkungen zur Romberg-Integration}. ({German}) [{Remark} on {Romberg} Integration]", journal = j-NUM-MATH, volume = "6", pages = "6--16", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Eve:1964:EP, author = "J. Eve", title = "The evaluation of polynomials", journal = j-NUM-MATH, volume = "6", pages = "17--21", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wynn:1964:GPV, author = "P. Wynn", title = "General purpose vector epsilon algorithm {ALGOL} procedures", journal = j-NUM-MATH, volume = "6", pages = "22--36", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Strang:1964:APD, author = "G. Strang", title = "Accurate partial difference methods. {II}: Non-linear problems", journal = j-NUM-MATH, volume = "6", pages = "37--46", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Goldstein:1964:MPM, author = "A. A. Goldstein and R. B. Kripke", title = "Mathematical Programming by Minimizing Differentiable Functions", journal = j-NUM-MATH, volume = "6", pages = "47--48", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bennett:1964:IEM, author = "J. H. Bennett", title = "Integral equation methods for transport problems. Some numerical results", journal = j-NUM-MATH, volume = "6", pages = "49--54", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stoer:1964:UDN, author = "J. Stoer", title = "{{\"U}ber einen Dualit{\"a}tssatz der nichtlinearen Programmierung}. ({German}) [{On} a duality theorem of nonlinear programming]", journal = j-NUM-MATH, volume = "6", pages = "55--58", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Feb 22 18:39:10 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Tsuda:1964:AMC, author = "T. Tsuda and T. Kiyono", title = "Application of the {Monte Carlo} method to systems of nonlinear algebraic equations", journal = j-NUM-MATH, volume = "6", pages = "59--67", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Salzer:1964:DDF, author = "H. E. Salzer", title = "Divided differences for functions of two variables for irregularly spaces arguments", journal = j-NUM-MATH, volume = "6", pages = "68--77", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schmidt:1964:AMI, author = "Jochen W. Schmidt", title = "{Ausgangsvektoren f{\"u}r monotone Iterationen bei linearen Gleichungsystemen}. ({German}) [{Starting} vectors for monotone iterations of linear equation systems]", journal = j-NUM-MATH, volume = "6", pages = "78--88", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:51:10 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Patry:1964:BF, author = "J. Patry and J. Keller", title = "{Zur Berechnung des Fehlerintegrals}. ({German}) [{Toward} the Computation of Error Integrals]", journal = j-NUM-MATH, volume = "6", pages = "89--97", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Marshall:1964:ITE, author = "A. W. Marshall and I. Olkin", title = "Inclusion theorems for eigenvalues from probability inequalities", journal = j-NUM-MATH, volume = "6", pages = "98--102", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Kripke:1964:BAR, author = "Bernard R. Kripke", title = "Best approximation with respect to nearby norms", journal = j-NUM-MATH, volume = "6", pages = "103--105", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Hageman:1964:BIM, author = "L. A. Hageman and R. S. Varga", title = "Block iterative methods for cyclically reduced matrix equations", journal = j-NUM-MATH, volume = "6", pages = "106--119", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Heap:1964:IPN, author = "B. R. Heap and M. S. Lynn", title = "The index of primitivity of a non-negative matrix", journal = j-NUM-MATH, volume = "6", pages = "120--141", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Tee:1964:ACM, author = "G. J. Tee", title = "An application of $p$-cyclic matrices, for solving periodic parabolic problems", journal = j-NUM-MATH, volume = "6", pages = "142--159", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bittner:1964:UMI, author = "L. Bittner", title = "{{\"U}ber ein mehrstufiges Iterationsverfahren zur L{\"o}sung von linearen Gleichungen}. ({German}) [{On} a More Layered Iteration Method for Solution of Linear Equations]", journal = j-NUM-MATH, volume = "6", pages = "161--180", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Gunn:1964:NSS, author = "J. E. Gunn", title = "The numerical solution of $\nabla\cdot a\nabla u = f$ by a semi-explicit alternating-direction iterative technique", journal = j-NUM-MATH, volume = "6", pages = "181--184", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lynch:1964:DSP, author = "R. Lynch and J. Rice and D. Thomas", title = "Direct solution of partial difference equations by tensor product methods", journal = j-NUM-MATH, volume = "6", pages = "185--199", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 16:10:24 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Suschowk:1964:DAG, author = "D. Suschowk", title = "Difference analogues of {Green}'s identities for grids in {$R^n$}", journal = j-NUM-MATH, volume = "6", pages = "200--210", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Briones:1964:AAC, author = "F. Briones", title = "On the alternants appearing in {Chebyshev}'s best approximation problem", journal = j-NUM-MATH, volume = "6", pages = "211--223", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Ansorge:1964:SGK, author = "Rainer Ansorge", title = "{Zur Struktur gewisser Konvergenzkriterien bei der numerischen L{\"o}sung von Anfangswertaufgaben}. ({German}) [{On} the structure of some convergence criteria for numerical solving of certain initial value problems]", journal = j-NUM-MATH, volume = "6", pages = "224--234", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Boehm:1964:FWB, author = "B. Boehm", title = "Functions whose best rational {Chebyshev} approximation are polynomials", journal = j-NUM-MATH, volume = "6", pages = "235--242", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Gunn:1964:TSI, author = "J. E. Gunn", title = "On the two-stage iterative method of {Douglas} for mildly non-linear elliptic difference equations", journal = j-NUM-MATH, volume = "6", pages = "243--249", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Rosen:1964:PPP, author = "J. B. Rosen", title = "Primal partition programming for block diagonal matrices", journal = j-NUM-MATH, volume = "6", pages = "250--260", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Handscomb:1964:RMC, author = "D. C. Handscomb", title = "Remarks on a {Monte Carlo} integration method", journal = j-NUM-MATH, volume = "6", pages = "261--268", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Broyden:1964:SGT, author = "C. G. Broyden", title = "Some generalisations of the theory of successive over-relaxation", journal = j-NUM-MATH, volume = "6", pages = "269--284", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Mitchell:1964:IFA, author = "A. Mitchell and G. Fairweather", title = "Improved forms of the alternating direction methods of {Douglas}, {Peaceman}, and {Rachford} for solving parabolic and elliptic equations", journal = j-NUM-MATH, volume = "6", pages = "285--292", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lawson:1964:CPS, author = "Ch.L. Lawson", title = "Characteristic properties of the segmented rational minmax approximation problem", journal = j-NUM-MATH, volume = "6", pages = "293--301", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stoer:1964:CLU, author = "J. Stoer", title = "On the characterization of least upper bound norms in matrix space", journal = j-NUM-MATH, volume = "6", pages = "302--314", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wilf:1964:ECN, author = "H. Wilf", title = "Exactness conditions in numerical quadrature", journal = j-NUM-MATH, volume = "6", pages = "315--319", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Filippi:1964:ATA, author = "Siegfried Filippi", title = "{Angen{\"a}herte Tschebyscheff-Approximation einer Stammfunktion des Verfahrens von Clenshaw und Curtis}. ({German}) [{Chebyshev} Approximation of a Primitive Function of the {Clenshaw--Curtis} Methods]", journal = j-NUM-MATH, volume = "6", pages = "320--328", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Azpeitia:1964:DRS, author = "A. G. Azpeitia and D. J. Dickinson", title = "A decision rule in the simplex method that avoids cycling", journal = j-NUM-MATH, volume = "6", pages = "329--331", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schneider:1964:BND, author = "A. Schneider", title = "{Bemerkungen zur numerischen Differentiation}. ({German}) [{Remark} on numerical differentiation]", journal = j-NUM-MATH, volume = "6", pages = "332--334", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Nov 05 10:26:22 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Buchmann:1964:CUJ, author = "M. Buchmann", title = "A condition for uniform {Jordanization} of a family of triangular matrices", journal = j-NUM-MATH, volume = "6", pages = "335--345", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Heap:1964:GTA, author = "B. R. Heap and M. S. Lynn", title = "A graph-theoretic algorithm for the solution of a linear {Diophantine} problem of {Frobenius}", journal = j-NUM-MATH, volume = "6", pages = "346--354", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Nirschl:1964:BFV, author = "N. Nirschl and H. Schneider", title = "The {Bauer} fields of values of a matrix", journal = j-NUM-MATH, volume = "6", pages = "355--365", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Varga:1964:SIG, author = "R. S. Varga", title = "On smallest isolated {Gerschgorin} disks for eigenvalues", journal = j-NUM-MATH, volume = "6", pages = "366--376", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lancaster:1964:EMD, author = "P. Lancaster", title = "On eigenvalues of matrices dependent on a parameter", journal = j-NUM-MATH, volume = "6", pages = "377--387", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lancaster:1964:ALM, author = "P. Lancaster", title = "Algorithms for lambda-matrices", journal = j-NUM-MATH, volume = "6", pages = "388--394", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Weinitschke:1964:UKI, author = "H. J. Weinitschke", title = "{{\"U}ber eine Klasse von Iterationsverfahren}. ({German}) [{On} a Class of Iteration Methods]", journal = j-NUM-MATH, volume = "6", pages = "395--404", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Oettli:1964:CAS, author = "W. Oettli and W. Prager", title = "Compatibility of Approximate Solution of Linear Equations With Given Error Bounds for Coefficients and Right-Hand Sides", journal = j-NUM-MATH, volume = "6", pages = "405--409", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", keywords = "backward perturbation; la; linear system; pert", } @Article{Gerhards:1965:VBV, author = "L. Gerhards and W. Lindenberg", title = "{Ein Verfahren zur Berechnung des vollst{\"a}ndigen Untergruppenverbandes endlicher Gruppen auf Dualmaschinen}. ({German}) [{A} Method for Calculation of the Complete Collection of Subgroups of Finite Groups from Dual Machines]", journal = j-NUM-MATH, volume = "7", number = "1", pages = "1--10", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Schneider:1965:POI, author = "Hans Schneider", title = "Positive operators and an inertia theorem", journal = j-NUM-MATH, volume = "7", number = "1", pages = "11--17", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stetter:1965:AEE, author = "Hans J. Stetter", title = "Asymptotic expansions for the error of discretization algorithms for non- linear functional equations", journal = j-NUM-MATH, volume = "7", number = "1", pages = "18--31", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Braess:1965:MIG, author = "Dietrich Braess", title = "{Monotone Iterationsfolgen bei Gleichungssystemen mit fehlerhaften Koeffizienten und Iterationsbeschleunigung}. ({German}) [{Monotone} Iteration Sequences for Equation Systems with Coefficients Having Errors, and Iteration Acceleration]", journal = j-NUM-MATH, volume = "7", number = "1", pages = "32--41", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Bergmann:1965:NSB, author = "Stefan Bergmann and John G. Herriot", title = "Numerical solution of boundary-value problems by the method of integral operators", journal = j-NUM-MATH, volume = "7", number = "1", pages = "42--65", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Maybee:1965:SST, author = "J. S. Maybee", title = "Some structural theorems for partial difference operators", journal = j-NUM-MATH, volume = "7", number = "1", pages = "66--72", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Hedstrom:1965:NSL, author = "G. W. Hedstrom", title = "The near-stability of the {Lax--Wendroff} method", journal = j-NUM-MATH, volume = "7", number = "1", pages = "73--77", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 16:10:24 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bulirsch:1965:NCEa, author = "Roland Bulirsch", title = "Numerical calculation of elliptic integrals and elliptic functions", journal = j-NUM-MATH, volume = "7", number = "1", pages = "78--90", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Special functions", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Miller:1965:NAS, author = "Keith Miller", title = "Numerical analogs to the {Schwarz} alternating procedure", journal = j-NUM-MATH, volume = "7", number = "2", pages = "91--103", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Metropolis:1965:AUA, author = "N. Metropolis", title = "Algorithms in unnormalized arithmetic. {I}: {Recurrence} relations", journal = j-NUM-MATH, volume = "7", number = "2", pages = "104--112", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "68.00", MRnumber = "MR0178589 (31 \#2846)", MRreviewer = "G. Dahlquist", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Metropolis:1965:BAU}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Parter:1965:MNE, author = "Seymour V. Parter", title = "Mildly nonlinear elliptic partial differential equations and their numerical solution. {I}", journal = j-NUM-MATH, volume = "7", number = "2", pages = "113--128", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Greenspan:1965:MNE, author = "Donald Greenspan and Seymour V. Parter", title = "Mildly nonlinear elliptic partial differential equations and their numerical solution. {II}", journal = j-NUM-MATH, volume = "7", number = "2", pages = "129--146", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Marsal:1965:VSE, author = "Dietrich Marsal", title = "{Eine Verallgemeinerung der Summenformel von Euler und ihre Anwendung auf ausgew{\"a}hlte Probleme der numerischen Integration}. ({German}) [{A} Generalization of {Euler}'s Summation Formula and its Use for Selected Problems of Numerical Integration]", journal = j-NUM-MATH, volume = "7", number = "2", pages = "147--154", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Osborne:1965:NNS, author = "M. R. Osborne", title = "A note on the numerical solution of a periodic parabolic problem", journal = j-NUM-MATH, volume = "7", number = "2", pages = "155--158", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Roark:1965:MCE, author = "A. L. Roark and G. M. Wing", title = "A method for computing the eigenvalues of certain integral equations", journal = j-NUM-MATH, volume = "7", number = "2", pages = "159--170", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Todd:1965:SIG, author = "John Todd", title = "On smallest isolated {Gerschgorin} disks for eigenvalues", journal = j-NUM-MATH, volume = "7", number = "2", pages = "170--175", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Brosowski:1965:ERT, author = "Bruno Brosowski", title = "{{\"U}ber die Eindeutigkeit der rationalen Tschebyscheff-Approximationen}. ({German}) [{On} the uniqueness of rational {Chebyshev} approximations]", journal = j-NUM-MATH, volume = "7", number = "2", pages = "176--186", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 12:04:07 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Parlett:1965:CA, author = "Beresford Parlett", title = "Convergence of the {$QR$} algorithm", journal = j-NUM-MATH, volume = "7", number = "2", pages = "187--193", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Miller:1965:ASF, author = "G. F. Miller", title = "Algorithms for special functions. {II}", journal = j-NUM-MATH, volume = "7", number = "2", pages = "194--196", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Special Functions", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Garsia:1965:SBB, author = "Adriano M. Garsia", title = "Some bounds on best uniform linear approximation", journal = j-NUM-MATH, volume = "7", number = "3", pages = "197--205", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Golub:1965:NMS, author = "G. H. Golub", title = "Numerical Methods for Solving Linear Least Squares Problems", journal = j-NUM-MATH, volume = "7", number = "3", pages = "206--216", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65.20", MRnumber = "31\#5323", MRreviewer = "W. J. Kotz{\'e}", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/tex/bib/gvl.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "Householder transformation; lsq; nla; qrd; updating", } @Article{Bennett:1965:TFM, author = "John M. Bennett", title = "Triangular factors of modified matrices", journal = j-NUM-MATH, volume = "7", number = "3", pages = "217--221", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Kuenzi:1965:DA, author = "H. P. Kuenzi and H. Tzschach", title = "The duoplex-algorithm", journal = j-NUM-MATH, volume = "7", number = "3", pages = "222--225", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Heap:1965:LDP, author = "B. R. Heap and M. S. Lynn", title = "On a linear {Diophantine} problem of {Frobenius}: an improved algorithm", journal = j-NUM-MATH, volume = "7", number = "3", pages = "226--231", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Hammerlin:1965:ASQ, author = "G{\"u}nther H{\"a}mmerlin", title = "{{\"U}ber ableitungsfreie Schranken f{\"u}r Quadraturfehler. II: Erg{\"a}nzungen und M{\"o}glichkeiten zur Verbesserung}. ({German}) [{On} constraints without derivatives for quadrature errors. {II}: Completions and possibilities to improve]", journal = j-NUM-MATH, volume = "7", number = "3", pages = "232--237", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Cochran:1965:ZHF, author = "James Alan Cochran", title = "The zeros of {Hankel} functions as functions of their order", journal = j-NUM-MATH, volume = "7", number = "3", pages = "238--250", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Focke:1965:UMM, author = "J. Focke", title = "{{\"U}ber die Multiplikativit{\"a}t von Matrizennormen}. ({German}) [{On} the Multiplicability of Matrix Norms]", journal = j-NUM-MATH, volume = "7", number = "3", pages = "251--254", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Gastinel:1965:PCE, author = "N. Gastinel", title = "Propri{\'e}t{\'e}s de certains ensembles normes de matrices. ({French}) [{Properties} of Certain Matrix Norm Ensembles]", journal = j-NUM-MATH, volume = "7", number = "3", pages = "255--260", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "French", } @Article{Timlake:1965:EP, author = "W. P. Timlake", title = "An extension of the ${\Sigma}^2$ procedure", journal = j-NUM-MATH, volume = "7", number = "3", pages = "261--268", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Businger:1965:LLS, author = "Peter A. Businger and Gene H. Golub", title = "Linear Least Squares Solutions by {Householder} Transformations", journal = j-NUM-MATH, volume = "7", number = "3", pages = "269--276", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65.20", MRnumber = "31\#862", bibdate = "Sun Jan 14 10:04:47 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/tex/bib/gvl.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 111--118]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "Householder transformation; lsq; nla; qrd; software", } @Article{Reimer:1965:FLD, author = "Manfred Reimer", title = "{Eine Fehlerabsch{\"a}tzung f{\"u}r lineare Differenzenverfahren}. ({German}) [{An} error bound for linear difference methods]", journal = j-NUM-MATH, volume = "7", number = "4", pages = "277--285", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Greenspan:1965:VSN, author = "H. Greenspan and W. Hafner and M. Ribaric", title = "On varying stepsize in numerical integration of first order differential equations", journal = j-NUM-MATH, volume = "7", number = "4", pages = "286--291", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Hayden:1965:CFA, author = "T. L. Hayden", title = "Continued fraction approximation to functions", journal = j-NUM-MATH, volume = "7", number = "4", pages = "292--309", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Nemeth:1965:CEF, author = "G. N{\'e}meth", title = "{Chebyshev} expansions for {Fresnel} integrals", journal = j-NUM-MATH, volume = "7", number = "4", pages = "310--312", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, citedby = "Fullerton:1980:BEM", fjournal = "Numerische Mathematik", remark = "Fullerton: Two series of 12-digit coefficients are given to cover the range $0 <= x < \infty.", } @Article{Klee:1965:CLP, author = "Victor Klee", title = "A class of linear programming problems requiring a large number of iterations", journal = j-NUM-MATH, volume = "7", number = "4", pages = "313--321", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Ralston:1965:RCA, author = "Anthony Ralston", title = "Rational {Chebyshev} approximation by {Remes}' algorithms", journal = j-NUM-MATH, volume = "7", number = "4", pages = "322--330", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bauer:1965:EPH, author = "F. L. Bauer", title = "An elementary proof of the {Hopf} inequality for positive operators", journal = j-NUM-MATH, volume = "7", number = "4", pages = "331--337", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bauer:1965:EWR, author = "F. L. Bauer", title = "Elimination with Weighted Row Combinations for Solving Linear Equations and Least Squares Problems", journal = j-NUM-MATH, volume = "7", number = "4", pages = "338--352", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 119--133]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "Gram--Schmidt algorithm; lsq; nla; software", } @Article{Bulirsch:1965:NCEb, author = "Roland Bulirsch", title = "Numerical calculation of elliptic integrals and elliptic functions. {II}", journal = j-NUM-MATH, volume = "7", number = "4", pages = "353--354", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Metropolis:1965:BAU, author = "N. Metropolis", title = "Berichtigung: {Algorithms in unnormalized arithmetic. I: Recurrence relations}", journal = j-NUM-MATH, volume = "7", number = "4", pages = "354--354", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed Jan 12 18:51:05 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Metropolis:1965:AUA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Martin:1965:SDPa, author = "R. S. Martin and J. H. Wilkinson", title = "Symmetric Decomposition of Positive Definite Band Matrices", journal = j-NUM-MATH, volume = "7", number = "5", pages = "355--361", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 50--56]{Wilkinson:1971:LA}.", fjournal = "Numerische Mathematik", keywords = "band matrix; lud; nla; software; symmetric matrix", } @Article{Martin:1965:SDPb, author = "R. S. Martin and G. Peters and J. H. Wilkinson", title = "Symmetric Decomposition of a Positive Definite Matrix", journal = j-NUM-MATH, volume = "7", number = "5", pages = "362--383", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 9--30]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "Cholesky decomposition; nla; software", } @Article{Barnhill:1965:CQR, author = "Robert E. Barnhill", title = "Complex quadratures with remainders of minimum norm", journal = j-NUM-MATH, volume = "7", number = "5", pages = "384--390", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Goldstein:1965:NM, author = "A. A. Goldstein", title = "On {Newton}'s method", journal = j-NUM-MATH, volume = "7", number = "5", pages = "391--393", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Roark:1965:PRW, author = "A. L. Roark and L. F. Shampine", title = "On paper of Roark and Wing", journal = j-NUM-MATH, volume = "7", number = "5", pages = "394--395", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Brosowski:1965:ELP, author = "Bruno Brosowski", title = "{{\"U}ber Extremalsignaturen linearer Polynome in $n$ Ver{\"a}nderlichen}. ({German}) [{On the extremal signature of linear polynomials in $n$ variables}]", journal = j-NUM-MATH, volume = "7", number = "5", pages = "396--405", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:47:32 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Smith:1965:QMB, author = "Francis J. Smith", title = "Quadrature methods based on the {Clenshaw--Curtis} method of integration", journal = j-NUM-MATH, volume = "7", number = "5", pages = "406--411", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Keller:1965:AFD, author = "Herbert B. Keller", title = "On the accuracy of finite difference approximations to the eigenvalues of differential and integral operators", journal = j-NUM-MATH, volume = "7", number = "5", pages = "412--419", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Shah:1965:ACF, author = "S. M. Shah and P. Suryanarayana", title = "Approximation of continuous functions by power series with polynomial coefficients", journal = j-NUM-MATH, volume = "7", number = "5", pages = "420--425", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Rice:1965:CPR, author = "John R. Rice", title = "On the Conditioning of Polynomial and Rational Forms", journal = j-NUM-MATH, volume = "7", number = "5", pages = "426--435", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 16 17:22:04 GMT 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Bulirsch:1966:NTO, author = "Roland Bulirsch and Josef Stoer", title = "Numerical treatment of ordinary differential equations by extrapolation methods", journal = j-NUM-MATH, volume = "8", number = "1", pages = "1--13", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Legras:1966:RNG, author = "J. Legras", title = "{R}{\'e}solution num{\'e}rique des grands syst{\`e}mes diff{\'e}rentiels lin{\'e}aires. ({French}) [{Numerical} Solution of Large Systems of Linear Differentials]", journal = j-NUM-MATH, volume = "8", number = "1", pages = "14--28", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "French", } @Article{Dejon:1966:STU, author = "B. Dejon", title = "Stronger than uniform convergence of multistep difference methods", journal = j-NUM-MATH, volume = "8", number = "1", pages = "29--41", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See addendum \cite{Dejon:1966:AST}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lehmann:1966:VOE, author = "N. J. Lehmann", title = "{Zur Verwendung optimaler Eigenwerteingrenzungen bei der L{\"o}sung symmetrischer Matrizenaufgaben}. ({German}) [{On} the Use of Optimal Eigenvalue Enclosure for the Solution of Symmetric Matrix Problems]", journal = j-NUM-MATH, volume = "8", number = "1", pages = "42--55", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Lieu:1966:MCE, author = "Bui Trong Li{\^e}{\"u} and P. Huard", title = "La m{\'e}thode des centres dans un espace topologique. ({French}) [{The} Method of Centers in a Topological Space]", journal = j-NUM-MATH, volume = "8", number = "1", pages = "56--67", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "French", } @Article{Schaefke:1966:VBC, author = "Friedrich W. Schaefke and Dieter Schmidt", title = "{Ein Verfahren zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung. III}. ({German}) [{A} Method for Computation of the Characteristic Exponent of {Mathieu}' Differential Equation. {III}]", journal = j-NUM-MATH, volume = "8", number = "1", pages = "68--71", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Mueller:1966:HMC, author = "Dennis J. Mueller", title = "{Householder}'s Method for Complex Matrices and {Hermitian} Matrices", journal = j-NUM-MATH, volume = "8", number = "1", pages = "72--92", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", fjournal = "Numerische Mathematik", keywords = "complex matrix; eig; nla; symmetric matrix", } @Article{Bulirsch:1966:AUL, author = "Roland Bulirsch and Josef Stoer", title = "Asymptotic upper and lower bounds for results of extrapolation methods", journal = j-NUM-MATH, volume = "8", number = "2", pages = "93--104", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Oct 18 13:02:03 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schmidt:1966:AEK, author = "Jochen W. Schmidt", title = "{Asymptotische Einschlie{\ss}ung bei konvergenzbeschleunigenden Verfahren}. ({German}) [{Asymptotic bounds for convergence accelerating methods}]", journal = j-NUM-MATH, volume = "8", number = "2", pages = "105--113", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Heap:1966:RMG, author = "B. R. Heap", title = "Random matrices and graphs", journal = j-NUM-MATH, volume = "8", number = "2", pages = "114--122", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Doring:1966:IIS, author = "Boro D{\"o}ring", title = "{Inverse Interpolation bei den speziellen Funktionen der mathematischen Physik}. ({German}) [{Inverse interpolation in the special functions of mathematical physics}]", journal = j-NUM-MATH, volume = "8", number = "2", pages = "123--136", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:48:28 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Gourlay:1966:ADM, author = "A. R. Gourlay and A. R. Mitchell", title = "Alternating direction methods for hyperbolic systems", journal = j-NUM-MATH, volume = "8", number = "2", pages = "137--149", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stenger:1966:BEG, author = "Frank Stenger", title = "Bounds on the error of {Gauss}-type quadratures", journal = j-NUM-MATH, volume = "8", number = "2", pages = "150--160", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Spijker:1966:CSS, author = "M. N. Spijker", title = "Convergence and stability of step-by-step methods for the numerical solution of initial-value problems", journal = j-NUM-MATH, volume = "8", number = "2", pages = "161--177", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Ansorge:1966:FVA, author = "Rainer Ansorge", title = "{Zur Frage der Verallgemeinerung des {\"A}quivalenzsatzes von Lax}. ({German}) [{On} the Question of Generalization of the {Lax} Equivalence Principles]", journal = j-NUM-MATH, volume = "8", number = "2", pages = "178--185", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Widlund:1966:SPD, author = "Olaf B. Widlund", title = "Stability of parabolic difference schemes in the maximum norm", journal = j-NUM-MATH, volume = "8", number = "2", pages = "186--202", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Martin:1966:IRS, author = "R. S. Martin and G. Peters and J. H. Wilkinson", title = "Iterative Refinement of the Solution of a Positive Definite System of Equations", journal = j-NUM-MATH, volume = "8", number = "3", pages = "203--216", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 31--44]{Wilkinson:1971:LA}.", fjournal = "Numerische Mathematik", keywords = "iterative refinement; linear system; nla; positive definite matrix; software", } @Article{Bowdler:1966:SRC, author = "H. J. Bowdler and R. S. Martin and G. Peters and J. H. Wilkinson", title = "Solution of Real and Complex Systems of Linear Equations", journal = j-NUM-MATH, volume = "8", number = "3", pages = "217--234", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 93--110]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "linear system; lud; nla; software", } @Article{Stetter:1966:NAF, author = "Hans J. Stetter", title = "Numerical approximation of {Fourier}-transforms", journal = j-NUM-MATH, volume = "8", number = "3", pages = "235--249", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lambert:1966:GMM, author = "John D. Lambert and Brian Shaw", title = "A generalisation of multistep methods for ordinary differential equations", journal = j-NUM-MATH, volume = "8", number = "3", pages = "250--263", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wynn:1966:USR, author = "P. Wynn", title = "Upon systems of recursions which obtain among the quotients of the {Pad{\'e}} table", journal = j-NUM-MATH, volume = "8", number = "3", pages = "264--269", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Guderley:1966:RTP, author = "Karl G. Guderley and Paul J. Nikolai", title = "Reduction of two-point boundary value problems in a vector space to initial value problems by projection", journal = j-NUM-MATH, volume = "8", number = "3", pages = "270--289", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Kerner:1966:GBN, author = "Immo O. Kerner", title = "{Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen}. ({German}) [{A} Complete Step Method for the Computation of Zeros of Polynomials]", journal = j-NUM-MATH, volume = "8", number = "3", pages = "290--294", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Barrodale:1966:ABL, author = "Ian Barrodale and Andrew Young", title = "Algorithms for best {$L_1$} and {$L_\infty$} linear approximations on a discrete set", journal = j-NUM-MATH, volume = "8", number = "3", pages = "295--306", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Broyden:1966:ASC, author = "C. G. Broyden and F. Ford", title = "An algorithm for the solution of certain kinds of linear equations", journal = j-NUM-MATH, volume = "8", number = "4", pages = "307--323", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Yamamoto:1966:CMD, author = "Tetsuro Yamamoto", title = "A computational method for the dominant root of a nonnegative irreducible matrix", journal = j-NUM-MATH, volume = "8", number = "4", pages = "324--333", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Hammerlin:1966:AQA, author = "G{\"u}nther H{\"a}mmerlin", title = "{Zur Absch{\"a}tzung von Quadraturfehlern f{\"u}r analytische Funktionen}. ({German}) [{On} Bounds for Quadrature Error for Analytic Funktions]", journal = j-NUM-MATH, volume = "8", number = "4", pages = "334--344", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Meinguet:1966:MER, author = "J. Meinguet", title = "Methods for estimating the remainder in linear rules of approximation. {Application} to the {Romberg} algorithm", journal = j-NUM-MATH, volume = "8", number = "4", pages = "345--366", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 16:10:24 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Gourlay:1966:SID, author = "A. R. Gourlay and A. R. Mitchell", title = "A stable implicit difference method for hyperbolic systems in two space variables", journal = j-NUM-MATH, volume = "8", number = "4", pages = "367--375", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Pereyra:1966:IAS, author = "Victor Pereyra", title = "On improving an approximate solution of a functional equation by deferred corrections", journal = j-NUM-MATH, volume = "8", number = "4", pages = "376--391", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Gorenflo:1966:SAT, author = "Rudolf Gorenflo and Yehudith Kovetz", title = "Solution of an {Abel}-type integral equation in the presence of noise by quadratic programming", journal = j-NUM-MATH, volume = "8", number = "4", pages = "392--406", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Rudert:1966:UPL, author = "W. S. Rudert and H. G. Lill", title = "{{\"U}ber Partitionen und ein lineares diophantisches Problem}. ({German}) [{On} partitions and a linear {Diophantine} problem]", journal = j-NUM-MATH, volume = "8", number = "5", pages = "407--411", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Feb 22 18:39:08 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Ponstein:1966:SCE, author = "J. Ponstein", title = "Splitting certain eigenvalue/eigenvector problems", journal = j-NUM-MATH, volume = "8", number = "5", pages = "412--421", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Clendenin:1966:MNC, author = "W. W. Clendenin", title = "A method for numerical calculation of {Fourier} integrals", journal = j-NUM-MATH, volume = "8", number = "5", pages = "422--436", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Porsching:1966:DST, author = "T. A. Porsching", title = "Diagonal similarity transformations which isolate {Gerschgorin} disks", journal = j-NUM-MATH, volume = "8", number = "5", pages = "437--443", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Ninham:1966:GFD, author = "B. W. Ninham", title = "Generalised functions and divergent integrals", journal = j-NUM-MATH, volume = "8", number = "5", pages = "444--457", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lyness:1966:VMS, author = "J. N. Lyness and C. B. Moler", title = "{Van der Monde} Systems and Numerical Differentiation", journal = j-NUM-MATH, volume = "8", number = "5", pages = "458--464", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Gragg:1966:TK, author = "W. B. Gragg and A. S. Householder", title = "On a Theorem of {K{\"o}nig}", journal = j-NUM-MATH, volume = "8", number = "5", pages = "465--468", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", keywords = "Koenig's theorem; nlop", } @Article{Rutishauser:1966:JMR, author = "H. Rutishauser", title = "The {Jacobi} method for real symmetric matrices", journal = j-NUM-MATH, volume = "9", number = "1", pages = "1--10", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Also in \cite[pp. 202--211]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Kempen:1966:CCJ, author = "H. P. M. van Kempen", title = "On the convergence of the classical {Jacobi} method for real symmetric matrices with non-distinct eigenvalues", journal = j-NUM-MATH, volume = "9", number = "1", pages = "11--18", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Kempen:1966:QCS, author = "H. P. M. van Kempen", title = "On the quadratic convergence of the special cyclic {Jacobi} method", journal = j-NUM-MATH, volume = "9", number = "1", pages = "19--22", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Rall:1966:CNP, author = "L. B. Rall", title = "Convergence of the {Newton} process to multiple solutions", journal = j-NUM-MATH, volume = "9", number = "1", pages = "23--37", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stroud:1966:SAI, author = "A. H. Stroud", title = "Some approximative integration formulas of degree $3$ for an $n$-dimensional simplex", journal = j-NUM-MATH, volume = "9", number = "1", pages = "38--45", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Householder:1966:STN, author = "A. S. Householder", title = "Separation theorems for normalizable matrices", journal = j-NUM-MATH, volume = "9", number = "1", pages = "46--50", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Buchanan:1966:UCM, author = "M. L. Buchanan and B. N. Parlett", title = "The uniform convergence of matrix powers", journal = j-NUM-MATH, volume = "9", number = "1", pages = "51--54", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lancaster:1966:EAN, author = "P. Lancaster", title = "Error analysis for the {Newton--Raphson} method", journal = j-NUM-MATH, volume = "9", number = "1", pages = "55--68", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Nickel:1966:UNF, author = "Karl Nickel", title = "{{\"U}ber die Notwendigkeit einer Fehlerschranken-Arithmetik f{\"u}r Rechenautomaten}. ({German}) [{On} the Need for Interval Arithmetic on Computers]", journal = j-NUM-MATH, volume = "9", number = "1", pages = "69--79", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Nickel:1966:NBW, author = "Karl Nickel", title = "{Die numerische Berechnung der Wurzeln eines Polynoms}. ({German}) [{The} Numerical Computation of Polynomial Roots]", journal = j-NUM-MATH, volume = "9", number = "1", pages = "80--98", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Daniel:1966:CAM, author = "James W. Daniel", title = "Correcting approximations to multiple roots of polynomials", journal = j-NUM-MATH, volume = "9", number = "1", pages = "99--102", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Rutishauser:1966:BEO, author = "H. Rutishauser", title = "{Bestimmung der Eigenwerte orthogonaler Matrizen}. ({German}) [{Determination of the Eigenvalues of Orthogonal Matrices}]", journal = j-NUM-MATH, volume = "9", number = "2", pages = "104--108", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Fiedler:1966:MI, author = "Miroslav Fiedler", title = "Matrix inequalities", journal = j-NUM-MATH, volume = "9", number = "2", pages = "109--119", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Henrici:1966:TEE, author = "Peter Henrici and Pia Pfl{\"u}ger", title = "Truncation error estimates for {Stieltjes} fractions", journal = j-NUM-MATH, volume = "9", number = "2", pages = "120--138", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Golub:1966:NIR, author = "G. H. Golub and J. H. Wilkinson", title = "Note on the Iterative Refinement of Least Squares Solution", journal = j-NUM-MATH, volume = "9", number = "2", pages = "139--148", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65.20", MRnumber = "35 \#3849", MRreviewer = "W. J. Kotz{\'e}", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/tex/bib/gvl.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "condition; iterative refinement; la; lsq; nla; pert", } @Article{Schroder:1966:OUI, author = "Johann Schr{\"o}der", title = "{Operator-Ungleichungen und ihre numerische Anwendung bei Randwertaufgaben}. ({German}) [{Operator inequalities and their numerical use in boundary value problems}]", journal = j-NUM-MATH, volume = "9", number = "2", pages = "149--162", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:48:34 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Fiedler:1966:SGP, author = "Miroslav Fiedler and Vlastimil Pt{\'a}k", title = "Some generalizations of positive definiteness and monotonicity", journal = j-NUM-MATH, volume = "9", number = "2", pages = "163--172", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bauer:1966:ISR, author = "F. L. Bauer", title = "Inclusion sets for roots of polynomials", journal = j-NUM-MATH, volume = "9", number = "2", pages = "173--176", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Cody:1966:RCA, author = "W. J. Cody and J. Stoer", title = "Rational {Chebyshev} approximations using interpolation", journal = j-NUM-MATH, volume = "9", number = "3", pages = "177--188", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Cody:1968:CRC}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Robert:1966:RMP, author = "F. Robert", title = "Recherche d'une {$M$}-matrice parmi les minorantes d'un op{\'e}rateur lin{\'e}aire. ({French}) [{Search} for an {$M$}-Matrix among the Minorants of a Linear Operator]", journal = j-NUM-MATH, volume = "9", number = "3", pages = "189--199", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "French", } @Article{Stenger:1966:EBE, author = "Frank Stenger", title = "Error bounds for the evaluation of integrals by repeated {Gauss}-type formulae", journal = j-NUM-MATH, volume = "9", number = "3", pages = "200--213", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Penkov:1966:HMA, author = "B. Penkov and Bl. Sendov", title = "{Hausdorffsche Metrik und Approximationen}. ({German}) [{Hausdorff} Metric and Approximations]", journal = j-NUM-MATH, volume = "9", number = "3", pages = "214--226", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Klee:1966:CPD, author = "Victor Klee", title = "A comparison of primal and dual methods of linear programming", journal = j-NUM-MATH, volume = "9", number = "3", pages = "227--235", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bramble:1966:SOF, author = "James H. Bramble", title = "A second order finite difference analog of the first biharmonic boundary value problem", journal = j-NUM-MATH, volume = "9", number = "3", pages = "236--249", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Symm:1966:IEM, author = "George T. Symm", title = "An integral equation method in conformal mapping", journal = j-NUM-MATH, volume = "9", number = "3", pages = "250--258", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bradbury:1966:NIM, author = "W. W. Bradbury and R. Fletcher", title = "New Iterative Methods for Solution of the Eigenproblem", journal = j-NUM-MATH, volume = "9", number = "3", pages = "259--267", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "conjugate gradients; eig; nla; sparse", } @Article{Dejon:1966:AST, author = "B. Dejon", title = "Addendum to {``stronger than uniform convergence of multistep difference methods''}", journal = j-NUM-MATH, volume = "9", number = "3", pages = "268--270", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Dejon:1966:STU}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bulirsch:1967:NQE, author = "Roland Bulirsch and Josef Stoer", title = "Numerical quadrature by extrapolation", journal = j-NUM-MATH, volume = "9", number = "4", pages = "271--278", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Numerical Integration", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Martin:1967:SSU, author = "R. S. Martin and J. H. Wilkinson", title = "Solution of Symmetric and Unsymmetric Band Equations and the Calculation of Eigenvectors of Band Matrices", journal = j-NUM-MATH, volume = "9", number = "4", pages = "279--301", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 70--92]{Wilkinson:1971:LA}.", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "band matrix; eig; linear system; nla; software", } @Article{Hofmann:1967:AED, author = "Peter Hofmann", title = "Asymptotic expansions of the discretization error of boundary value problems of the {Laplace} equation in rectangular domains", journal = j-NUM-MATH, volume = "9", number = "4", pages = "302--322", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Oliver:1967:REP, author = "J. Oliver", title = "Relative error propagation in the recursive solution of linear recurrence relations", journal = j-NUM-MATH, volume = "9", number = "4", pages = "323--340", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Urabe:1967:NSM, author = "Minoru Urabe", title = "Numerical solution of multi-point boundary value problems in {Chebyshev} series. Theory of the method", journal = j-NUM-MATH, volume = "9", number = "4", pages = "341--366", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Shaw:1967:SMF, author = "B. Shaw", title = "Some multistep formulae for special high order ordinary differential equations", journal = j-NUM-MATH, volume = "9", number = "4", pages = "367--378", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Sauer:1967:AWE, author = "R. Sauer", title = "{Alwin Watther em. ord. Professor an der Technischen Hochschule Darmstadt}", journal = j-NUM-MATH, volume = "9", number = "4", pages = "379--379", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed Jan 12 19:06:22 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bulirsch:1967:NCS, author = "Roland Bulirsch", title = "Numerical calculation of the sine, cosine and {Fresnel} integrals", journal = j-NUM-MATH, volume = "9", number = "5", pages = "380--385", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Special Functions", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Barth:1967:CES, author = "R. S. Martin and W. Barth and J. H. Wilkinson", title = "Calculation of the Eigenvalues of a Symmetric Tridiagonal matrix by the Method of Bisection", journal = j-NUM-MATH, volume = "9", number = "5", pages = "386--393", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 249--256]{Wilkinson:1971:LA}.", series = "Handbook Series Linear Algebra", fjournal = "Numerische Mathematik", keywords = "eig; nla; software; Sturm sequence; symmetric matrix; tridiagonal matrix", } @Article{Ciarlet:1967:NMH, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {I}: {One} dimensional problem", journal = j-NUM-MATH, volume = "9", number = "5", pages = "394--430", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See birthday greetings \cite{Ciarlet:1998:ERV}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Merzrath:1967:DSP, author = "Ernst Merzrath", title = "Direct solution of partial difference equations", journal = j-NUM-MATH, volume = "9", number = "5", pages = "431--436", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Redheffer:1967:BUD, author = "R. M. Redheffer", title = "{Bemerkungen {\"u}ber Differentialungleichungen bei abz{\"a}hlbaren Ausnahmemengen}. ({German}) [{Remark} on Differential Equations for Countable Sets]", journal = j-NUM-MATH, volume = "9", number = "5", pages = "437--445", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Hodgkins:1967:RBD, author = "W. R. Hodgkins", title = "On the relation between dynamic relaxation and semi-iterative matrix methods", journal = j-NUM-MATH, volume = "9", number = "5", pages = "446--451", month = apr, year = "1967", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162158", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:46:27 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Gaier:1967:RCO, author = "Dieter Gaier and John Todd", title = "On the rate of convergence of optimal {ADI} processes", journal = j-NUM-MATH, volume = "9", number = "5", pages = "452--459", month = apr, year = "1967", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162159", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:46:27 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stroud:1967:SFD, author = "A. H. Stroud", title = "Some fifth degree integration formulas for symmetric regions {II}", journal = j-NUM-MATH, volume = "9", number = "5", pages = "460--468", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:46:27 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Metropolis:1967:SSN, author = "N. Metropolis and M. L. Stein and P. R. Stein", title = "Stable states of a non-linear transformation", journal = j-NUM-MATH, volume = "10", number = "1", pages = "1--19", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Eisen:1967:ESC, author = "Dennis Eisen", title = "The equivalence of stability and convergence for finite difference schemes with singular coefficients", journal = j-NUM-MATH, volume = "10", number = "1", pages = "20--29", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Gries:1967:CCC, author = "David Gries", title = "Characterizations of certain classes of norms", journal = j-NUM-MATH, volume = "10", number = "1", pages = "30--41", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schmidt:1967:FPF, author = "Jochen W. Schmidt and Hartmut Dressel", title = "{Fehlerabsch{\"a}tzungen bei Polynomgleichungen mit dem Fixpunktsatz von Brouwer}. ({German}) [{Error estimates by polynomial equations with Brouwer's fixed point estimate}]", journal = j-NUM-MATH, volume = "10", number = "1", pages = "42--50", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:51:30 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Brosowski:1967:ERT, author = "Bruno Brosowski and Henry L. Loeb", title = "{Zur Eindeutigkeit der rationalen Tschebyscheff-Approximation an stetig differenzierbare Funktionen}. ({German}) [{On} the uniqueness of rational {Chebyshev} approximation of continuous differentiable functions]", journal = j-NUM-MATH, volume = "10", number = "1", pages = "51--55", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Fairweather:1967:SHA, author = "G. Fairweather and A. R. Gourlay and A. R. Mitchell", title = "Some high accuracy difference with a splitting operator for equations of parabolic and elliptic type", journal = j-NUM-MATH, volume = "10", number = "1", pages = "56--66", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Keast:1967:FDS, author = "P. Keast and A. R. Mitchell", title = "Finite difference solution of the third boundary problem in elliptic and parabolic equations", journal = j-NUM-MATH, volume = "10", number = "1", pages = "67--75", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Osborne:1967:NSP, author = "M. R. Osborne", title = "The numerical solution of a periodic parabolic problem subject to a nonlinear boundary condition", journal = j-NUM-MATH, volume = "10", number = "1", pages = "76--79", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Walter:1967:BIL, author = "Wolfgang Walter", title = "{Bemerkungen zu Iterationsverfahren bei linearen Gleichungssystemen}. ({German}) [{Remark} on Iteration Method for Linear Equation Systems]", journal = j-NUM-MATH, volume = "10", number = "1", pages = "80--85", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Pyle:1967:GIA, author = "L. Duane Pyle", title = "A generalized inverse $\epsilon$-algorithm for constructing intersection projection matrices, with applications", journal = j-NUM-MATH, volume = "10", number = "1", pages = "86--102", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Mehndiratta:1967:SSD, author = "S. L. Mehndiratta", title = "Symmetry and self-duality in nonlinear programming", journal = j-NUM-MATH, volume = "10", number = "2", pages = "103--109", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Tsuda:1967:MKP, author = "Takao Tsuda and Kozo Ichida and Takeshi Kiyono", title = "{Monte Carlo} path-integral calculations for two-point boundary-value problems", journal = j-NUM-MATH, volume = "10", number = "2", pages = "110--116", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Atkinson:1967:SNU, author = "Kendall E. Atkinson", title = "The solution of non-unique linear integral equations", journal = j-NUM-MATH, volume = "10", number = "2", pages = "117--124", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 16:10:24 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Daniel:1967:CCG, author = "James W. Daniel", title = "Convergence of the Conjugate Gradient Method with Computationally Convenient Modifications", journal = j-NUM-MATH, volume = "10", number = "2", pages = "125--131", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Maitre:1967:NCN, author = "Jean-Fran{\c{c}}ois Maitre", title = "Norme compos{\'e}e et norme associ{\'e}e g{\'e}n{\'e}ralis{\'e}e d'une matrice. ({French}) [{Composed} and Associative Generalized Matrix Norm]", journal = j-NUM-MATH, volume = "10", number = "2", pages = "132--141", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "French", } @Article{Loizou:1967:BIW, author = "G. Loizou", title = "Bounds for the inequality of {Wielandt}", journal = j-NUM-MATH, volume = "10", number = "2", pages = "142--146", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Dunham:1967:TRC, author = "Charles B. Dunham", title = "Transformed rational {Chebyshev} approximation", journal = j-NUM-MATH, volume = "10", number = "2", pages = "147--152", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Elsner:1967:RBM, author = "L. Elsner and R. M. Redheffer", title = "Remarks on band matrices", journal = j-NUM-MATH, volume = "10", number = "2", pages = "153--161", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Parlett:1967:CCQ, author = "Beresford Parlett", title = "Correction to convergence of the {QR} algorithm", journal = j-NUM-MATH, volume = "10", number = "2", pages = "163--164", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Cryer:1967:CLE, author = "C. W. Cryer", title = "On the calculation of the largest eigenvalue of an integral equation", journal = j-NUM-MATH, volume = "10", number = "2", pages = "165--176", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Reinsch:1967:SSF, author = "Christian H. Reinsch", title = "Smoothing by spline functions", journal = j-NUM-MATH, volume = "10", number = "3", pages = "177--183", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Goldstein:1967:EAM, author = "A. A. Goldstein and J. F. Price", title = "An effective algorithm for minimization", journal = j-NUM-MATH, volume = "10", number = "3", pages = "184--189", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Laurent:1967:TCM, author = "P. J. Laurent", title = "Th{\'e}or{\`e}mes de caract{\'e}risation d'une meilleure approximation dans un espace norme et g{\'e}n{\'e}ralisation de l'algorithme de {Remes}. ({French}) [{Theorems} for Characterizing the Best Approximation in a Normed Space and Generalization of the {Remes} Algorithm]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "190--208", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "French", } @Article{Ansorge:1967:KML, author = "Rainer Ansorge", title = "{Konvergenz von Mehrschrittverfahren zur L{\"o}sung halblinearer Anfangswertaufgaben}. ({German}) [{Convergence} of a multistep method for solution of half-linear initial-value problems]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "209--219", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Fri Feb 23 06:39:53 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Bohl:1967:NAH, author = "Erich Bohl", title = "{Nichtlineare Aufgaben in halbgeordneten R{\"a}umen}. ({German}) [{Nonlinear} problems in half-ordered spaces]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "220--231", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Feb 22 18:40:20 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Smith:1967:CNM, author = "R. A. Smith", title = "The condition numbers of the matrix eigenvalue problem", journal = j-NUM-MATH, volume = "10", number = "3", pages = "232--240", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Kadner:1967:NBI, author = "Horst Kadner", title = "{Die numerische Behandlung von Integralgleichungen nach der Kollokationsmethode}. ({German}) [{The} numerical treatment of integral equations in the collocation method]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "241--260", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Lehmann:1967:FND, author = "N. J. Lehmann", title = "{Fehlerschranken f{\"u}r N{\"a}herungsl{\"o}sungen bei Differentialgleichungen}. ({German}) [{Error} bounds for approximate solutions of differential equations]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "261--288", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Feb 22 18:41:56 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Werner:1967:RCA, author = "H. Werner and J. Stoer and W. Bommas", title = "Rational {Chebyshev} approximation", journal = j-NUM-MATH, volume = "10", number = "4", pages = "289--306", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Cooper:1967:SSM, author = "G. J. Cooper and E. Gal", title = "Single step methods for linear differential equations", journal = j-NUM-MATH, volume = "10", number = "4", pages = "307--315", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Pereyra:1967:IDC, author = "Victor Pereyra", title = "Iterated deferred corrections for nonlinear operator equations", journal = j-NUM-MATH, volume = "10", number = "4", pages = "316--323", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Ryan:1967:SMC, author = "Joseph T. Ryan", title = "A sieve method for classifying composite numbers", journal = j-NUM-MATH, volume = "10", number = "4", pages = "324--326", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{McNamee:1967:CFS, author = "J. McNamee and F. Stenger", title = "Construction of fully symmetric numerical integration formulas", journal = j-NUM-MATH, volume = "10", number = "4", pages = "327--344", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schultz:1967:S, author = "M. H. Schultz and R. S. Varga", title = "{L}-splines", journal = j-NUM-MATH, volume = "10", number = "4", pages = "345--369", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Meinguet:1967:OAE, author = "J. Meinguet", title = "Optimal approximation and error bounds in seminormed spaces", journal = j-NUM-MATH, volume = "10", number = "4", pages = "370--388", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Miller:1967:PBO, author = "John J. H. Miller", title = "On power-bounded operators and operators satisfying a resolvent condition", journal = j-NUM-MATH, volume = "10", number = "5", pages = "389--396", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Eisen:1967:NS, author = "Dennis Eisen", title = "{On the numerical solution of $u_t = u\sb{rr} +{2\over r} u_r$}", journal = j-NUM-MATH, volume = "10", number = "5", pages = "397--409", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Forster:1967:EFG, author = "Peter F{\"o}rster", title = "{Existenzaussagen und Fehlerabsch{\"a}tzungen bei gewissen nichtlinearen Randwertaufgaben mit gew{\"o}hnlichen Differentialgleichungen}. ({German}) [{Existence statement and error bounds for certain nonlinear boundary value problems with ordinary differential equations}]", journal = j-NUM-MATH, volume = "10", number = "5", pages = "410--422", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162874", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:53:27 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Stoss:1967:VBC, author = "Hanns-J{\"o}rg Stoss", title = "{Ein Verfahren zur Berechnung des charakteristischen Exponenten der Differentialgleichung $y'' + (\lambda + 2\lambda1cos\chi + 2\lambda 2 cos 2\chi) y = 0$}. ({German}) [{A} procedure for the computation of the characteristic exponent of the differential equation $y'' + (\lambda + 2\lambda1cos\chi + 2\lambda 2 cos 2\chi) y = 0$]", journal = j-NUM-MATH, volume = "10", number = "5", pages = "423--436", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162875", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:53:27 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Symm:1967:NME, author = "George T. Symm", title = "Numerical mapping of exterior domains", journal = j-NUM-MATH, volume = "10", number = "5", pages = "437--445", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162876", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:53:27 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Dixon:1967:HSC, author = "John D. Dixon", title = "High speed computation of group characters", journal = j-NUM-MATH, volume = "10", number = "5", pages = "446--450", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162877", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:53:27 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Menzel:1967:AUA, author = "M. Menzel and N. Metropolis", title = "Algorithms in unnormalized arithmetic {II}. Unrestricted polynomial evaluation", journal = j-NUM-MATH, volume = "10", number = "5", pages = "451--462", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162878", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:53:27 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Eberlein:1968:SEN, author = "P. J. Eberlein and J. Boothroyd", title = "Solution to the Eigenproblem by a Norm Reducing {Jacobi} Type Method", journal = j-NUM-MATH, volume = "11", number = "1", pages = "1--12", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 327--338]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "eig; Jacobi-like; nla; nonsymmetric matrix; software", } @Article{McAllister:1968:PBD, author = "G. T. McAllister", title = "A priori bounds on difference quotients of solutions to some linear uniformly elliptic difference equations", journal = j-NUM-MATH, volume = "11", number = "1", pages = "13--37", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Anselone:1968:SCV, author = "P. M. Anselone and L. B. Rall", title = "The solution of characteristic value-vector problems by {Newton}'s method", journal = j-NUM-MATH, volume = "11", number = "1", pages = "38--45", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Heller:1968:UPC, author = "Sidney Heller", title = "On the uniform positivity of a certain finite difference matrix", journal = j-NUM-MATH, volume = "11", number = "1", pages = "46--52", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schmidt:1968:AEK, author = "Jochen W. Schmidt", title = "{Asymptotische Einschlie{\ss}ung bei konvergenzbeschleunigenden Verfahren. II}. ({German}) [{Asymptotic enclosure with convergence acceleration method. II}]", journal = j-NUM-MATH, volume = "11", number = "1", pages = "53--56", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Forsythe:1968:ADD, author = "George E. Forsythe", title = "On the asymptotic directions of the $s$-dimensional optimum gradient method", journal = j-NUM-MATH, volume = "11", number = "1", pages = "57--76", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lynn:1968:NSS, author = "M. Stuart Lynn and William P. Timlake", title = "The numerical solution of singular integral equations of potential theory", journal = j-NUM-MATH, volume = "11", number = "1", pages = "77--98", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Martin:1968:RSE, author = "R. S. Martin and J. H. Wilkinson", title = "Reduction of the Symmetric Eigenproblem {$Ax = \lambda Bx$} and Related Problems to Standard Form", journal = j-NUM-MATH, volume = "11", number = "2", pages = "99--110", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 303--314]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "geig; nla; software; symmetric matrix", } @Article{Pereyra:1968:IDC, author = "Victor Pereyra", title = "Iterated deferred corrections for nonlinear boundary value problems", journal = j-NUM-MATH, volume = "11", number = "2", pages = "111--125", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Householder:1968:MCR, author = "A. S. Householder", title = "Moments and characteristic roots. {II}", journal = j-NUM-MATH, volume = "11", number = "2", pages = "126--128", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", fjournal = "Numerische Mathematik", keywords = "eig; la; pert", } @Article{Bittner:1968:AVH, author = "L. Bittner", title = "{Absch{\"a}tzungen bei Variationsmethoden mit Hilfe von Dualit{\"a}tss{\"a}tzen. I}. ({German}) [{Bounds} of the Variational Method with the Aid of the Duality Principle. {I}]", journal = j-NUM-MATH, volume = "11", number = "2", pages = "129--143", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Mueller:1968:ELA, author = "Heinrich N. M{\"u}ller", title = "{Zur Eindeutigkeit bei der linearen Approximation im allgemeinen sowie Tschebyscheffschen Fall}. ({German}) [{On} the Uniqueness of the Linear Approximation in General as Well as {Chebyshev} Cases]", journal = j-NUM-MATH, volume = "11", number = "2", pages = "144--150", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Werner:1968:NSS, author = "Wolfgang Werner", title = "Numerical solution of systems of quasilinear hyperbolic differential equations by means of the method of nebencharacteristics in combination with extrapolation methods", journal = j-NUM-MATH, volume = "11", number = "2", pages = "151--169", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Kempfert:1968:SDR, author = "H. Kempfert", title = "On sign determinations in real algebraic number fields", journal = j-NUM-MATH, volume = "11", number = "2", pages = "170--174", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Apostolatos:1968:ALT, author = "N. Apostolatos and U. Kulisch and R. Krawczyk and B. Lortz and K. Nickel and H. W. Wippermann", title = "The algorithmic language {Triplex-ALGOL 60}", journal = j-NUM-MATH, volume = "11", number = "2", pages = "175--180", month = feb, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02165313", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "From the first page: ``triplex numbers, previously called Fehlerschrankenzahlen by K. Nickel and interval numbers by R. E. Moore. \ldots{} Triplex numbers are intervals with a main value enclosed, which corresponds to conventional numbers of {\bf real} type. The first number following $[$ is the lower bound of the interval associated with a triplex number, the next number is the previous mentioned main value, and the last number followed by $]$ is the upper bound of the interval. The following relation has to be fulfilled: $\mbox{lower bound} \leq \mbox{main value} \leq \mbox{upper bound}$.''.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Martin:1968:HTS, author = "R. S. Martin and C. Reinsch and J. H. Wilkinson", title = "{Householder}'s tridiagonalization of a symmetric matrix", journal = j-NUM-MATH, volume = "11", number = "3", pages = "181--195", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 212--226]{Wilkinson:1971:LA}.", fjournal = "Numerische Mathematik", keywords = "eig; Householder transformation; nla; software; symmetric matrix; tridiagonal matrix", } @Article{Thomee:1968:EDE, author = "Vidar Thom{\'e}e and Bertil Westergren", title = "Elliptic difference equations and interior regularity", journal = j-NUM-MATH, volume = "11", number = "3", pages = "196--210", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Yamamoto:1968:ECO, author = "Tetsuro Yamamoto", title = "On the eigenvalues of compact operators in a {Hilbert} space", journal = j-NUM-MATH, volume = "11", number = "3", pages = "211--219", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Krabs:1968:LOH, author = "Werner Krabs", title = "{Lineare Optimierung in halbgeordneten Vektorr{\"a}umen}. ({German}) [{Linear} Optimization in Half-Ordered Vector Spaces]", journal = j-NUM-MATH, volume = "11", number = "3", pages = "220--231", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Birkhoff:1968:PHI, author = "G. Birkhoff and M. H. Schultz and R. S. Varga", title = "Piecewise {Hermite} interpolation in one and two variables with applications to partial differential equations", journal = j-NUM-MATH, volume = "11", number = "3", pages = "232--256", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{DeMeersman:1968:MG, author = "R. {De Meersman}", title = "The method of {Garabedian}", journal = j-NUM-MATH, volume = "11", number = "3", pages = "257--263", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Reinsch:1968:RTN, author = "C. Reinsch and F. L. Bauer", title = "Rational {$QR$} Transformation with {Newton} Shift for Symmetric Tridiagonal Matrices", journal = j-NUM-MATH, volume = "11", number = "3", pages = "264--272", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 257--272]{Wilkinson:1971:LA}.", fjournal = "Numerische Mathematik", keywords = "eig; nla; QR algorithm; software; symmetric matrix; tridiagonal Matrix", } @Article{Stroud:1968:SSD, author = "A. H. Stroud", title = "Some seventh degree integration formulas for the surface of an $n$-sphere", journal = j-NUM-MATH, volume = "11", number = "3", pages = "273--276", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Felsch:1968:UPB, author = "V. Felsch and J. Neub{\"u}ser", title = "{{\"U}ber ein Programm zu Berechnung der Automorphismengruppe einer endlichen Gruppe}. ({German}) [{On} a Program for Computation of the Automorphism Group of a Finite Group]", journal = j-NUM-MATH, volume = "11", number = "3", pages = "277--292", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Bowdler:1968:ASM, author = "Hilary J. Bowdler and R. S. Martin and C. Reinsch and J. H. Wilkinson", title = "The {$QR$} and {$QL$} Algorithms for Symmetric Matrices", journal = j-NUM-MATH, volume = "11", number = "4", pages = "293--306", month = may, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02166681", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 227--240]{Wilkinson:1971:LA}.", fjournal = "Numerische Mathematik", keywords = "eig; nla; QR algorithm; software; symmetric matrix", } @Article{Kschwendt:1968:CLM, author = "H. Kschwendt", title = "Convergence limits in the {Monte Carlo} theory of integral equations", journal = j-NUM-MATH, volume = "11", number = "4", pages = "307--314", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Polya:1968:GME, author = "George P{\'o}lya", title = "{Graeffe}'s method for eigenvalues", journal = j-NUM-MATH, volume = "11", number = "4", pages = "315--319", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Medley:1968:SIGa, author = "Helen I. Medley and Richard S. Varga", title = "On Smallest Isolated {Gerschgorin} Disks for Eigenvalues. {II}", journal = j-NUM-MATH, volume = "11", number = "4", pages = "320--323", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Dennis:1968:NLM, author = "J. E. {Dennis, Jr.}", title = "On {Newton}-like methods", journal = j-NUM-MATH, volume = "11", number = "4", pages = "324--330", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Ciarlet:1968:NMHa, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {II}: Nonlinear boundary conditions", journal = j-NUM-MATH, volume = "11", number = "4", pages = "331--345", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Nitsche:1968:KQO, author = "Joachim A. Nitsche", title = "{Ein Kriterium f{\"u}r die Quasi-Optimalit{\"a}t des Titzschen Verfahrens}. ({German}) [{A} Criterion for the Quasi-Optimality of {Titzche} Methods]", journal = j-NUM-MATH, volume = "11", number = "4", pages = "346--348", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Oliver:1968:NSL, author = "J. Oliver", title = "The numerical solution of linear recurrence relations", journal = j-NUM-MATH, volume = "11", number = "4", pages = "349--360", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Medley:1968:SIGb, author = "Helen I. Medley and Richard S. Varga", title = "On Smallest Isolated {Gerschgorin} Disks for Eigenvalues. {III}", journal = j-NUM-MATH, volume = "11", number = "5", pages = "361--369", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02161884", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "eig; Gerschgorin's theorem; la", } @Article{Gragg:1968:TEB, author = "William B. Gragg", title = "Truncation error bounds for $g$-fractions", journal = j-NUM-MATH, volume = "11", number = "5", pages = "370--379", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02161885", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wendland:1968:BRI, author = "Wolfgang Wendland", title = "{Die Behandlung von Randwertaufgaben im $R_3$ mit Hilfe von Einfach- und Doppelschichtpotentialen}. ({German}) [{The} treatment of boundary-value problems in ${R}_3$ by simple and double blocking layer potentials]", journal = j-NUM-MATH, volume = "11", number = "5", pages = "380--404", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02161886", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:10:03 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Bode:1968:MUS, author = "Albert Bode", title = "{Matrizielle untere Schranken linearer Abbildungen und $M$-Matrizen}. ({German}) [{Matrix} lower bounds of linear transformations and ${M}$ Matrices]", journal = j-NUM-MATH, volume = "11", number = "5", pages = "", month = jun, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:10:03 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Wood:1968:ENM, author = "W. L. Wood", title = "On an explicit numerical method for solving the biharmonic equation", journal = j-NUM-MATH, volume = "11", number = "5", pages = "413--426", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02161888", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:10:03 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Jeggle:1968:DKF, author = "Hansgeorg Jeggle", title = "{Zur Diskretisierung einer Klasse Fredholmscher Integralgleichungen mit singul{\~a}rem Wert der Ordnung $1$}. ({German}) [On the discretisation of a class of {Fredholm} integral equations with singular values of order $1$]", journal = j-NUM-MATH, volume = "11", number = "5", pages = "427--443", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02161889", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:10:03 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Kulisch:1968:RZM, author = "U. Kulisch", title = "{{\"U}ber regul{\"a}re Zerlegungen von Matrizen und einige Anwendungen}. ({German}) [{On} Regular Dismantlings of Stencils and Some Applications]", journal = j-NUM-MATH, volume = "11", number = "5", pages = "444--449", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02161890", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:10:03 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Eckhardt:1968:EEW, author = "Ulrich Eckhardt", title = "{Einige Eigenschaften Wilfscher Quadraturformeln}. ({German}) [{Some} Eigenvalues of the {Wilf} Quadrature Formula]", journal = j-NUM-MATH, volume = "12", number = "1", pages = "1--7", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Dunham:1968:TRC, author = "Charles B. Dunham", title = "Transformed rational {Chebyshev} approximation. {II}", journal = j-NUM-MATH, volume = "12", number = "1", pages = "8--10", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Watt:1968:CCS, author = "J. M. Watt", title = "Consistency, Convergence and Stability of General Discretizations of the Initial Value Problem", journal = j-NUM-MATH, volume = "12", number = "1", pages = "11--22", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Moore:1968:ANO, author = "Robert H. Moore", title = "Approximations to nonlinear operator equations and {Newton}'s method", journal = j-NUM-MATH, volume = "12", number = "1", pages = "23--34", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Hadeler:1968:NVI, author = "K. P. Hadeler", title = "{Newton-Verfahren f{\"u}r inverse Eigenwertaufgaben}. ({German}) [{Newton} Method for Inverse Eigenvalue Problems]", journal = j-NUM-MATH, volume = "12", number = "1", pages = "35--39", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Pomentale:1968:DRL, author = "Tomaso Pomentale", title = "On discrete rational least squares approximation", journal = j-NUM-MATH, volume = "12", number = "1", pages = "40--46", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Broyden:1968:SAC, author = "C. G. Broyden", title = "Some aspects of consistent ordering", journal = j-NUM-MATH, volume = "12", number = "1", pages = "47--56", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Brosowski:1968:RTA, author = "Bruno Brosowski and Josef Stoer", title = "{Zur rationalen Tschebyscheff-Approximation differenzierbarer und analytischer Funktionen}. ({German}) [{On} a rational {Chebyshev} approximation of differentiable and analytic functions]", journal = j-NUM-MATH, volume = "12", number = "1", pages = "57--65", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:48:49 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Anselone:1968:GMC, author = "P. M. Anselone and P. J. Laurent", title = "A general method for the construction of interpolating or smoothing spline-functions", journal = j-NUM-MATH, volume = "12", number = "1", pages = "66--82", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Marshall:1968:SMA, author = "Albert W. Marshall and Ingram Olkin", title = "Scaling of matrices to achieve specified row and column sums", journal = j-NUM-MATH, volume = "12", number = "1", pages = "83--90", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bauer:1968:FVG, author = "F. L. Bauer", title = "Fields of values and {Gershgorin} disks", journal = j-NUM-MATH, volume = "12", number = "2", pages = "91--95", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Zenger:1968:CPB, author = "Chr. Zenger", title = "On convexity properties of the {Bauer} field of values of a matrix", journal = j-NUM-MATH, volume = "12", number = "2", pages = "96--105", month = aug, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02173403", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Maitre:1968:CNA, author = "Jean-Fran{\c{c}}ois Ma{\^\i}tre", title = "Sur une classe de normes et l'analyse a posteriori d'un syst{\`e}me lin{\'e}aire. ({French}) [{On} a Class of Norms and the {A} Posteriori Analysis of a Linear System ]", journal = j-NUM-MATH, volume = "12", number = "2", pages = "106--110", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "French", } @Article{Ghizzetti:1968:PCQ, author = "Aldo Ghizzetti", title = "Procedure for constructing quadrature formulae on infinite intervals", journal = j-NUM-MATH, volume = "12", number = "2", pages = "111--119", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Ciarlet:1968:NMHb, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {III}: {Eigenvalue} problems", journal = j-NUM-MATH, volume = "12", number = "2", pages = "120--133", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Wets:1968:TAC, author = "R. J.-B. Wets and Christoph Witzgall", title = "Towards an algebraic characterization of convex polyhedral cones", journal = j-NUM-MATH, volume = "12", number = "2", pages = "134--138", month = aug, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02173407", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stetter:1968:INM, author = "Hans J. Stetter", title = "Instability and non-monotonicity phenomena in discretizations to boundary value problems", journal = j-NUM-MATH, volume = "12", number = "2", pages = "139--145", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stoer:1968:LBM, author = "Josef Stoer", title = "Lower bounds of matrices", journal = j-NUM-MATH, volume = "12", number = "2", pages = "146--158", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Neckermann:1968:UAD, author = "L. Neckermann and P. O. Runck", title = "{{\"U}ber Approximationseigenschaften differenzierter Lagrangescher Interpolationspolynome mit Jacobischen Abszissen}. ({German}) [{On} Approximate Eigenvalues of Differentiated {Lagrangian} Interpolation Polynomials with {Jacobian} Abscissas]", journal = j-NUM-MATH, volume = "12", number = "3", pages = "159--169", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Roark:1968:EDI, author = "A. L. Roark and L. F. Shampine", title = "On the eigenproblem for displacement integral equations", journal = j-NUM-MATH, volume = "12", number = "3", pages = "170--179", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Gourlay:1968:HAD, author = "A. R. Gourlay and A. R. Mitchell", title = "High accuracy {A.D.I.} methods for parabolic equations with variable coefficients", journal = j-NUM-MATH, volume = "12", number = "3", pages = "180--185", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Brown:1968:NLI, author = "Kenneth M. Brown and J. E. {Dennis, Jr.}", title = "On {Newton}-Like Iteration Functions: General Convergence Theorems and a Specific Algorithm", journal = j-NUM-MATH, volume = "12", number = "3", pages = "186--191", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "Newton's method; nlop", } @Article{Atteia:1968:FSD, author = "Marc Atteia", title = "Fonctions `spline' d{\'e}finies sur un ensemble convexe. ({French}) [{Spline} Functions Defined on a Convex Set]", journal = j-NUM-MATH, volume = "12", number = "3", pages = "192--210", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "French", } @Article{Forster:1968:BIS, author = "Peter Forster", title = "{Bemerkungen zum Iterationsverfahren von Schulz zur Bestimmung der Inversen einer Matrix}. ({German}) [{Remarks} on {Schulz}'s iterative method for computing the inverse of a matrix]", journal = j-NUM-MATH, volume = "12", number = "3", pages = "211--214", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Bernal:1968:GTC, author = "M. J. M. Bernal and J. H. Verner", title = "On Generalizations of the Theory of Consistent Orderings for Successive Over-Relaxation Methods", journal = j-NUM-MATH, volume = "12", number = "3", pages = "215--222", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", annote = "Cited in \cite{govl:89}.", fjournal = "Numerische Mathematik", keywords = "iter; linear system; nla; relaxation", } @Article{Kreiss:1968:NSS, author = "Heinz-Otto Kreiss", title = "On the numerical solution of the spherically symmetric diffusion equation", journal = j-NUM-MATH, volume = "12", number = "3", pages = "223--225", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Manas:1968:FAV, author = "Miroslav Ma{\v{n}}as and Josef Nedoma", title = "Finding all vertices of a convex polyhedron", journal = j-NUM-MATH, volume = "12", number = "3", pages = "226--229", month = oct, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162916", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Graphics/siggraph/pre75.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", oldlabel = "geom-397", } @Article{Cody:1968:CRC, author = "W. J. Cody and J. Stoer", title = "Corrigendum: ``{Rational Chebyshev} approximations using interpolation''", journal = j-NUM-MATH, volume = "12", number = "3", pages = "230--230", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Sep 27 17:57:49 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Cody:1966:RCA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schwarz:1968:TSB, author = "H. R. Schwarz", title = "Tridiagonalization of a symmetric band matrix", journal = j-NUM-MATH, volume = "12", number = "4", pages = "231--241", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Also in \cite[pp. 273--283]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Cody:1968:RCA, author = "W. J. Cody and W. Fraser and J. F. Hart", title = "Rational {Chebyshev} approximation using linear equations", journal = j-NUM-MATH, volume = "12", number = "4", pages = "242--251", month = nov, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162506", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lyness:1968:CSI, author = "J. N. Lyness", title = "The calculation of {Stieltjes'} integral", journal = j-NUM-MATH, volume = "12", number = "4", pages = "252--265", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Ciarlet:1968:NMHc, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {IV}: {Periodic} boundary conditions", journal = j-NUM-MATH, volume = "12", number = "4", pages = "266--279", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Osborne:1968:NSP, author = "M. R. Osborne", title = "The numerical solution of a periodic parabolic problem subject to a nonlinear boundary condition. {II}", journal = j-NUM-MATH, volume = "12", number = "4", pages = "280--287", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Heesterman:1968:SSA, author = "A. R. G. Heesterman", title = "Special simplex algorithm for multi-sector problems", journal = j-NUM-MATH, volume = "12", number = "4", pages = "288--306", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Walter:1968:LNP, author = "Wolfgang Walter", title = "{Die Linienmethode bei nichtlinearen parabolischen Differentialgleichungen}. ({German}) [{The} Line Method for Nonlinear Parabolic Differential Equations]", journal = j-NUM-MATH, volume = "12", number = "4", pages = "307--321", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Keast:1968:TBV, author = "P. Keast", title = "The third boundary value problem for elliptic equations", journal = j-NUM-MATH, volume = "12", number = "4", pages = "322--326", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Karamardian:1968:ESC, author = "S. Karamardian", title = "Existence of solutions of certain systems of nonlinear inequalities", journal = j-NUM-MATH, volume = "12", number = "4", pages = "327--334", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Cryer:1968:PSG, author = "C. W. Cryer", title = "Pivot Size in {Gaussian} Elimination", journal = j-NUM-MATH, volume = "12", number = "4", pages = "335--345", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Businger:1968:MWC, author = "P. A. Businger", title = "Matrices Which Can Be Optimally Scaled", journal = j-NUM-MATH, volume = "12", number = "4", pages = "346--348", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Martin:1968:SRG, author = "Roger S. Martin and J. H. Wilkinson", title = "Similarity Reduction of a General Matrix to {Hessenberg} Form", journal = j-NUM-MATH, volume = "12", number = "5", pages = "349--368", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 339--358]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "eig; Hessenberg matrix; nla; nonsymmetric matrix; software", } @Article{Martin:1968:MAC, author = "Roger S. Martin and J. H. Wilkinson", title = "The Modified {$LR$} Algorithm for Complex {Hessenberg} Matrices", journal = j-NUM-MATH, volume = "12", number = "5", pages = "369--376", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 396--403]{Wilkinson:1971:LA}.", fjournal = "Numerische Mathematik", keywords = "complex matrix; eig; Hessenberg matrix; LR algorithm; nla; software", } @Article{Martin:1968:IA, author = "R. S. Martin and J. H. Wilkinson", title = "The Implicit {$QL$} Algorithm", journal = j-NUM-MATH, volume = "12", number = "5", pages = "377--383", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp.~241--248]{Wilkinson:1971:LA}, where A. A. Dubrulle is listed as the lead author.", fjournal = "Numerische Mathematik", keywords = "eig; nla; QL algorithm; QR algorithm; software; tridiagonal matrix", } @Article{Barnhill:1968:APM, author = "Robert E. Barnhill", title = "Asymptotic properties of minimum norm and optimal quadratures", journal = j-NUM-MATH, volume = "12", number = "5", pages = "384--393", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Zlamal:1968:FEM, author = "Milo{\v{s}} Zl{\'a}mal", title = "On the finite element method", journal = j-NUM-MATH, volume = "12", number = "5", pages = "394--409", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Shampine:1968:EBV, author = "L. F. Shampine", title = "Error bounds and variational methods for nonlinear boundary value problems", journal = j-NUM-MATH, volume = "12", number = "5", pages = "410--415", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Fraser:1968:AUA, author = "M. Fraser and N. Metropolis", title = "Algorithms in unnormalized arithmetic. {III}: {Matrix} inversion", journal = j-NUM-MATH, volume = "12", number = "5", pages = "416--428", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Loizou:1968:MCS, author = "G. Loizou", title = "On matrices with a checkerboard sign distribution", journal = j-NUM-MATH, volume = "12", number = "5", pages = "429--430", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Noltemeier:1968:A, author = "H. Noltemeier and M. Ost", title = "{Zum Auswahlproblem}. ({German}) [{On} the Selection Problem]", journal = j-NUM-MATH, volume = "12", number = "5", pages = "431--434", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Goel:1968:CBF, author = "J.-J. Go{\"e}l", title = "Construction of basic functions for numerical utilisation of {Ritz}'s method", journal = j-NUM-MATH, volume = "12", number = "5", pages = "435--447", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schafke:1968:ZGL, author = "F. W. Sch{\"a}fke", title = "{Zum Zeilensummenkriterium}. (German) [{On} the line sum criterion]", journal = j-NUM-MATH, volume = "12", number = "5", pages = "448--453", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Jan 13 08:26:57 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Sunouchi:1968:PTD, author = "Haruo Sunouchi", title = "Perturbation theory of difference schemes", journal = j-NUM-MATH, volume = "12", number = "5", pages = "454--458", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Jan 13 08:26:57 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Oliver:1968:EOE, author = "J. Oliver", title = "An extension of {Olver}'s error estimation technique for linear recurrence relations", journal = j-NUM-MATH, volume = "12", number = "5", pages = "459--467", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Jan 13 08:26:57 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bauer:1969:ROS, author = "F. L. Bauer", title = "Remarks on Optimally Scaled Matrices", journal = j-NUM-MATH, volume = "13", number = "1", pages = "1--3", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Rutishauser:1969:CAF, author = "Heinz Rutishauser", title = "Computational aspects of {F. L. Bauer}'s simultaneous iteration method", journal = j-NUM-MATH, volume = "13", number = "1", pages = "4--13", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Verner:1969:OSI, author = "J. H. Verner", title = "The Order of Some Implicit {Runge--Kutta} Methods", journal = j-NUM-MATH, volume = "13", number = "1", pages = "14--23", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Werner:1969:ENG, author = "Jochen Werner", title = "{Einschlie{\ss}ungssa{\"a}tze bei nichtlinearen gew{\"o}nlichen Randwertaufgaben und erzwungene Schwingungen}. ({German}) [{Enclosure} Principles for Nonlinear Ordinary Boundary Value Problems and Forced Vibrations]", journal = j-NUM-MATH, volume = "13", number = "1", pages = "24--38", month = mar, year = "1969", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02165271", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Ade:1969:IHO, author = "Hans Ade", title = "{Iterationsverfahren h{\"o}herer Ordnung in Banach-R{\"a}umen}. ({German}) [{Iteration} Methods of Higher-Order in {Banach} Spaces]", journal = j-NUM-MATH, volume = "13", number = "1", pages = "39--50", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Ciarlet:1969:NMH, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {V}: Monotone Operator Theory", journal = j-NUM-MATH, volume = "13", number = "1", pages = "51--77", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Natterer:1969:EGE, author = "Frank Natterer", title = "{Einschlie{\ss}ungen f{\"u}r die gro{\ss}en Eigenwerte gew{\"o}nlicher Differentialgleichungen zweiter und vierter Ordnung}. ({German}) [{Bounds for the large eigenvalues of second- and fourth-order ordinary differential equations}]", journal = j-NUM-MATH, volume = "13", number = "1", pages = "78--93", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Ehresmann:1969:ABA, author = "Dietbert Ehresmann", title = "{Zur Absch{\"a}tzung des Bestapproximationsfehlers bei der Approximation differenzierbarer Funktionen durch Polynome}. ({German}) [{Toward} Approximation of Best Approximation Errors for the Approximation of Differentiable Functions by Polynomials]", journal = j-NUM-MATH, volume = "13", number = "1", pages = "94--100", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Bramble:1969:CDA, author = "J. H. Bramble", title = "On the convergence of difference approximations to weak solutions of {Dirichlet}'s problem", journal = j-NUM-MATH, volume = "13", number = "2", pages = "101--111", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Werner:1969:UZI, author = "H. Werner and Dietrich Braess", title = "{{\"U}ber den Zusammenhang von Interpolation und diskreter $T$-Approximation mit rationalen Funktionen}. ({German}) [{On} the Coherence of Interpolation and Discrete {$T$} Approximation with Rational Functions]", journal = j-NUM-MATH, volume = "13", number = "2", pages = "112--128", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Anderssen:1969:NSP, author = "R. S. Anderssen", title = "The numerical solution of parabolic differential equations using variational methods", journal = j-NUM-MATH, volume = "13", number = "2", pages = "129--145", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Sreedharan:1969:SOL, author = "V. P. Sreedharan", title = "Solutions of overdetermined linear equations which minimize error in an abstract norm", journal = j-NUM-MATH, volume = "13", number = "2", pages = "146--151", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Osborn:1969:NPT, author = "John E. Osborn", title = "A note on a perturbation theorem for the matrix eigenvalue problem", journal = j-NUM-MATH, volume = "13", number = "2", pages = "152--153", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stiefel:1969:SCM, author = "E. Stiefel and D. G. Bettis", title = "Stabilization of {Cowell}'s method", journal = j-NUM-MATH, volume = "13", number = "2", pages = "154--175", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Squier:1969:OSM, author = "D. P. Squier", title = "One-step methods for ordinary differential equations", journal = j-NUM-MATH, volume = "13", number = "2", pages = "176--179", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Perrin:1969:HON, author = "F. M. Perrin and H. S. Price and R. S. Varga", title = "On higher-order numerical methods for nonlinear two-point boundary value problems", journal = j-NUM-MATH, volume = "13", number = "2", pages = "180--198", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Osborne:1969:EBA, author = "M. R. Osborne and G. A. Watson", title = "On estimating best approximations of functions defined by differential equations", journal = j-NUM-MATH, volume = "13", number = "3", pages = "199--206", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Marek:1969:RSC, author = "Ivo Marek", title = "On the row sum criterion and the convergence of some iterative processes", journal = j-NUM-MATH, volume = "13", number = "3", pages = "207--216", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Ansorge:1969:KDQ, author = "Rainer Ansorge", title = "{Konvergenz von Differenzenverfahren f{\"u}r quasilineare Anfangswertaufgaben}. ({German}) [{Convergence} of Difference Methods for Quasilinear Initial Value Problems]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "217--225", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Bohl:1969:UFN, author = "Erich Bohl", title = "{{\"U}ber Fehlerabsch{\"a}tzungen bei nichtlinearen Operatorgleichungen}. ({German}) [{On} Error Bounds for Nonlinear Operator Equations]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "226--237", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Johnson:1969:UAV, author = "Lee W. Johnson", title = "Uniform approximation of vector-valued functions", journal = j-NUM-MATH, volume = "13", number = "3", pages = "238--244", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 16:10:24 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Elsner:1969:BAM, author = "L. Elsner", title = "{Bemerkung zu einer Arbeit von Marshall und Olkin}. ({German}) [{Remark} on a paper of {Marshall} and {Olkin}]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "245--246", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Feb 22 18:42:15 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Pattabhiraman:1969:SPP, author = "M. V. Pattabhiraman and P. Lancaster", title = "Spectral properties of a polynomial operator", journal = j-NUM-MATH, volume = "13", number = "3", pages = "247--259", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Nitsche:1969:VRS, author = "Joachim A. Nitsche", title = "{Verfahren von Ritz und Spline-Interpolation bei Sturm--Liouville-Randwertproblemen}. ({German}) [{Ritz methods and spline interpolation of Sturm--Liouville boundary value problems}]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "260--265", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Bulirsch:1969:EBT, author = "R. Bulirsch", title = "An extension of the {Bartky}-transformation to incomplete elliptic integrals of the third kind", journal = j-NUM-MATH, volume = "13", number = "3", pages = "266--284", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Hadeler:1969:EAM, author = "K. P. Hadeler", title = "{Einige Anwendungen mehrparametriger Eigenwertaufgaben}. ({German}) [{Some} Uses of Extra Parametrized Eigenvalue Problems]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "285--292", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Parlett:1969:BMC, author = "B. N. Parlett and C. Reinsch", title = "Balancing a matrix for calculation of eigenvalues and eigenvectors", journal = j-NUM-MATH, volume = "13", number = "4", pages = "293--304", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 315--326]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", keywords = "eig; nla; scaling; software", } @Article{Bulirsch:1969:NCE, author = "R. Bulirsch", title = "Numerical calculation of elliptic integrals and elliptic functions. {III}", journal = j-NUM-MATH, volume = "13", number = "4", pages = "305--315", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Rainey:1969:CST, author = "John W. Rainey", title = "On comparatively stable tridiagonalization methods", journal = j-NUM-MATH, volume = "13", number = "4", pages = "316--322", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Razelos:1969:AAS, author = "P. Razelos", title = "On the accuracy of the analog solution of heat conduction problems involving {Newtonian} cooling", journal = j-NUM-MATH, volume = "13", number = "4", pages = "323--333", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Nitsche:1969:ISF, author = "J. Nitsche", title = "{Interpolation in Sobolevschen Funktionenr{\"a}umen}. ({German}) [{Interpolation} in {Sobolev} function spaces]", journal = j-NUM-MATH, volume = "13", number = "4", pages = "334--343", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Dirschmid:1969:BAG, author = "H. J. Dirschmid", title = "{Bemerkungen zu einer Arbeit von G. Polya zur Bestimmung der Nullstellen ganzer Funktionen}. ({German}) [{Comment} on a work by {G. Polya} for Determining Zeros of Real Functions]", journal = j-NUM-MATH, volume = "13", number = "4", pages = "344--348", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Soukup:1969:MFR, author = "Ji{\v{r}}{\'\i} Soukup", title = "A method for finding the roots of a polynomial", journal = j-NUM-MATH, volume = "13", number = "4", pages = "349--353", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Strassen:1969:GEO, author = "Volker Strassen", title = "{Gaussian} Elimination is Not Optimal", journal = j-NUM-MATH, volume = "13", number = "4", pages = "354--356", month = aug, year = "1969", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02165411", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "The author shows that matrix multiplication can be done with fewer than $4.7 \times n^{\log_2 7} \approx 4.7 \times n^{2.807}$ arithmetic operations, and that Gaussian elimination and matrix inversion can be done with $O(n^{\log_2 7}$ arithmetic operations.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Davis:1969:NIL, author = "Joel Davis and Jerome J. Jacoby", title = "Numerical integration of linear integral equations with mild discontinuity", journal = j-NUM-MATH, volume = "13", number = "4", pages = "357--361", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stewart:1969:AOI, author = "G. W. Stewart", title = "Accelerating the orthogonal iteration for the eigenvectors of a {Hermitian} matrix", journal = j-NUM-MATH, volume = "13", number = "4", pages = "362--376", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Taylor:1969:GSR, author = "P. J. Taylor", title = "A generalisation of systematic relaxation methods for consistently ordered matrices", journal = j-NUM-MATH, volume = "13", number = "5", pages = "377--395", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Hadjidimos:1969:SHA, author = "Apostolos Hadjidimos", title = "On some high accuracy difference schemes for solving elliptic equations", journal = j-NUM-MATH, volume = "13", number = "5", pages = "396--403", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bareiss:1969:NSL, author = "Erwin H. Bareiss", title = "Numerical Solution of Linear Equations with {Toeplitz} and Vector {Toeplitz} Matrices", journal = j-NUM-MATH, volume = "13", number = "5", pages = "404--424", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/chirplet.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Nichols:1969:GCO, author = "Nancy K. Nichols and L. Fox", title = "Generalised consistent ordering and the optimum successive overrelaxation factor", journal = j-NUM-MATH, volume = "13", number = "5", pages = "425--433", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Natterer:1969:NBS, author = "Frank Natterer", title = "{Numerische Behandlung singul{\"a}rer Sturm--Liouville-Probleme}. ({German}) [{Numerical treatment of singular Sturm--Liouville problems}]", journal = j-NUM-MATH, volume = "13", number = "5", pages = "434--447", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Symm:1969:CMD, author = "George T. Symm", title = "Conformal mapping of doubly-connected domains", journal = j-NUM-MATH, volume = "13", number = "5", pages = "448--457", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stewart:1969:SIF, author = "G. W. Stewart", title = "Some iterations for factoring a polynomial", journal = j-NUM-MATH, volume = "13", number = "5", pages = "458--470", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Jan 13 08:40:53 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Householder:1969:CSI, author = "A. S. Householder and G. W. Stewart", title = "Comments on {``Some iterations for factoring a polynomial''}", journal = j-NUM-MATH, volume = "13", number = "5", pages = "470--471", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Jan 13 08:40:53 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } %%% Issue numbers, but still no months, first appeared with volume 14 %%% (1969). @Article{Lyness:1969:GRM, author = "J. N. Lyness and C. B. Moler", title = "Generalized {Romberg} methods for integrals of derivatives", journal = j-NUM-MATH, volume = "14", number = "1", pages = "1--13", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{vanderSluis:1969:CNE, author = "A. van der Sluis", title = "Condition Numbers and Equilibration of Matrices", journal = j-NUM-MATH, volume = "14", number = "1", pages = "14--23", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", keywords = "condition; lsq; nla; pert; scaling", } @Article{Hoffman:1969:TNT, author = "Karl-Heinz Hoffman", title = "{Zur Theorie der nichtlinearen Tschebyscheff-Approximation mit Nebenbedingungen}. ({German}) [{Toward} a Theory of Nonlinear {Chebyshev} Approximation with Constraints]", journal = j-NUM-MATH, volume = "14", number = "1", pages = "24--41", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Zlamal:1969:SFE, author = "Milo{\v{s}} Zl{\'a}mal", title = "On some finite element procedures for solving second order boundary value problems", journal = j-NUM-MATH, volume = "14", number = "1", pages = "42--48", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Marek:1969:NBS, author = "Ivo Marek and Richard S. Varga", title = "Nested bounds for the spectral radius", journal = j-NUM-MATH, volume = "14", number = "1", pages = "49--70", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Taylor:1969:AFH, author = "G. D. Taylor", title = "Approximation by functions having restricted ranges: {Equality} case", journal = j-NUM-MATH, volume = "14", number = "1", pages = "71--78", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{vanWijngaarden:1969:RAL, author = "A. van Wijngaarden and B. J. Mailloux and J. E. L. Peck and C. H. A. Koster", title = "Report on the Algorithmic Language {ALGOL 68}", journal = j-NUM-MATH, volume = "14", number = "2", pages = "79--218", month = dec, year = "1969", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02163002", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Fri Oct 31 15:47:50 2003", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.fh-jena.de/~kleine/history/languages/Algol68-Report.pdf; http://www.fh-jena.de/~kleine/history/languages/Algol68-RevisedReport.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Martin:1970:ARH, author = "R. S. Martin and G. Peters and J. H. Wilkinson", title = "The {$QR$} Algorithm for real {Hessenberg} matrices", journal = j-NUM-MATH, volume = "14", number = "3", pages = "219--231", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Jan 28 17:21:29 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 359--371]{Wilkinson:1971:LA}.", fjournal = "Numerische Mathematik", keywords = "eig; Hessenberg matrix; nla; QR algorithm; software", } @Article{Eberlein:1970:SCE, author = "P. J. Eberlein", title = "Solution to the complex eigenproblem by a norm reducing {Jacobi} type method", journal = j-NUM-MATH, volume = "14", number = "3", pages = "232--245", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Jan 28 17:21:59 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", note = "Also in \cite[pp. 404--417]{Wilkinson:1971:LA}.", fjournal = "Numerische Mathematik", } @Article{vanderSluis:1970:SSL, author = "A. van der Sluis", title = "Stability of Solutions of Linear Algebraic Systems", journal = j-NUM-MATH, volume = "14", number = "3", pages = "246--251", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Jan 28 17:22:11 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Jenkins:1970:TSV, author = "M. A. Jenkins and J. F. Traub", title = "A three-stage variable-shift iteration for polynomial zeros and its relation to generalized {Rayleigh} iteration", journal = j-NUM-MATH, volume = "14", number = "3", pages = "252--263", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bosarge:1970:IDM, author = "W. E. {Bosarge, Jr.} and Peter L. Falb", title = "Infinite dimensional multipoint methods and the solution of two point boundary value problems", journal = j-NUM-MATH, volume = "14", number = "3", pages = "264--286", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:13:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Borsch-Supan:1970:RPN, author = "Wolfgang B{\"o}rsch-Supan", title = "{Residuenabsch{\"a}tzung f{\"u}r Polynom-Nullstellen mittels Lagrange-Interpolation}. ({German}) [{Residue} Bounds for Polynomial Zeros through {Lagrange} Interpolation]", journal = j-NUM-MATH, volume = "14", number = "3", pages = "287--296", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:23:14 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Davis:1970:TY, author = "Chandler Davis", title = "On a theorem of {Yamamoto}", journal = j-NUM-MATH, volume = "14", number = "3", pages = "297--298", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:25:04 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schonhage:1970:MRI, author = "Arnold Sch{\"o}nhage", title = "{Mehrdimensionale Romberg-Integration}. ({German}) [{Multidimensional Romberg} Integration]", journal = j-NUM-MATH, volume = "14", number = "3", pages = "299--304", month = feb, year = "1970", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02163338", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:29:30 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "Anders [1] showed, that the remainder term of $n$-dimensional Romberg integration $T_{m,k}$ is of order $O(4^{ km})$ for $k \to \inftyQ4. Here, by induction over $n$ and the results [2] for $n = 1$$, an explicit formula is derived, giving the precise constants. It follows, that for $f$ continuous and $m + k \to \infty$, the $T_{m,k}$ are converging to the value of the integral.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Barrar:1970:CMN, author = "Richard B. Barrar and Henry L. Loeb", title = "On the convergence in measure of non-linear {Chebyshev} approximations", journal = j-NUM-MATH, volume = "14", number = "3", pages = "305--312", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:29:53 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lode:1970:NNE, author = "W. Lode", title = "{Zum neuen Norm Entwurf DIN 1333 ``Abbrechen und Runden von Dezimalzahlen''}. ({German}) [{Toward} a New Standard Design {DIN 1333} ``Calculation and Rounding in Decimal Numbers'']", journal = j-NUM-MATH, volume = "14", number = "3", pages = "313--316", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:30:54 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Christiansen:1970:NSO, author = "Jan Christiansen", title = "Numerical solution of ordinary simultaneous differential equations of the $1$st order using a method for automatic step change", journal = j-NUM-MATH, volume = "14", number = "4", pages = "317--324", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:34:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Christiansen:1970:ENS}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Pietrzykowski:1970:PMC, author = "Tomasz Pietrzykowski", title = "The potential method for conditional maxima in the locally compact metric spaces", journal = j-NUM-MATH, volume = "14", number = "4", pages = "325--329", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Guenther:1970:NCF, author = "R. B. Guenther and E. L. Roetman", title = "{Newton--Cotes} formulae in $n$-dimensions", journal = j-NUM-MATH, volume = "14", number = "4", pages = "330--345", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Natterer:1970:SEG, author = "Frank Natterer", title = "{Schranken f{\"u}r die Eigenwerte gew{\"o}hnlicher Differentialgleichungen durch Spline-Approximation}. ({German}) [{Bounds} for the Eigenvalue of Ordinary Differential Equations by Spline Approximation]", journal = j-NUM-MATH, volume = "14", number = "4", pages = "346--354", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Jamet:1970:CFD, author = "Pierre Jamet", title = "On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems", journal = j-NUM-MATH, volume = "14", number = "4", pages = "355--378", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Fair:1970:PAO, author = "Wyman Fair and Yudell L. Luke", title = "{Pad{\'e}} approximations to the operator exponential", journal = j-NUM-MATH, volume = "14", number = "4", pages = "379--382", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:13:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Hoffmann:1970:NTA, author = "Karl-Heinz Hoffmann", title = "{Nichtlineare Tschebyscheff-Approximation mit Nebenbedingungen: Anwendungen}. ({German}) [{Nonlinear Chebyshev} Approximation with Constraints: Use]", journal = j-NUM-MATH, volume = "14", number = "4", pages = "383--393", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:23:14 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Zlamal:1970:FEP, author = "Milo{\v{s}} Zl{\'a}mal", title = "A finite element procedure of the second order of accuracy", journal = j-NUM-MATH, volume = "14", number = "4", pages = "394--402", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:35:04 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Golub:1970:SVD, author = "G. H. Golub and C. Reinsch", title = "Singular Value Decomposition and Least Squares Solutions", journal = j-NUM-MATH, volume = "14", number = "5", pages = "403--420", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Jan 28 17:25:01 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/tex/bib/gvl.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 134--151]{Wilkinson:1971:LA}.", fjournal = "Numerische Mathematik", keywords = "lsq; nla; rank determination; regularization; software; svd", } @Article{Bettis:1970:NIP, author = "D. G. Bettis", title = "Numerical integration of products of {Fourier} and ordinary polynomials", journal = j-NUM-MATH, volume = "14", number = "5", pages = "421--434", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Jan 13 08:56:00 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=421", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Campbell:1970:SAD, author = "N. G. Campbell", title = "Stability analysis of a difference scheme for the {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "14", number = "5", pages = "435--447", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Jan 13 08:56:00 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=435", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Gorenflo:1970:NSD, author = "Rudolf Gorenflo", title = "{Nichtnegativit{\"a}ts-und substanzerhaltende Differenzenschemata f{\"u}r lineare Diffusionsgleichungen}. ({German}) [{Nonnegativity} and substance-receiving difference patterns for linear diffusion equations]", journal = j-NUM-MATH, volume = "14", number = "5", pages = "448--467", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Jan 13 08:56:00 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=448", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Braess:1970:MKI, author = "Dietrich Braess", title = "{Eine M{\"o}glichkeit zur Konvergenzbeschleunigung bei Iterationsverfahren f{\"u}r bestimmte nichtlineare Probleme}. ({German}) [{A} possibility for convergence acceleration of iterative methods for certain nonlinear problems]", journal = j-NUM-MATH, volume = "14", number = "5", pages = "468--475", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Jan 13 08:56:00 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=468", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Petry:1970:EEF, author = "W. Petry", title = "{Existenz und Eindeutigkeit f{\"u}r L{\"o}sungen nichtlinearer Randwertprobleme}. ({German}) [{Existence} and uniqueness for solutions of nonlinear boundary value problems]", journal = j-NUM-MATH, volume = "14", number = "5", pages = "476--494", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Jan 13 08:56:00 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=476", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Svecoa:1970:BSC, author = "H. {\v{S}}veco{\'a}", title = "On the {Bauer}'s scaled condition number of matrices arising from approximate conformal mapping", journal = j-NUM-MATH, volume = "14", number = "5", pages = "495--507", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Jan 13 08:56:00 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=495", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Christiansen:1970:ENS, author = "Jan Christiansen", title = "Erratum: {{\em Numerical solution of ordinary simultaneous differential equations of the $1$st order using a method for automatic step change}}", journal = j-NUM-MATH, volume = "15", number = "1", pages = "v--v", month = may, year = "1970", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02165656", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Christiansen:1970:NSO}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Shah:1970:TDP, author = "Jayant M. Shah", title = "Two-dimensional polynomial splines", journal = j-NUM-MATH, volume = "15", number = "1", pages = "1--14", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Grigorieff:1970:KRE, author = "Rolf Dieter Grigorieff", title = "{Die Konvergenz des Rand- und Eigenwertproblems linearer gew{\"o}hnlicher Differenzengleichungen}. ({German}) [{The convergence of boundary- and eigenvalue problems of linear difference equations}]", journal = j-NUM-MATH, volume = "15", number = "1", pages = "15--48", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Rund:1970:RCB, author = "Hanno Rund", title = "The reduction of certain boundary problems to variational problems by means of transversality conditions", journal = j-NUM-MATH, volume = "15", number = "1", pages = "49--56", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Ruhe:1970:PMV, author = "Axel Ruhe", title = "Properties of a matrix with a very ill-conditioned eigenproblem", journal = j-NUM-MATH, volume = "15", number = "1", pages = "57--60", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stoss:1970:MED, author = "Hanns-J{\"o}rg Sto{\ss}", title = "{Monotonie-Eigenschaften bei Differentialungleichungen {\"u}ber nichtkompaktem Grundbereich}. ({German}) [{Monotone} Eigenvalues of Differential Equations over Noncompact Fields]", journal = j-NUM-MATH, volume = "15", number = "1", pages = "61--73", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{vanderSluis:1970:CEP, author = "A. van der Sluis", title = "Condition, Equilibration and Pivoting in Linear Algebraic Systems", journal = j-NUM-MATH, volume = "15", number = "1", pages = "74--86", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Jan 28 17:25:09 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", keywords = "condition; linear system; nla; pert; pivoting", } @Article{Ciarlet:1970:NMH, author = "P. G. Ciarlet and F. Natterer and R. S. Varga", title = "Numerical methods of high-order accuracy for singular nonlinear boundary value problems", journal = j-NUM-MATH, volume = "15", number = "2", pages = "87--99", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:39:36 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schroder:1970:PIP, author = "Johann Schr{\"o}der", title = "Proving inverse-positivity of linear operators by reduction", journal = j-NUM-MATH, volume = "15", number = "2", pages = "100--108", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:40:25 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schafke:1970:AEI, author = "F. W. Sch{\"a}fke", title = "{Zum Anwendungsbereich einiger Iterationsverfahren}. ({German}) [{On} the Application of an Iteration Scheme]", journal = j-NUM-MATH, volume = "15", number = "2", pages = "109--121", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:40:55 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Wetterling:1970:DRE, author = "W. Wetterling", title = "{Definitheitsbedingungen f{\"u}r relative Extrema bei Optimierungs- und Approximationsaufgaben}. ({German}) [{Definiteness} Conditions for Relative Extrema in Optimization and Approximation Problems]", journal = j-NUM-MATH, volume = "15", number = "2", pages = "122--136", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:41:17 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Laurent:1970:GAC, author = "P. J. Laurent and Pham-Dinh-Tuan", title = "Global approximation of a compact set by elements of a convex set in a normed space", journal = j-NUM-MATH, volume = "15", number = "2", pages = "137--150", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:42:32 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Urabe:1970:IOS, author = "Minoru Urabe", title = "An implicit one-step method of high-order accuracy for the numerical integration of ordinary differential equations", journal = j-NUM-MATH, volume = "15", number = "2", pages = "151--164", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:43:31 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Ehlich:1970:KMI, author = "H. Ehlich and W. Haussmann", title = "{Konvergenz mehrdimensionaler Interpolation}. ({German}) [{Convergence} of Multidimensional Interpolation]", journal = j-NUM-MATH, volume = "15", number = "2", pages = "165--174", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:45:45 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Doring:1970:TVB, author = "Boro D{\"o}ring", title = "{Das Tschebyscheff-Verfahren in Banach-R{\"a}umen}. ({German}) [{Chebyshev's method in Banach spaces}]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "175--195", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 21:45:35 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Inst. Technic. Hochschule Darmstadt, West Germany", fjournal = "Numerische Mathematik", keywords = "Chebyshev approximation; nonlinear equations", language = "German", } @Article{Grigorieff:1970:KGD, author = "Rolf Dieter Grigorieff", title = "{{\"U}ber die Koerzitivit{\"a}t gew{\"o}nlicher Differenzenoperatoren und die Konvergenz von Mehrschrittverfahren}. ({German}) [{On the coerciveness of ordinary difference operators and the convergence of multistep methods}]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "196--218", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 21:45:38 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Univ. Frankfurt, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; difference equations", language = "German", } @Article{Schaefer:1970:ANE, author = "Helmut H. Schaefer", title = "{Eine Absch{\"a}tzung der nichttrivialen Eigenwerte stochastischer Matrizen}. ({German}) [{An} Approximation of Nontrivial Eigenvalues of Stochastic Matrices]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "219--223", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Nitsche:1970:KNB, author = "J. Nitsche", title = "{Zur Konvergenz von N{\"a}herungsverfahren bez{\"u}glich verschiedener Normen}. ({German}) [{On the convergence of approximation processes with respect to various norms}]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "224--228", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 21:49:47 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; function approximation; linear algebra", language = "German", } @Article{Martensen:1970:RGQ, author = "Erich Martensen", title = "{Zur Restglieddartstellung der Gregoryschen Quadraturformel ungerader Ordnung}. ({German}) [{On the representation of the remainder of the {Gregory} quadrature formula of an odd series}]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "229--233", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:03:36 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", fjournal = "Numerische Mathematik", keywords = "integration; numerical analysis", language = "German", } @Article{Miklosko:1970:APC, author = "Jozef Miklo{\v{s}}ko", title = "Asymptotic properties and the convergence of numerical quadratures", journal = j-NUM-MATH, volume = "15", number = "3", pages = "234--249", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Slovak Acad. Sci., SSSR, USSR", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; integration; interpolation", } @Article{vanderSluis:1970:URP, author = "A. van der Sluis", title = "Upperbounds for roots of polynomials", journal = j-NUM-MATH, volume = "15", number = "3", pages = "250--262", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", fjournal = "Numerische Mathematik", keywords = "nonlinear equations; numerical methods; poles and zeros; polynomials", } @Article{Schmidt:1970:LMN, author = "Jochen W. Schmidt and Klaus Vetters", title = "{Ableitsungfreie Verfahren f{\"u}r nichtlineare Optimierungsprobleme}. ({German}) [{Lossless method for nonlinear optimization problem}]", journal = j-NUM-MATH, volume = "15", number = "4", pages = "263--282", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:05:21 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Univ. Dresden, East Germany", fjournal = "Numerische Mathematik", keywords = "interpolation; nonlinear programming; optimisation", language = "German", } @Article{Zenisek:1970:IPT, author = "Alexander {\v{Z}}en{\'\i}{\v{s}}ek", title = "Interpolation polynomials on the triangle", journal = j-NUM-MATH, volume = "15", number = "4", pages = "283--296", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Tech. Univ., Brno, Czechoslovakia", fjournal = "Numerische Mathematik", keywords = "interpolation; polynomials", } @Article{Stallmann:1970:NSI, author = "Friedmann W. Stallmann", title = "Numerical solution of integral equations", journal = j-NUM-MATH, volume = "15", number = "4", pages = "297--305", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Univ. Tennessee, TN, USA", fjournal = "Numerische Mathematik", keywords = "integral equations; numerical methods", } @Article{Stewart:1970:SIF, author = "G. W. Stewart", title = "On {Samelson}'s iteration for factoring polynomials", journal = j-NUM-MATH, volume = "15", number = "4", pages = "306--314", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Univ. Texas, Austin, TX, USA", fjournal = "Numerische Mathematik", keywords = "iterative methods; polynomials", } @Article{Baker:1970:EPI, author = "Christopher T. H. Baker", title = "The error in polynomial interpolation", journal = j-NUM-MATH, volume = "15", number = "4", pages = "315--319", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Univ. Manchester, UK", fjournal = "Numerische Mathematik", keywords = "error analysis; interpolation; polynomials", } @Article{Rakotch:1970:EEN, author = "E. Rakotch and J. Steinberg", title = "Error estimate for the numerical solution of {Fredholm}'s integral equation", journal = j-NUM-MATH, volume = "15", number = "4", pages = "320--328", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Dept. Computer Sci., Haifa, Israel", fjournal = "Numerische Mathematik", keywords = "error analysis; integral equations; numerical methods", } @Article{vonFinckenstein:1970:PWM, author = "Karl Graf Finck von Finckenstein", title = "{Potenzbeschr{\"a}nktheit und Wertebereich einer Matrix}. ({German}) [{Potency} Limitation and Ranges of a Matrix]", journal = j-NUM-MATH, volume = "15", number = "4", pages = "329--332", month = aug, year = "1970", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02165124", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Lyness:1970:RTD, author = "J. N. Lyness and B. J. J. McHugh", title = "On the remainder term in the {$N$}-dimensional {Euler Maclaurin} expansion", journal = j-NUM-MATH, volume = "15", number = "4", pages = "333--344", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Argonne Nat. Lab., IL, USA", fjournal = "Numerische Mathematik", keywords = "integration", } @Article{deOliveira:1970:NIC, author = "G. N. de Oliveira", title = "Note on an inverse characteristic value problem", journal = j-NUM-MATH, volume = "15", number = "4", pages = "345--347", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Marsal:1970:ELI, author = "D. Marsal", title = "{Eingabelung der L{\"o}sungen von Integralgleichungen}. ({German}) [{Bifurcation} of solutions of integral equations]", journal = j-NUM-MATH, volume = "15", number = "4", pages = "348--350", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Mangasarian:1970:CSM, author = "O. L. Mangasarian", title = "A convergent splitting of matrices", journal = j-NUM-MATH, volume = "15", number = "4", pages = "351--353", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Wisconsin, WI, USA", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; matrix algebra", } @Article{Luther:1970:OCF, author = "H. A. Luther and H. G. Sierra", title = "On the optimal choice of fourth-order {Runge--Kutta} formulas", journal = j-NUM-MATH, volume = "15", number = "4", pages = "354--358", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Texas A and M Univ., TX, USA", fjournal = "Numerische Mathematik", keywords = "differential equations; numerical methods; optimisation; stability", } @Article{Lucas:1970:GS, author = "Thomas R. Lucas", title = "A generalization of {$L$}-splines", journal = j-NUM-MATH, volume = "15", number = "5", pages = "359--370", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", fjournal = "Numerische Mathematik", keywords = "differentiation; splines (mathematics)", } @Article{Descloux:1970:NIH, author = "J. Descloux", title = "On the numerical integration of the heat equation", journal = j-NUM-MATH, volume = "15", number = "5", pages = "371--381", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0270 (Computational techniques); A4400 (Heat flow, thermal and thermodynamic processes); A4725Q (Convection and heat transfer); C4170 (Differential equations)", fjournal = "Numerische Mathematik", keywords = "calculation; differential equations; heat conduction; physics", } @Article{Barrar:1970:RAN, author = "Richard B. Barrar and Henry L. Loeb", title = "On the {Remez} algorithm for non-linear families", journal = j-NUM-MATH, volume = "15", number = "5", pages = "382--391", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods", } @Article{Lamprecht:1970:AFR, author = "G{\'u}nther Lamprecht", title = "{{\"U}ber die Abh{\"a}ngigkeit der Fehlerfunktion bei der rationale $L_p$-Approximation von den Koeffizienten des Nennerpolynoms bei minimalem Z{\"a}hlerpolynom}. ({German}) [{On the relation between the error function with rational {$L_p$} approximation and the coefficients of the denominator polynomial with minimum numerator polynomial}]", journal = j-NUM-MATH, volume = "15", number = "5", pages = "392--403", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:23:28 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", keywords = "function approximation", language = "German", } @Article{Hertling:1970:APC, author = "J{\"o}rg Hertling", title = "Approximation of piecewise continuous functions by a modification of piecewise {Hermite} interpolation", journal = j-NUM-MATH, volume = "15", number = "5", pages = "404--414", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", keywords = "function approximation; interpolation", } @Article{Zettl:1970:VMF, author = "G. Zettl", title = "{Ein Verfahren zum Minimieren einer Funktion bei eingeschr{\"a}nktem Variationsbereich der Parameter}. ({German}) [{A method for the minimization of a function by a limited variation of parameters}]", journal = j-NUM-MATH, volume = "15", number = "5", pages = "415--432", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:25:03 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", fjournal = "Numerische Mathematik", keywords = "variational techniques", language = "German", } @Article{Jerome:1970:LSM, author = "Joseph W. Jerome", title = "Linear self-adjoint multipoint boundary value problems and related approximation schemes", journal = j-NUM-MATH, volume = "15", number = "5", pages = "433--449", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Northwestern Univ., Evanston, IL, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; differentiation; eigenvalues and eigenfunctions", } @Article{Dubrulle:1970:SNI, author = "A. Dubrulle", title = "A short note on the implicit {$QL$} algorithm for symmetric tridiagonal matrices", journal = j-NUM-MATH, volume = "15", number = "5", pages = "450--450", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "IBM Corp., Houston, TX, USA", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; iterative methods; matrix algebra", } @Article{Howland:1970:CMS, author = "James Lucien Howland and John Albert Senez", title = "A constructive method for the solution of the stability problem", journal = j-NUM-MATH, volume = "16", number = "1", pages = "1--7", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1320 (Stability in control theory); C4140 (Linear algebra)", corpsource = "Univ. Ottawa, Ont., Canada", fjournal = "Numerische Mathematik", keywords = "Lyapunov methods; matrix algebra; numerical methods", } @Article{Marsaglia:1970:RCR, author = "George Marsaglia", title = "Regularities in congruential random number generators", journal = j-NUM-MATH, volume = "16", number = "1", pages = "8--10", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C7890 (Other special applications of computing)", corpsource = "Boeing Sci. Res. Labs., Seattle, WA, USA", fjournal = "Numerische Mathematik", keywords = "random number generation", } @Article{Cenacchi:1970:PNC, author = "G. Cenacchi and A. de Matteis", title = "Pseudo-random numbers for comparative {Monte Carlo} calculations", journal = j-NUM-MATH, volume = "16", number = "1", pages = "11--15", month = feb, year = "1970", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162402", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "To compare the results of two slightly different situations in a given problem solved by the Monte Carlo method it is convenient to use the same random numbers in both cases. To facilitate the reproducibility of the random numbers used a method based on two pseudo-random number generators may be adopted. In this paper the method is discussed with reference to multiplicative congruential generators, the influence of the initial value on a random sequence obtained by a given multiplier being examined first.", acknowledgement = ack-nhfb, classification = "C1140G (Monte Carlo methods); C7890 (Other special applications of computing)", corpsource = "CNEN, Bologna, Italy", fjournal = "Numerische Mathematik", keywords = "Monte Carlo methods; random number generation", } @Article{Rowland:1970:SBD, author = "John H. Rowland and James A. O'Donnell", title = "Some bounds for the deviation and interpolation points in {Chebyshev} approximation", journal = j-NUM-MATH, volume = "16", number = "1", pages = "16--21", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Wyoming, Laramie, WY, USA", fjournal = "Numerische Mathematik", keywords = "function approximation; interpolation", } @Article{Johnston:1970:CBI, author = "R. L. Johnston and B. T. Smith", title = "Calculation of best isolated {Gerschgorin} discs", journal = j-NUM-MATH, volume = "16", number = "1", pages = "22--31", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Bittner:1970:SRT, author = "L. Bittner", title = "Some representation theorems for functions and sets and their application to nonlinear programming", journal = j-NUM-MATH, volume = "16", number = "1", pages = "32--51", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Ernst-Moritz-Arndt-Univ., Greifswald, East Germany", fjournal = "Numerische Mathematik", keywords = "nonlinear programming", } @Article{Daniel:1970:SGC, author = "James W. Daniel", title = "A simple, global, complementary variational principle", journal = j-NUM-MATH, volume = "16", number = "1", pages = "52--57", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Cranley:1970:RMM, author = "R. Cranley and T. N. L. Patterson", title = "A regression method for the {Monte Carlo} evaluation of multidimensional integrals", journal = j-NUM-MATH, volume = "16", number = "1", pages = "58--72", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:37:06 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Deutsch:1970:MN, author = "Emeric Deutsch", title = "Matricial norms", journal = j-NUM-MATH, volume = "16", number = "1", pages = "73--84", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:37:38 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Martin:1970:ABS, author = "R. S. Martin and C. Reinsch and J. H. Wilkinson", title = "The {$QR$} algorithm for band symmetric matrices", journal = j-NUM-MATH, volume = "16", number = "2", pages = "85--92", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See also \cite[pp.~266--272]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Nat. Phys. Lab., Teddington, UK", fjournal = "Numerische Mathematik", keywords = "eigenvalues and eigenfunctions and matrix algebra", } @Article{Jamet:1970:MRN, author = "P. Jamet and P. Lascaux and P.-A. Raviart", title = "Une m{\'e}thode de r{\'e}solution num{\'e}rique des {\'e}quations de {Navier--Stokes}. ({French}) [{A} method of numerical solution of the {Navier--Stokes} equations]", journal = j-NUM-MATH, volume = "16", number = "2", pages = "93--114", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; Courant Friedrichs criteria; explicit decentered differences; linearisation; Navier Stokes equations; nonlinear terms discretisation; numerical methods; numerical solution; optimal stability; partial differential equations; stability", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Ciarlet:1970:DVG, author = "P. G. Ciarlet and R. S. Varga", title = "Discrete variational {Green}'s function", journal = j-NUM-MATH, volume = "16", number = "2", pages = "115--128", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Gaier:1970:SSA, author = "Dieter Gaier", title = "{Saturation bei Spline-Approximation und Quadratur}. ({German}) [{Saturation in spline approximation and quadrature}]", journal = j-NUM-MATH, volume = "16", number = "2", pages = "129--140", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:39:16 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", keywords = "approximated function; divergence; function approximation; polynomials; quadrature; saturation; spline approximation; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Householder:1970:NGI, author = "Alston S. Householder and Richard S. Varga and James H. Wilkinson", title = "A note on {Gerschgorin}'s inclusion theorem for eigenvalues of matrices", journal = j-NUM-MATH, volume = "16", number = "2", pages = "141--144", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Tennessee, Knoxville, TN, USA", fjournal = "Numerische Mathematik", keywords = "eigenvalues and eigenfunctions; matrix algebra", } @Article{Brent:1970:EAA, author = "R. P. Brent", title = "Error Analysis of Algorithms for Matrix Multiplication and Triangular Decomposition Using {Winograd}'s Identity", journal = j-NUM-MATH, volume = "16", number = "2", pages = "145--156", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{high:89b}", classification = "C4140 (Linear algebra)", corpsource = "Stanford Univ., CA, USA", fjournal = "Numerische Mathematik", keywords = "digital arithmetic; error analysis; fast algorithm; matrix algebra; matrix multiplication; nla; rounding error", } @Article{Allgower:1970:CPD, author = "E. L. Allgower", title = "Criteria for positive definiteness of some band matrices", journal = j-NUM-MATH, volume = "16", number = "2", pages = "157--162", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Colorado State Univ., CO, USA", fjournal = "Numerische Mathematik", keywords = "matrix algebra", } @Article{Lebaud:1970:LDA, author = "Colette Lebaud", title = "{L}'Algorithm double {$QR$} avec $<<$shift$>>$. ({French}) [{The} double {$QR$} algorithm with `shift']", journal = j-NUM-MATH, volume = "16", number = "2", pages = "163--180", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", fjournal = "Numerische Mathematik", keywords = "matrix algebra", language = "French", } @Article{Peters:1970:ERC, author = "G. Peters and J. H. Wilkinson", title = "Eigenvectors of Real and Complex Matrices by {$LR$} and {$QR$} Triangularization", journal = j-NUM-MATH, volume = "16", number = "3", pages = "181--204", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 372--395]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", fjournal = "Numerische Mathematik", keywords = "complex matrix; eig; eigenvalues and eigenfunctions; matrix algebra; nla; nonsymmetric matrix; software", } @Article{Rutishauser:1970:SIM, author = "H. Rutishauser", title = "Simultaneous iteration method for symmetric matrices", journal = j-NUM-MATH, volume = "16", number = "3", pages = "205--223", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Also in \cite[pp. 284--302]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", fjournal = "Numerische Mathematik", keywords = "eigenvalues and eigenfunctions; iterative methods; matrix algebra", } @Article{Fritsch:1970:NNS, author = "F. N. Fritsch", title = "On the number of nodes in self-contained integration formulas of degree two for compact planar regions", journal = j-NUM-MATH, volume = "16", number = "3", pages = "224--230", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", fjournal = "Numerische Mathematik", keywords = "integration", } @Article{Chow:1970:NSL, author = "T. S. Chow and H. W. Milnes", title = "Numerical solution of {Laplace} equation for annular region", journal = j-NUM-MATH, volume = "16", number = "3", pages = "231--242", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", fjournal = "Numerische Mathematik", keywords = "numerical analysis; partial differential equations", } @Article{Bacopoulos:1970:ASC, author = "Alex Bacopoulos", title = "On approximation by sums of {Chebyshev} norms", journal = j-NUM-MATH, volume = "16", number = "3", pages = "243--247", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", keywords = "Chebyshev approximation", } @Article{Meyer:1970:FIP, author = "G. H. Meyer", title = "On a free interface problem for linear ordinary differential equations and the one-phase {Stefan} problem", journal = j-NUM-MATH, volume = "16", number = "3", pages = "248--267", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; linear differential equations; numerical methods", } @Article{Curtis:1970:EOR, author = "A. R. Curtis", title = "An eighth order {Runge--Kutta} process with eleven function evaluations per step", journal = j-NUM-MATH, volume = "16", number = "3", pages = "268--277", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", fjournal = "Numerische Mathematik", keywords = "linear differential equations; predictor-corrector methods", } @Article{Ferreira:1970:ZMH, author = "Erasmo M. Ferreira and Javier Sesma", title = "Zeros of the modified {Hankel} function", journal = j-NUM-MATH, volume = "16", number = "3", pages = "278--284", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", fjournal = "Numerische Mathematik", keywords = "poles and zeros", } @Article{Bittner:1971:AVH, author = "L. Bittner", title = "{Absch{\"a}tzungen bei Variationsmethoden mit Hilfe von Dualit{\"a}tss{\"a}tzen. II}. ({German}) [{Bounds} of the Variational Method with the Aid of the Duality Principle. {II}]", journal = j-NUM-MATH, volume = "16", number = "4", pages = "285--303", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Carasso:1971:LRN, author = "Alfred Carasso", title = "Long-range numerical solution of mildly non-linear parabolic equations", journal = j-NUM-MATH, volume = "16", number = "4", pages = "304--321", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Univ. New Mexico, Albuquerque, NM, USA", fjournal = "Numerische Mathematik", keywords = "boundary value procedure; boundary-value problems; convergence; convergence of numerical methods; difference equations; error estimation; errors; estimation theory; iterative methods; long range numerical solution; mildly nonlinear parabolic equations; nonlinear equations; steady state solution", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1971:EBF, author = "Ivo Babu{\v{s}}ka", title = "Error-bounds for finite element method", journal = j-NUM-MATH, volume = "16", number = "4", pages = "322--333", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Univ. Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", keywords = "Dirichlet problem; error bounds; error estimation; errors; finite element methods; Hilher space; Laplace equation; Lipschitz domain; norms; numerical methods; solution approximation", treatment = "T Theoretical or Mathematical", } @Article{Brown:1971:DTC, author = "Kenneth M. Brown and William B. Gearhart", title = "Deflation techniques for the calculation of further solutions of a nonlinear system", journal = j-NUM-MATH, volume = "16", number = "4", pages = "334--342", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Cornell Univ., Ithaca, NY, USA", fjournal = "Numerische Mathematik", keywords = "deflation technique; further solutions calculation; minimisation; minimization; multiple root problems; nonlinear equations; nonlinear system of equations; numerical methods; theory", treatment = "T Theoretical or Mathematical", } @Article{Good:1971:CMN, author = "I. J. Good and R. A. Gaskins", title = "The centroid method of numerical integration", journal = j-NUM-MATH, volume = "16", number = "4", pages = "343--359", month = jan, year = "1971", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02165005", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "The midpoint method of integration of a function of one variable is perhaps the simplest method of numerical integration, although it is often not mentioned in textbooks. It is here generalized to any number of dimensions and the generalization is called thecentroid method. This again is a very simple method and it can be conveniently used, for example, for the integration of a function of several variables over any non-pathological region. The numerical examples include the integration of multinormal integrands.", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "State Univ., Blacksburg, VA, USA", fjournal = "Numerische Mathematik", keywords = "centroid method; integration; mid ordinate method; multinormal integrands; multivariable function integration; nonpathological region; numerical integration", treatment = "T Theoretical or Mathematical", } @Article{Businger:1971:MNS, author = "P. A. Businger", title = "Monitoring the numerical stability of {Gaussian} elimination", journal = j-NUM-MATH, volume = "16", number = "4", pages = "360--361", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Bell Telephone Labs., Murray Hill, NJ, USA", fjournal = "Numerische Mathematik", keywords = "complete pivoting; computational work; Gaussian elimination method; linear algebra; linear algebraic equations; numerical difficulties realisation test; numerical stability; partial pivoting; stability; stability monitoring", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1971:BCL, author = "J. H. Bramble and S. R. Hilbert", title = "Bounds for a class of linear functionals with applications to {Hermite} interpolation", journal = j-NUM-MATH, volume = "16", number = "4", pages = "362--369", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/o_ccd.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Cornell Univ., Ithaca, NY, USA", fjournal = "Numerische Mathematik", keywords = "bounds; estimation theorem; estimation theory; function approximation; Hermite interpolation; interpolation; linear functionals; N-dimensional interpolation; polynomials; pure partial derivatives; Sobolev spaces", treatment = "T Theoretical or Mathematical", } @Article{Chawla:1971:EEN, author = "M. M. Chawla", title = "Estimating errors of numerical approximation for analytic functions", journal = j-NUM-MATH, volume = "16", number = "4", pages = "370--374", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Householder:1971:GAS, author = "A. S. Householder", title = "Generalizations of an algorithm of {Sebasti{\~a}o e Silva}", journal = j-NUM-MATH, volume = "16", number = "4", pages = "375--382", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:37:01 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Gotze:1971:RSG, author = "H. G{\"o}tze and F. L. Bauer", title = "{Robert Sauer, geb. 16.9.1898 -- gest. 22.8.1970}. ({German}) {Robert Sauer, born 16.9.1898 -- died 22.8.1970}", journal = j-NUM-MATH, volume = "16", number = "4", pages = "i--ii", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Kambo:1971:EBL, author = "N. S. Kambo", title = "Error bounds for the {Lobatto} and {Radau} quadrature formulas", journal = j-NUM-MATH, volume = "16", number = "5", pages = "383--388", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Indian Inst. Technol., New Delhi, India", fjournal = "Numerische Mathematik", keywords = "analytic functions; error bounds; errors; integration; numerical integration; quadrature formula", treatment = "T Theoretical or Mathematical", } @Article{Kress:1971:ART, author = "Rainer Kre{\ss}", title = "{Ein ableitungsfreies Restglied f{\"u}r die trigonometrische Interpolation periodischer analytischer Funktionen}. ({German}) [{A derivative-free residue for the trigonometric interpolation of periodic analytic functions}]", journal = j-NUM-MATH, volume = "16", number = "5", pages = "389--396", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:33:47 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", keywords = "analogous condition; convergence; convergence of numerical methods; converges; derivative free residue; exponentially; interpolation; interpolation residue; mathematical techniques; periodic analytic functions; polynomial; polynomials; series of quadratic forms; trigonometric differentiation; trigonometric interpolation; upper bound", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Clendenin:1971:MNQ, author = "W. W. Clendenin", title = "A method for numerical quadrature over an infinite interval using systematically increasing mesh size", journal = j-NUM-MATH, volume = "16", number = "5", pages = "397--407", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C4190 (Other numerical methods)", corpsource = "Univ. California, Los Alamos, NM, USA", fjournal = "Numerische Mathematik", keywords = "computation of integrals; infinite interval; integration; numerical integration; numerical methods; numerical quadrature; quadrature formula; systematic increase of mesh size", treatment = "T Theoretical or Mathematical", } @Article{Young:1971:BOR, author = "David M. Young", title = "A bound for the optimum relaxation factor for the successive overrelaxation method", journal = j-NUM-MATH, volume = "16", number = "5", pages = "408--413", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65N05", MRnumber = "45 6208", MRreviewer = "N. Gastinel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4190 (Other numerical methods)", corpsource = "Univ. Texas, Austin, TX, USA", fjournal = "Numerische Mathematik", keywords = "bound for optimum relaxation factor; boundary value problems; boundary-value problems; differential equations; finite difference methods; linear systems; numerical methods; numerical solution; self adjoint differential equations; successive overrelaxation method", treatment = "T Theoretical or Mathematical", } @Article{Bartels:1971:SSM, author = "Richard H. Bartels", title = "A stabilization of the simplex method", journal = j-NUM-MATH, volume = "16", number = "5", pages = "414--434", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C4110 (Error analysis in numerical methods)", corpsource = "Univ. Texas, Austin, TX, USA", fjournal = "Numerische Mathematik", keywords = "computational stability; error analysis; linear programming; round off error analysis; simplex method; stability; stabilization", treatment = "T Theoretical or Mathematical", } @Article{Medley:1971:NPJ, author = "Helen I. Medley", title = "A note on a paper of {Johnston} and {Smith}'s concerning best isolated {Gerschgorin} disks", journal = j-NUM-MATH, volume = "16", number = "5", pages = "435--441", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Kent State Univ., OH, USA", fjournal = "Numerische Mathematik", keywords = "bound for eigenvalue; convergence of numerical methods; eigenvalues and eigenfunctions; isolated eigenvalues; isolated Gerschgorin disk; iterative methods; matrix algebra; Newton's method", } @Article{Kiyono:1971:BCS, author = "Takeshi Kiyono and Masaaki Shimasaki", title = "Boundary contraction solution of the {Neumann} and mixed boundary value problems of the {Laplace} equation", journal = j-NUM-MATH, volume = "16", number = "5", pages = "442--450", month = feb, year = "1971", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02169153", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4190 (Other numerical methods)", corpsource = "Kyoto Univ., Japan", fjournal = "Numerische Mathematik", keywords = "boundary contraction method; boundary-value problems; differential equations; Laplace equation; mixed boundary value problems; numerical methods; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Reinsch:1971:SSF, author = "Christian H. Reinsch", title = "Smoothing by spline functions. {II}", journal = j-NUM-MATH, volume = "16", number = "5", pages = "451--454", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; interpolation; smoothing by spline functions; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Leipnik:1971:RCR, author = "R. B. Leipnik", title = "Rapidly convergent recursive solution of quadratic operator equations", journal = j-NUM-MATH, volume = "17", number = "1", pages = "1--16", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Naval Weapons Center, China Lake, CA, USA", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; convergent recursive solution; matrix algebra; quadratic operator equations", treatment = "T Theoretical or Mathematical", } @Article{Oliver:1971:EEM, author = "J. Oliver", title = "The efficiency of extrapolation methods for numerical integration", journal = j-NUM-MATH, volume = "17", number = "1", pages = "17--32", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:53:09 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Essex, UK", fjournal = "Numerische Mathematik", keywords = "analytical study; automatic evaluation; definite integrals; extrapolation methods; integration; numerical integration; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Alefeld:1971:AFP, author = "G. Alefeld", title = "{Anwendungen Des Fixpunktsatzes F{\"u}r Pseudometrische R{\"a}ume In Der Intervallrechnung}. ({German}) [{Application of the fixed point theorem for pseudo-metric space to interval computation}]", journal = j-NUM-MATH, volume = "17", number = "1", pages = "33--39", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", fjournal = "Numerische Mathematik", keywords = "complex systems of equations; convergence; convergence of numerical methods; fixed point theorem; integral coefficients; interval computation; iterative methods; iterative processes; matrix; matrix algebra; pseudometric space", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Rowland:1971:IIP, author = "John H. Rowland", title = "Inequalities for the interpolation points in {Chebyshev} approximation by polynomials", journal = j-NUM-MATH, volume = "17", number = "1", pages = "40--44", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:53:03 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Wyoming, Laramie, WY, USA", fjournal = "Numerische Mathematik", keywords = "Chebyshev approximation; inequalities; interpolation points; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Thomee:1971:CNP, author = "Vidar Thom{\'e}e", title = "Convergence near plane boundaries of some elliptic difference schemes", journal = j-NUM-MATH, volume = "17", number = "1", pages = "45--53", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Univ. G{\"o}teborg, Sweden", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; differential equations; elliptic difference schemes; elliptic differential equations; second order type", treatment = "T Theoretical or Mathematical", } @Article{Roark:1971:ECI, author = "A. L. Roark", title = "On the eigenproblem for convolution integral equations", journal = j-NUM-MATH, volume = "17", number = "1", pages = "54--61", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Willson:1971:UGM, author = "A. N. {Willson, Jr.}", title = "A useful generalization of the {$P_0$} matrix concept", journal = j-NUM-MATH, volume = "17", number = "1", pages = "62--70", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Gastinel:1971:ENA, author = "N. Gastinel", title = "Sur l'extension de normes sur des alg{\`e}bres de matrices. ({French}) [{On} the Extension of Norms on Matrix Algebras]", journal = j-NUM-MATH, volume = "17", number = "1", pages = "71--83", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "French", } @Article{Ciarlet:1971:MTF, author = "P. G. Ciarlet and C. Wagschal", title = "Multipoint {Taylor} formulas and applications to the finite element method", journal = j-NUM-MATH, volume = "17", number = "1", pages = "84--100", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:53:27 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4190 (Other numerical methods)", corpsource = "Lab. Central des Ponts et Chauss{\'e}es, Paris, France", fjournal = "Numerische Mathematik", keywords = "applications; differential equations; finite element method; multipoint Taylor formulas; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Dieter:1971:EDS, author = "U. Dieter and J. Ahrens", title = "An exact determination of serial correlations of pseudo-random numbers", journal = j-NUM-MATH, volume = "17", number = "2", pages = "101--123", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Distributed/QLD.bib; Distributed/QLD/1971.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C7890 (Other special applications of computing)", corpsource = "Univ. Karlsruhe, West Germany", country = "D", date = "00/00/00", descriptors = "RNG; correlation;", enum = "777", fjournal = "Numerische Mathematik", keywords = "linear congruential methods; random number generation; serial correlations", location = "PKI-OG: Li-Ord.Le", references = "0", revision = "21/04/91", treatment = "T Theoretical or Mathematical", } @Article{Miranker:1971:DSB, author = "W. L. Miranker", title = "Difference schemes with best possible truncation error", journal = j-NUM-MATH, volume = "17", number = "2", pages = "124--142", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "IBM, Yorktown Heights, NY, USA", fjournal = "Numerische Mathematik", keywords = "difference scheme; hyperbolic system; initial value problem; numerical solution; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Kupka:1971:SRA, author = "I. Kupka", title = "{Simulation reeller Arithmetik und reeller Funktionen in endlichen Mengen}. ({German}) [{Simulation of real arithmetic and real functions in finite sets}]", journal = j-NUM-MATH, volume = "17", number = "2", pages = "143--152", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:38:39 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1220 (Simulation, modelling and identification); C4110 (Error analysis in numerical methods)", corpsource = "Univ. Hamburg, West Germany", fjournal = "Numerische Mathematik", keywords = "error estimation; errors; estimation theory; finite set; floating point arithmetic; real functions; simulation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Brezinski:1971:EAF, author = "C. Brezinski", title = "{\'E}tudes sur les $\epsilon$- et $\rho$-algorithmes. ({French}) [{Studies} on $\epsilon$ and $\rho$-algorithms]", journal = j-NUM-MATH, volume = "17", number = "2", pages = "153--162", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; epsilon algorithm; modification", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Brauer:1971:RPH, author = "Alfred Brauer", title = "A remark on the paper of {H. H. Schaefer, ``Absch{\"a}tzung der nichttrivialen Eigenwerte stochastischer Matrizen}''", journal = j-NUM-MATH, volume = "17", number = "2", pages = "163--165", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Knauer:1971:USE, author = "B. Knauer", title = "{Untere Schranken f{\"u}r die Eigenwerte positiv-definiter, selbstadjungierter Operatoren}. ({German}) [{Lower} Bounds for the Eigenvalues of Positive Definite Selfadjoint Operators]", journal = j-NUM-MATH, volume = "17", number = "2", pages = "166--171", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Reimer:1971:UWP, author = "Manfred Reimer", title = "{Untersuchungen {\"u}ber das Wachstrum von Potenzreihenabschnitten mit Anwendungen f{\"u}r das Hornerschema}. ({German}) [{Investigations of the growth of segments of polynomials with applications to {Horner}'s scheme}]", journal = j-NUM-MATH, volume = "17", number = "2", pages = "172--178", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Fri May 30 07:31:39 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Dortmund, West Germany", fjournal = "Numerische Mathematik", keywords = "applications; Horner's scheme; interpolation; investigation; polynomials; segments growth", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Dekker:1971:ASA, author = "T. J. Dekker and J. F. Traub", title = "An analysis of the shifted {$LR$} algorithm", journal = j-NUM-MATH, volume = "17", number = "3", pages = "179--188", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Bell Telephone Labs., Murray Hill, NJ, USA", fjournal = "Numerische Mathematik", keywords = "analyze generalized shift strategies; eigenvalues; generalizations of classical iterations; identity matrix; iterative methods; lower triangular; matrix algebra; matrix functions transform; nonlinear equations; shifted LR algorithm; square matrix; upper triangular", treatment = "T Theoretical or Mathematical", } @Article{Paardekooper:1971:EAS, author = "M. H. C. Paardekooper", title = "An eigenvalue algorithm for skew-symmetric matrices", journal = j-NUM-MATH, volume = "17", number = "3", pages = "189--202", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Tilburg School Economics, Netherlands", fjournal = "Numerische Mathematik", keywords = "eigenvalue algorithm; eigenvalues and eigenfunctions; eigenvalues and eigenvectors; elementary orthogonal transformations; initial matrix; iterative methods; Jacobi like algorithm; matrix algebra; Murnaghan form; Murnaghan's canonical form; process constructs iteratively; skew symmetric matrices", treatment = "T Theoretical or Mathematical", } @Article{Tanabe:1971:PMS, author = "Kunio Tanabe", title = "Projection Method for Solving a Singular System of Linear Equations and its Applications", journal = j-NUM-MATH, volume = "17", number = "3", pages = "203--214", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. Statistical Math., Minatoku, Tokyo, Japan", fjournal = "Numerische Mathematik", keywords = "complex matrix; determines the affine space; Gaussian elimination process; generalized inverse of a matrix; iterative improvement; iterative method; iterative methods; iterative procedure; Kaczmarz's method; linear equations; linear system; linear systems; matrix algebra; nla; projection method; singular system; solving system of linear equations; square and nonsingular", treatment = "T Theoretical or Mathematical", } @Article{Wuytack:1971:NTR, author = "L. Wuytack", title = "A new technique for rational extrapolation to the limit", journal = j-NUM-MATH, volume = "17", number = "3", pages = "215--221", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Gastinel:1971:CPM, author = "N. Gastinel", title = "Sur le calcul des produits de matrices. ({French}) [{Calculation} of the product of matrices]", journal = j-NUM-MATH, volume = "17", number = "3", pages = "222--229", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "French", } @Article{Kuttler:1971:FAE, author = "James R. Kuttler", title = "A finite-difference approximation for the eigenvalues of the clamped plate", journal = j-NUM-MATH, volume = "17", number = "3", pages = "230--238", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "John Hopkins Univ., Silver Spring, MD, USA", fjournal = "Numerische Mathematik", keywords = "biharmonic operator; bounded region; clamped plate; continuous eigenvalues and eigenvectors; convergence of numerical methods; convergence of the discrete eigenvalues and eigenvectors; difference operator of Bramble; discrete eigenvalues and eigenvectors; eigenproblem; eigenvalues; eigenvalues and eigenfunctions; finite difference analogue; finite difference approximation; perturbation technique", treatment = "T Theoretical or Mathematical", } @Article{Anderssen:1971:SAE, author = "R. S. Anderssen", title = "A stability analysis for the extended {Kantorovich} method applied to the torsion problem", journal = j-NUM-MATH, volume = "17", number = "3", pages = "239--246", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1320 (Stability in control theory); C4130 (Interpolation and function approximation)", corpsource = "Australian Nat. Univ., Canberra, Australia", fjournal = "Numerische Mathematik", keywords = "extended Kantorovich method; investigate numerically; iterative methods; iterative procedure; numerical methods; single term approximate variational representation; stability; stability analysis; stability result; torsion problem; unconditionally stable", treatment = "T Theoretical or Mathematical", } @Article{Bergman:1971:CCS, author = "S. Bergman and J. G. Herriot", title = "Computation of a class of subsonic flow patterns", journal = j-NUM-MATH, volume = "17", number = "3", pages = "247--252", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Burgmeier:1971:IET, author = "J. W. Burgmeier and R. D. Russell and L. F. Shampine", title = "Integral equations with transform kernels and the eigenproblem {$K C x = \lambda x$}", journal = j-NUM-MATH, volume = "17", number = "4", pages = "253--267", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Univ. New Mexico, Albuquerque, NM, USA", fjournal = "Numerische Mathematik", keywords = "computational procedure; integral equations; matrix eigenproblem", treatment = "T Theoretical or Mathematical", } @Article{Bosarge:1971:ICS, author = "W. E. {Bosarge, Jr.}", title = "Iterative continuation and the solution of nonlinear two-point boundary value problems", journal = j-NUM-MATH, volume = "17", number = "4", pages = "268--283", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "IBM Sci. Centre, Houston, TX, USA", fjournal = "Numerische Mathematik", keywords = "boundary value problems; boundary-value problems; numerical methods; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Schryer:1971:NMC, author = "N. L. Schryer", title = "{Newton}'s method for convex nonlinear elliptic boundary value problems", journal = j-NUM-MATH, volume = "17", number = "4", pages = "284--300", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Bell Telephone Labs., Murray Hill, NY, USA", fjournal = "Numerische Mathematik", keywords = "boundary value problem; boundary-value problems; numerical methods; solution", treatment = "T Theoretical or Mathematical", } @Article{Hadjidimos:1971:NSM, author = "A. Hadjidimos", title = "The numerical solution of a model problem biharmonic equation by using extrapolated alternating direction implicit methods", journal = j-NUM-MATH, volume = "17", number = "4", pages = "301--317", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Chatelin-Laborde:1971:PMH, author = "Fran{\c{c}}oise Chatelin-Laborde", title = "Perturbation d'une matrice hermitienne ou normale. ({French}) [{Perturbation} theory for {Hermitian} (normal) matrix]", journal = j-NUM-MATH, volume = "17", number = "4", pages = "318--337", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. Math. Appliqu{\'e}es, Grenoble, France", fjournal = "Numerische Mathematik", keywords = "eigen elements; eigenvalues and eigenfunctions; error bounds; Hermitian (normal) matrix; matrix algebra", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Robert:1971:AEO, author = "J. Robert", title = "Approximations des espace d'{Orlicz} et applications. ({French}) [{Approximations} of {Orlicz} spaces and their applications]", journal = j-NUM-MATH, volume = "17", number = "4", pages = "338--356", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", keywords = "applications; convergent approximations; exponential type; function approximation; Hammerstein type; integral equations; non linear integral equations; Orlicz spaces; partial differential equations", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Braess:1971:CAS, author = "Dietrich Braess", title = "{Chebyshev} approximation by spline functions with free knots", journal = j-NUM-MATH, volume = "17", number = "5", pages = "357--366", month = oct, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", keywords = "Chebyshev approximation; Descartes; Esch and Eastman; Fitzgerald; Johnson; Karlin; Meinardus and Schwedt; monosplines; spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Hulme:1971:PPT, author = "Bernie L. Hulme", title = "Piecewise polynomial {Taylor} methods for initial value problems", journal = j-NUM-MATH, volume = "17", number = "5", pages = "367--381", month = oct, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Sandia Labs., Albuquerque, NM, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; continuous analytic continuation; differentiability; differential equations; error bounds; first order ordinary differential equations; initial value problems; Loscalzo; mean value theorem; numerical methods; piecewise polynomial Taylor methods; polynomials; stability analysis; Taylor expansion; Taylor expansion method", treatment = "T Theoretical or Mathematical", } @Article{Noda:1971:NCM, author = "Takashi Noda", title = "Note on the Computation of the Maximal Eigenvalue of a Non-Negative Irreducible Matrix", journal = j-NUM-MATH, volume = "17", number = "5", pages = "382--386", month = oct, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Hitachi Ltd., Kawasaki, Japan", fjournal = "Numerische Mathematik", keywords = "convergence; eigenvalues and eigenfunctions; eigenvector; general matrices; iteration; iterative methods; Jordan form; matrix algebra; maximal eigenvalue; nonnegative irreducible matrix; subdominant; Wielandt's method", treatment = "T Theoretical or Mathematical", } @Article{Sreedharan:1971:LSA, author = "V. P. Sreedharan", title = "Least squares algorithms for finding solutions of overdetermined linear equations which minimize error in an abstract norm", journal = j-NUM-MATH, volume = "17", number = "5", pages = "387--401", month = oct, year = "1971", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01436088", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Michigan State Univ., East Lansing, MI, USA", fjournal = "Numerische Mathematik", keywords = "abstract norm; best fit solutions l/sup p/ norms; convergence; convergence of numerical methods; convex norm; least squares algorithms; least squares approximations; linear algebra; orthogonal projection; overdetermined linear equations", treatment = "T Theoretical or Mathematical", } @Article{Natterer:1971:SNG, author = "Frank Natterer", title = "{Schranken f{\"u}r die Norm der Greenschen Funktion gew{\"o}hnlicher Differentialoperatoren}. ({German}) [{Bounds} for the Norm of the {Green}'s Function of Ordinary Differential Operators ]", journal = j-NUM-MATH, volume = "17", number = "5", pages = "402--408", month = oct, year = "1971", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01436089", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:42:59 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Joubert:1971:EDAa, author = "G. R. Joubert", title = "Explicit difference approximations of the one-dimensional diffusion equation, using a smoothing technique", journal = j-NUM-MATH, volume = "17", number = "5", pages = "409--430", month = oct, year = "1971", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01436090", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:42:59 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Kulisch:1971:AAR, author = "U. Kulisch", title = "An axiomatic approach to rounded computations", journal = j-NUM-MATH, volume = "18", number = "1", pages = "1--17", month = feb, year = "1971", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01398455", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "The present paper is intended to give an axiomatic approach to rounded computations. A rounding is defined as a monotone mapping of an ordered set into a subset, which in general is called a lower respectively an upper screen. The first chapter deals with roundings in ordered sets. In the second chapter further properties of roundings in linearly ordered sets are studied. The third chapter deals with the two most important applications, the approximation of the real arithmetic on a finite screen and the approximation of the real interval arithmetic on an upper screen. Beyond these examples various further applications are possible.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Joubert:1971:EDAb, author = "G. R. Joubert", title = "Explicit Difference Approximations of {Du Fort--Frankel} Type for the One-Dimensional Diffusion Equation", journal = j-NUM-MATH, volume = "18", number = "1", pages = "18--25", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Stewart:1971:COA, author = "G. W. Stewart", title = "On a companion operator for analytic functions", journal = j-NUM-MATH, volume = "18", number = "1", pages = "26--43", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:12:42 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Galimberti:1971:SCV, author = "G. Galimberti and V. Pereyra", title = "Solving Confluent {Vandermonde} Systems of {Hermite} Type", journal = j-NUM-MATH, volume = "18", number = "1", pages = "44--60", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", fjournal = "Numerische Mathematik", keywords = "linear system; nla; Vandermonde matrix", } @Article{Hoshino:1971:SPD, author = "S. Hoshino and K. Ichida", title = "Solution of partial differential equations by a modified random walk", journal = j-NUM-MATH, volume = "18", number = "1", pages = "61--72", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Kyoto Univ., Japan", fjournal = "Numerische Mathematik", keywords = "difference equations; elliptic and parabolic partial differential equations; given boundary values; modified random walk; Monte Carlo methods; Monte Carlo technique; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Spijker:1971:SEE, author = "M. N. Spijker", title = "On the structure of error estimates for finite-difference methods", journal = j-NUM-MATH, volume = "18", number = "1", pages = "73--100", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Univ. Leiden, Netherlands", fjournal = "Numerische Mathematik", keywords = "boundary values; differential equation; differential equations; error analysis; error estimates; finite difference methods; local round off error; numerical solution; semilinear", treatment = "T Theoretical or Mathematical", } @Article{Hertling:1971:NTS, author = "J{\"o}rg Hertling", title = "Numerical treatment of singular integral equations by interpolation methods", journal = j-NUM-MATH, volume = "18", number = "2", pages = "101--112", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Tech. Hochschule Wien, Austria", fjournal = "Numerische Mathematik", keywords = "integral equations; interpolation; interpolation methods; linear; numerical treatment; piecewise polynomial interpolation; singular integral equations; spline interpolation", treatment = "T Theoretical or Mathematical", } @Article{Schafer:1971:KAL, author = "Eugen Sch{\"a}fer", title = "{Ein Konstruktionsverfahren bei allgemeiner linearer Approximation}. ({German}) [{A construction method for general linear approximation}]", journal = j-NUM-MATH, volume = "18", number = "2", pages = "113--126", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", keywords = "construction method; function approximation; geometrical interpretation; Haar subspace; linear approximation; modification", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Spellucci:1971:DPA, author = "P. Spellucci", title = "Double precision approximations to the elementary functions using {Jacobi}-fractions", journal = j-NUM-MATH, volume = "18", number = "2", pages = "127--143", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sat Oct 24 12:49:25 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C5230 (Digital arithmetic methods)", corpsource = "Univ. Ulm, West Germany", fjournal = "Numerische Mathematik", keywords = "arctangent; Chebyshev approximation; Chebyshev best fit approximations; cosine; digital arithmetic; elementary functions; error propagation; exponential; guard digits; natural logarithm; rational functions; sine", treatment = "T Theoretical or Mathematical", } @Article{Salzer:1971:FBE, author = "Herbert E. Salzer", title = "Formulas for best extrapolation", journal = j-NUM-MATH, volume = "18", number = "2", pages = "144--153", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", keywords = "confluent formulas; extrapolation; function approximation; interpolation; Lagrange Hermite; real function", treatment = "T Theoretical or Mathematical", } @Article{Lewin:1971:EPM, author = "Mordechai Lewin", title = "On exponents of primitive matrices", journal = j-NUM-MATH, volume = "18", number = "2", pages = "154--161", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Israel Inst. Technol., Haifa, Israel", fjournal = "Numerische Mathematik", keywords = "characterisation; exponents; matrix algebra; primitive matrices; sharp bounds", treatment = "T Theoretical or Mathematical", } @Article{Cooper:1971:EBN, author = "G. J. Cooper", title = "Error bounds for numerical solutions of ordinary differential equations", journal = j-NUM-MATH, volume = "18", number = "2", pages = "162--170", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:12:42 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C7300 (Natural sciences computing)", corpsource = "Univ. Sussex, Brighton, UK", fjournal = "Numerische Mathematik", keywords = "approximation defect; differential equations; eigenvalue; error analysis; error bounds; Jacobian matrix; Lipschitz constant; matrix algebra; numerical solutions; ordinary differential equations; Riccati equation; step length", treatment = "T Theoretical or Mathematical", } @Article{Carlson:1971:RAT, author = "R. E. Carlson and C. A. Hall", title = "{Ritz} approximations to two-dimensional boundary value problems", journal = j-NUM-MATH, volume = "18", number = "2", pages = "171--181", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Westinghouse Bettis Atomic Power Lab., West Mifflin, PA, USA", fjournal = "Numerische Mathematik", keywords = "boundary value problems; boundary-value problems; integral equations; partitioning; plane strain elasticity; polygonal domain; Ritz approximations; steady state heat flow; triangulation", treatment = "T Theoretical or Mathematical", } @Article{Deutsch:1971:IDE, author = "Eckart Deutsch and Christoph Zenger", title = "Inclusion domains for the eigenvalues of stochastic matrices", journal = j-NUM-MATH, volume = "18", number = "2", pages = "182--192", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Forschunginst. Funk and Math., Werthoven, West Germany", fjournal = "Numerische Mathematik", keywords = "eigenvalues; eigenvalues and eigenfunctions; inclusion domains; matrix algebra; stochastic matrices", treatment = "T Theoretical or Mathematical", } @Article{Pomentale:1971:CIM, author = "Tomaso Pomentale", title = "A class of iterative methods for holomorphic functions", journal = j-NUM-MATH, volume = "18", number = "3", pages = "193--203", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "CERN, Geneva, Switzerland", fjournal = "Numerische Mathematik", keywords = "descent property; holomorphic functions; iterative methods; polynomial", treatment = "T Theoretical or Mathematical", } @Article{Troch:1971:ISR, author = "Inge Troch", title = "{{\"U}ber die Stabilit{\"a}t der Ruhelage bei Differentialgleichungen mit quasihomogenen rechten Seiten}. ({German}) [{On the steady-state stability of differential equations with quasi-homogeneous right sides}]", journal = j-NUM-MATH, volume = "18", number = "3", pages = "204--212", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:42:12 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Tech. Hochschule, Wien, Austria", fjournal = "Numerische Mathematik", keywords = "criteria; differential equations; homogeneous right sides; quasihomogeneous; stability criteria; steady state stability", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Auslender:1971:MNP, author = "A. Auslender", title = "{M}{\'e}thodes num{\'e}riques pour la d{\'e}composition et la minimisation de fonctions non diff{\'e}rentiables. ({French}) [{Numerical} methods for the decomposition and minimisation of non-differentiable functions]", journal = j-NUM-MATH, volume = "18", number = "3", pages = "213--223", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C4190 (Other numerical methods)", fjournal = "Numerische Mathematik", keywords = "decomposition; Jacobi and Southwell method; minimisation; nondifferentiable functions; numerical methods; reflexive Banach spaces; successive overrelaxation", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Dekker:1971:FPT, author = "Theodorus J. Dekker", title = "A Floating-Point Technique for Extending the Available Precision", journal = j-NUM-MATH, volume = "18", number = "3", pages = "224--242", month = jun, year = "1971", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01397083", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "68A55", MRnumber = "45 8056", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", URL = "http://www-gdz.sub.uni-goettingen.de/cgi-bin/digbib.cgi?PPN362160546_0018", abstract = "A technique is described for expressing multilength floating-point arithmetic in terms of singlelength floating point arithmetic, i.e. the arithmetic for an available (say: single or double precision) floating-point number system. The basic algorithms are exact addition and multiplication of two singlelength floating-point numbers, delivering the result as a doublelength floating-point number. A straight-forward application of the technique yields a set of algorithms for doublelength arithmetic which are given as ALGOL 60 procedures.", acknowledgement = ack-nhfb # " and " # ack-nj, classification = "C5230 (Digital arithmetic methods)", corpsource = "Math. Centre, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", keywords = "accurate floating-point summation; ALGOL 60 procedures; available precision; digital arithmetic; double precision; multilength; single; single length floating point arithmetic; subroutines", remark = "Report MR 118/70, Computation Department, Mathematical Centre, Amsterdam. Part of this research was done while the author was visiting Bell Telephone Laboratories, Murray Hill, New Jersey.", treatment = "T Theoretical or Mathematical", } @Article{Prenter:1971:PS, author = "P. M. Prenter", title = "Piecewise {$L$}-splines", journal = j-NUM-MATH, volume = "18", number = "3", pages = "243--253", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Colorado State Univ., Fort Collins, CO, USA", fjournal = "Numerische Mathematik", keywords = "error estimates; extended error estimates; integral relations; L-splines; linear differential operator; normal linear differential operators; null space; one variable; piecewise fits; spline functions; splines (mathematics); uniformly bounded family", treatment = "T Theoretical or Mathematical", } @Article{Cannon:1971:CIS, author = "John J. Cannon", title = "Computing the ideal structure of finite semigroups", journal = j-NUM-MATH, volume = "18", number = "3", pages = "254--266", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:12:42 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4220 (Automata theory)", corpsource = "Univ. Sydney, NSW, Australia", fjournal = "Numerische Mathematik", keywords = "equivalence classes; finite automata; finite semigroup; Green relations; ideal structure", treatment = "T Theoretical or Mathematical", } @Article{Einarsson:1971:NTI, author = "Bo Einarsson", title = "Numerical treatment of integro-differential equations with a certain maximum property", journal = j-NUM-MATH, volume = "18", number = "3", pages = "267--288", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Res. Inst. Nat. Defense, Tumba, Sweden", fjournal = "Numerische Mathematik", keywords = "discretization; error estimations; initial value problem; integro-differential equations; integrodifferential equations; logarithmic norm; maximum norm; maximum points; maximum property; numerical solution; ordinary differential equations; space variable integration; time variable differentiation; weighted Euclidean norm", treatment = "T Theoretical or Mathematical", } @Article{Brown:1972:DFA, author = "Kenneth M. Brown and J. E. {Dennis, Jr.}", title = "Derivative free analogues of the {Levenberg--Marquardt} and {Gauss} algorithms for nonlinear least squares approximation", journal = j-NUM-MATH, volume = "18", number = "4", pages = "289--298", month = aug, year = "1972", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01404679", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "In this paper we give two derivative-free computational algorithms for nonlinear least squares approximation. The algorithms are finite difference analogues of the Levenberg-Marquardt and Gauss methods. Local convergence theorems for the algorithms are proven. In the special case when the residuals are zero at the minimum, we show that certain computationally simple choices of the parameters lead to quadratic convergence. Numerical examples are included.", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Minnesota, Minneapolis, MN, USA", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; derivative free analogues; finite difference analogues; Gauss method; least squares approximations; Levenberg Marquardt method; local convergence theorems; nonlinear least squares approximation; quadratic convergence; residuals; zero", treatment = "T Theoretical or Mathematical", } @Article{King:1972:TMN, author = "Richard F. King", title = "Tangent methods for nonlinear equations", journal = j-NUM-MATH, volume = "18", number = "4", pages = "298--304", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Argonne Nat. Lab., IL, USA", fjournal = "Numerische Mathematik", keywords = "alternate function; derivative values; hybrid methods; Muller's method; nonlinear equations; numerical methods; secant; tangent methods", treatment = "T Theoretical or Mathematical", } @Article{Gargantini:1972:CAD, author = "Irene Gargantini and Peter Henrici", title = "Circular arithmetic and the determination of polynomial zeros", journal = j-NUM-MATH, volume = "18", number = "4", pages = "305--320", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Univ. Western Ontario, London, Ont., Canada", fjournal = "Numerische Mathematik", keywords = "circular arithmetic; cubically convergent algorithm; determination; error bounds; extended complex plane; interval arithmetic; locating zeros; logarithmic derivative; M{\"o}bius transformations; Newton's method; numerical methods; poles and zeros; polynomial zeros; polynomials; simultaneous approximation; transcendental functions", treatment = "T Theoretical or Mathematical", } @Article{Barker:1972:MN, author = "George Phillip Barker", title = "Monotone norms", journal = j-NUM-MATH, volume = "18", number = "4", pages = "321--326", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Missouri, Kansas City, KS, USA", fjournal = "Numerische Mathematik", keywords = "dual; linear algebra; monotone norms; nonnegative orthant; partially ordered finite dimensional real spaces; subordinate matrix norm", treatment = "T Theoretical or Mathematical", } @Article{Tsuda:1972:NDF, author = "Takao Tsuda", title = "Numerical differentiation of functions of very many variables", journal = j-NUM-MATH, volume = "18", number = "4", pages = "327--335", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Kyoto Univ., Japan", fjournal = "Numerische Mathematik", keywords = "arbitrary points; differentiation; multidimensional space; multivariable functions; nonlinear interpolation; numerical differentiation; random processes; random samplings", treatment = "T Theoretical or Mathematical", } @Article{Schryer:1972:SMN, author = "N. L. Schryer", title = "Solution of monotone nonlinear elliptic boundary value problems", journal = j-NUM-MATH, volume = "18", number = "4", pages = "336--344", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Bell Telephone Labs. Inc., Murray Hill, NJ, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; descent technique; linear uniformly elliptic second order operator; monotone nonlinear elliptic boundary value problems; Newton's method; nonlinear differential equations; partial differential equations; quadratic convergence; sequence of iterates", treatment = "T Theoretical or Mathematical", } @Article{Riess:1972:EEC, author = "R. D. Riess and L. W. Johnson", title = "Error estimates for {Clenshaw--Curtis} quadrature", journal = j-NUM-MATH, volume = "18", number = "4", pages = "345--353", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Virginia Polytech. Inst., Blacksburg, VA, USA", fjournal = "Numerische Mathematik", keywords = "analytic; bounding; Chebyshev approximation; Chebyshev polynomial; Clenshaw Curtis quadrature; closed formula; elliptic disc; error analysis; error estimates; integration; interpolation; low order continuity; second kind; square integrable; zeros", treatment = "T Theoretical or Mathematical", } @Article{Hubner:1972:ZUG, author = "Otto H{\"u}bner", title = "{Zweiparametrige {\"U}berrelaxation}. ({German}) [{Two parameter overrelaxation}]", journal = j-NUM-MATH, volume = "18", number = "4", pages = "354--366", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:43:14 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Justusliebig-Univ., Giessen, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; eigenvalues; matrix; matrix algebra; pure imaginary; real; SOR; successive overrelaxation; two parameter overrelaxation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Pietrzykowski:1972:GPM, author = "Tomasz Pietrzykowski", title = "A generalization of the potential method for conditional maxima on the {Banach}, reflexive spaces", journal = j-NUM-MATH, volume = "18", number = "4", pages = "367--372", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Waterloo, Ont., Canada", fjournal = "Numerische Mathematik", keywords = "Banach reflexive space; conditional maxima; constrained maximum; convergence; convergence of numerical methods; linear algebra; local nonsingular maximum; locally concave functional; locally convex set; potential method; unconstrained maxima", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1972:AFP, author = "Walter Gautschi", title = "Attenuation factors in practical {Fourier} analysis", journal = j-NUM-MATH, volume = "18", number = "5", pages = "373--400", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Purdue Univ., Lafayette, IN, USA", fjournal = "Numerische Mathematik", keywords = "2 pi periodic function; attenuation factors; Fourier analysis; function approximation; interpolation; linearity; piecewise polynomial; time honoured procedure; translation invariance; trapezoidal rule approximation", treatment = "T Theoretical or Mathematical", } @Article{Rokne:1972:NMU, author = "Jon Rokne", title = "{Newton}'s method under mild differentiability conditions with error analysis", journal = j-NUM-MATH, volume = "18", number = "5", pages = "401--412", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Univ. Calgan, Alta., Canada", fjournal = "Numerische Mathematik", keywords = "computational errors; convergence; convergence of numerical methods; differential equations; error analysis; Frechet derivative; Holder continuous; majorizing sequences; mild differentiability conditions; Newton's method; operator equations; second order differential equation", treatment = "T Theoretical or Mathematical", } @Article{Hadeler:1972:BGG, author = "K. P. Hadeler", title = "{Bemerkungen zum Gradientenverfahren}. ({German}) [{Remarks on gradient methods}]", journal = j-NUM-MATH, volume = "18", number = "5", pages = "413--422", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:44:19 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C4190 (Other numerical methods)", corpsource = "Univ. Tubingen, West Germany", fjournal = "Numerische Mathematik", keywords = "arbitrary initial values; convergence; convergence of numerical methods; gradient; gradient methods; Hilbert space; iterative methods; monotonicity theorems; Newton; optimisation; steepest descent; unconstrained optimization", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Werner:1972:FRI, author = "Helmut Werner", title = "{Eine faktorisierung der bei der rationalen Interpolation auftretenden Matrizen}. ({German}) [{A factorization of matrices occurring in rational interpolation}]", journal = j-NUM-MATH, volume = "18", number = "5", pages = "423--431", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:48:19 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. Numerische Instrumentelle Mathematik, M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", keywords = "coefficients; explicit formula; factorization of matrices; interpolation; matrix algebra; matrix representation; numerical methods; rational interpolation; Wetterling algorithm", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Sack:1972:FSR, author = "R. A. Sack", title = "A fully stable rational version of the {$QR$} algorithm for tridiagonal matrices", journal = j-NUM-MATH, volume = "18", number = "5", pages = "432--441", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Salford, UK", fjournal = "Numerische Mathematik", keywords = "convergence criterion; convergence of numerical methods; eigenvalue; eigenvalues and eigenfunctions; iterations; iterative methods; matrix algebra; perturbation estimation; precision; QR algorithm; stability; tridiagonal matrices; virtual origin shifts", treatment = "T Theoretical or Mathematical", } @Article{Weiss:1972:PIM, author = "R. Weiss and R. S. Anderssen", title = "A product integration method for a class of singular first kind {Volterra} equations", journal = j-NUM-MATH, volume = "18", number = "5", pages = "442--456", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Australian National Univ., Canberra, Australia", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; existence theorem of Kowalewski; integral equations; kernels; Lipschitz continuous first derivative; midpoint product integration method; product integration method; singular first kind Volterra equations", treatment = "T Theoretical or Mathematical", } @Article{Morris:1972:ITS, author = "Wm. L. Morris", title = "Inclusion theorems for a section of a matrix", journal = j-NUM-MATH, volume = "18", number = "5", pages = "457--464", month = oct, year = "1972", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01406682", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "Theorems relating the eigensystem of a matrix to a so-called section of the matrix are given. These results are applicable in analysing a class of algorithms to solve $A x = \lambda x$.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Houston, TX, USA", fjournal = "Numerische Mathematik", keywords = "eigensystem; eigenvalues and eigenfunctions; inclusion theorems; matrix; matrix algebra; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Sack:1972:AGQ, author = "R. A. Sack and A. F. Donovan", title = "An algorithm for {Gaussian} quadrature given modified moments", journal = j-NUM-MATH, volume = "18", number = "5", pages = "465--478", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Salford, UK", fjournal = "Numerische Mathematik", keywords = "3 term recurrence relations; algebraic; ALGOL procedure; Christoffel weights; co-diagonal matrix; convergence; convergence of numerical methods; eigenvalues; Gaussian quadrature; Given's method; integration; long quotient modified difference algorithm; modified moments; one dimensional product integral; polynomials; weight function", treatment = "T Theoretical or Mathematical", } @Article{Russell:1972:CMB, author = "R. D. Russell and L. F. Shampine", title = "A collocation method for boundary value problems", journal = j-NUM-MATH, volume = "19", number = "1", pages = "1--28", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Colorado State Univ., Fort Collins, CO, USA", fjournal = "Numerische Mathematik", keywords = "boundary value problems; boundary-value problems; collocation method; convergence; convergence of numerical methods; piecewise polynomial functions", treatment = "T Theoretical or Mathematical", } @Article{Amann:1972:NLN, author = "Herbert Amann", title = "{{\"U}ber die n{\"a}hrungswise L{\"o}sung nichtlinearer Integralgleichungen}. ({German}) [{On the approximate solution of nonlinear integral equations}]", journal = j-NUM-MATH, volume = "19", number = "1", pages = "29--45", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:53:09 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Ruhr Univ., Bochum, West Germany", fjournal = "Numerische Mathematik", keywords = "approximate solution; Hammerstein; Hilbert space; integral equations; iteration method; iterative methods; Newton's method; nonlinear equations; nonlinear integral equations", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Askey:1972:PCN, author = "Richard Askey", title = "Positivity of the {Cotes} numbers for some {Jacobi} abscissas", journal = j-NUM-MATH, volume = "19", number = "1", pages = "46--48", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", keywords = "Cotes numbers; integration; Jacobi abscissas; polynomials; positivity; quadrature schemes", treatment = "T Theoretical or Mathematical", } @Article{vanderSluis:1972:RTQ, author = "A. van der Sluis", title = "The remainder term in quadrature formulae", journal = j-NUM-MATH, volume = "19", number = "1", pages = "49--55", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Rijksuniv. Utrecht, Netherlands", fjournal = "Numerische Mathematik", keywords = "integration; numerical methods; quadrature formulae; remainder term; Simpson's rule; step size", treatment = "T Theoretical or Mathematical", } @Article{Alefeld:1972:IZN, author = "G. Alefeld and J. Herzberger", title = "{Nullstelleneinschliessung Mit Dem Newton-Verfahren Ohne Invertierung Von Intervallmatrizen}. ({German}) [{Including zeros of nonlinear equations by the Newton method without inverting interval matrices}]", journal = j-NUM-MATH, volume = "19", number = "1", pages = "56--64", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Univ. Karlsruhe, West Germany", fjournal = "Numerische Mathematik", keywords = "interval arithmetic; Newton method; nonlinear equations; poles and zeros; zeros", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Lyche:1972:CMM, author = "Tom Lyche", title = "{Chebyshevian} multistep methods for ordinary differential equations", journal = j-NUM-MATH, volume = "19", number = "1", pages = "65--75", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Univ. Texas, Austin, TX, USA", fjournal = "Numerische Mathematik", keywords = "Chebyshev approximation; Chebyshevian multistep methods; differential equations; exact integration; ordinary differential equations; smooth stepsize dependent coefficients", treatment = "T Theoretical or Mathematical", } @Article{Brenner:1972:PMS, author = "J. L. Brenner and J. de Pillis", title = "Partitioned matrices and {Seidel} convergence", journal = j-NUM-MATH, volume = "19", number = "1", pages = "76--80", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. California, Riverside, CA, USA", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; iteration; iterative methods; matrix algebra; partitioned matrices; proof; Seidel convergence", treatment = "T Theoretical or Mathematical", } @Article{Strang:1972:AFE, author = "Gilbert Strang", title = "Approximation in the finite element method", journal = j-NUM-MATH, volume = "19", number = "1", pages = "81--98", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "MIT, Cambridge, MA, USA", fjournal = "Numerische Mathematik", keywords = "approximation; convergence of numerical methods; finite element method; function approximation; rate of convergence", treatment = "T Theoretical or Mathematical", } @Article{Blair:1972:EBS, author = "J. J. Blair", title = "Error bounds for the solution of nonlinear two-point boundary value problems by {Galerkin}'s method", journal = j-NUM-MATH, volume = "19", number = "2", pages = "99--109", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "EG and G Inc., Las Vegas, NV, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; differential equation; elliptic differential operator; error analysis; error bounds; Galerkin's method; nonlinear differential equations; nonlinear two point boundary value problems; numerical methods; polynomial spline trial functions", treatment = "T Theoretical or Mathematical", } @Article{Carroll:1972:SAC, author = "M. P. Carroll", title = "Simultaneous {$L_1$} approximation of a compact set of real-valued functions", journal = j-NUM-MATH, volume = "19", number = "2", pages = "110--115", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Rensselaer Polytech. Inst., Troy, NY, USA", fjournal = "Numerische Mathematik", keywords = "Chebyshev approximation; function approximation; L/sub 1/ compact set; polynomials; real valued functions; simultaneous Chebyshev approximation; uniqueness results", treatment = "T Theoretical or Mathematical", } @Article{Antes:1972:SLI, author = "Heinz Antes", title = "{Splinefunktionen bei der L{\"o}sung von Integralgleichungen}. ({German}) [{On the solution of integral equations with spline functions}]", journal = j-NUM-MATH, volume = "19", number = "2", pages = "116--126", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:54:00 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "T. H. Aachen, West Germany", fjournal = "Numerische Mathematik", keywords = "error analysis; estimation; integral equations; interpolation; interpolation spline; linear algebraic equations; numerical error; numerical method; numerical methods; spline functions; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Fix:1972:FEA, author = "G. Fix and N. Nassif", title = "On finite element approximations to time-dependent problems", journal = j-NUM-MATH, volume = "19", number = "2", pages = "127--135", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Harvard Univ., Cambridge, MA, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; difference quotients; dissipative initial value problems; error analysis; error bounds; error estimates; finite element approximations; initial value Cauchy problem; numerical methods; partial differential equations; spline semidiscrete approximations; splines (mathematics); time dependent problems", treatment = "T Theoretical or Mathematical", } @Article{Tissier:1972:IPV, author = "Gilles Tissier", title = "Interpolation {\`a} plusieurs variables sur la sph{\`e}re. ({French}) [{Interpolation} with several variables on the sphere]", journal = j-NUM-MATH, volume = "19", number = "2", pages = "136--145", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "IUT Depart. Informatique, Nancy, France", fjournal = "Numerische Mathematik", keywords = "approximation; error bounds; function approximation; interpolation; periodic function; quadrature; trigonometric functions", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Golitschek:1972:CIP, author = "M. v. Golitschek", title = "On the convergence of interpolating periodic spline functions of high degree", journal = j-NUM-MATH, volume = "19", number = "2", pages = "146--154", month = apr, year = "1972", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01402525", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "Let the spline function $S_m$ of degree $2 m 0 1$ and period $1$ be the unique solution of the interpolation problem in $\S 1$. An interesting question was posed by Schoenberg [1], p. 125: What happens to $S_m$ if we let $m \to \infty$? In this paper, we prove that the spline functions $S_m$ and their derivatives converge for $m \to \infty$ to a well determined trigonometric polynomial and its derivatives. Estimates for the rate of convergence are given.", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Wurzburg, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; high degree; interpolating periodic spline functions; interpolation; splines (mathematics); trigonometric polynomial", treatment = "T Theoretical or Mathematical", } @Article{Pierce:1972:HOC, author = "J. G. Pierce and R. S. Varga", title = "Higher order convergence results for the {Rayleigh--Ritz} method applied to eigenvalue problems. {II}. Improved error bounds for eigenfunctions", journal = j-NUM-MATH, volume = "19", number = "2", pages = "155--169", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Southern California, Los Angeles, CA, USA", fjournal = "Numerische Mathematik", keywords = "approximating; convergence of numerical methods; eigenfunctions; eigenvalue problems; eigenvalues and eigenfunctions; error analysis; error bounds; error estimates; Galerkin approximation; higher order convergence results; Rayleigh Ritz method; uniform norms", treatment = "T Theoretical or Mathematical", } @Article{Kellogg:1972:CEM, author = "R. B. Kellogg", title = "On compiles eigenvalues of {$M$} and {$P$} matrices", journal = j-NUM-MATH, volume = "19", number = "2", pages = "170--175", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", keywords = "complex eigenvalues; eigenvalues and eigenfunctions; inequalities; M and P matrices; matrix algebra; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Wilkinson:1972:NMV, author = "J. H. Wilkinson", title = "Note on matrices with a very ill-conditioned eigenproblem", journal = j-NUM-MATH, volume = "19", number = "2", pages = "176--178", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Nat. Phys. Lab., Teddington, UK", fjournal = "Numerische Mathematik", keywords = "eigenvalues and eigenfunctions; eigenvectors; ill conditioned eigenproblem; matrices; matrix algebra; multiple eigenvalue; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Gaier:1972:EKM, author = "Dieter Gaier", title = "{Ermittlung des konformen Moduls von Vierecken mit Differenzenmethoden}. ({German}) [{Determination of the conformal modules of quadrilaterals by difference methods}]", journal = j-NUM-MATH, volume = "19", number = "2", pages = "179--194", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis)", corpsource = "Univ. Giessen, West Germany", fjournal = "Numerische Mathematik", keywords = "conformal modules; difference methods; Dirichlet integral; discretely harmonic function; function evaluation; mesh points; numerical methods; quadrilaterals", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Beyer:1972:ECC, author = "W. A. Beyer and M. S. Waterman", title = "Ergodic computations with continued fractions and {Jacobi}'s algorithm", journal = j-NUM-MATH, volume = "19", number = "3", pages = "195--205", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See errata \cite{Beyer:1972:EEC}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Lancaster:1972:NSM, author = "P. Lancaster", title = "A note on sub-multiplicative norms", journal = j-NUM-MATH, volume = "19", number = "3", pages = "206--208", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Zenger:1972:CSB, author = "Christoph Zenger", title = "A comparison of some bounds for the nontrivial eigenvalues of stochastic matrices", journal = j-NUM-MATH, volume = "19", number = "3", pages = "209--211", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:13:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Steinberg:1972:NSV, author = "J. Steinberg", title = "Numerical solution of {Volterra} integral equation", journal = j-NUM-MATH, volume = "19", number = "3", pages = "212--217", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Technion, Israel Inst. Technol., Haifa, Israel", fjournal = "Numerische Mathematik", keywords = "asymptotic behaviour; error analysis; Gregory's formula; integral equations; magnitude; numerical methods; numerical solution; recursive inequalities; second type; truncation error; Volterra integral equation", treatment = "T Theoretical or Mathematical", } @Article{Guderley:1972:BTC, author = "K. G. Guderley and C. L. Keller", title = "A basic theorem in the computation of ellipsoidal error bounds", journal = j-NUM-MATH, volume = "19", number = "3", pages = "218--229", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Engels:1972:KND, author = "Hermann Engels", title = "{{\"U}ber Konvergenzkriterien f{\"u}r numerische Differentiationsverfahren}. ({German}) [{On convergence criteria for numerical differentiation procedures}]", journal = j-NUM-MATH, volume = "19", number = "3", pages = "230--237", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:42:12 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Kernforschungsanlage Julich GmbH, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence criteria; convergence of numerical methods; differentiation; necessary condition; numerical differentiation procedures; pointwise convergence; sufficient condition", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Johnston:1972:CIR, author = "R. L. Johnston and D. D. Olesky", title = "On the computation of inclusion regions for partitioned matrices", journal = j-NUM-MATH, volume = "19", number = "3", pages = "238--247", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Atkinson:1972:NSF, author = "Kendall Atkinson", title = "The numerical solution of {Fredholm} integral equations of the second kind with singular kernels", journal = j-NUM-MATH, volume = "19", number = "3", pages = "248--259", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Indiana Univ., Bloomington, IN, USA", fjournal = "Numerische Mathematik", keywords = "boundary value problems; Fredholm integral equations; integral equations; numerical methods; numerical solution; product integration; second kind; singular kernels", treatment = "T Theoretical or Mathematical", } @Article{Hadeler:1972:BAW, author = "K. P. Hadeler", title = "{Bemerkungen zu einer Arbeit von W. Wetterling {\"u}ber positive Operatoren}. ({German}) [{Remarks on a work by W. Wetterling on positive operators}]", journal = j-NUM-MATH, volume = "19", number = "3", pages = "260--265", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:52:18 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Dailey:1972:EBG, author = "J. W. Dailey and J. G. Pierce", title = "Error bounds for the {Galerkin} method applied to singular and nonsingular boundary value problems", journal = j-NUM-MATH, volume = "19", number = "3", pages = "266--282", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Kent State Univ., OH, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; differential equations; error analysis; error bounds; Galerkin method; L/sup 2/; N-norm projection; numerical methods; singular and nonsingular boundary value problems; uniform norm error estimates", treatment = "T Theoretical or Mathematical", } @Article{Field:1972:PET, author = "David A. Field and Willson B. Jones", title = "{\em A priori\/} estimates for truncation error of continued fractions {$K(1/b_n)$}", journal = j-NUM-MATH, volume = "19", number = "4", pages = "283--302", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C5230 (Digital arithmetic methods)", corpsource = "Coll. Holy Cross, Worcester, MA, USA", fjournal = "Numerische Mathematik", keywords = "a priori estimates; complex elements; complex logarithm; continued fractions; digital arithmetic; error analysis; error estimates; K(1/b/sub n/); numerical methods; ratio of consecutive Bessel functions; truncation error", treatment = "T Theoretical or Mathematical", } @Article{Robert:1972:NAA, author = "F. Robert and J. F. Maitre", title = "Normes et algorithmes associ{\'e}s {\`a} une d{\'e}coupe de matrice (It{\'e}ration du principe de {Gauss--Seidel}). ({French}) [{Norms} and algorithms associated with a splitting of matrix (Iteration of the {Gauss--Seidel} principle)]", journal = j-NUM-MATH, volume = "19", number = "4", pages = "303--325", month = aug, year = "1972", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01404878", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Lyon I, Villeurbanne, France", fjournal = "Numerische Mathematik", keywords = "coherent; compatible; convergence of iterations; Gauss Seidel principle; iteration; iterative methods; matrix algebra; norms; splitting of matrix", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Melkes:1972:RPB, author = "Franti{\v{s}}ek Melkes", title = "Reduced piecewise bivariate {Hermite} interpolations", journal = j-NUM-MATH, volume = "19", number = "4", pages = "326--340", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Res. and Dev. Inst., Brno, Czechoslovakia", fjournal = "Numerische Mathematik", keywords = "differential equations; elementary rectangle; general quasilinear equation; integral equations; interpolation; nonlinear integral equation; reduced piecewise bivariate Hermite interpolations", treatment = "T Theoretical or Mathematical", } @Article{Robinson:1972:ENM, author = "Stephen M. Robinson", title = "Extension of {Newton}'s method to nonlinear functions with values in a cone", journal = j-NUM-MATH, volume = "19", number = "4", pages = "341--347", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Univ. Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; convergence results; error analysis; error bounds; extension; Kantorovich theorem; Newton's method; nonempty closed convex cone; nonlinear functions; numerical methods; optimisation; reflexive Banach space; values", treatment = "T Theoretical or Mathematical", } @Article{Bereanu:1972:CCM, author = "Bernard Bereanu", title = "On the convergence of {Cartesian} multidimensional quadrature formulae", journal = j-NUM-MATH, volume = "19", number = "4", pages = "348--350", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Center Math. Statistics, Acad. Bucharest, Romania", fjournal = "Numerische Mathematik", keywords = "Cartesian multidimensional quadrature formulae; convergence; convergence of numerical methods; integration", treatment = "T Theoretical or Mathematical", } @Article{Gekeler:1972:MIL, author = "Eckart Gekeler", title = "{{\"U}ber mehrstufige Iterationsverfahren und die L{\"o}sung der Hammersteinschen Gleichung}. ({German}) [{On several stage iterative methods and the solution of the {Hammerstein} equations}]", journal = j-NUM-MATH, volume = "19", number = "4", pages = "351--360", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:20:09 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Univ. Mannheim, West Germany", fjournal = "Numerische Mathematik", keywords = "asymptotically optimal; Hammerstein equations; integral equations; iterative methods; numerical solution; several stage iterative methods; two step iterative method", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Kemper:1972:LMM, author = "Gene A. Kemper", title = "Linear multistep methods for a class of functional differential equations", journal = j-NUM-MATH, volume = "19", number = "5", pages = "361--372", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Iowa State Univ., Iowa City, IA, USA", fjournal = "Numerische Mathematik", keywords = "approximate solution; differential equations; fixed delays; functional differential equations; functional equations; linear multistep methods; variable delays", treatment = "T Theoretical or Mathematical", } @Article{Paget:1972:ANE, author = "D. F. Paget and David Elliott", title = "An algorithm for the numerical evaluation of certain {Cauchy} principal value integrals", journal = j-NUM-MATH, volume = "19", number = "5", pages = "373--385", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Tasmania, Hobart, Tas., Australia", fjournal = "Numerische Mathematik", keywords = "Cauchy principal value integrals; integration; numerical evaluation", treatment = "T Theoretical or Mathematical", } @Article{Brown:1972:IGR, author = "H. Brown and J. Neub{\"u}ser and H. Zassenhaus", title = "On integral groups. {I}: {The} reducible case", journal = j-NUM-MATH, volume = "19", number = "5", pages = "386--399", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C5230 (Digital arithmetic methods)", corpsource = "Ohio State Univ., Columbus, OH, USA", fjournal = "Numerische Mathematik", keywords = "integral groups; number theory; reducible case; reducible integral matrix groups", treatment = "T Theoretical or Mathematical", } @Article{Pichat:1972:CSA, author = "M. Pichat", title = "Correction d'une Somme en Arithm{\'e}tique {\`a} Virgule Flottante. ({French}) [{Correction} of a Sum in Floating-Point Arithmetic]", journal = j-NUM-MATH, volume = "19", number = "5", pages = "400--406", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C5230 (Digital arithmetic methods)", corpsource = "Conservatoire Nat. Arts Metiers, Paris, France", fjournal = "Numerische Mathematik", keywords = "correction; digital arithmetic; floating point arithmetic; rounding off law; sum; truncature with guard digit", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Forster:1972:DGF, author = "Peter Forster", title = "{Die diskrete Greensche Funktion und Fehlerabsch{\"a}tzungen zum Galerkin-Verfahren}. ({German}) [{Discrete variational {Green}'s function and error bounds for {Galerkin} approximations}]", journal = j-NUM-MATH, volume = "19", number = "5", pages = "407--418", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:24:00 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Tech. Univ., Hannover, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary value problems; boundary-value problems; differential equations; discrete variational Green's function; error analysis; error bounds; Galerkin approximations; ordinary differential equations", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Hunter:1972:SGF, author = "D. B. Hunter", title = "Some {Gauss-type} formulae for the evaluation of {Cauchy} principal values of integrals", journal = j-NUM-MATH, volume = "19", number = "5", pages = "419--424", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Bradford, UK", fjournal = "Numerische Mathematik", keywords = "Cauchy principal values of integrals; Gauss Legendre quadrature; Gauss type formulae; integration; numerical evaluation", treatment = "T Theoretical or Mathematical", } @Article{Miller:1972:SFN, author = "Webb Miller", title = "On the stability of finite numerical procedures", journal = j-NUM-MATH, volume = "19", number = "5", pages = "425--432", month = oct, year = "1972", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01404925", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "Many procedures, for example Gaussian elimination with partial pivoting, have been shown to be stable in the following sense. The effect of round-off errors is to produce a computed solution which is the exact solution for slightly different data. Sometimes that is equivalent to the computed solution being close to the exact solution. In this paper we study this equivalence.", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Pennsylvania State Univ., University Park, PA, USA", fjournal = "Numerische Mathematik", keywords = "error analysis; finite numerical procedures; Gaussian elimination with partial pivoting; numerical methods; roundoff errors; stability", treatment = "T Theoretical or Mathematical", } @Article{Meyer-Spasche:1972:CMS, author = "Rita Meyer-Spasche", title = "A constructive method of solving the {Lyapunov} equation for complex matrices", journal = j-NUM-MATH, volume = "19", number = "5", pages = "433--438", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Max-Planck-Inst. Phasmaphys., Munich, West Germany", fjournal = "Numerische Mathematik", keywords = "constructive method; Lyapunov equation for complete matrices; Lyapunov methods; matrix algebra; upper Hessenberg form", treatment = "T Theoretical or Mathematical", } @Article{Saint-Pierre:1972:CND, author = "Patrick Saint-Pierre", title = "Sur la convergence num{\'e}rique de diff{\'e}rentes m{\'e}thodes de d{\'e}composition pour une class de probl{\`e}mes elliptiques. ({French}) [{On} the numerical convergence of different methods of decomposition for a class of elliptic problems]", journal = j-NUM-MATH, volume = "19", number = "5", pages = "439--449", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; decomposition; elliptic problems; nonlinear differential equations; numerical convergence", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1972:FES, author = "Ivo Babu{\v{s}}ka and Michael B. Rosenzweig", title = "A finite element scheme for domains with corners", journal = j-NUM-MATH, volume = "20", number = "1", pages = "1--21", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; domains with corners; finite element scheme; L/sub 2/ convergence; partial differential equations; polygonal domains in weighted Sobolev spaces; rate of convergence", treatment = "T Theoretical or Mathematical", } @Article{Brown:1972:IGI, author = "H. Brown and J. Neub{\"u}ser and H. Zassenhaus", title = "On integral groups. {II}: {The} irreducible case", journal = j-NUM-MATH, volume = "20", number = "1", pages = "22--31", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C5230 (Digital arithmetic methods)", corpsource = "Ohio State Univ., Columbus, OH, USA", fjournal = "Numerische Mathematik", keywords = "integral groups; number theory; reducible case; reducible integral matrix groups", treatment = "T Theoretical or Mathematical", } @Article{Schmeisser:1972:OQS, author = "Gerhard Schmeisser", title = "{Optimale Quadraturformeln mit semidefiniten Kernen}. ({German}) [{Optimal} Quadrature Formulas with Semidefinite Kernels]", journal = j-NUM-MATH, volume = "20", number = "1", pages = "32--53", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Cenacchi:1972:QRS, author = "G. Cenacchi and A. {De Matteis}", title = "Quasi-random sequences by power residues", journal = j-NUM-MATH, volume = "20", number = "1", pages = "54--63", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Brezinski:1972:CAC, author = "Claude Brezinski", title = "Conditions d'application et de convergence de proc{\'e}d{\'e}s d'extrapolation. ({French}) [{Application} and convergence conditions for some extrapolation processes]", journal = j-NUM-MATH, volume = "20", number = "1", pages = "64--79", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", keywords = "application; convergence conditions; convergence of numerical methods; convergent sequences; epsilon algorithm; extrapolation algorithms; function approximation", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Seppala:1972:NTL, author = "Veikko Sepp{\"a}l{\"a}", title = "A note on the theory of limit processes for solving finite equations", journal = j-NUM-MATH, volume = "20", number = "1", pages = "80--86", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Kress:1972:NIP, author = "Rainer Kre{\ss}", title = "{Zur numerischen Integration periodischer Funktionen nach der Rechteckregel}. ({German}) [{On the numerical integration of periodic functions by the trapezoidal rule}]", journal = j-NUM-MATH, volume = "20", number = "1", pages = "87--92", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Lehrstuhle Numerische and Angewandte Math., G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", keywords = "Davis' method; error analysis; error estimates; integration; numerical integration; periodic functions; trapezoidal rule", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Kammerer:1972:ABN, author = "W. J. Kammerer and R. S. Varga", title = "On Asymptotically Best Norms for Powers of Operators", journal = j-NUM-MATH, volume = "20", number = "2", pages = "93--98", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Georgia Inst. Technol., Atlanta, GA, USA", fjournal = "Numerische Mathematik", keywords = "asymptotically best norms; iterative methods; la; large systems; linear equations; matrix algebra; matrix powers; norm; powers of operators; successive overrelaxation iterative method", treatment = "T Theoretical or Mathematical", } @Article{Mansfield:1972:VCC, author = "Lois Mansfield", title = "On the variational characterization and convergence of bivariate splines", journal = j-NUM-MATH, volume = "20", number = "2", pages = "99--114", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Kansas, Lawrence, KS, USA", fjournal = "Numerische Mathematik", keywords = "bivariate splines; convergence; convergence of numerical methods; splines (mathematics); variational characterization", treatment = "T Theoretical or Mathematical", } @Article{Golomb:1972:MGN, author = "M. Golomb and R. A. Tapia", title = "The metric gradient in normed linear spaces", journal = j-NUM-MATH, volume = "20", number = "2", pages = "115--124", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Purdue Univ., Lafayette, IN, USA", fjournal = "Numerische Mathematik", keywords = "Hilbert space; metric gradient; normed linear spaces; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Kress:1972:GHT, author = "Rainer Kre{\ss}", title = "On general {Hermite} trigonometric interpolation", journal = j-NUM-MATH, volume = "20", number = "2", pages = "125--138", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Lehrstuhle Numerische and Angewandte Math., G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", keywords = "equidistant interpolation points; general Hermite trigonometric interpolation; integration; interpolation; interpolation polynomials; quadrature formulae", treatment = "T Theoretical or Mathematical", } @Article{Gutknecht:1972:PEB, author = "Martin Gutknecht", title = "A posteriori error bounds for the zeros of a polynomial", journal = j-NUM-MATH, volume = "20", number = "2", pages = "139--148", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Eidgenossische Tech. Hochschule, Zurich, Switzerland", fjournal = "Numerische Mathematik", keywords = "a posteriori error bounds; error analysis; Newton like interpolation formula; poles and zeros; polynomial; polynomials; Rouche's theorem; zeros", treatment = "T Theoretical or Mathematical", } @Article{vanderHouwen:1972:ERF, author = "P. J. van der Houwen", title = "Explicit {Runge--Kutta} formulas with increased stability boundaries", journal = j-NUM-MATH, volume = "20", number = "2", pages = "149--164", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Centrum, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", keywords = "differential equations; explicit Runge Kutta formulae; increased stability boundaries; ordinary differential equations; partial differential equations; predictor-corrector methods", treatment = "T Theoretical or Mathematical", } @Article{Carasso:1972:EAR, author = "Claude Carasso", title = "{\'E}tude de l'algorithme de {R{\'e}m{\`e}s} en l'absence de condition de {Haar}. ({French}) [{Study} of the {Remes}-algorithm without the {Haar} condition]", journal = j-NUM-MATH, volume = "20", number = "2", pages = "165--178", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Sci. and M{\'e}dicale Grenoble, France", fjournal = "Numerische Mathematik", keywords = "best approximation; convergence; convergence of numerical methods; function approximation; Haar condition; Remes algorithm; unicity", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1973:FEM, author = "Ivo Babu{\v{s}}ka", title = "The finite element method with {Lagrangian} multipliers", journal = j-NUM-MATH, volume = "20", number = "3", pages = "179--192", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; differential equations; Dirichlet problem; finite element method; Lagrangian multipliers; rate of convergence; second order differential equations", treatment = "T Theoretical or Mathematical", } @Article{Chatelin:1973:ADS, author = "F. Chatelin", title = "Approximation du spectre d'un op{\'e}rateur lin{\'e}are: application aux op{\'e}rateurs differentiels elliptiques non autoadjoints. ({French}) [{Approximation} of the spectrum of a linear operator: application to nonselfadjoint differential elliptic operators]", journal = j-NUM-MATH, volume = "20", number = "3", pages = "193--204", month = jun, year = "1973", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01436562", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. Mathematiques Appliqu{\'e}es, Grenoble, France", fjournal = "Numerische Mathematik", keywords = "approximation; eigenvalues and eigenfunctions; function approximation; linear operator; nonselfadjoint differential elliptic operators; spectrum", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Householder:1973:PGA, author = "A. S. Householder", title = "Postscript to: {``Generalizations of an algorithm of Sebastiao e Silva''}", journal = j-NUM-MATH, volume = "20", number = "3", pages = "205--207", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schiop:1973:SRP, author = "Alexandru I. {\c{S}}chiop", title = "Stability of {Ritz} procedure for nonlinear two-point boundary value problem", journal = j-NUM-MATH, volume = "20", number = "3", pages = "208--212", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Acad. Sci., Bucarest, Romania", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; nonlinear two point boundary value problem; Ritz procedure; stability", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1973:GMP, author = "Jim {Douglas, Jr.} and Todd Dupont", title = "{Galerkin} methods for parabolic equations with nonlinear boundary conditions", journal = j-NUM-MATH, volume = "20", number = "3", pages = "213--237", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Chicago, IL, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; Galerkin methods; nonlinear boundary conditions; parabolic equations; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Strassen:1973:BEF, author = "Volker Strassen", title = "{Die Berechnungskomplexit{\"a}t von elementarsymmetrischen Funktionen und von Interpolationskoeffizienten}. ({German}) [{The computational complexity of elementary symmetric functions and interpolation coefficients}]", journal = j-NUM-MATH, volume = "20", number = "3", pages = "238--251", month = jun, year = "1973", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01436566", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "$n(\lg_2 n - 2)$ multiplications and divisions are necessary to compute the set of elementary symmetric functions in $n$ indeterminates. This lower bound and similar ones for the computational complexity of various evaluation and interpolation problems are obtained by introducing ideas and results from algebraic geometry.", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Zurich, Switzerland", fjournal = "Numerische Mathematik", keywords = "computational complexity; elementary symmetric functions; interpolation; interpolation coefficients", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Varga:1973:MGS, author = "Richard S. Varga and Bernard W. Levinger", title = "On Minimal {Gerschgorin} Sets for Families of Norms", journal = j-NUM-MATH, volume = "20", number = "3", pages = "252--256", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Kent State Univ., OH, USA", fjournal = "Numerische Mathematik", keywords = "eig; families of norms; Gerschgorin's theorem; la; matrices; matrix algebra; minimal Gerschgorin sets; norm", treatment = "T Theoretical or Mathematical", } @Article{Lucas:1973:HOP, author = "Thomas R. Lucas and George W. Reddien", title = "A high order projection method for nonlinear two point boundary value problems", journal = j-NUM-MATH, volume = "20", number = "4", pages = "257--270", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. North Carolina, Charlotte, NC, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; high order projection method; nonlinear two point boundary value problems; polynomial spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Rakotch:1973:NSV, author = "E. Rakotch", title = "Numerical solution of {Volterra} integral equations", journal = j-NUM-MATH, volume = "20", number = "4", pages = "271--279", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Israel Inst. Technol., Haifa, Israel", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; convergence properties; integral equations; numerical methods; numerical solution; quadrature formulae; Volterra integral equations", treatment = "T Theoretical or Mathematical", } @Article{Ansorge:1973:FKF, author = "Rainer Ansorge", title = "{$f$-Konvergenz und $f$-Stetigkeit von Operatorenfolgen auf metrischen R{\"a}umen}. ({German}) [$f$-Convergence and $f$-Stability of Operator Sequences in Metric Spaces]", journal = j-NUM-MATH, volume = "20", number = "4", pages = "280--287", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Cryer:1973:NSB, author = "Colin W. Cryer", title = "The numerical solution of boundary value problems for second order functional differential equations by finite differences", journal = j-NUM-MATH, volume = "20", number = "4", pages = "288--299", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", keywords = "boundary value problems; boundary-value problems; difference equations; differential equations; finite differences; numerical solution; second order functional differential equations", treatment = "T Theoretical or Mathematical", } @Article{vanDooren:1973:NCF, author = "Ren{\'e} van Dooren", title = "Numerical computation of forced oscillations in coupled {Duffing} equations", journal = j-NUM-MATH, volume = "20", number = "4", pages = "300--311", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Alefeld:1973:UKZ, author = "G. Alefeld", title = "{{\"U}ber konvergente Zerlegungen von Matrizen}. ({German}) [{On} Convergent Splittings of Matrices]", journal = j-NUM-MATH, volume = "20", number = "4", pages = "312--316", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:27:08 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Locher:1973:SQG, author = "Franz Locher", title = "{Zur Struktur von Quadraturformeln}. ({German}) [{On} the Structure of Quadrature Formulas]", journal = j-NUM-MATH, volume = "20", number = "4", pages = "317--326", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:28:06 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Brent:1973:OIP, author = "Richard Brent and Shmuel Winograd and Philip Wolfe", title = "Optimal iterative processes for root-finding", journal = j-NUM-MATH, volume = "20", number = "5", pages = "327--341", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:36:46 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Chan:1973:SS, author = "Paula P. Chan", title = "Singular splines", journal = j-NUM-MATH, volume = "20", number = "5", pages = "342--349", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Cleveland State Univ., OH, USA", fjournal = "Numerische Mathematik", keywords = "approximations; derivatives; interpolate; rational numbers; singular splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Zwas:1973:TSL, author = "Gideon Zwas", title = "On two step {Lax--Wendroff} methods in several dimensions", journal = j-NUM-MATH, volume = "20", number = "5", pages = "350--355", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Sachs:1973:IMN, author = "A. Sachs", title = "{Iterationsverfahren f{\"u}r monotone, nicht notwendig Lipschitz-beschr{\"a}nkte Operatoren im Hilbert-Raum}. ({German}) [{Iteration} Method for Monotone Not-Necessarily {Lipschitz}-Limited Operators in {Hilbert} Space]", journal = j-NUM-MATH, volume = "20", number = "5", pages = "356--363", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Meyer-Spasche:1973:MSS, author = "R. Meyer-Spasche", title = "A method of solving the stability-problem for complex matrices", journal = j-NUM-MATH, volume = "20", number = "5", pages = "364--371", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:13:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{vonFinckenstein:1973:KDQ, author = "Karl Graf Finck von Finckenstein and Karl-Ulrich von Hagenow", title = "{Konvergenz eines Differenzenverfahrens f{\"u}r quasilineare parabolische Anfangs-Randwertprobleme in Zylindersymmetrie}. ({German}) [{Convergence} of a Difference Method for Quasilinear Parabolic Initial-Boundary Value Problems in Cylindrical Symmetry]", journal = j-NUM-MATH, volume = "20", number = "5", pages = "372--376", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:23:14 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Tsuda:1973:NIF, author = "Takao Tsuda", title = "Numerical integration of functions of very many variables", journal = j-NUM-MATH, volume = "20", number = "5", pages = "377--391", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Hokkaido Univ., Sapporo, Japan", fjournal = "Numerische Mathematik", keywords = "composite functions; functions of very many variables; integration; multidimensional interpolatory quadrature scheme; numerical integration; samplings", treatment = "T Theoretical or Mathematical", } @Article{Kincaid:1973:CNI, author = "David R. Kincaid", title = "A Class of Norms of Iterative Methods for Solving Systems of Linear Equations", journal = j-NUM-MATH, volume = "20", number = "5", pages = "392--408", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Jan 28 17:28:43 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", } @Article{Schonhage:1973:UTG, author = "A. Sch{\"o}nhage", title = "{Unit{\"a}re Transformationen gro{\ss}er Matrizen}. ({German}) [{Unitary} Transformation of Large Matrices]", journal = j-NUM-MATH, volume = "20", number = "5", pages = "409--417", month = oct, year = "1973", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01402563", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 11:00:12 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Wuytack:1973:ARI, author = "Luc Wuytack", title = "An algorithm for rational interpolation similar to the $qd$-algorithm", journal = j-NUM-MATH, volume = "20", number = "5", pages = "418--424", month = oct, year = "1973", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01402564", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 11:00:12 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Morita:1972:CAG, author = "Tohru Morita and Tsuyoshi Horiguchi", title = "Convergence of the arithmetic-geometric mean procedure for the complex variables and the calculation of the complete elliptic integrals with complex modulus", journal = j-NUM-MATH, volume = "20", number = "5", pages = "425--430", month = oct, year = "1972", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01402565", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Jan 13 10:01:46 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=20&issue=5; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=20&issue=5&spage=425", abstract = "The convergence of the arithmetic-geometric mean procedure is checked for complex variables. The procedure is shown to be useful for the evaluation of the complete elliptic integrals of the first and second kinds with complex modulus. It is suggested that the procedure will be useful also for the numerical calculation of the elliptic integrals and the Jacobian elliptic functions with complex modulus in general.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Beyer:1972:EEC, author = "W. A. Beyer and M. S. Waterman", title = "Errata: {``Ergodic Computations with Continued Fraction and Jacobi's Algorithm''}", journal = j-NUM-MATH, volume = "20", number = "5", pages = "430--430", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Jan 13 10:01:46 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=20&issue=5; http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Beyer:1972:ECC}.", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=20&issue=5&spage=430", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Feldstein:1973:NSO, author = "Alan Feldstein and Richard Goodman", title = "Numerical solution of ordinary and retarded differential equations with discontinuous derivatives", journal = j-NUM-MATH, volume = "21", number = "1", pages = "1--13", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Arizona State Univ., Tempe, AZ, USA", fjournal = "Numerische Mathematik", keywords = "differential equations; discontinuous derivatives; error analysis; numerical solution; ordinary and retarded differential equations; propagation of discretization error", treatment = "T Theoretical or Mathematical", } @Article{Strom:1973:MEB, author = "Torsten Str{\"o}m", title = "Monotonicity and error bounds in schemes of {Romberg} type for the computation of $f^{(n)}(0)$ by central differences and extrapolation", journal = j-NUM-MATH, volume = "21", number = "1", pages = "14--21", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Res. Inst. Nat. Defence, Stockholm, Sweden", fjournal = "Numerische Mathematik", keywords = "central differences; difference equations; error analysis; error bounds; extrapolation; monotonicity; schemes of Romberg type", treatment = "T Theoretical or Mathematical", } @Article{deHoog:1973:SVI, author = "Frank de Hoog and Richard Weiss", title = "On the solution of {Volterra} integral equations of the first kind", journal = j-NUM-MATH, volume = "21", number = "1", pages = "22--32", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Australian Nat. Univ., Canberra, Australia", fjournal = "Numerische Mathematik", keywords = "difference equations; high order finite difference methods; integral equations; solution; Volterra integral equations of the first kind", treatment = "T Theoretical or Mathematical", } @Article{Delchambre:1973:AMD, author = "M. Delchambre", title = "De l'avantage des m{\'e}thodes aux diff{\'e}rences modifi{\'e}es de {Stiefel--Bettis} pour la r{\'e}solution d'{\'e}quations diff{\'e}rentielles du second ordre perturb{\'e}es. ({French}) [{The} advantage of modified {Stiefel--Bettis} difference methods for the solution of perturbed second order differential equations]", journal = j-NUM-MATH, volume = "21", number = "1", pages = "33--36", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Libre Bruxelles, Belgium", fjournal = "Numerische Mathematik", keywords = "difference equations; modified Stiefel Bettis difference methods; non linear Van der Pol equation; nonlinear differential equations; perturbed second order differential equations", language = "French", treatment = "T Theoretical or Mathematical", } @Article{deVries:1973:ENM, author = "H. J. de Vries", title = "On the eigenproblem for normal matrices", journal = j-NUM-MATH, volume = "21", number = "1", pages = "37--42", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Katholieke Hogeschool, Tilburg, Netherlands", fjournal = "Numerische Mathematik", keywords = "eigenproblem; eigenvalues and eigenfunctions; Householder Givens method; matrix algebra; normal matrices; skew Hermitian", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1973:CMF, author = "Claes Johnson", title = "On the convergence of a mixed finite-element method for plate bending problems", journal = j-NUM-MATH, volume = "21", number = "1", pages = "43--62", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Univ. G{\"o}teborg, Sweden", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; finite element analysis; mixed finite element method; plate bending problems; stationary variational principle", treatment = "T Theoretical or Mathematical", } @Article{Anselone:1973:PBA, author = "Philip M. Anselone and Joel Davis", title = "Perturbations of best approximation problems", journal = j-NUM-MATH, volume = "21", number = "1", pages = "63--69", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:12:42 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Oregon State Univ., Corvallis, OR, USA", fjournal = "Numerische Mathematik", keywords = "approximation theory; best approximation problems; continuity; discretization properties; metric; normed linear spaces; perturbations; semimetric spaces", treatment = "T Theoretical or Mathematical", } @Article{Martensen:1973:DER, author = "Erich Martensen", title = "{Darstellung und Entwicklung des Restgliedes der Gregoryschen Quadraturformel mit Hilfe von Spline-Funktionen}. ({German}) [{Representation and development of the remainder term of {Gregory}'s quadrature formula using spline functions}]", journal = j-NUM-MATH, volume = "21", number = "1", pages = "70--80", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:03:21 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Karlsruhe, West Germany", fjournal = "Numerische Mathematik", keywords = "development; Gregory's quadrature formula; integration; remainder term; representation; spline functions; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Niethammer:1973:NVA, author = "Wilhelm Niethammer", title = "{Ein numerisches Verfahren zur analytischen Fortsetzung}. ({German}) [{A numerical method for analytical continuation}]", journal = j-NUM-MATH, volume = "21", number = "1", pages = "81--92", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:56:55 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Mannheim, West Germany", fjournal = "Numerische Mathematik", keywords = "analytical continuation; convergence; convergence of numerical methods; numerical method; series (mathematics); summation method; Taylor series", language = "German", treatment = "T Theoretical or Mathematical", } @Article{S:1973:AHA, author = "{H. S.}", title = "{Alston S. Householder Award}", journal = j-NUM-MATH, volume = "21", number = "1", pages = "i--i", month = feb, year = "1973", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01436190", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jan 17 13:25:13 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Medley:1973:NGF, author = "H. I. Medley", title = "A note on {$G$}-generating families and isolated {Gerschgorin} disks", journal = j-NUM-MATH, volume = "21", number = "2", pages = "93--95", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Kent State Univ., OH, USA", fjournal = "Numerische Mathematik", keywords = "eigenvalues; eigenvalues and eigenfunctions; G-generating families; isolated Gerschgorin discs; matrices; matrix algebra", treatment = "T Theoretical or Mathematical", } @Article{Chandra:1973:APS, author = "Jagdish Chandra and Paul William Davis", title = "On the approximation of periodic solutions of equations with bounded nonlinearities", journal = j-NUM-MATH, volume = "21", number = "2", pages = "96--108", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "US Army Res. Office-Durham, NC, USA", fjournal = "Numerische Mathematik", keywords = "approximation; bounded nonlinearities; differential equations; function approximation; harmonic; Lipschitzian nonlinearity; ordinary differential equations; periodic solutions; phase shift averaging method; sinusoidal forcing term", treatment = "T Theoretical or Mathematical", } @Article{Gordon:1973:TEM, author = "William J. Gordon and Charles A. Hall", title = "Transfinite element methods: blending-function interpolation over arbitrary curved element domains", journal = j-NUM-MATH, volume = "21", number = "2", pages = "109--129", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "General Motors Corp., Warren, MI, USA", fjournal = "Numerische Mathematik", keywords = "arbitrary curved element domains; blending function; curved boundaries; finite element analysis; interpolation; material interfaces; transfinite element methods", treatment = "T Theoretical or Mathematical", } @Article{Bjorck:1973:ACV, author = "{\AA}ke Bj{\"o}rck and Tommy Elfving", title = "Algorithms for Confluent {Vandermonde} Systems", journal = j-NUM-MATH, volume = "21", number = "2", pages = "130--137", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Link{\"o}ping, Sweden", fjournal = "Numerische Mathematik", keywords = "algorithms; arithmetic operations; confluent Vandermonde systems; linear algebra; linear equations; nla; storage; Vandermonde matrix", treatment = "T Theoretical or Mathematical", } @Article{Nielson:1973:BSF, author = "Gregory M. Nielson", title = "Bivariate spline functions and the approximation of linear functionals", journal = j-NUM-MATH, volume = "21", number = "2", pages = "138--160", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Arizona State Univ., Tempe, AZ, USA", fjournal = "Numerische Mathematik", keywords = "approximation; bivariate spline functions; function approximation; Hilbert space; linear functionals; reproducing kernel; splines (mathematics); Taylor expansions", treatment = "T Theoretical or Mathematical", } @Article{Braess:1973:SIZ, author = "D. Braess and K. P. Hadeler", title = "Simultaneous inclusion of the zeros of a polynomial", journal = j-NUM-MATH, volume = "21", number = "2", pages = "161--165", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", keywords = "complex polynomial; eigenvalues and eigenfunctions; inclusion sets; interpolation; Lagrangian interpolation formulas; matrix algebra; matrix eigenvalue problem; minimal Gershgorin discs; poles and zeros; polynomials; simultaneous; zeros", treatment = "T Theoretical or Mathematical", } @Article{Schaback:1973:KAE, author = "Robert Schaback", title = "{Konstruktion und algebraische Eigenschaften von {$M$}-Spline-Interpolierenden}. ({German}) [{Construction and algebraic properties of {$M$} spline interpolation}]", journal = j-NUM-MATH, volume = "21", number = "2", pages = "166--180", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", keywords = "algebraic properties; construction; interpolation; M spline interpolation; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Wulbert:1973:NPS, author = "Daniel Wulbert", title = "A note on polynomial splines with free knots", journal = j-NUM-MATH, volume = "21", number = "2", pages = "181--184", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Hunter:1973:NEC, author = "D. B. Hunter", title = "The numerical evaluation of {Cauchy} principal values of integrals by {Romberg} integration", journal = j-NUM-MATH, volume = "21", number = "3", pages = "185--192", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Bradford, UK", fjournal = "Numerische Mathematik", keywords = "Cauchy principal values; integrals; integration; numerical evaluation; numerical methods; Romberg integration", treatment = "T Theoretical or Mathematical", } @Article{Reddien:1973:PMS, author = "G. W. Reddien", title = "Projection methods and singular two point boundary value problems", journal = j-NUM-MATH, volume = "21", number = "3", pages = "193--205", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Vanderbilt Univ., Nashville, TN, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; collocation methods; convergence of numerical methods; convergence rates; existence; projection methods; singular splines; singular two point boundary value problems; splines (mathematics); uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Takahasi:1973:QFO, author = "Hidetosi Takahasi and Masatake Mori", title = "Quadrature formulas obtained by variable transformation", journal = j-NUM-MATH, volume = "21", number = "3", pages = "206--219", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Tokyo, Bunkyo-ku, Japan", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; improper integrals; infinite integrals; integration; quadrature formulas; variable transformation", treatment = "T Theoretical or Mathematical", } @Article{Esser:1973:BKH, author = "H. Esser and K. Scherer", title = "{Eine Bemerkungen zur Konvergenz Hermitischer Interpolationsprozesse}. ({German}) [{Convergence of {Hermite} interpolation processes}]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "220--222", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 21:59:39 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "RWTH, Aachen, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; differentiable function; Hermite interpolation processes; interpolation; polynomial", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Parlett:1973:PGM, author = "B. N. Parlett", title = "Pr{\'e}sentation g{\'e}om{\'e}trique des m{\'e}thodes de calcul des valeurs propres. ({French}) [{Geometric} presentation of methods for calculation of eigenvalues]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "223--233", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. California, Berkeley, CA, USA", fjournal = "Numerische Mathematik", keywords = "calculation; convergence; convergence of numerical methods; eigenvalues; eigenvalues and eigenfunctions; eigenvectors; geometric presentation; matrices; matrix algebra; methods", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Neunzert:1973:TAV, author = "H. Neunzert and J. Wick", title = "{Die Theorie der asymptotischen Verteilung und die numerische L{\"o}sung von Integrodifferentialgleichungen}. ({German}) [{The theory of asymptotic distribution and the numerical solution of integrodifferential equations}]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "234--243", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:03:24 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "RWTH, Aachen, West Germany", fjournal = "Numerische Mathematik", keywords = "integro-differential equations; integrodifferential equations; numerical methods; numerical solution; theory of asymptotic distribution", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Lesaint:1973:FEM, author = "P. Lesaint", title = "Finite element methods for symmetric hyperbolic equations", journal = j-NUM-MATH, volume = "21", number = "3", pages = "244--255", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Centre Etudes Limeil, France", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; differential equations; finite element analysis; finite element methods; rate of convergence; Rayleigh Ritz Galerkin method; symmetric hyperbolic equations", treatment = "T Theoretical or Mathematical", } @Article{Pittnauer:1973:NPK, author = "E. Pittnauer", title = "{Numerische Polynomapproximation mit Knotenpolynomen}. ({German}) [{Numerical polynomial approximation by knot polynomials}]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "256--263", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:04:51 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Ruhr Univ., Bochum, West Germany", fjournal = "Numerische Mathematik", keywords = "approximation theory; interpolation; Knot polynomials; numerical methods; numerical polynomial approximation; polynomials", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Sautter:1973:SLO, author = "W. Sautter", title = "{Schwankungsbereiche linearer Optimierungsaufgaben}. ({German}) [{Perturbation analysis of linear programming problems}]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "264--269", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:06:45 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Univ., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", keywords = "linear programming; linear programming problems; perturbation analysis; perturbation techniques", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1973:SGM, author = "Jim {Douglas, Jr.} and Todd Dupont", title = "Superconvergence for {Galerkin} methods for the two point boundary problem via local projections", journal = j-NUM-MATH, volume = "21", number = "3", pages = "270--278", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Chicago, IL, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; convergence of numerical methods; Galerkin methods; local projections; superconvergence; two point boundary problem", treatment = "T Theoretical or Mathematical", } @Article{Allgower:1973:EIC, author = "E. L. Allgower", title = "Exact inverses of certain band matrices", journal = j-NUM-MATH, volume = "21", number = "4", pages = "279--284", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "ETH, Zurich, Switzerland", fjournal = "Numerische Mathematik", keywords = "band matrices; exact inverses; matrix algebra; Toeplitz type", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1973:CDM, author = "G. W. Stewart", title = "Conjugate direction methods for solving systems of linear equations", journal = j-NUM-MATH, volume = "21", number = "4", pages = "285--297", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", keywords = "conjugate; conjugate direction methods; iterations; iterative methods; matrix; matrix algebra; systems of linear equations", treatment = "T Theoretical or Mathematical", } @Article{Mittermayer:1973:IMG, author = "E. Mittermayer", title = "{Eine Iterationsmethode zur mehrdimensionalen gleichm{\"a}{\ss}igen Approximation bei gegebener N{\"a}herung}. ({German}) [{An iterative method for the more dimensional uniform approximation by given nearness}]", journal = j-NUM-MATH, volume = "21", number = "4", pages = "298--302", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Tech. Univ., Berlin, West Germany", fjournal = "Numerische Mathematik", keywords = "Chebyshev; Chebyshev approximation; iterative method; iterative methods", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Jeltsch:1973:III, author = "Rolf Jeltsch", title = "Integration of iterated integrals by multistep methods", journal = j-NUM-MATH, volume = "21", number = "4", pages = "303--316", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dalhousie Univ., Halifax, NS, Canada", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; integration; iterated integrals; looking ahead points; multistep methods", treatment = "T Theoretical or Mathematical", } @Article{Scott:1973:FEC, author = "Ridgway Scott", title = "Finite element convergence for singular data", journal = j-NUM-MATH, volume = "21", number = "4", pages = "317--327", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "MIT, Cambridge, MA, USA", fjournal = "Numerische Mathematik", keywords = "boundary value problem; boundary-value problems; convergence of numerical methods; finite element analysis; finite element convergence; singular data", treatment = "T Theoretical or Mathematical", } @Article{Gustafsson:1973:NMS, author = "Bertil Gustafsson", title = "A numerical method for solving singular boundary value problems", journal = j-NUM-MATH, volume = "21", number = "4", pages = "328--344", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Uppsala Univ., Sweden", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; numerical method; numerical methods; singular boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Berger:1973:EEF, author = "Alan E. Berger", title = "{$L^2$} error estimates for finite elements with interpolated boundary conditions", journal = j-NUM-MATH, volume = "21", number = "4", pages = "345--349", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "US Naval Ordnance Lab., Silver Spring, Md., USA", fjournal = "Numerische Mathematik", keywords = "error analysis; finite element analysis; finite elements; interpolated boundary conditions; interpolation; L/sup 2/ error estimates", treatment = "T Theoretical or Mathematical", } @Article{Kansy:1973:EFA, author = "Klaus Kansy", title = "{Elementare Fehlerdarstellung f{\"u}r Ableitungen bei der Hermite-Interpolation}. ({German}) [{Elementary error representation for derivatives by {Hermite} interpolation}]", journal = j-NUM-MATH, volume = "21", number = "4", pages = "350--354", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Gesellschaft Math., Bonn, West Germany", fjournal = "Numerische Mathematik", keywords = "derivatives; elementary error representation; error analysis; Hermite interpolation; interpolation; pointwise", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Goodman:1973:RER, author = "Richard Goodman and Alan Feldstein", title = "Round-off error for retarded ordinary differential equations: a priori bounds and estimates", journal = j-NUM-MATH, volume = "21", number = "5", pages = "355--372", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Univ. Miami, FL, USA", fjournal = "Numerische Mathematik", keywords = "bounds; differential equations; error analysis; estimates; retarded ordinary differential equations; round off error", treatment = "T Theoretical or Mathematical", } @Article{Shimasaki:1973:NSI, author = "Masaaki Shimasaki and Takeshi Kiyono", title = "Numerical solution of integral equations in {Chebyshev} series", journal = j-NUM-MATH, volume = "21", number = "5", pages = "373--380", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Kyoto Univ., Japan", fjournal = "Numerische Mathematik", keywords = "Chebyshev approximation; Chebyshev series; integral equations; iterative methods; Newton iterations; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Daniel:1973:NMN, author = "James W. Daniel", title = "{Newton}'s method for nonlinear inequalities", journal = j-NUM-MATH, volume = "21", number = "5", pages = "381--387", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Texas, Austin, TX, USA", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; iterative methods; Newton's method; nonlinear inequalities; quadratic convergence", treatment = "T Theoretical or Mathematical", } @Article{Beavers:1973:CME, author = "A. N. {Beavers, Jr.} and E. D. Denman", title = "A Computational Method for Eigenvalues and Eigenvectors of a Matrix with Real Eigenvalues", journal = j-NUM-MATH, volume = "21", number = "5", pages = "389--396", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Houston, TX, USA", fjournal = "Numerische Mathematik", keywords = "computational method; eigenvalues; eigenvalues and eigenfunctions; eigenvectors; matrix algebra; matrix with real eigenvalues; sign; square matrix", treatment = "T Theoretical or Mathematical", } @Article{Brass:1973:FQC, author = "Helmut Bra{\ss}", title = "{Eine Fehlerabsch{\"a}tzung zum Quadratureverfahren von Clenshaw und Curtis}. ({German}) [{An error estimation of the quadrature method of {Clenshaw} and {Curtis}}]", journal = j-NUM-MATH, volume = "21", number = "5", pages = "397--403", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Tech. Univ. Clausthal, Zellerfeld, West Germany", fjournal = "Numerische Mathematik", keywords = "Clenshaw Curtis method; error analysis; error estimation; integration; quadrature method", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1973:CAE, author = "Walter Gautschi", title = "On the condition of algebraic equations", journal = j-NUM-MATH, volume = "21", number = "5", pages = "405--424", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Purdue Univ., Lafayette, IN, USA", fjournal = "Numerische Mathematik", keywords = "algebraic equations; condition; linear algebra; polynomial; polynomials; roots; sensitivity", treatment = "T Theoretical or Mathematical", } @Article{Elsner:1973:RSI, author = "Ludwig Elsner", title = "A remark on simultaneous inclusions of the zeros of a polynomial by {Gershgorin}'s theorem", journal = j-NUM-MATH, volume = "21", number = "5", pages = "425--427", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Erlangen-N{\"u}rnberg, West Germany", fjournal = "Numerische Mathematik", keywords = "error bounds; Gershgorin's theorem; poles and zeros; polynomial; polynomials; simultaneous inclusions; zeros", treatment = "T Theoretical or Mathematical", } @Article{Rodrigue:1973:GMM, author = "Garry Rodrigue", title = "A gradient method for the matrix eigenvalue problem {$A x = \lambda B x$}", journal = j-NUM-MATH, volume = "22", number = "1", pages = "1--16", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Kent State Univ., OH, USA", fjournal = "Numerische Mathematik", keywords = "eigenvalues and eigenfunctions; functional; gradient method; matrix algebra; matrix eigenvalue problem; minimization", treatment = "T Theoretical or Mathematical", } @Article{Atkinson:1973:IVN, author = "Kendall Atkinson", title = "Iterative variants of the {Nystr{\"o}m} method for the numerical solution of integral equations", journal = j-NUM-MATH, volume = "22", number = "1", pages = "17--31", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Univ. Iowa, IA, USA", fjournal = "Numerische Mathematik", keywords = "integral equations; iterative methods; iterative variants; numerical solution; Nystr{\"o}m method", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1973:SIF, author = "G. W. Stewart", title = "Some iterations for factoring a polynomial. {II}: {A} generalization of the secant method", journal = j-NUM-MATH, volume = "22", number = "1", pages = "33--36", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Schroder:1973:RDB, author = "Johann Schr{\"o}der and Ulrich Trottenberg", title = "{Reduktionsverfahren f{\"u}r DIfferenzengleichungen bie Randwertaufgaben. I}. ({German}) [{Reduction method for difference equations for boundary value problems. {I}}]", journal = j-NUM-MATH, volume = "22", number = "1", pages = "37--68", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:13:26 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Koln, Weyertal, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary value problems; boundary-value problems; difference equations; discrete Dirichlet problem; numerical methods; numerically stable; Poisson's equation; reduction method", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Kreisselmeier:1973:AZI, author = "Gerhard Kreisselmeier and Dietrich Suschowk", title = "{Ein Algorithmus zur zyklisch invarianten Zerlegung eines endlich-dimensionalen Vektorraums bez{\"u}glich einer linearen Selbstabbildung}. ({German}) [{An} Algorithm for the Cyclic Invariant Decompositions of a Finite-Dimensional Vector Space with Respect to Linear Endomorphism]", journal = j-NUM-MATH, volume = "22", number = "1", pages = "69--74", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:12:42 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Micchelli:1974:AOA, author = "C. A. Micchelli and W. L. Miranker", title = "Asymptotically optimal approximation in fractional {Sobolev} spaces and the numerical solution of differential equations", journal = j-NUM-MATH, volume = "22", number = "2", pages = "75--87", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B0290P (Differential equations); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "IBM Corp., Yorktown Heights, NJ, USA", fjournal = "Numerische Mathematik", keywords = "asymptotically optimal approximation; Cauchy problem; extremal problems; fractional Sobolev spaces; function approximation; generalized spline functions; linear differential equations; linear partial differential equations; numerical solution of differential equations; optimal finite difference methods; optimisation; partial differential equations; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Mansfield:1974:HOC, author = "Lois Mansfield", title = "Higher order compatible triangular finite elements", journal = j-NUM-MATH, volume = "22", number = "2", pages = "89--97", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Kansas, Lawrence, KS, USA", fjournal = "Numerische Mathematik", keywords = "finite element analysis; function approximation; higher order compatible triangular finite elements; piecewise polynomial functions; piecewise rational functions; polynomials; triangulated polygon", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1974:GAT, author = "Jim {Douglas, Jr.} and Todd Dupont", title = "{Galerkin} approximations for the two point boundary problem using continuous, piecewise polynomial spaces", journal = j-NUM-MATH, volume = "22", number = "2", pages = "99--109", month = apr, year = "1974", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01436724", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Univ. Chicago, IL, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; continuous piecewise polynomial spaces; function approximation; Galerkin approximations; polynomials; two point boundary problem", treatment = "T Theoretical or Mathematical", } @Article{Menke:1974:BNK, author = "Klaus Menke", title = "{Bestimmung von N{\"a}herungen f{\"u}r die konforme Abbildung mit Hilfe von station{\"a}ren Punksystemen}. ({German}) [{Determination of the best approximation for conformal mapping with help of stationary point system}]", journal = j-NUM-MATH, volume = "22", number = "2", pages = "111--117", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:23:20 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Dortmund, West Germany", fjournal = "Numerische Mathematik", keywords = "best approximation; closed analytic Jordan curve; conformal mapping; extremal points; function approximation; stationary point system", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Barrar:1974:AEM, author = "R. B. Barrar and Henry L. Loeb", title = "Analytic extended monosplines", journal = j-NUM-MATH, volume = "22", number = "2", pages = "119--125", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:53:36 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Oregon, Eugene, OR, USA", fjournal = "Numerische Mathematik", keywords = "analytic extended monosplines; extended varisolvence; function approximation; Karlin; moment problem; nonlinear approximation problems; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Geistbeck:1974:OFD, author = "F. Geistbeck and A. Sachs", title = "{Optimale Fehlerabsch{\"a}tzungen mit dualen Funktionalen bei semilinearen Randwertaufgaben gew{\"o}hnlicher Differentialgleichungen}. ({German}) [{Optimal error estimations with dual functionals for boundary value problems of ordinary semilinear differential equations}]", journal = j-NUM-MATH, volume = "22", number = "2", pages = "127--136", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", fjournal = "Numerische Mathematik", keywords = "approximate solutions; boundary value problems; boundary-value problems; differential equations; dual functionals; error analysis; optimal error estimations; optimized; ordinary semilinear differential equations; polynomials; variational error bounds", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Brosowski:1974:VAG, author = "Bruno Brosowski and K.-H. Hoffmann", title = "{Eine Variationsungleichung und Anwendungen}. ({German}) [{A variational inequality and its application}]", journal = j-NUM-MATH, volume = "22", number = "2", pages = "137--147", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:24:54 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Univ. G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", keywords = "best approximation; global conditions; minimisation; minimum; nondifferentiable function; optimization; variational inequality", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Natterer:1974:EML, author = "Frank Natterer and Bodo Werner", title = "{Eine Erweiterung des Maximumsprinzips f{\"u}r den Laplaceschen Operator}. ({German}) [{An extension of the maximum principle for the {Laplace} operator}]", journal = j-NUM-MATH, volume = "22", number = "2", pages = "149--155", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:26:39 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Univ. Saarlandes, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", keywords = "continuous functions; Dirichlet problem; Laplace operator; maximum principle; nonnegative functional; optimisation; piecewise continuous first and second derivatives", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Anderssen:1974:NDP, author = "R. S. Anderssen and P. Bloomfield", title = "Numerical differentiation procedures for non-exact data", journal = j-NUM-MATH, volume = "22", number = "3", pages = "157--182", month = jun, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Australian Nat. Univ., Canberra, Australia", fjournal = "Numerische Mathematik", keywords = "differentiation; nonexact data; numerical differentiation; regression analysis; spectrum analysis", treatment = "T Theoretical or Mathematical", } @Article{Erisman:1974:MST, author = "A. M. Erisman and J. K. Reid", title = "Monitoring the Stability of the Triangular Factorization of a Sparse Matrix", journal = j-NUM-MATH, volume = "22", number = "3", pages = "183--186", month = jun, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Boeing Computer Services Inc., Seattle, WA, USA", fjournal = "Numerische Mathematik", keywords = "accuracy; computational cost; Gaussian elimination; iterative refinement; linear algebra; lud; nla; numerical instability; pivoting; sparse; sparse matrix; sparsity pattern; stability; triangular factorization", treatment = "T Theoretical or Mathematical", } @Article{Knauff:1974:OAL, author = "W. Knauff and R. Kre{\ss}", title = "{Optimale Approximation linearer Funktionale auf periodischen Funktionen}. ({German}) [{Optimal approximation of linear functionals on periodic functions}]", journal = j-NUM-MATH, volume = "22", number = "3", pages = "187--205", month = jun, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 12:18:18 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lehrstuhle Numerische Angewandte Mathematik, G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", keywords = "bounded linear functionals; conjugate harmonic functions; Davis' method; equidistant nodes; error norms; function approximation; Hardy spaces; Hilbert space; linear functionals; numerical approximation; numerical integration; optimal approximation; optimal rules; periodic functions; Sobolev spaces; total orthonormal system; weights", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Chawla:1974:ORP, author = "M. M. Chawla and Veena Kaul", title = "Optimal rules with polynomial precision for {Hilbert} spaces possessing reproducing kernel functions", journal = j-NUM-MATH, volume = "22", number = "3", pages = "207--218", month = jun, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Indian Inst. Technol, Hauz Khas, New Delhi, India", fjournal = "Numerische Mathematik", keywords = "function approximation; functions analytic in a circle; Hilbert spaces; interpolatory; numerical integration; optimal rules; periodic analytic functions; polynomial precision; polynomials; preassigned abscissas; reproducing kernel functions; weights", treatment = "T Theoretical or Mathematical", } @Article{Braess:1974:RIN, author = "Dietrich Braess", title = "{Rationale Interpolation, Normalit{\"a}t und Monosplines}. ({German}) [{Rational interpolation, normality and monosplines}]", journal = j-NUM-MATH, volume = "22", number = "3", pages = "219--232", month = jun, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 12:19:32 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Ruhr. Univ., Bochum, West Germany", fjournal = "Numerische Mathematik", keywords = "error; interpolation; monosplines; normality; rational interpolation; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Richert:1974:FET, author = "Walter R. Richert", title = "{Zur Fehlerabsch{\"a}tzung f{\"u}r Eigenwertaufgaben vom Typ {$(\lambda^2 I - \lambda A - B) x = 0$}}. ({German}) [{Error bounds construction for eigenvalue distances of the problem {$(\lambda^2 I - \lambda A - B) x = 0$}}]", journal = j-NUM-MATH, volume = "22", number = "3", pages = "233--239", month = jun, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 12:21:13 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Ludwig-Maximiliano Univ., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", keywords = "eigenvalue distances; eigenvalues and eigenfunctions; error analysis; error bounds construction; linear algebra; separable Hilbert space", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Kammerer:1974:QIS, author = "W. J. Kammerer and G. W. Reddien and R. S. Varga", title = "Quadratic Interpolatory Splines", journal = j-NUM-MATH, volume = "22", number = "4", pages = "241--259", month = aug, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Graphics/imager/imager.75.bib; Graphics/siggraph/pre75.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Georgia Inst. Technol., Atlanta, GA, USA", fjournal = "Numerische Mathematik", keywords = "boundary value problems; boundary-value problems; error bounds; interpolation; numerical solution; projectional properties; quadratic interpolatory splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Makela:1974:CCC, author = "Matti M{\"a}kel{\"a} and Olavi Nevanlinna and Aarne H. Sipil{\"a}", title = "On the concepts of convergence, consistency, and stability in connection with some numerical methods", journal = j-NUM-MATH, volume = "22", number = "4", pages = "261--274", month = aug, year = "1974", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01406967", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Helsinki Univ., Finland", fjournal = "Numerische Mathematik", keywords = "asymptotic theory; boundary-value problems; consistency; convergence; convergence of numerical methods; differential equations; discretization methods; initial value problems; numerical methods; ordinary differential equations; stability; weakly nonlinear methods", treatment = "T Theoretical or Mathematical", } @Article{Richert:1974:HEP, author = "Walter R. Richert", title = "On the handling of eigenvalue problems with the parameter of nonlinear form", journal = j-NUM-MATH, volume = "22", number = "4", pages = "275--287", month = aug, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Ludwig Maximilians Univ., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", keywords = "eigenvalue problems; eigenvalues and eigenfunctions; function approximation; Hilbert space; quadratic form", treatment = "T Theoretical or Mathematical", } @Article{Deuflhard:1974:MNM, author = "P. Deuflhard", title = "A modified {Newton} method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting", journal = j-NUM-MATH, volume = "22", number = "4", pages = "289--315", month = aug, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:53:47 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Mathematisches Inst., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary value problems; ill conditioned systems of nonlinear equations; iteration; iterative methods; modified Newton method; multiple shooting; nearly singular Jacobian; nonlinear equations; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Chawla:1974:NEI, author = "M. M. Chawla and T. R. Ramakrishnan", title = "Numerical evaluation of integrals of periodic functions with {Cauchy} and {Poisson} type kernels", journal = j-NUM-MATH, volume = "22", number = "4", pages = "317--323", month = aug, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Indian Inst. Technol., New Delhi, India", fjournal = "Numerische Mathematik", keywords = "Cauchy type kernels; functions; integration; numerical evaluation of integrals; numerical methods; periodic functions; Poisson type kernels", treatment = "T Theoretical or Mathematical", } @Article{Jennings:1974:DEA, author = "L. S. Jennings and M. R. Osborne", title = "A Direct Error Analysis for Least Squares", journal = j-NUM-MATH, volume = "22", number = "4", pages = "325--332", month = aug, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in {\AA ke Bj\"orck}'s bibliography on least squares, which is available by anonymous ftp from {\tt math.liu.se} in {\tt pub/references}.", classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "Numerische Mathematik", keywords = "column pivoting; direct error analysis; error analysis; least squares approximations; least squares solution; lsq; matrix algebra; nla; orthogonal factorization methods; overdetermined system of linear equations; rounding error", treatment = "T Theoretical or Mathematical", } @Article{Kall:1974:ASP, author = "Peter Kall", title = "Approximations to stochastic programs with complete fixed recourse", journal = j-NUM-MATH, volume = "22", number = "4", pages = "333--339", month = aug, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Univ. Zurich, Switzerland", fjournal = "Numerische Mathematik", keywords = "approximations; complete fixed recourse; convergence; error bounds; finite discrete distributions; function approximation; mathematical programming; optimal values; probability; probability distribution; stochastic programs", treatment = "T Theoretical or Mathematical", } @Article{Kung:1974:CRP, author = "H. T. Kung", title = "On computing reciprocals of power series", journal = j-NUM-MATH, volume = "22", number = "5", pages = "341--348", month = oct, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Tanabe:1974:CLS, author = "Kunio Tanabe", title = "Characterization of linear stationary iterative processes for solving a singular system of linear equations", journal = j-NUM-MATH, volume = "22", number = "5", pages = "349--359", month = oct, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Rissanen:1974:SLE, author = "Jorma Rissanen", title = "Solution of linear equations with {Hankel} and {Toeplitz} matrices", journal = j-NUM-MATH, volume = "22", number = "5", pages = "361--366", month = oct, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:13:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Abrahamsson:1974:DAS, author = "L. R. Abrahamsson and H. B. Keller and H. O. Kreiss", title = "Difference approximations for singular perturbations of systems of ordinary differential equations", journal = j-NUM-MATH, volume = "22", number = "5", pages = "367--391", month = oct, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. Computer Sci., Uppsala, Sweden", fjournal = "Numerische Mathematik", keywords = "boundary value problems; boundary-value problems; difference approximations; differential equations; ordinary differential equations; singular perturbations; uniform stepsize", treatment = "T Theoretical or Mathematical", } @Article{Astor:1974:DS, author = "P. H. Astor and C. S. Duris", title = "Discrete {$L$}-splines", journal = j-NUM-MATH, volume = "22", number = "5", pages = "393--402", month = oct, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Drexel Univ., Philadelphia, PA, USA", fjournal = "Numerische Mathematik", keywords = "best approximation; continuous L splines; discrete functions; discrete L splines; interpolation; interpolatory splines; linear difference operator; minimum norm property; splines (mathematics); summation relations", treatment = "T Theoretical or Mathematical", } @Article{Chan:1974:MOM, author = "Paula P. Chan", title = "A monotone operator method for the solution of {Fredholm} integral equations", journal = j-NUM-MATH, volume = "22", number = "5", pages = "403--408", month = oct, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Cleveland State Univ., OH, USA", fjournal = "Numerische Mathematik", keywords = "Fredholm integral equations; integral equations; monotone operator", treatment = "T Theoretical or Mathematical", } @Article{Hettich:1974:KZO, author = "R. Hettich", title = "{Kriterien zweiter Ordnung f{\"u}r lokal beste Approximationen}. ({German}) [{Second-order conditions for locally best approximations}]", journal = j-NUM-MATH, volume = "22", pages = "409--417", month = oct, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:52:23 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "German", } @Article{Wimp:1974:TAL, author = "J. Wimp", title = "{Toeplitz} arrays, linear sequence transformations and orthogonal polynomials", journal = j-NUM-MATH, volume = "23", number = "1", pages = "1--17", month = feb, year = "1974", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01409986", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Drexel Univ., Philadelphia, PA, USA", fjournal = "Numerische Mathematik", keywords = "Bessel polynomials; convergence; infinite array of complex numbers; Legendre polynomials; linear sequence transformations; orthogonal polynomials; polynomials; series (mathematics); Toeplitz arrays; transforms", treatment = "T Theoretical or Mathematical", } @Article{Pecka:1974:EWQ, author = "F. Pecka", title = "On equally weighted quadratures", journal = j-NUM-MATH, volume = "23", number = "1", pages = "19--22", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "J. E. Purkyne Univ., Brno, Czechoslovakia", fjournal = "Numerische Mathematik", keywords = "Chebyshev approximation; Chebyshev quadratures; equally weighted quadratures; integration; interpolation; interpolatory quadratures; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Voigt:1974:LMA, author = "A. Voigt", title = "Line method approximations to the {Cauchy} problem for nonlinear parabolic differential equations", journal = j-NUM-MATH, volume = "23", number = "1", pages = "23--36", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Karlsruhe, West Germany", fjournal = "Numerische Mathematik", keywords = "Cauchy problem; convergence; existence; heat equation; line method approximations; longitudinal method of lines; monotonicity; nonlinear differential equations; nonlinear parabolic differential equations; partial differential equations; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Mock:1974:SNT, author = "M. S. Mock", title = "Solution of a nonlinear two point boundary value problem", journal = j-NUM-MATH, volume = "23", number = "1", pages = "37--46", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Computing Centre, New York, NY, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; discrete equations; finite element analysis; finite element approximation; nonlinear differential equations; nonlinear two point boundary value problem; partial differential equations; singular second order nonlinear two point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Demoulin:1974:IMS, author = "Yves-Marie J. Demoulin and Y. M. Chen", title = "An iteration method for studying the bifurcation of solutions of the nonlinear equations, {$L(\lambda)u+ \epsilon R( \lambda,u)=0$}", journal = j-NUM-MATH, volume = "23", number = "1", pages = "47--61", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290K (Nonlinear and functional equations); C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", corpsource = "State Univ. New York, Stony Brook, NY, USA", fjournal = "Numerische Mathematik", keywords = "bifurcation; eigenvalues and eigenfunctions; iterative method; iterative methods; linear constrain; multiple eigenvalues; nonlinear equation; nonlinear equations", treatment = "T Theoretical or Mathematical", } @Article{LaPorte:1974:ESE, author = "M. {La Porte} and J. Vignes", title = "{\'E}tude Statistique des Erreurs Dans l'Arithm{\'e}tique des Ordinateurs; Application au Contr{\^o}le des {R}{\'e}sultats d'Algorithmes Num{\'e}riques. ({French}) [{Statistical} Study of Errors in Computer Arithmetic: Application to the Control of the Results of Numerical Algorithms]", journal = j-NUM-MATH, volume = "23", number = "1", pages = "63--72", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra); C5230 (Digital arithmetic methods)", corpsource = "Inst. Fran{\c{c}}ais P{\'e}trole, Rueil-Malmaison, France", fjournal = "Numerische Mathematik", keywords = "algebraic equations; approximation; digital arithmetic; digital computer; error analysis; linear algebra; linear systems; matrix algebra; matrix inversion; na; numerical calculations; numerical error; numerical methods; rounding error; significant digits; statistical evaluation; stochastic analysis; validity", language = "French", treatment = "T Theoretical or Mathematical", } @Article{LaPorte:1974:MND, author = "M. {La Porte} and J. Vignes", title = "{M{\'e}thode} Num{\'e}rique de {D}{\'e}tection de la Singularit{\'e} d'Une Matrice. ({French}) [{Numerical} method of detection of matrix singularity]", journal = j-NUM-MATH, volume = "23", number = "1", pages = "73--81", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Inst. Fran{\c{c}}ais P{\'e}trole, Rueil-Malmaison, France", fjournal = "Numerische Mathematik", keywords = "degree of conditioning; finite precision; matrix algebra; matrix singularity; nla; numerical method; pert; rank determination; well conditioned", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Morel:1974:PIV, author = "Paul Morel", title = "Sur le probl{\`e}me inverse des valeurs propres. ({French}) [{On} the Inverse Eigenvalue Problem]", journal = j-NUM-MATH, volume = "23", number = "1", pages = "83--94", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "French", } @Article{Herz:1974:ZTA, author = "B. Herz", title = "{Zerfallende Tridiagonalematrizen und aneinandergesetzte Sturmsche Ketten}. ({German}) [{Decomposable tridiagonal matrices and contiguous {Sturm} sequences}]", journal = j-NUM-MATH, volume = "23", number = "1", pages = "95--98", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 12:22:46 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Tech. Univ. Berlin, West Germany", fjournal = "Numerische Mathematik", keywords = "algebraic correct algorithm; bisection method; decomposable matrices; eigenvalues; eigenvalues and eigenfunctions; matrix algebra; symmetric tridiagonal matrix", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Nicolaides:1974:GAS, author = "R. A. Nicolaides", title = "On a Geometrical Aspect of {SOR} and the Theory of Consistent Ordering for Positive Definite Matrices", journal = j-NUM-MATH, volume = "23", number = "2", pages = "99--104", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "California Inst. Technol., Pasadena, CA, USA", fjournal = "Numerische Mathematik", keywords = "consistent ordering; geometrical aspect; iterative methods; linear algebra; nla; positive definite matrices; positive definite matrix; relaxation; similarity transformation; SOR; successive overrelaxation operator", treatment = "T Theoretical or Mathematical", } @Article{Barrar:1974:EOI, author = "R. B. Barrar and Henry L. Loeb and Helmut Werner", title = "On the existence of optimal integration formulas for analytic functions", journal = j-NUM-MATH, volume = "23", number = "2", pages = "105--117", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Oregon, Eugene, OR, USA", fjournal = "Numerische Mathematik", keywords = "analytic functions; existence; Hilbert space; integration; optimal integration formulas", treatment = "T Theoretical or Mathematical", } @Article{Russell:1974:CSB, author = "Robert D. Russell", title = "Collocation for systems of boundary value problems", journal = j-NUM-MATH, volume = "23", number = "2", pages = "119--133", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Simon Fraser Univ., Burnaby, BC, Canada", fjournal = "Numerische Mathematik", keywords = "boundary value problems; boundary-value problems; collocation; first order differential equations subject; multipoint linear constraints; nonlinear differential equations; nonlinear system; piecewise polynomial functions; polynomials; Richardson's extrapolation", treatment = "T Theoretical or Mathematical", } @Article{Schwarz:1974:MCO, author = "H. R. Schwarz", title = "The method of coordinate overrelaxation for {$(A- \lambda B)x=0$}", journal = j-NUM-MATH, volume = "23", number = "2", pages = "135--151", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Zurich, Switzerland", fjournal = "Numerische Mathematik", keywords = "asymptotic convergence; coordinate overrelaxation; eigenvalues and eigenfunctions; eigenvector; general eigenvalue problem; iteration matrix; iterative methods; matrix algebra; smallest eigenvalue; spline functions; successive overrelaxation method; vibrating string", treatment = "T Theoretical or Mathematical", } @Article{King:1974:NEB, author = "J. T. King", title = "New error bounds for the penalty method and extrapolation", journal = j-NUM-MATH, volume = "23", number = "2", pages = "153--165", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Univ. Cincinnati, OH, USA", fjournal = "Numerische Mathematik", keywords = "Babu{\v{s}}ka penalty method; boundary weight; cubic spline approximants; error analysis; error bounds; extrapolation; function approximation; penalty method; quasioptimal approximate solution; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Gekeler:1974:CND, author = "E. Gekeler", title = "On the convergence of the {von Neumann} difference approximation to hyperbolic initial boundary value problems", journal = j-NUM-MATH, volume = "23", number = "2", pages = "167--174", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Stuttgart, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; convergence; convergence of numerical methods; eigenvalue expansion; generalised wave equation; hyperbolic initial boundary value problems; implicit finite difference approximation; partial differential equations; uniform convergent; von Neumann difference approximation", treatment = "T Theoretical or Mathematical", } @Article{Kedem:1974:TGL, author = "Gershon Kedem and S. K. Zaremba", title = "A table of good lattice points in three dimensions", journal = j-NUM-MATH, volume = "23", number = "2", pages = "175--180", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", keywords = "good lattice points; integration; numerical computation; table; three dimensional lattice points; three dimensions; triple integrals", treatment = "T Theoretical or Mathematical", } @Article{Schuller:1974:OCC, author = "G{\"u}nther Schuller", title = "On the order of convergence of certain {quasi-Newton} methods", journal = j-NUM-MATH, volume = "23", number = "2", pages = "181--192", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Univ. Wurzburg, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; function minimisations; minimisation; order of convergence; quasi Newton methods", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1975:SPF, author = "Jim {Douglas, Jr.} and Todd Dupont and Lars Wahlbin", title = "The stability in {$L^q$} of the {$L^2$}-projection into finite element function spaces", journal = j-NUM-MATH, volume = "23", number = "3", pages = "193--197", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Cornell Univ., Ithaca, NY, USA", fjournal = "Numerische Mathematik", keywords = "finite element analysis; finite element function spaces; function approximation; quasioptimal approximation; stability", treatment = "T Theoretical or Mathematical", } @Article{deHoog:1975:IRM, author = "F. de Hoog and R. Weiss", title = "Implicit {Runge--Kutta} methods for second kind {Volterra} integral equations", journal = j-NUM-MATH, volume = "23", number = "3", pages = "199--213", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Univ. California, Los Angeles, CA, USA", fjournal = "Numerische Mathematik", keywords = "A stable; convergent; implicit Runge/Kutta methods; integral equations; interpolatory quadrature formulae; numerically stable; quadrature formulae; Runge--Kutta methods; second kind Volterra integral equations; stiffly A stable", treatment = "T Theoretical or Mathematical", } @Article{Chatelin:1975:MRR, author = "F. Chatelin and M. J. Lemordant", title = "La m{\'e}thode de {Rayleigh--Ritz} appliqu{\'e}e {\`a} des op{\'e}rateurs diff{\'e}rentielles elliptiques --- ordres de convergence des {\'e}l{\'e}ments propres. ({French}) [{The Rayleigh--Ritz} method applied to elliptic differential operators --- orders of convergence of proper elements]", journal = j-NUM-MATH, volume = "23", number = "3", pages = "215--222", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. Recherches and Mathematiques Avanc{\'e}es, Grenoble, France", fjournal = "Numerische Mathematik", keywords = "asymptotic equalities; compact selfadjoint operator; convergence; convergence of numerical methods; eigen elements; eigenvalues and eigenfunctions; elliptic differential operators; function approximation; Rayleigh/Ritz method; self adjoint elliptic differential operators", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Sanchez:1975:ISB, author = "David A. S{\'a}nchez", title = "An iteration scheme for boundary value\slash alternative problems", journal = j-NUM-MATH, volume = "23", number = "3", pages = "223--230", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Univ. California, Los Angeles, CA, USA", fjournal = "Numerische Mathematik", keywords = "auxiliary equation; bifurcation equation; boundary value/alternative problems; boundary-value problems; convergence; iteration scheme; iterative methods; nonlinear boundary value problems; nonlinear equations", treatment = "T Theoretical or Mathematical", } @Article{Thomas:1975:ASO, author = "K. S. Thomas", title = "On the approximate solution of operator equations", journal = j-NUM-MATH, volume = "23", number = "3", pages = "231--239", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Oxford, Univ., UK", fjournal = "Numerische Mathematik", keywords = "approximate solution; discretisation methods; error analysis; error estimates; function approximation; linear operator equations; operator equations; prolongations; restrictions", treatment = "T Theoretical or Mathematical", } @Article{vanderSluis:1975:SSL, author = "A. van der Sluis", title = "Stability of the Solutions of Linear Least Squares Problems", journal = j-NUM-MATH, volume = "23", number = "3", pages = "241--254", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Rijksuniv, Utrecht-Uithof, Netherlands", fjournal = "Numerische Mathematik", keywords = "error analysis; errors; geometrical explanation; least squares approximations; linear least squares problems; orthogonal transformations; stability; upper bounds", treatment = "T Theoretical or Mathematical", } @Article{Vitek:1975:BCP, author = "Yehoshua Vitek", title = "A bound connected with primitive matrices", journal = j-NUM-MATH, volume = "23", number = "3", pages = "255--260", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Technion-Israel Inst. Technol., Haifa, Israel", fjournal = "Numerische Mathematik", keywords = "bound; matrix algebra; primitive matrices", treatment = "T Theoretical or Mathematical", } @Article{Pereyra:1975:MSD, author = "V. Pereyra and E. G. Sewell", title = "Mesh selection for discrete solution of boundary problems in ordinary differential equations", journal = j-NUM-MATH, volume = "23", number = "3", pages = "261--268", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Depto. Computacion, Caracas, Venezuela", fjournal = "Numerische Mathematik", keywords = "boundary problems; boundary-value problems; differential equations; discrete solution; equidistributing meshes; error estimates; finite difference approximations; local truncation error; mesh selection; nonuniform meshes; ordinary differential equations", treatment = "T Theoretical or Mathematical", } @Article{Fairweather:1975:EGM, author = "G. Fairweather and J. P. Johnson", title = "On the extrapolation of {Galerkin} methods for parabolic problems", journal = j-NUM-MATH, volume = "23", number = "3", pages = "269--287", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Kentucky, Lexington, KY, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; extrapolation; Galerkin methods; initial boundary value problems; parabolic problems; partial differential equations; Richardson extrapolation", treatment = "T Theoretical or Mathematical", } @Article{Wahlbin:1975:EEG, author = "Lars Wahlbin", title = "Error estimates for a {Galerkin} method for a class of model equations for long waves", journal = j-NUM-MATH, volume = "23", number = "4", pages = "289--303", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Cornell Univ., Ithaca, NY, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; error analysis; error estimates; Gelerkin method; long waves; model equations; partial differential equations; periodic initial value problem; piecewise polynomial spaces; second order time discretization; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Schiop:1975:SRP, author = "Alexandru I. {\c{S}}chiop", title = "On the stability of the {Ritz} procedure for nonlinear problems", journal = j-NUM-MATH, volume = "23", number = "4", pages = "305--310", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Roumanian Acad. Sci., Bucharest, Romania", fjournal = "Numerische Mathematik", keywords = "Hilbert space; linear positive definite operator; monotone nonlinear operator; nonlinear equation; nonlinear equations; numerical methods; Ritz procedure; stability", treatment = "T Theoretical or Mathematical", } @Article{Elliott:1975:CQR, author = "David Elliott and D. F. Paget", title = "On the convergence of a quadrature rule for evaluating certain {Cauchy} principal value integrals", journal = j-NUM-MATH, volume = "23", number = "4", pages = "311--319", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Tasmania, Hobart, Tas., Australia", fjournal = "Numerische Mathematik", keywords = "approximate evaluation; Cauchy principle value integrals; convergence; convergence of numerical methods; function approximation; Holder condition; integration; quadrature rule", treatment = "T Theoretical or Mathematical", } @Article{Reimer:1975:ESP, author = "Manfred Reimer", title = "{Auswertungsverfahren f{\"u}r Polynome in mehreren Variablen}. ({German}) [{Evaluation schemes for polynomials in more than one variable}]", journal = j-NUM-MATH, volume = "23", number = "4", pages = "321--336", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Fri May 30 07:29:32 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Dortmund, West Germany", fjournal = "Numerische Mathematik", keywords = "Clenshaw's method; error bounds; evaluation schemes; function approximation; Horner's scheme; multivariable polynomials; polynomials; stability", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1975:NEI, author = "Walter Gautschi", title = "Norm Estimates for Inverses of {Vandermonde} Matrices", journal = j-NUM-MATH, volume = "23", number = "4", pages = "337--347", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Purdue Univ., La Fayette, IN, USA", fjournal = "Numerische Mathematik", keywords = "asymptotic estimates; inverses; matrix algebra; norm estimates; scaling; Vandermonde matrices", treatment = "T Theoretical or Mathematical", } @Article{Lafon:1975:BTM, author = "Jean-Claude Lafon", title = "Base tensorielle de matrices de {Hankel} (ou de {Toeplitz}): Applications. ({French}) [{Tensorial} bases of {Hankel} (or {Toeplitz}) matrices Applications]", journal = j-NUM-MATH, volume = "23", number = "4", pages = "349--361", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Sci. and M{\'e}dicale, Grenoble, France", fjournal = "Numerische Mathematik", keywords = "Hankel matrices; lower triangular Toeplitz matrix; matrix algebra; polynomial product; tensorial bases; Toeplitz matrices", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Brezinski:1975:FCA, author = "C. Brezinski", title = "Forme confluente de l'$\varepsilon$-algorithme topologique. ({French}) [{Confluent} form of the topological $\varepsilon$-algorithm]", journal = j-NUM-MATH, volume = "23", number = "4", pages = "363--370", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "UER IEEA., Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", keywords = "confluent form; convergence; convergence of numerical methods; matrix algebra; topological epsilon algorithm; topological vector space; topology", language = "French", treatment = "T Theoretical or Mathematical", } @Article{McCormick:1975:IPS, author = "Steve F. McCormick", title = "An iterative procedure for the solution of constrained nonlinear equations with application to optimization problems", journal = j-NUM-MATH, volume = "23", number = "5", pages = "371--385", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Colorado State Univ., Fort Collins, CO, USA", fjournal = "Numerische Mathematik", keywords = "constrained nonlinear equations; Hilbert spaces; iterative methods; iterative procedure; nonlinear equations; optimisation; optimization problems; solution", treatment = "T Theoretical or Mathematical", } @Article{Natterer:1975:DSR, author = "Frank Natterer", title = "{Das Differenzenverfahren f{\"u}r singul{\"a}re Rand-Eigenwertaufgaben gew{\"o}nlicher Differentialgleichungen}. ({German}) [{The difference method for singular boundary\slash eigenvalues of ordinary differential equations}]", journal = j-NUM-MATH, volume = "23", number = "5", pages = "387--409", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Fri May 30 07:36:21 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Saarlandes, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary value problem; boundary-value problems; convergence of numerical methods; convergence rates; difference equations; difference method; eigenvalues; eigenvalues and eigenfunctions; second order differential operators; singular; three point discretisation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Hald:1975:NTM, author = "Ole H. Hald", title = "On a {Newton-Moser} type method", journal = j-NUM-MATH, volume = "23", number = "5", pages = "411--426", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Univ. California, Berkeley, CA, USA", fjournal = "Numerische Mathematik", keywords = "arithmetic; error analysis; error bounds; iterative method; iterative methods; Moser; Newton; nonlinear equations; quadratically convergent; variant", treatment = "T Theoretical or Mathematical", } @Article{Pittnauer:1975:AAG, author = "E. Pittnauer", title = "{Eine Aussage {\"u}ber Alternanten}. ({German}) [{A proposition on alternants}]", journal = j-NUM-MATH, volume = "23", number = "5", pages = "427--432", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:05:36 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Ruhr-Univ. Bochum, West Germany", fjournal = "Numerische Mathematik", keywords = "alternants; error function; estimate; function approximation; maxima; minima; polynomial", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Schroder:1975:ULB, author = "Johan Schr{\"o}der", title = "Upper and lower bounds for solutions of generalized two-point boundary value problems", journal = j-NUM-MATH, volume = "23", number = "5", pages = "433--457", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Koln, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary value problems; boundary-value problems; bounds; differential equations; generalized; integrodifferential equations; lower; solutions; two point; upper", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1975:OCV, author = "Walter Gautschi", title = "Optimally Conditioned {Vandermonde} Matrices", journal = j-NUM-MATH, volume = "24", number = "1", pages = "1--12", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290H (Linear algebra); C1180 (Optimisation techniques); C4140 (Linear algebra)", corpsource = "Purdue Univ., W. Lafayette, IN, USA", fjournal = "Numerische Mathematik", keywords = "condition number; matrix algebra; minimisation; minimize; nonlinear constraints; nonlinear minimax problem; nonlinear programming; optimally conditioned Vandermonde matrices; symmetric point configurations", treatment = "T Theoretical or Mathematical", } @Article{Salkauskas:1975:WFC, author = "K. Salkauskas", title = "On weight functions for {Chebyshev} quadrature", journal = j-NUM-MATH, volume = "24", number = "1", pages = "13--18", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0230 (Integral transforms); B0290F (Interpolation and function approximation); C1130 (Integral transforms); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Statistics and Computing Sci., Univ. of Calgary, Alta., Canada", fjournal = "Numerische Mathematik", keywords = "Chebyshev approximation; Chebyshev quadrature; integral transforms; moment sequences; probabilistic; transforms; weight functions", treatment = "T Theoretical or Mathematical", } @Article{Greenberg:1975:ADR, author = "Harold Greenberg", title = "An algorithm for determining redundant inequalities and all solutions to convex polyhedra", journal = j-NUM-MATH, volume = "24", number = "1", pages = "19--26", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Statistics, Tel-Aviv Univ., Tel-Aviv, Israel", fjournal = "Numerische Mathematik", keywords = "convex polyhedra; function approximation; linear inequalities; polyhedral cone; redundant inequalities; unbounded polyhedra", treatment = "T Theoretical or Mathematical", } @Article{Omodei:1975:SRP, author = "B. J. Omodei and R. S. Anderssen", title = "Stability of the {Rayleigh--Ritz} procedure for nonlinear two-point boundary value problems", journal = j-NUM-MATH, volume = "24", number = "1", pages = "27--38", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "Numerische Mathematik", keywords = "B-splines; boundary-value problems; bounded polyhedra; nonlinear two point boundary value problems; partial differential equations; Rayleigh Ritz procedure; stability; strongly minimal", treatment = "T Theoretical or Mathematical", } @Article{LaPorte:1975:EIS, author = "M. {La Porte} and J. Vignes", title = "Evaluation de l'incertitude sur la solution d'un syst\`eme lin{\'e}aire. ({French}) [{Evaluation} of the uncertainty in the solution of a linear system]", journal = j-NUM-MATH, volume = "24", number = "1", pages = "39--47", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Inst. Fran{\c{c}}ais du P{\'e}trole, Rueil Malmaison, France", fjournal = "Numerische Mathematik", keywords = "accuracy; error analysis; finite precision; linear algebra; linear algebraic systems; linear system; nla; numerical method; pert", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Deutsch:1975:MNL, author = "Emeric Deutsch", title = "On matrix norms and logarithmic norms", journal = j-NUM-MATH, volume = "24", number = "1", pages = "49--51", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Polytech. Inst. of New York, Brooklyn, NY, USA", fjournal = "Numerische Mathematik", keywords = "ellipsoidal norms; infimums; logarithmic norms; matrix algebra; matrix norms; spectral abscissa; spectral radius", treatment = "T Theoretical or Mathematical", } @Article{Mock:1975:GPE, author = "M. S. Mock", title = "A global a posteriori error estimate for quasilinear elliptic problems", journal = j-NUM-MATH, volume = "24", number = "1", pages = "53--61", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA", fjournal = "Numerische Mathematik", keywords = "arbitrary Reynolds number; error analysis; finite element analysis; finite element methods; Fourier series method; global a posteriori error estimate; partial differential equations; quasilinear elliptic problems; stationary Navier Stokes problem", treatment = "T Theoretical or Mathematical", } @Article{Deutsch:1975:BGG, author = "E. Deutsch and C. Zenger", title = "On {Bauer}'s generalized {Gershgorin} discs", journal = j-NUM-MATH, volume = "24", number = "1", pages = "63--70", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Fachhochschule des Landes Kartause, West Germany", fjournal = "Numerische Mathematik", keywords = "Bauer's generalized Gershgorin discs; eigenvalue inclusion theorems; eigenvalues and eigenfunctions; matrices; matrix algebra; Perron Frobenius theory", treatment = "T Theoretical or Mathematical", } @Article{Yamamoto:1975:DEI, author = "Tetsuro Yamamoto", title = "On the distribution of errors in the iterative solution of a system of linear equations", journal = j-NUM-MATH, volume = "24", number = "1", pages = "71--79", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Ehime Univ., Matsuyama, Japan", fjournal = "Numerische Mathematik", keywords = "error analysis; error distribution; iterative solution; linear equations; matrix algebra; Peradze's theorem; real matrix; real vector", treatment = "T Theoretical or Mathematical", } @Article{Henrich:1975:NES, author = "C. J. Henrich", title = "On the numerical evaluation of a sum involving binomial coefficients", journal = j-NUM-MATH, volume = "24", number = "1", pages = "81--83", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Dept. of Math., Fordham Univ., Bronx, NY, USA", fjournal = "Numerische Mathematik", keywords = "alternating signs; binomial coefficients; function evaluation; integral; logarithmic Weibull distribution; numerical evaluation of a sum", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1975:CMC, author = "G. W. Stewart", title = "The convergence of the method of conjugate gradients at isolated extreme points of the spectrum", journal = j-NUM-MATH, volume = "24", number = "2", pages = "85--93", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Carnegie-Mellon Univ., Computer Sci. Dept., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", keywords = "bounds; convergence; convergence of numerical methods; eigenvalue; eigenvalues and eigenfunctions; error vectors; isolated extreme points; linear system; matrix algebra; method of conjugate gradients", treatment = "T Theoretical or Mathematical", } @Article{Nicolaides:1975:LCC, author = "R. A. Nicolaides", title = "On the local convergence of certain two step iterative procedures", journal = j-NUM-MATH, volume = "24", number = "2", pages = "95--101", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Imperial Coll. of Sci. and Technol., London, UK", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; iterative methods; local convergence; second order Richardson algorithm; two step iterative procedures", treatment = "T Theoretical or Mathematical", } @Article{Brezzi:1975:MEF, author = "F. Brezzi", title = "Sur la m{\'e}thode des {\'e}l{\'e}ments finis hybrides pour le probl{\`e}me biharmonique. ({French}) [{On} Hybrid Finite Element Methods for the Biharmonic Problem]", journal = j-NUM-MATH, volume = "24", number = "2", pages = "103--131", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", language = "French", } @Article{Davies:1975:GCH, author = "M. Davies and B. Dawson", title = "On the global convergence of {Halley}'s iteration formula", journal = j-NUM-MATH, volume = "24", number = "2", pages = "133--135", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Surrey, Guildford, UK", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; function approximation; global convergence; Halley's iteration formula; iterative methods; Ostrowski's square root technique; point iterative process", treatment = "T Theoretical or Mathematical", } @Article{Hofmann:1975:MHA, author = "Wolf Hofmann", title = "{Monotonies{\"a}tze f{\"u}r hyperbolische Anfangswertaufgaben und Einschlie{\ss}ung von L{\"o}sungen}. ({German}) [{Monotonicity theorems for hyperbolic initial value problems and solution enclosure}]", journal = j-NUM-MATH, volume = "24", number = "2", pages = "137--149", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Fri May 30 07:44:49 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. Angewandte Math., Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; hyperbolic differential operators; hyperbolic initial value problems; iteration methods; iterative methods; monotonicity properties; numerical examples; partial differential equations", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Lightbourne:1975:PSF, author = "J. H. {Lightbourne, III} and R. H. {Martin, Jr.}", title = "Projection seminorms and the field of values of linear operators", journal = j-NUM-MATH, volume = "24", number = "2", pages = "151--161", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Math., North Carolina State Univ., Raleigh, NC, USA", fjournal = "Numerische Mathematik", keywords = "algebra; field of values; growth estimates; Hilbert space; linear operators; number theory; numerical range; projection seminorms", treatment = "T Theoretical or Mathematical", } @Article{Pinkus:1975:AMN, author = "Allan Pinkus", title = "Asymptotic minimum norm quadrature formulae", journal = j-NUM-MATH, volume = "24", number = "2", pages = "163--175", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "Math. Sci. Dept. IBM, Yorktown Heights, NY, USA", fjournal = "Numerische Mathematik", keywords = "asymptotic limit; Hilbert spaces; minimum norm quadrature formulae; transforms", treatment = "T Theoretical or Mathematical", } @Article{Schneider:1975:VRR, author = "Claus Schneider", title = "{Vereinfachte Rekursionen zur Richardson-Extrapolation in Spezialf{\"a}llen}. ({German}) [{Simplified recursions for {Richardson} extrapolation in special cases}]", journal = j-NUM-MATH, volume = "24", number = "2", pages = "177--184", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Fri May 30 07:46:26 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Fachbereich Math. der Johannes Gutenberg-Univ., Mainz, West Germany", fjournal = "Numerische Mathematik", keywords = "algebraic endpoint singularities; finite algorithm; generalized asymptotic expansions; integration; logarithmic endpoint singularities; numerical integration; numerical methods; recursions; recursive functions; Richardsons extrapolation; Romberg type quadrature", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Rose:1975:WAE, author = "Milton E. Rose", title = "Weak-element approximations to elliptic differential equations", journal = j-NUM-MATH, volume = "24", number = "3", pages = "185--204", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", fjournal = "Numerische Mathematik", keywords = "differential equations; elliptic differential equations; finite element analysis; finite element methods; local approximations; weak element approximations", treatment = "T Theoretical or Mathematical", } @Article{Kutt:1975:NEP, author = "H. R. Kutt", title = "The numerical evaluation of principal value integrals by finite-part integration", journal = j-NUM-MATH, volume = "24", number = "3", pages = "205--210", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Nat. Res. Inst. for Math. Sci., CSIR, Pretoria, South Africa", fjournal = "Numerische Mathematik", keywords = "computational purposes; finite part integration; integration; numerical evaluation; principal value integrals; scalar products", treatment = "A Application; T Theoretical or Mathematical", } @Article{Kiluchi:1975:FES, author = "Fumio Kiluchi", title = "On a finite element scheme based on the discrete {Kirchhoff} assumption", journal = j-NUM-MATH, volume = "24", number = "3", pages = "211--231", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0340 (Classical mechanics of continuous media: general mathematical aspects); A4620 (Continuum mechanics); B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C7440 (Civil and mechanical engineering computing)", corpsource = "Inst. of Space and Aeronautical Sci., Univ. of Tokyo, Tokyo, Japan", fjournal = "Numerische Mathematik", keywords = "approximation theory; bending; Dirichlet conditions; discrete Kirchhoff assumption; eigenvalue problems; error analysis; error estimates; finite element analysis; finite element scheme; mechanical engineering; numerical experiments; plate bending problems; triangular element", treatment = "T Theoretical or Mathematical", } @Article{Hornung:1975:EMN, author = "U. Hornung", title = "{Euler} method for neutral functional-differential equation", journal = j-NUM-MATH, volume = "24", number = "3", pages = "233--240", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Numerische und Instrumentelle Math., Westfalische Wilhelms-Univ., M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", keywords = "approximating polygon; approximation theory; Euler method; initial value problem; Lipschitz continuous solution; neutral functional differential equation; nonlinear differential equations; polygonal methods", treatment = "T Theoretical or Mathematical", } @Article{Pruess:1975:HOA, author = "S. Pruess", title = "High order approximations to {Sturm--Liouville} eigenvalues", journal = j-NUM-MATH, volume = "24", number = "3", pages = "241--247", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of New Mexico, Albuquerque, NM, USA", fjournal = "Numerische Mathematik", keywords = "approximation theory; eigenvalues and eigenfunctions; error; high order approximations; local approximating polynomials; low order methods; Sturm Liouville eigenvalues", treatment = "T Theoretical or Mathematical", } @Article{Marcowitz:1975:FAS, author = "U. Marcowitz", title = "{Fehlerabsch{\"a}tzung bei Anfangswertaufgaben f{\"u}r Systeme von gew{\"o}nlichen Differentialgleichungen mit Anwendungen auf das REENTRY-Problem}. ({German}) [{Error estimation in initial value problems for systems of ordinary differential equations with an application to the {REENTRY} problem}]", journal = j-NUM-MATH, volume = "24", number = "3", pages = "249--275", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:03:41 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. of Math., Univ. zu Koln, Koln, West Germany", fjournal = "Numerische Mathematik", keywords = "approximation theory; arbitrary approximation; boundary-value problems; defect; differential equations; error analysis; error estimation; initial value problems; nonlinear differential inequalities; numerical realization; ordinary differential equations; RENTRY problem", language = "German", } @Article{Meyer:1975:SAS, author = "G. G. L. Meyer", title = "A systematic approach to the synthesis of algorithms", journal = j-NUM-MATH, volume = "24", number = "4", pages = "277--289", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory)", corpsource = "Dept. of Electrical Engng., Johns Hopkins Univ., Baltimore, MD, USA", fjournal = "Numerische Mathematik", keywords = "algorithm synthesis; algorithm theory; Frank/Wolfe algorithm; iterative algorithms; transformations", treatment = "T Theoretical or Mathematical", } @Article{Hanson:1975:ANM, author = "Richard J. Hanson and James L. Phillips", title = "An adaptive numerical method for solving linear {Fredholm} integral equations of the first kind", journal = j-NUM-MATH, volume = "24", number = "4", pages = "291--307", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in {\AA ke Bj\"orck}'s bibliography on least squares, which is available by anonymous ftp from {\tt math.liu.se} in {\tt pub/references}.", classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Washington State Univ., Pullman, WA, USA", fjournal = "Numerische Mathematik", keywords = "adaptive numerical method; integral equation; integral equations; iterative methods; linear Fredholm integral equations of the first kind; na; regularization; spline function; stabilized linear algebraic system", treatment = "T Theoretical or Mathematical", } @Article{Gunther:1975:ZQG, author = "Claus G{\"u}nther", title = "{Zweidimensionale Quadraturformeln von Grad 7 mit 14 Punkten}. ({German}) [{Two dimensional quadrature formulae of degree seven with fourteen common zeros}]", journal = j-NUM-MATH, volume = "24", number = "4", pages = "309--316", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:06:11 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Kernforshungszentrum Inst. Neutronenphys. und Reaklortech., Karlsruhe, West Germany", fjournal = "Numerische Mathematik", keywords = "degree seven; integration; orthogonal polynomials; quadrature formulae", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Voss:1975:PRN, author = "H. Voss", title = "{Projectionsverfahren f{\"u}r Randwertaufgaben mit nichtlinearen Randbedingungen}. ({German}) [{Projection methods for boundary value problems with nonlinear boundary conditions}]", journal = j-NUM-MATH, volume = "24", number = "4", pages = "317--329", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:07:31 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. Angewandte Math., Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary value problems; boundary-value problems; convergence; differential equations; Frechet differentiable operator; Galerkin's method; nonlinear boundary conditions; projection methods; splines", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Busch:1975:EAM, author = "W. Busch and R. Esser and W. Hackbusch and U. Herrmann", title = "Extrapolation applied to the method of characteristics for a first order system of two partial differential equations. {I}. The initial value problem", journal = j-NUM-MATH, volume = "24", number = "4", pages = "331--353", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Tech. Univ., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", keywords = "ALGOL program; boundary value problems; boundary-value problems; Cauchy's initial value problem; discretization; Euler's method; first order system; hyperbolic systems; method of characteristics; midpoint rule; partial differential equations; step size extrapolation", treatment = "T Theoretical or Mathematical", } @Article{Grigorieff:1975:DAEa, author = "Rolf Dieter Grigorieff", title = "{Diskrete Approximation von Eigenwertproblemen. I. Qualitative Konvergenz}. ({German}) [{Discrete approximation of the eigenvalue problem. {I}. Qualitative convergence}]", journal = j-NUM-MATH, volume = "24", number = "4", pages = "355--374", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 21:45:50 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Tech. Univ. Berlin, Fachbereich Math., Berlin, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; discrete approximation; eigenvalue problem; eigenvalues and eigenfunctions; qualitative convergence", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Demmler:1975:OMS, author = "A. Demmler and C. Reinsch", title = "Oscillation matrices with spline smoothing", journal = j-NUM-MATH, volume = "24", number = "5", pages = "375--382", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", fjournal = "Numerische Mathematik", keywords = "eigenvectors; matrix algebra; sign distribution; spline smoothing; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Wahba:1975:SND, author = "Grace Wahba", title = "Smoothing noisy data with spline functions", journal = j-NUM-MATH, volume = "24", number = "5", pages = "383--393", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Statistics, Stanford Univ., Stanford, CA, USA", fjournal = "Numerische Mathematik", keywords = "curve fitting; error analysis; minimum expected square error; noisy data; smoothing; spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Tsuda:1975:NIF, author = "Takao Tsuda", title = "Nonlinear interpolation of functions of very many variables", journal = j-NUM-MATH, volume = "24", number = "5", pages = "395--414", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Electrical Engng., Hokkaido Univ., Sapporo, Japan", fjournal = "Numerische Mathematik", keywords = "error analysis; functions of very many variables; interpolation; nonlinear interpolation; pairwise sampling method; standard errors", treatment = "T Theoretical or Mathematical", } @Article{Grigorieff:1975:DAEb, author = "Rolf Dieter Grigorieff", title = "{Diskrete Approximation von Eigenwertproblemen. II. Konvergenzordnung}. ({German}) [{Discrete approximation of eigenvalue problems. {II}. Convergence order}]", journal = j-NUM-MATH, volume = "24", number = "5", pages = "415--433", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 21:45:53 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Tech. Univ. Berlin, Fachbereich Math., Berlin, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; discrete approximation; eigenvalue problems; eigenvalues and eigenfunctions; function approximation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Wesseling:1975:AEP, author = "P. Wesseling", title = "An asymptotic expansion for product integration applied to {Cauchy} principal value integrals", journal = j-NUM-MATH, volume = "24", number = "5", pages = "435--442", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Technische Hogeschool Twente, Onderafdeling Toegepaste Wiskunde, Enschede, Netherlands", fjournal = "Numerische Mathematik", keywords = "asymptotic expansion; Cauchy principal value integrals; error analysis; integral equations; integration; interpolation; piecewise Lagrangian interpolation; product integration; quadrature method; truncation error", treatment = "T Theoretical or Mathematical", } @Article{Schumacher:1975:IOS, author = "Konrad Schumacher", title = "{Iterative Optimierungsverfahren, die unter schwachen Voraussetzungen konvergien}. ({German}) [{Iterative optimisation, convergence under weak assumptions}]", journal = j-NUM-MATH, volume = "24", number = "5", pages = "443--456", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290Z (Other numerical methods); C1180 (Optimisation techniques); C4190 (Other numerical methods)", corpsource = "Lehrstuhl Biomath., Univ. Tubingen, Tubingen, West Germany", fjournal = "Numerische Mathematik", keywords = "closed convex set; convergence; convergence of numerical methods; Hilbert space; iteration process; iterative methods; minimisation; minimization problems; nonlinear optimization theory; numerical approximation; optimisation; weak assumptions", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Saff:1975:ZPP, author = "E. B. Saff and R. S. Varga", title = "On the zeros and poles of {Pad{\'e}} approximants to $e^z$", journal = j-NUM-MATH, volume = "25", number = "1", pages = "1--14", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Saff:1976:EZP}.", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL, USA", fjournal = "Numerische Mathematik", keywords = "function approximation; numerical methods; ordinary differential equations; Pad{\'e} approximants; poles; stability; zeros", } @Article{Forst:1975:OIQ, author = "Wilhelm Forst", title = "{Zur Optimalit{\"a}t interpolatorischer Quadraturformeln periodischer Funktionen}. ({German}) [{Optimal formulas of interpolatory type for the quadrature of periodic functions}]", journal = j-NUM-MATH, volume = "25", number = "1", pages = "15--21", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:10:49 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Fachbereich Math., Univ. Tubingen, Tubingen, West Germany", fjournal = "Numerische Mathematik", keywords = "error norm; Favard classes; integration; interpolatory; optimal quadrature formula; periodic functions; quadrature; trapezoidal rule; uniform mesh", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Stenger:1975:CTD, author = "Frank Stenger", title = "Computing the topological degree of a mapping in {$R^n$}", journal = j-NUM-MATH, volume = "25", number = "1", pages = "23--38", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); B0290R (Integral equations); C1160 (Combinatorial mathematics); C4180 (Integral equations)", corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT, USA", fjournal = "Numerische Mathematik", keywords = "continuous functions; mapping; n dimensional polyhedron; simplex; subsets; topological degree; topology", treatment = "T Theoretical or Mathematical", } @Article{Norsett:1975:PRA, author = "Syvert P. N{\o}rsett", title = "{$C$}-polynomials for rational approximation to the exponential function", journal = j-NUM-MATH, volume = "25", number = "1", pages = "39--56", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. for Numerisk Matematikk, Univ. of Trondheim, Trondheim, Norway", fjournal = "Numerische Mathematik", keywords = "A acceptability; C polynomials; exponential function; function approximation; polynomials; rational approximation", treatment = "T Theoretical or Mathematical", } @Article{Spence:1975:CNM, author = "Alastair Spence", title = "On the convergence of the {Nystr{\"o}m} method for the integral equation eigenvalue problem", journal = j-NUM-MATH, volume = "25", number = "1", pages = "57--66", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "School of Math., Univ. of Bath, Bath, UK", fjournal = "Numerische Mathematik", keywords = "algebraic eigenvalue; Banach space; compact operator; convergence; convergence of numerical methods; eigenvalue problem; eigenvalues and eigenfunctions; integral equation; integral equations; integral operator; Nystr{\"o}m method; quadrature formula", treatment = "T Theoretical or Mathematical", } @Article{Natterer:1975:PKF, author = "Frank Natterer", title = "{Uber die punktweise Konvergenz Finiter Elemente}. ({German}) [{On the pointwise convergence of finite elements}]", journal = j-NUM-MATH, volume = "25", number = "1", pages = "67--77", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:11:49 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Angewandte Math. und Informatik, Univ. des Saarlandes, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; convex polyhedral domain; Dirichlet problem; finite element analysis; finite element method; finite elements; pointwise convergence; Poissons equation; Sobolev spaces", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Grigorieff:1975:DAEc, author = "Rolf Dieter Grigorieff", title = "{Diskrete Approximation von Eigenwerteproblemen. III. Asymptotische Entwicklungen}. ({German}) [{Discrete approximation of eigenvalue-problems. {III}. Asymptotic expansions}]", journal = j-NUM-MATH, volume = "25", number = "1", pages = "79--97", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 21:45:54 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fachbereich Math., Tech. Univ. Berlin, Berlin, West Germany", fjournal = "Numerische Mathematik", keywords = "asymptotic expansions; discrete approximations; eigenvalue; eigenvalues and eigenfunctions; function approximation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Midy:1975:ICG, author = "P. Midy", title = "An improved calculation of the general elliptic integral of the second kind in the neighbourhood of $x = 0$", journal = j-NUM-MATH, volume = "25", number = "1", pages = "99--101", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Centre de Calcul Paris Sud Informatique, Univ. Paris XI, Orsay, France", fjournal = "Numerische Mathematik", keywords = "elliptic integral; integration; Landen transformation; second kind", treatment = "T Theoretical or Mathematical", } @Article{Linz:1975:CDM, author = "Peter Linz", title = "Convergence of a discretization method for integro-differential equations", journal = j-NUM-MATH, volume = "25", number = "1", pages = "103--107", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Univ. of California, Davis, CA, USA", fjournal = "Numerische Mathematik", keywords = "approximation; consistency; convergence; convergence of numerical methods; integro differential equations; integro-differential equations; spatial discretisation", treatment = "T Theoretical or Mathematical", } @Article{Hettich:1975:KEZ, author = "R. Hettich", title = "{Kriterien erster und zweiter Ordnung f{\"u}r lokal beste Approximationen bei Problemen mit Nebenbedingungen}. ({German}) [{On first and second order conditions for locally best approximations for constraint problems}]", journal = j-NUM-MATH, volume = "25", number = "1", pages = "109--122", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:45:49 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Tech. Hogeschool Twente, Enschede, Netherlands", fjournal = "Numerische Mathematik", keywords = "compact subset; constraint problems; function approximation; locally best approximations; monotone; real valued function; restricted range approximation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1976:SIC, author = "G. W. Stewart", title = "Simultaneous iteration for computing invariant subspaces of {non-Hermitian} matrices", journal = j-NUM-MATH, volume = "25", number = "2", pages = "123--136", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Univ. of Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; convergence theory; dominant invariant subspaces; iterative methods; matrix algebra; nested sequence; non Hermitian matrices; orthonormal bases; simultaneous iteration technique", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1976:ESP, author = "G. W. Stewart", title = "The economical storage of plane rotations", journal = j-NUM-MATH, volume = "25", number = "2", pages = "137--138", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Univ. of Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", keywords = "compacted; economical storage; matrix algebra; matrix computations; plane rotations; single number", treatment = "T Theoretical or Mathematical", } @Article{Haegemans:1976:CCF, author = "Ann Haegemans and Robert Piessens", title = "Construction of cubature formulas of degree eleven for symmetric planar regions, using orthogonal polynomials", journal = j-NUM-MATH, volume = "25", number = "2", pages = "139--148", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Appl. Math. and Programming Div., Univ. of Leuven, Heverlee, Belgium", fjournal = "Numerische Mathematik", keywords = "cubature formulas; degree eleven; integration; orthogonal polynomials; polynomial precision; symmetric planar regions", treatment = "T Theoretical or Mathematical", } @Article{Knauff:1976:OAN, author = "W. Knauff and R. Kre{\ss}", title = "{Optimale Approximation mit Nebenbedingungen an lineare Funktionale auf periodischen Funktionen}. ({German}) [{Optimal approximation with side conditions to linear functionals on periodic functions}]", journal = j-NUM-MATH, volume = "25", number = "2", pages = "149--152", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:13:51 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lehrstuhle f{\"u}r Numerische und Angewandte Math., G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", keywords = "bounded linear functional; function approximation; general Hilbert space; linear functionals; periodic functions", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Plemmons:1976:RSD, author = "R. J. Plemmons", title = "Regular Splittings and the Discrete {Neumann} Problem", journal = j-NUM-MATH, volume = "25", number = "2", pages = "153--161", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Computer Sci. Dept., Univ. of Tennessee, Knoxville, TN, USA", fjournal = "Numerische Mathematik", keywords = "approximating; discrete Neumann problem; iteration; iterative methods; linear algebra; regular splittings; square linear system", treatment = "T Theoretical or Mathematical", } @Article{Thatcher:1976:UIG, author = "R. W. Thatcher", title = "The use of infinite grid refinements at singularities in the solution of {Laplace}'s equation", journal = j-NUM-MATH, volume = "25", number = "2", pages = "163--178", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Manchester Inst. of Sci. Technol., Manchester, UK", fjournal = "Numerische Mathematik", keywords = "approximate; finite element analysis; infinite grid refinements; Laplace's equation; singularities; solution", treatment = "T Theoretical or Mathematical", } @Article{Veselic:1976:CJM, author = "K. Veseli{\'c}", title = "A convergent {Jacobi} method for solving the eigenproblem of arbitrary real matrices", journal = j-NUM-MATH, volume = "25", number = "2", pages = "179--184", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Inst. Math., Univ. of Zagreb, Zagreb, Yugoslavia", fjournal = "Numerische Mathematik", keywords = "arbitrary real matrices; convergent Jacobi method; eigenproblem; eigenvalues and eigenfunctions; global convergence proof; matrix algebra", treatment = "T Theoretical or Mathematical", } @Article{Moller:1976:KMK, author = "H. M. M{\"o}ller", title = "{Kubaturformeln mit minimaler Knotenzahl}. ({German}) [{Minimum-point cubature formulas}]", journal = j-NUM-MATH, volume = "25", number = "2", pages = "185--200", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:14:56 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Abt. Math., Univ. Dortmund, Dortmund-Hombruch, West Germany", fjournal = "Numerische Mathematik", keywords = "cubature formula; integration; minimal number of nodes", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Kupper:1976:EGD, author = "Tassilo K{\"u}pper", title = "{Einschlie{\ss}ungsenaussagen f{\"u}r gew{\"o}nliche Differentialoperatoren}. ({German}) [{Range-domain implications for ordinary differential operators}]", journal = j-NUM-MATH, volume = "25", number = "2", pages = "201--214", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:16:07 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", keywords = "differentiation; ordinary differential operators; range domain implications", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Barnhill:1976:SKT, author = "Robert E. Barnhill and John A. Gregory", title = "{Sard} kernel theorems on triangular domains with application to finite element error bounds", journal = j-NUM-MATH, volume = "25", number = "3", pages = "215--229", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Dept., Univ. of Utah, Salt Lake City, UT, USA", fjournal = "Numerische Mathematik", keywords = "error analysis; error bounds; finite element; finite element analysis; interpolation; interpolation remainders; kernel theorems; triangular domains", treatment = "T Theoretical or Mathematical", } @Article{Sloan:1976:EAC, author = "Ian H. Sloan", title = "Error analysis for a class of degenerate-kernel methods", journal = j-NUM-MATH, volume = "25", number = "3", pages = "231--238", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Appl. Math., Univ. of New South Wales, Kensington, NSW, Australia", fjournal = "Numerische Mathematik", keywords = "computational requirements; convergence of numerical methods; degenerate kernel methods; error analysis; Fredholm integral equations; integral equations; numerical solution; rate of convergence", treatment = "T Theoretical or Mathematical", } @Article{Jetter:1976:OQS, author = "Kurt Jetter", title = "{Optimale Quadraturformeln mit semidefiniten Peano-Kernen}. ({German}) [{Optimal integration formulas with semidefinite Peano-kernels}]", journal = j-NUM-MATH, volume = "25", number = "3", pages = "239--249", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:16:57 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "FB Math., Univ. Tubingen, Tubingen, West Germany", fjournal = "Numerische Mathematik", keywords = "integration; numerical integration formulas; optimal constants; Peano kernel; remainder; semidefinite", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Barrar:1976:MZA, author = "R. B. Barrar and Henry L. Loeb", title = "Multiple zeros and applications to optimal linear functionals", journal = j-NUM-MATH, volume = "25", number = "3", pages = "251--262", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Oregon, Eugene, OR, USA", fjournal = "Numerische Mathematik", keywords = "approximation; free knots; multiple zeros; optimal linear functionals; poles and zeros", treatment = "T Theoretical or Mathematical", } @Article{Nitsche:1976:ERB, author = "J. A. Nitsche", title = "{Der Einflu{\ss} von Randsingularit{\"a}ten beim Ritzschen Verfahren}. ({German}) [{Solution effects of the {Ritz} method}]", journal = j-NUM-MATH, volume = "25", number = "3", pages = "263--278", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 21:51:26 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Freiburg, Freiburg, West Germany", fjournal = "Numerische Mathematik", keywords = "difference equations; homogeneous differential equation; Ritz method; singular boundary point; spline subspaces; Sturm Liouville problem", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Ptak:1976:RCN, author = "Vlastimil Pt{\'a}k", title = "The rate of convergence of {Newton}'s process", journal = j-NUM-MATH, volume = "25", number = "3", pages = "279--285", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. of Math., Czechoslovak Acad. of Sci., Praha, Czechoslovakia", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; iterative methods; method of nondiscrete mathematical induction; Newton's process; rate of convergence", treatment = "T Theoretical or Mathematical", } @Article{Elliott:1976:CQR, author = "David Elliott and D. F. Paget", title = "On the convergence of a quadrature rule for evaluating certain {Cauchy} principal value integrals: an addendum", journal = j-NUM-MATH, volume = "25", number = "3", pages = "287--289", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Univ. of Tasmania, Hobart, Tas., Australia", fjournal = "Numerische Mathematik", keywords = "Cauchy principal value integrals; convergence; convergence of numerical methods; integration; quadrature rule", treatment = "T Theoretical or Mathematical", } @Article{Alefeld:1976:KSR, author = "G. Alefeld and R. S. Varga", title = "{Zur Konvergenz des symmetrischen Relaxationsverfahren}. ({German}) [{On the convergence of the symmetric {SOR} method}]", journal = j-NUM-MATH, volume = "25", number = "3", pages = "291--295", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:54:53 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. of Karlsruhe, Karlsruhe, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; iterative methods; iterative solution; matrix algebra; matrix equation; symmetric SOR method", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Trottenberg:1976:LLG, author = "Ulrich Trottenberg", title = "{L{\"o}sung linearer gew{\"o}nlicher Randwertaufgaben 4. Ordnung mit Hilfe von Aufspaltungen}. ({German}) [{Solving linear ordinary boundary value problems of the fourth order by means of splittings}]", journal = j-NUM-MATH, volume = "25", number = "3", pages = "297--306", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:18:28 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; fourth order; linear ordinary boundary value problems; splittings", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Saff:1976:GCRa, author = "E. B. Saff and A. Sch{\"o}nhage and R. S. Varga", title = "Geometric convergence to $e^{-z}$ by rational functions with real poles", journal = j-NUM-MATH, volume = "25", number = "3", pages = "307--322", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See errata \cite{Saff:1976:EGC}.", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL, USA", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; converges geometrically; differential equations; rational functions; real poles", treatment = "T Theoretical or Mathematical", } @Article{LaBudde:1976:EMCa, author = "Robert A. LaBudde and Donald Greenspan", title = "Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. {I}. Motion of a single particle", journal = j-NUM-MATH, volume = "25", number = "4", pages = "323--346", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Math. Res. Center, Univ. of Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", keywords = "energy conserving methods; equations of motion; integration; mechanics; momentum conserving methods; numerical integration; predictor corrector formulae; predictor-corrector methods; single particle motion", treatment = "T Theoretical or Mathematical", } @Article{Anderson:1976:JTM, author = "P. J. Anderson and G. Loizou", title = "A {Jacobi} type method for complex symmetric matrices", journal = j-NUM-MATH, volume = "25", number = "4", pages = "347--363", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Birkbeck Coll., Univ. of London, London, UK", fjournal = "Numerische Mathematik", keywords = "approximate eigenvalues; approximate eigenvectors; complex matrix; complex symmetric matrices; eig; eigenvalues and eigenfunctions; Jacobi type method; Jacobi-like; matrix algebra; nla; symmetric matrix; transformations", treatment = "T Theoretical or Mathematical", } @Article{Chung:1976:GAA, author = "Soon Park Chung", title = "Generalization and acceleration of an algorithm of {Sebastiao e Silva} and its duals", journal = j-NUM-MATH, volume = "25", number = "4", pages = "365--377", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Michigan, Dearborn, MI, USA", fjournal = "Numerische Mathematik", keywords = "dual algorithm; duality (mathematics); function approximation; poles and zeros; polynomial; polynomial zeros approximation; polynomials; Sebastiao e Silva algorithm", treatment = "T Theoretical or Mathematical", } @Article{Chawla:1976:ORP, author = "M. M. Chawla and V. Kaul", title = "Optimal rules with polynomial precision for {Hilbert} spaces possessing reproducing kernel functions. {II}. Error bounds", journal = j-NUM-MATH, volume = "25", number = "4", pages = "379--382", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Indian Inst. of Technol., New Delhi, India", fjournal = "Numerische Mathematik", keywords = "error analysis; error bounds; function approximation; Hilbert spaces possessing; hypercircle inequality bounds; interpolation; kernel functions reproduction; optimisation; polynomial precision", treatment = "T Theoretical or Mathematical", } @Article{Hairer:1976:TNM, author = "E. Hairer and G. Wanner", title = "A theory for {Nystr{\"o}m} methods", journal = j-NUM-MATH, volume = "25", number = "4", pages = "383--400", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Section de Math., Univ. de Gen{\`e}ve, Gen{\`e}ve, Switzerland", fjournal = "Numerische Mathematik", keywords = "Butcher type results; differential equations; first order differential equations; numerical methods; Nystr{\"o}m methods", treatment = "T Theoretical or Mathematical", } @Article{Barnhill:1976:IRT, author = "Robert E. Barnhill and John A. Gregory", title = "Interpolation remainder theory from {Taylor} expansions on triangles", journal = j-NUM-MATH, volume = "25", number = "4", pages = "401--408", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Graphics/imager/imager.76.bib; Graphics/siggraph/76.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT, USA", fjournal = "Numerische Mathematik", keywords = "elliptic equations; finite element analysis; interpolation; interpolation remainders; partial differential equations; Sobolev norm error bounds; Taylor expansions on triangles", treatment = "T Theoretical or Mathematical", } @Article{Frank:1976:MID, author = "Reinhard Frank", title = "The method of iterated defect-correction and its application to two-point boundary value problems. {I}", journal = j-NUM-MATH, volume = "25", number = "4", pages = "409--419", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Numerische Math., TH Wien, Wien, Austria", fjournal = "Numerische Mathematik", keywords = "asymptotic behaviour; boundary-value problems; differential equations; iterated defect correction method; iterative methods; two point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Omladic:1976:NTQ, author = "M. Omladi{\v{c}} and S. Pahor and A. Suhadolc", title = "On a new type of quadrature formulas", journal = j-NUM-MATH, volume = "25", number = "4", pages = "421--426", month = dec, year = "1976", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01396338", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "In the paper quadrature formulas of the form $$\int\limits_a^b f (x)dx = \sum\nolimits_{k = 1}^n w_k I(a_k, b_k; f) + E(f)$$ are considered. Here, $I(a_k, b_k; f)$ is the average of the function $f$ over the interval $[a_k, b_k], a_k \leq b_k$. It is proved that for a set of any $n$ non-overlapping intervals there exists a quadrature formula of the above type exact at least for polynomials of degree $n - 1$. The proof of the theorem uses a generalization of the notion of interpolation polynomial.", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", fjournal = "Numerische Mathematik", keywords = "integration; interpolation; interpolation polynomial; polynomials; quadrature formulas", treatment = "T Theoretical or Mathematical", } @Article{Reddien:1976:CMS, author = "G. W. Reddien and L. L. Schumaker", title = "On a collocation method for singular two point boundary value problems", journal = j-NUM-MATH, volume = "25", number = "4", pages = "427--432", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Vanderbilt Univ., Nashville, TN, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; collocation method; differential equations; numerical solution; singular nonpolynomial splines; singular two point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Baumeister:1976:ENI, author = "J. Baumeister", title = "{{\"U}ber die Extremaleigenschaft nichtlinearer interpolierender Splines}. ({German}) [{On the extremal property of nonlinear interpolating splines}]", journal = j-NUM-MATH, volume = "25", number = "4", pages = "433--445", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:19:49 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "III Math. Inst., Freien Univ. Berlin, Berlin, West Germany", fjournal = "Numerische Mathematik", keywords = "extremal property; interpolation; nonlinear interpolating splines; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Cromme:1976:KVE, author = "Ludwig Cromme", title = "{Eine Klasse von Verfahren zur Ermittlung bester nichtlinearer Tschebyscheff-Approximationen}. ({German}) [{A class of numerical procedures for finding best nonlinear {Chebyshev} approximations}]", journal = j-NUM-MATH, volume = "25", number = "4", pages = "447--459", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:20:49 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Bonn, Bonn, West Germany", fjournal = "Numerische Mathematik", keywords = "best nonlinear Chebyshev approximations; Chebyshev approximation; exponential sums approximation; free knots; local strong unicity; numerical procedures; rational functions approximation; spline approximations; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Yamamoto:1976:DEI, author = "Tetsuro Yamamoto", title = "On the distribution of errors in the iterative solution of a system of linear equations. {II}", journal = j-NUM-MATH, volume = "25", number = "4", pages = "461--463", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Ehime Univ., Matsuyama, Japan", fjournal = "Numerische Mathematik", keywords = "error analysis; error distribution; iterative methods; iterative solution; linear algebra; linear equations", treatment = "T Theoretical or Mathematical", } @Article{LaBudde:1976:EMCb, author = "Robert A. LaBudde and Donald Greenspan", title = "Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. {II}. Motion of a system of particles", journal = j-NUM-MATH, volume = "26", number = "1", pages = "1--16", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Computer Sci. Dept., Univ. of Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", keywords = "angular momentum; arbitrary order; conserving methods; energy; equations of motion; integration; linear momentum; numerical integration; system of particles", treatment = "A Application; T Theoretical or Mathematical", } @Article{Linden:1976:OSE, author = "Hanj{\"o}rg Linden", title = "{Obere Schranken f{\"u}r Eigenwerte von Eigenwertaufgaben der Form $(\lambda^2 - \lambda A - B) x = 0$}. ({German}) [{Upper bounds for eigenvalues of quadratic eigenvalue problems of the forms $(\lambda^2 \lambda A - B) x = 0$}]", journal = j-NUM-MATH, volume = "26", number = "1", pages = "17--26", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:23:12 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Fach. Math. der Gesamthochschule, Duisburg, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence; eigenvalue; eigenvalues and eigenfunctions; positive definite operators; quadratic eigenvalue; separable Hilbert space; upper bounds", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Eckmann:1976:CGG, author = "J.-P. Eckmann", title = "On the computation of the {Galois} group over the quotient field of {$C(\lambda)$}", journal = j-NUM-MATH, volume = "26", number = "1", pages = "27--37", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. de Phys. Th{\'e}orique, Univ. de Gen{\`e}ve, Geneva, Switzerland", fjournal = "Numerische Mathematik", keywords = "analytic continuations; Galois group; Newton polygon method; polynomials; quotient field; splitting field of polynomials", treatment = "T Theoretical or Mathematical", } @Article{Girault:1976:CFE, author = "V. Girault", title = "A combined finite element and {Marker} and {Cell} method for solving {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "26", number = "1", pages = "39--59", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations); C7440 (Civil and mechanical engineering computing)", corpsource = "Lab. Analyse Num{\'e}rique, Univ. of Paris, Paris, France", fjournal = "Numerische Mathematik", keywords = "error analysis; finite element analysis; finite element approximation; incompressible fluids; Marker and Cell technique; Navier Stokes equations; partial differential equations; polygonal domains", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mattheij:1976:EEM, author = "R. M. M. Mattheij and A. van der Sluis", title = "Error estimates for {Miller}'s algorithm", journal = j-NUM-MATH, volume = "26", number = "1", pages = "61--78", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Math. Inst., Rijksuniv., Utrecht, Netherlands", fjournal = "Numerische Mathematik", keywords = "error analysis; error bounds; matrix vector recursions; Miller's algorithm; scalar recursions; truncation and rounding errors", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1976:FEM, author = "Claes Johnson", title = "On finite element methods for plasticity problems", journal = j-NUM-MATH, volume = "26", number = "1", pages = "79--84", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods); C7440 (Civil and mechanical engineering computing)", corpsource = "Dept. of Math., Univ. of Chicago, Chicago, IL, USA", fjournal = "Numerische Mathematik", keywords = "approximations; error analysis; error estimate; finite element analysis; incremental finite element method; limit load problem; plasticity problems", treatment = "T Theoretical or Mathematical", } @Article{Haslinger:1976:MFE, author = "J. Haslinger and I. Hlav{\'a}{\v{c}}ek", title = "A mixed finite element method close to the equilibrium model", journal = j-NUM-MATH, volume = "26", number = "1", pages = "85--97", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Fyzikalni, Univ. Karlovy, Praha, Czechoslovakia", fjournal = "Numerische Mathematik", keywords = "Dirichlet problem; elliptic partial differential equation; equilibrium model; finite element analysis; Friedrichs transformation; Galerkin approximations; mixed finite element method; partial differential equations; variational formulation", treatment = "T Theoretical or Mathematical", } @Article{Saunders:1976:SNR, author = "B. David Saunders and Hans Schneider", title = "A symmetric numerical range for matrices", journal = j-NUM-MATH, volume = "26", number = "1", pages = "99--105", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Math. Sci. Dept., Rensselaer, Polytech. Inst., Troy, NY, USA", fjournal = "Numerische Mathematik", keywords = "matrices; matrix algebra; symmetric numerical range", treatment = "T Theoretical or Mathematical", } @Article{Noor:1976:EBF, author = "M. A. Noor and J. R. Whiteman", title = "Error bounds for finite element solutions of mildly nonlinear elliptic boundary value problems", journal = j-NUM-MATH, volume = "26", number = "1", pages = "107--116", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Numerische und Instrumentelle Math., Wilhelms Univ., M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; elliptic boundary value problems; error analysis; error bounds; finite element analysis; finite element solutions; mildly nonlinear problems; Poisson problem", treatment = "T Theoretical or Mathematical", } @Article{Jones:1976:TEA, author = "William B. Jones and W. J. Thron", title = "Truncation error analysis by means of approximant systems and inclusion regions", journal = j-NUM-MATH, volume = "26", number = "2", pages = "117--154", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Univ. of Colorado, Boulder, CO, USA", fjournal = "Numerische Mathematik", keywords = "approximant systems; approximate integration; Cesaro sums; continued fractions; error analysis; inclusion regions; infinite processes; infinite series; iterative method; Pad{\'e} approximants; truncation error analysis", treatment = "A Application; T Theoretical or Mathematical", } @Article{Cavendish:1976:RAB, author = "James C. Cavendish and William J. Gordon and Charles A. Hall", title = "{Ritz--Galerkin} approximations in blending function spaces", journal = j-NUM-MATH, volume = "26", number = "2", pages = "155--178", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "General Motors Res. Labs., Warren, MI, USA", fjournal = "Numerische Mathematik", keywords = "approximation; bivariate blending function spaces; boundary-value problems; elliptic boundary value problems; interpolation; Ritz Galerkin method; splines; splines (mathematics); tensor product techniques", treatment = "T Theoretical or Mathematical", } @Article{Anderson:1976:DLA, author = "D. H. Anderson and M. R. Osborne", title = "Discrete, linear approximation problems in polyhedral norms", journal = j-NUM-MATH, volume = "26", number = "2", pages = "179--189", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Maths. Dept., Melbourne Univ., Melbourne, Vic., Australia", fjournal = "Numerische Mathematik", keywords = "approximation theory; discrete linear approximation; general exchange algorithm; linear inequality constraints; linear programming; polyhedral norms", treatment = "T Theoretical or Mathematical", } @Article{Micchelli:1976:ORS, author = "C. A. Micchelli and T. J. Rivlin and S. Winograd", title = "The optimal recovery of smooth functions", journal = j-NUM-MATH, volume = "26", number = "2", pages = "191--200", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Thomas J. Watson Res. Center, IBM Yorktown Heights, NY, USA", fjournal = "Numerische Mathematik", keywords = "canonical knots; error analysis; interpolation; optimal recovery; positive lower bound; smooth functions; splines; splines (mathematics); uniform error", treatment = "T Theoretical or Mathematical", } @Article{Pallaschke:1976:ODI, author = "Diethard Pallaschke", title = "{Optimale Differentiations- und Integrationsformeln in $C_0[a,b]$}. ({German}) [{Optimal differentiation and integration formulae in {$C_0(a,b)$}}]", journal = j-NUM-MATH, volume = "26", number = "2", pages = "201--210", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:24:36 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Inst. f{\"u}r Numerische Math., Univ. M{\"u}nster, M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", keywords = "Banach space; differentiation; integration; optimal formulae; real valued continuous functions", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Saff:1976:GCRb, author = "E. B. Saff and R. S. Varga and W.-C. Ni", title = "Geometric convergence of rational approximations to $e^{-z}$ in infinite sectors", journal = j-NUM-MATH, volume = "26", number = "2", pages = "211--225", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL, USA", fjournal = "Numerische Mathematik", keywords = "approximation theory; geometric convergence; infinite sectors; Pad{\'e} approximants; rational approximations", treatment = "T Theoretical or Mathematical", } @Article{Saff:1976:EZP, author = "E. B. Saff and R. S. Varga", title = "Erratum: {``On the zeros and poles of {Pad{\'e}} approximants to $e^z$''}", journal = j-NUM-MATH, volume = "26", number = "2", pages = "226--226", month = jun, year = "1976", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01395976", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 11:20:30 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Saff:1975:ZPP}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Saff:1976:EGC, author = "E. B. Saff and A. Sch{\"o}nhage and R. S. Varga", title = "Errata: {``Geometric convergence to $e^{-z}$ by rational functions with real poles''}", journal = j-NUM-MATH, volume = "26", number = "2", pages = "226--226", month = jun, year = "1976", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01395976", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 11:20:30 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Saff:1976:GCRa}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Cerutti:1976:CMP, author = "John H. Cerutti and Seymour V. Parter", title = "Collocation methods for parabolic partial differential equations in one space dimension", journal = j-NUM-MATH, volume = "26", number = "3", pages = "227--254", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Union Carbide Corp., South Charleston, WV, USA", fjournal = "Numerische Mathematik", keywords = "A stability; approximation theory; collocation; Gaussian points; Laplace transform; longtime integration; one space dimension; parabolic partial differential equations; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Miyoshi:1976:MFE, author = "Tetsuhiko Miyoshi", title = "A mixed finite element method for the solution of the {von Karman} equations", journal = j-NUM-MATH, volume = "26", number = "3", pages = "255--269", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Kumamoto Univ., Kumamoto, Japan", fjournal = "Numerische Mathematik", keywords = "biharmonic problem; convergence; differential equations; Dirichlet problem; existence; finite element analysis; mixed finite element method; thin elastic plate deflection; uniqueness; von Karman equations", treatment = "T Theoretical or Mathematical", } @Article{Spijker:1976:PTE, author = "M. N. Spijker", title = "On the possibility of two-sided error bounds in the numerical solution of initial value problems", journal = j-NUM-MATH, volume = "26", number = "3", pages = "271--300", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Inst., Rijksuniv. Leiden, Leiden, Netherlands", fjournal = "Numerische Mathematik", keywords = "approximation; difference equations; differential equation; differential equations; error analysis; error bounds; finite difference method; initial value problems; numerical solution; parabolic differential equations; perturbation; two sided estimate", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stummel:1976:WSW, author = "Friedrich Stummel", title = "Weak stability and weak discrete convergence of continuous mappings", journal = j-NUM-MATH, volume = "26", number = "3", pages = "301--315", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Dept. of Math., Johann Wolfgang Goethe Univ., Frankfurt, West Germany", fjournal = "Numerische Mathematik", keywords = "consistency; continuous mappings; convergence of numerical methods; difference quotients; double sequences; equivalence theorems; numerical solution; weak discrete convergence; weak stability", treatment = "T Theoretical or Mathematical", } @Article{Gargantini:1976:PLI, author = "Irene Gargantini", title = "Parallel {Laguerre} iterations: the complex case", journal = j-NUM-MATH, volume = "26", number = "3", pages = "317--323", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Computer Sci., Univ. of Western Ontario, London, Ont., Canada", fjournal = "Numerische Mathematik", keywords = "circular arithmetic; closed discs; error bounds; iterative methods; parallel Laguerre iterations; polynomial; polynomials; square root iteration", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mignotte:1976:NMB, author = "Maurice Mignotte", title = "Note sur la m{\'e}thode {Bernoulli}. ({French}) [{A} note on {Bernoulli}'s method]", journal = j-NUM-MATH, volume = "26", number = "3", pages = "325--326", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Louis Pasteur, Strasbourg, France", fjournal = "Numerische Mathematik", keywords = "Bernoulli's method; complex conjugate; dominant zeroes; Henrici; polynomial; polynomials", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Deuflhard:1976:MCM, author = "P. Deuflhard and H.-J. Pesch and P. Rentrop", title = "A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques", journal = j-NUM-MATH, volume = "26", number = "3", pages = "327--343", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. of Math. Tech., Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; modified continuation method; nonlinear two point boundary value problems; numerical solution; shooting techniques", treatment = "T Theoretical or Mathematical", } @Article{Saff:1976:STC, author = "E. B. Saff and R. S. Varga", title = "On the sharpness of theorems concerning zero-free regions for certain sequences of polynomials", journal = j-NUM-MATH, volume = "26", number = "4", pages = "345--354", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Saff:1977:EST}.", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL, USA", fjournal = "Numerische Mathematik", keywords = "Pad{\'e} approximants; parabolic regions; polynomials; recurrence relation; sectorial region; sharpness of theorems; zero free regions", treatment = "T Theoretical or Mathematical", } @Article{Kacewicz:1976:IIM, author = "Boles{\l}aw Kacewicz", title = "An integral-interpolation iterative method for the solution of scalar equations", journal = j-NUM-MATH, volume = "26", number = "4", pages = "355--365", month = dec, year = "1976", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01409958", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Warszawski, Warsaw, Poland", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; convergence theorems; equations; integral; interpolation; iterative method; iterative methods; nonlinear scalar equation", treatment = "T Theoretical or Mathematical", } @Article{Mock:1976:EFE, author = "M. S. Mock", title = "Explicit finite element schemes for first order symmetric hyperbolic systems", journal = j-NUM-MATH, volume = "26", number = "4", pages = "367--378", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA", fjournal = "Numerische Mathematik", keywords = "differential operator; finite element; finite element analysis; first order; hyperbolic equations; partial differential equations; spline; symmetric hyperbolic systems", treatment = "T Theoretical or Mathematical", } @Article{Taubert:1976:DST, author = "K. Taubert", title = "{Differenzverfahren f{\"u}r Schwingungen mit trockener und z{\"a}her Reibung und f{\"u}r Regelungssysteme}. ({German}) [{A finite difference method in forced vibrations with combined viscous and {Coulomb} damping and in feedback control systems}]", journal = j-NUM-MATH, volume = "26", number = "4", pages = "379--395", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:26:26 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C1120 (Mathematical analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", keywords = "Coulomb damping; difference equations; discontinuous right hand side; Euler Cauchy method; feedback; feedback control systems; finite difference method; forced vibrations; initial value problems; ordinary differential equations", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{vanVeldhuizen:1976:RPC, author = "M. van Veldhuizen", title = "A refinement process for collocation approximations", journal = j-NUM-MATH, volume = "26", number = "4", pages = "397--407", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Vrije Univ., Amsterdam, Netherlands", fjournal = "Numerische Mathematik", keywords = "approximate solution; collocation approximations; differential equations; function approximation; Gaussian points; refinement process", treatment = "T Theoretical or Mathematical", } @Article{Alefeld:1976:CPI, author = "G. Alefeld", title = "{Zur Konvergenz des Peaceman--Rachford-Verfahrens}. ({German}) [{On the convergence of the {Peaceman--Rachford} iterative method}]", journal = j-NUM-MATH, volume = "26", number = "4", pages = "409--419", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:55:21 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Karlsruhe, Karlsruhe, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; elliptic boundary value problems; iterative methods; Peaceman Rachford iterative method; regular splittings", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Sprekels:1976:EEE, author = "J{\"u}rgen Sprekels", title = "{Existenz und erste Einschlie{\ss}ung positiver L{\"o}sungen bei superlinearen Randwertaufgaben zweiter Ordnung}. ({German}) [{Existence and first bounds of positive solutions of superlinear second-order boundary value problems}]", journal = j-NUM-MATH, volume = "26", number = "4", pages = "421--428", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:27:46 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Inst. f{\"u}r Angewandte Math., Hamburg, West Germany", fjournal = "Numerische Mathematik", keywords = "Banach space; boundary value problems; boundary-value problems; existence theorems; first bounds; fixed point theorem; positive solutions; superlinear boundary value problems", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Schroder:1976:RDB, author = "Johann Schr{\"o}der and Ulrich Trottenberg and Heinz Reutersberg", title = "{Reduktionsverfahren f{\"u}r DIfferenzengleichungen bie Randwertaufgaben. II}. ({German}) [{Solving difference equations for boundary value problems by reduction methods. {II}}]", journal = j-NUM-MATH, volume = "26", number = "4", pages = "429--459", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:14:38 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary value problems; boundary-value problems; difference equations; numerical errors; numerical stability; Poisson's equation; reduction methods", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Chartres:1976:CLM, author = "Bruce A. Chartres and Robert S. Stepleman", title = "Convergence of linear multistep methods for differential equations with discontinuities", journal = j-NUM-MATH, volume = "27", number = "1", pages = "1--10", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Appl. Math. and Computer Sci., Univ. of Virginia, Charlottesville, VA, USA", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; differential equations; discontinuities; linear multistep methods; Lipschitz continuous; Riemann integral; stability functional", treatment = "T Theoretical or Mathematical", } @Article{Hallet:1976:GMM, author = "P. Hallet and J. P. Hennart and E. H. Mund", title = "A {Galerkin} method with modified piecewise polynomials for solving a second-order boundary value problem", journal = j-NUM-MATH, volume = "27", number = "1", pages = "11--20", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Centre d'Informatique General, Bruxelles, Belgium", fjournal = "Numerische Mathematik", keywords = "approximate solution; boundary-value problems; collocation technique; convergence properties; Galerkin method; Hermite space; piecewise polynomials; second order boundary value problem; trial function", treatment = "T Theoretical or Mathematical", } @Article{Zadunaisky:1976:EEP, author = "Pedro E. Zadunaisky", title = "On the estimation of errors propagated in the numerical integration of ordinary differential equations", journal = j-NUM-MATH, volume = "27", number = "1", pages = "21--39", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Obs. Nacional de Fisica Cosmica, San Miguel, Argentina", fjournal = "Numerische Mathematik", keywords = "astronomy; differential equations; error analysis; errors; finite difference; integration; numerical integration; ordinary differential equations; spline; two point boundary conditions", treatment = "T Theoretical or Mathematical", } @Article{Patterson:1976:HPM, author = "T. N. L. Patterson", title = "On high precision methods for the evaluation of {Fourier} integrals with finite and infinite limits", journal = j-NUM-MATH, volume = "27", number = "1", pages = "41--52", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Appl. Math. and Theoretical Phys., Queen's Univ. of Belfast, Belfast, UK", fjournal = "Numerische Mathematik", keywords = "Bakhvalov and Vasil'eva method; Chebyshev approximation; Chebyshev polynomials; finite and infinite limits; Fourier integrals; high precision methods; instability; integration; weight functions", treatment = "T Theoretical or Mathematical", } @Article{Wagenfuhrer:1976:VHK, author = "E. Wagenf{\"u}hrer", title = "{Ein Verfahren h{\"o}herer Konvergenzordnung zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung}. ({German}) [{A method of high order convergence for calculating the characteristic exponent of {Mathieu}'s differential equation}]", journal = j-NUM-MATH, volume = "27", number = "1", pages = "53--65", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:30:26 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Fachbereich Math., Univ. Regensburg, Regensburg, West Germany", fjournal = "Numerische Mathematik", keywords = "characteristic exponent; convergence of numerical methods; differential equations; high order convergence; infinite tridiagonal matrices; Mathieu's differential equation; trigonometric functions", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Veselic:1976:SCJ, author = "K. Veseli{\'c}", title = "Some convergent {Jacobi}-like procedures for diagonalising {$J$}-symmetric matrices", journal = j-NUM-MATH, volume = "27", number = "1", pages = "67--75", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Abteilung Math., Univ. Dortmund, Dortmund, West Germany", fjournal = "Numerische Mathematik", keywords = "convergent Jacobi like procedures; diagonalising J symmetric matrices; eigenvalue problems; eigenvalues and eigenfunctions; matrix algebra; normdecreasing methods", treatment = "T Theoretical or Mathematical", } @Article{Claessens:1976:NAO, author = "G. Claessens", title = "A new algorithm for oscillatory rational interpolation", journal = j-NUM-MATH, volume = "27", number = "1", pages = "77--83", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); B0290F (Interpolation and function approximation); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Antwerp, Antwerp, Belgium", fjournal = "Numerische Mathematik", keywords = "function evaluation; interpolation; oscillatory rational interpolation", treatment = "N New Development; T Theoretical or Mathematical", } @Article{Matthys:1976:ALM, author = "J. Matthys", title = "A-stable linear multistep methods for {Volterra} integro-differential equations", journal = j-NUM-MATH, volume = "27", number = "1", pages = "85--94", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "MBLE Res. Lab., Brussels, Belgium", fjournal = "Numerische Mathematik", keywords = "A stability; integro-differential equations; linear multistep methods; Volterra integro differential equations", treatment = "T Theoretical or Mathematical", } @Article{Bunch:1976:DSM, author = "James R. Bunch and Linda Kaufman and Beresford N. Parlett", title = "Decomposition of a Symmetric Matrix", journal = j-NUM-MATH, volume = "27", number = "1", pages = "95--109", month = mar, year = "1976", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01399088", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", abstract = "An algorithm is presented to compute a triangular factorization and the inertia of a symmetric matrix. The algorithm is stable even when the matrix is not positive definite and is as fast as Cholesky. Programs for solving associated systems of linear equations are included.", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of California, San Diego, CA, USA", fjournal = "Numerische Mathematik", keywords = "Cholesky; indefinite system; inertia; linear equations; linear system; lud; matrix algebra; nla; permutation matrix; symmetric matrix; triangular factorisation", treatment = "T Theoretical or Mathematical", } @Article{Kupper:1976:PLU, author = "Tassilo K{\"u}pper", title = "Pointwise lower and upper bounds for eigenfunctions of ordinary differential operators", journal = j-NUM-MATH, volume = "27", number = "1", pages = "111--119", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", keywords = "eigenfunctions; eigenvalue; eigenvalues and eigenfunctions; ordinary differential operators; pointwise bound; Rayleigh Ritz approximation", treatment = "T Theoretical or Mathematical", } @Article{Hansen:1976:EMR, author = "Eldon Hansen and Merrell Patrick", title = "Estimating the multiplicity of a root", journal = j-NUM-MATH, volume = "27", number = "1", pages = "121--131", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lockheed Palo Alto Res. Lab., Palo Alto, CA, USA", fjournal = "Numerische Mathematik", keywords = "function approximation; iterative methods; Laguerre's method; modified Newton's method; multiplicity; Newton's method; one point iteration functions; root", treatment = "T Theoretical or Mathematical", } @Article{Robert:1976:ADT, author = "Fran{\c{c}}ois Robert", title = "Autour du th{\'e}or{\`e}me de {Stein--Rosenberg}. ({French}) [{More} about the {Stein--Rosenberg} theorem]", journal = j-NUM-MATH, volume = "27", number = "1", pages = "133--141", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Inst. Nat. Polytech., Grenoble, France", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; iterative methods; matrix algebra; nonlinear iterative process; nonnegative matrices; Stein Rosenberg theorem", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Verwer:1977:GLM, author = "J. G. Verwer", title = "On generalized linear multistep methods with zero-parasitic roots and an adaptive principal root", journal = j-NUM-MATH, volume = "27", number = "2", pages = "143--155", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Math. Centrum, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", keywords = "adaptive principal root; differential equations; generalized linear multistep methods; integration; numerical integration; ordinary differential equations.; stability; stiff systems; zero parasitic roots", treatment = "T Theoretical or Mathematical", } @Article{White:1977:OEP, author = "Bran E. White", title = "On optimal extreme-discrepancy point sets in the square", journal = j-NUM-MATH, volume = "27", number = "2", pages = "157--164", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Lincoln Lab., MIT, Lexington, MA, USA", fjournal = "Numerische Mathematik", keywords = "integration; optimal extreme discrepancy point sets; point ordering; square", treatment = "T Theoretical or Mathematical", } @Article{Cash:1977:NIS, author = "J. R. Cash", title = "A note on the iterative solution of recurrence relations", journal = j-NUM-MATH, volume = "27", number = "2", pages = "165--170", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Imperial Coll. of Sci. and Technol., London, UK", fjournal = "Numerische Mathematik", keywords = "algebraic equations; algorithms; iterative methods; iterative solution; recurrence relations; third order", treatment = "T Theoretical or Mathematical", } @Article{vonWelck:1977:SSA, author = "U. von Welck", title = "{Ein stabiles Schichtenverfahren f{\"u}r allgemeine lineare Evolutionsgleichungen}. ({German}) [{A stable line method for general linear evolution equations}]", journal = j-NUM-MATH, volume = "27", number = "2", pages = "171--178", month = jun, year = "1977", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01396637", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:31:46 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Math. Inst., Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", keywords = "approximation method; Banach spaces; initial value problems; stable line method", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Blatt:1977:RTA, author = "Hans-Peter Blatt", title = "{Rationale Tschebyscheff-Approximation {\"u}ber unbeschr{\"a}nkten Intervallen}. ({German}) [{Rational Chebyshev} approximation on unbounded intervals]", journal = j-NUM-MATH, volume = "27", number = "2", pages = "179--190", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:33:21 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Mannheim, Mannheim, West Germany", fjournal = "Numerische Mathematik", keywords = "Chebyshev; Chebyshev approximation; extended real numbers; functions; rational best approximations", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Blatt:1977:SRA, author = "Hans-Peter Blatt", title = "{Zur Stetigkeit rationaler T-Approximationen {\"u}ber unbeschr{\"a}nkten Intervallen}. ({German}) [{Continuity of best rational approximations on unbounded intervals}]", journal = j-NUM-MATH, volume = "27", number = "2", pages = "191--202", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:34:30 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Mannheim, Mannheim, West Germany", fjournal = "Numerische Mathematik", keywords = "best rational approximations; Chebyshev; Chebyshev approximation; conditions; continuity; dependence; unbounded intervals", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Cordellier:1977:PRV, author = "F. Cordellier", title = "Particular rules for the vector $\epsilon$-algorithm", journal = j-NUM-MATH, volume = "27", number = "2", pages = "203--207", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis)", corpsource = "Univ. de Lille I, Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; singular rule; vector epsilon algorithm", treatment = "T Theoretical or Mathematical", } @Article{Delves:1977:OCW, author = "L. M. Delves and M. Bain", title = "On the optimum choice of weight functions in a class of variational calculations", journal = j-NUM-MATH, volume = "27", number = "2", pages = "209--218", month = jun, year = "1977", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01396641", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Computational and Statistical Sci., Univ. of Liverpool, Liverpool, UK", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; convergence properties; operator matrices; optimum choice; second order differential equations; variational calculations; variational techniques; weight functions", treatment = "T Theoretical or Mathematical", } @Article{Bain:1977:CRE, author = "M. Bain and L. M. Delves", title = "The convergence rates of expansions in {Jacobi} polynomials", journal = j-NUM-MATH, volume = "27", number = "2", pages = "219--225", month = jun, year = "1977", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01396642", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. of Leicester, Leicester, UK", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; convergence rates; estimates; expansions; Jacobi polynomials; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Lorenz:1977:IDP, author = "Jens Lorenz", title = "{Zur Inversmonotonie diskreter Probleme}. ({German}) [{On the monotone kind-property of discrete problems}]", journal = j-NUM-MATH, volume = "27", number = "2", pages = "227--238", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:35:27 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. M{\"u}nster, M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", keywords = "discrete problems; matrix algebra; monotone kind property; nonnegative inverse; real square matrix; sufficient conditions", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Ifantis:1977:LBZ, author = "Evangelos K. Ifantis and Christos B. Kouris", title = "Lower bounds for the zeros of analytic functions", journal = j-NUM-MATH, volume = "27", number = "2", pages = "239--247", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis)", corpsource = "Dept. of Math., Univ. of Patras, Patras, Greece", fjournal = "Numerische Mathematik", keywords = "analytic functions; function evaluation; lower bounds; poles and zeros; zeros", treatment = "T Theoretical or Mathematical", } @Article{Hald:1977:DIS, author = "Ole H. Hald", title = "Discrete inverse {Sturm--Liouville} problems. {I}. Uniqueness for symmetric potentials", journal = j-NUM-MATH, volume = "27", number = "2", pages = "249--256", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of California, Berkeley, CA, USA", fjournal = "Numerische Mathematik", keywords = "Dirichlet boundary conditions; discrete inverse Sturm Liouville problem; eigenvalues and eigenfunctions; symmetric potentials; uniquely", treatment = "T Theoretical or Mathematical", } @Article{Hansen:1977:FRF, author = "Eldon Hansen and Merrell Patrick", title = "A family of root finding methods", journal = j-NUM-MATH, volume = "27", number = "3", pages = "257--269", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lockheed Palo Alto Res. Lab., Palo Alto, CA, USA", fjournal = "Numerische Mathematik", keywords = "convergence; Euler method; Halley method; iteration functions; iterative methods; Laguerre's method; Ostrowski method; polynomials; root finding methods; roots of polynomials", treatment = "T Theoretical or Mathematical", } @Article{Bus:1977:CNM, author = "J. C. P. Bus", title = "Convergence of {Newton}-like methods for solving systems of nonlinear equations", journal = j-NUM-MATH, volume = "27", number = "3", pages = "271--281", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Math. Centre, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; Newtonlike methods; nonlinear equations", treatment = "T Theoretical or Mathematical", } @Article{Hairer:1977:MNP, author = "E. Hairer", title = "{M}{\'e}thodes de {Nystr{\"o}m} pour l'{\'e}quation diff{\'e}rentielle $y''=f(x,y)$. ({French}) [{Nystr{\"o}m} methods for the differential equation $y''=f(x,y)$]", journal = j-NUM-MATH, volume = "27", number = "3", pages = "283--300", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Section de Math., Univ. de Gen{\`e}ve, Gen{\`e}ve, Switzerland", fjournal = "Numerische Mathematik", keywords = "Nystr{\"o}m methods; order conditions; partial differential equations", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Ling:1977:CPA, author = "William H. Ling and Harry W. McLaughlin and Mary Lynn Smith", title = "A computational procedure for the approximation of random functions", journal = j-NUM-MATH, volume = "27", number = "3", pages = "301--305", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Systems Analysis, Organization 1311, Sandia Labs., Albuquerque, NM, USA", fjournal = "Numerische Mathematik", keywords = "approximation of; computational procedure; function approximation; polynomial; polynomials; random functions", treatment = "T Theoretical or Mathematical", } @Article{Meinguet:1977:OAE, author = "Jean Meinguet and Jean Descloux", title = "An operator-theoretical approach to error estimation", journal = j-NUM-MATH, volume = "27", number = "3", pages = "307--326", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Inst. de Math. Pure et Appliqu{\'e}e, Univ. de Louvain, Louvain-la-Neuve, Belgium", fjournal = "Numerische Mathematik", keywords = "approximation theory; error analysis; error estimation; generic constants; mean square approximation; operator theory; Peano kernel theorem; pointwise approximation", treatment = "T Theoretical or Mathematical", } @Article{Widlund:1977:BEB, author = "Olof Widlund", title = "On best error bounds for approximation by piecewise polynomial functions", journal = j-NUM-MATH, volume = "27", number = "3", pages = "327--338", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Courant Inst. of Math. Sci., New York, NY, USA", fjournal = "Numerische Mathematik", keywords = "approximation; piecewise polynomial functions; polynomials; splines; trigonometric polynomials", treatment = "T Theoretical or Mathematical", } @Article{Witsch:1977:KPL, author = "Kristian Witsch", title = "{Konvergenzaussagen f{\"u}r Projectionsverfahren bei linearen Operatoren}. ({German}) [{Convergence of projection methods for linear operators}]", journal = j-NUM-MATH, volume = "27", number = "3", pages = "339--354", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:36:37 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", keywords = "abstract theorems; boundary value problems; boundary-value problems; convergence; convergence of numerical methods; linear operators; projection methods", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Schmeisser:1977:RRM, author = "Gerhard Schmeisser", title = "A representation for the remainder of the {Maclaurin} quadrature formula", journal = j-NUM-MATH, volume = "27", number = "3", pages = "355--358", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Math. Inst., Univ. Erlangen-N{\"u}rnberg, Erlangen, West Germany", fjournal = "Numerische Mathematik", keywords = "integration; Maclaurin quadrature formula; remainder", treatment = "T Theoretical or Mathematical", } @Article{Verwer:1977:SPG, author = "J. G. Verwer", title = "{$S$}-stability properties for generalized {Runge--Kutta} methods", journal = j-NUM-MATH, volume = "27", number = "4", pages = "359--370", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Math. Centrum, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", keywords = "generalised Runge Kutta methods; numerical integration; ordinary differential equations; Runge--Kutta methods; S-stability properties; stiff systems", treatment = "T Theoretical or Mathematical", } @Article{Conrad:1977:FSA, author = "V. Conrad and Y. Wallach", title = "A faster {SSOR} algorithm", journal = j-NUM-MATH, volume = "27", number = "4", pages = "371--372", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Technion-Israel Inst. of Technol., Technion City, Haifa, Israel", fjournal = "Numerische Mathematik", keywords = "algorithm; faster; iteration; iterative methods; reverse order; SOR; symmetric successive overrelaxation", treatment = "T Theoretical or Mathematical", } @Article{Wozniakowski:1977:NSS, author = "H. Wo{\'z}niakowski", title = "Numerical Stability for Solving Nonlinear Equations", journal = j-NUM-MATH, volume = "27", number = "4", pages = "373--390", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Univ. of Warsaw, Warsaw, Poland", fjournal = "Numerische Mathematik", keywords = "condition number; nonlinear equations; numerical stability", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1977:LCG, author = "Charles R. Johnson", title = "Locally compatible generalized matrix norms", journal = j-NUM-MATH, volume = "27", number = "4", pages = "391--394", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. for Phys. Sci. and Technol., Univ. of Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", keywords = "generalized matrix norms; locally compatible; matrix algebra", treatment = "T Theoretical or Mathematical", } @Article{Paulik:1977:EOQ, author = "Augustin Paulik", title = "{Zur existenz optimaler Quadraturformeln mit freien Knoten bei Integration analytischer Funktionen}. ({German}) [{On the existence of optimal integration formulas with free nodes for analytic functions}]", journal = j-NUM-MATH, volume = "27", number = "4", pages = "395--405", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:38:29 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Angewandte Math., Univ. G{\"o}ttingen, G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", keywords = "analytic functions; existence; free nodes; integration; optimal integration formulas; quadrature rules", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Frank:1977:MID, author = "R. Frank", title = "The method of iterated defect-correction and its application to two-point boundary value problems. {II}", journal = j-NUM-MATH, volume = "27", number = "4", pages = "407--420", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Numerische Math., Tech. Univ., Wien, Austria", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; iterated defect correction; two point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Pallaschke:1977:KOD, author = "Diethard Pallaschke", title = "{Konvergenz optimaler Differentiationsformeln}. ({German}) [{Convergence of optimal differentiation formulas}]", journal = j-NUM-MATH, volume = "27", number = "4", pages = "421--426", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:39:50 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Inst. f{\"u}r Numerische Math., Univ. M{\"u}nster, M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; converges; differentiation; optimal differentiation formulas; properties", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Zahar:1977:MAM, author = "R. V. M. Zahar", title = "A mathematical analysis of {Miller}'s algorithm", journal = j-NUM-MATH, volume = "27", number = "4", pages = "427--447", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Basser Dept. of Computer Sci., Univ. of Sydney, Sydney, NSW, Australia", fjournal = "Numerische Mathematik", keywords = "backward recurrence algorithm; convergence; difference equations; homogeneous systems; linear difference equations; mathematical analysis; scalar equations; stability", treatment = "T Theoretical or Mathematical", } @Article{Diekhoff:1977:CRN, author = "H.-J. Diekhoff and P. Lory and H. J. Oberle and H.-J. Pesch and P. Rentrop and R. Seydel", title = "Comparing routines for the numerical solution of initial value problems of ordinary differential equations in multiple shooting", journal = j-NUM-MATH, volume = "27", number = "4", pages = "449--469", month = dec, year = "1977", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01399607", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Math., Tech. Univ., Munich, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary value problems; compared; initial value problems; integration; multiple shooting; numerical solution; optimal control; ordinary differential equations; routines", treatment = "T Theoretical or Mathematical", } @Article{Haverkamp:1977:SLP, author = "Richard Haverkamp", title = "{Sturm--Liouville-Probleme mit schwach singul{\"a}ren Koeffizientenfunktionen. Teil I. Eigenwertproblem}. ({German}) [{Weak singular {Sturm--Liouville} problems. {I}. Eigenvalue problem}]", journal = j-NUM-MATH, volume = "27", number = "4", pages = "471--484", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:41:31 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Numerische, Univ. M{\"u}nster, M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; convergence properties; Rayleigh Ritz method; Sturm Liouville problems", language = "German", treatment = "T Theoretical or Mathematical", } @Article{deBoor:1977:BEA, author = "Carl de Boor and Allan Pinkus", title = "A Backward Error Analysis for Totally Positive Linear Systems", journal = j-NUM-MATH, volume = "27", number = "4", pages = "485--490", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Math. Res. Center, Univ. of Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", keywords = "B-spline; backward error analysis; banded linear system; error analysis; interpolating spline function; lud; nla; rounding error; splines (mathematics); totally positive linear systems; totally positive matrix", treatment = "T Theoretical or Mathematical", } @Article{Sherman:1977:CGA, author = "B. F. Sherman", title = "A counterexample to {Greenberg}'s algorithm for solving linear inequalities", journal = j-NUM-MATH, volume = "27", number = "4", pages = "491--492", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Education, Univ. of Adelaide, SA, Australia", fjournal = "Numerische Mathematik", keywords = "algorithm; linear algebra; solving linear inequalities", treatment = "T Theoretical or Mathematical", } @Article{Axelsson:1977:EEG, author = "Owe Axelsson", title = "Error estimates for {Galerkin} methods for quasilinear parabolic and elliptic differential equations in divergence form", journal = j-NUM-MATH, volume = "28", number = "1", pages = "1--14", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:55:33 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Chalmers Univ. of Technol., G{\"o}teborg, Sweden", fjournal = "Numerische Mathematik", keywords = "divergence form; elliptic differential equations; error analysis; Galerkin methods; nonlinear differential equations; quasilinear parabolic equations", treatment = "T Theoretical or Mathematical", } @Article{Rappaz:1977:ASN, author = "J. Rappaz", title = "Approximation of the spectrum of a non-compact operator given by the magnetohydrodynamic stability of a plasma", journal = j-NUM-MATH, volume = "28", number = "1", pages = "15--24", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A5230 (Plasma flow; A5235P (Plasma instabilities); magnetohydrodynamics)", corpsource = "Dept. de Math., {\'E}cole Polytech. F{\'e}d{\'e}rale de Lausanne, Lausanne, Switzerland", fjournal = "Numerische Mathematik", keywords = "approximation; magnetohydrodynamic stability; noncompact operator; plasma; plasma instability; plasma magnetohydrodynamics; spectrum", treatment = "T Theoretical or Mathematical", } @Article{Starius:1977:COC, author = "G{\"o}ran Starius", title = "Constructing orthogonal curvilinear meshes by solving initial value problems", journal = j-NUM-MATH, volume = "28", number = "1", pages = "25--48", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:55:41 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Univ. of Uppsala, Uppsala, Sweden", fjournal = "Numerische Mathematik", keywords = "constructing; initial value problems; orthogonal curvilinear meshes; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Engels:1977:FIQ, author = "Hermann Engels", title = "{Eine Familie interpolatorischer Quadraturformeln mit ableitungsfreien Fehlerschranken}. ({German}) [{A family of quadrature formulas having error bounds without derivatives}]", journal = j-NUM-MATH, volume = "28", number = "1", pages = "49--58", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:43:56 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Inst. f{\"u}r Geometrie und Praktische Math., RWTH Aachen, Aachen, West Germany", fjournal = "Numerische Mathematik", keywords = "error analysis; error bounds; family; integration; quadrature formulas; without derivatives", language = "German", } @Article{Gautschi:1977:OCQ, author = "Walter Gautschi and Giovanni Monegato", title = "On optimal {Chebyshev-type} quadratures", journal = j-NUM-MATH, volume = "28", number = "1", pages = "59--67", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:56:06 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Math. Res. Center, Univ. of Wisconsin-Madison, Madison, WI, USA", fjournal = "Numerische Mathematik", keywords = "Chebyshev quadrature; exactness; integration; minimize; optimal", treatment = "T Theoretical or Mathematical", } @Article{Esser:1977:SDR, author = "Henning Esser", title = "{Stabilit{\"a}tsungleichung f{\"u}r Diskretisierungen von Randwertaufgaben gew{\"o}nlicher Differentialgleichungen}. ({German}) [{Stability inequalities for discretizations of boundary value problems in ordinary differential equations}]", journal = j-NUM-MATH, volume = "28", number = "1", pages = "69--100", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:01:30 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Geometrie und Praktische Math., RWTH Aachen, Aachen, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary value problems; boundary-value problems; discretizations; ordinary differential equations; stability inequalities; two point", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Cromme:1977:NMB, author = "Ludwig Cromme", title = "{Numerische Methoden zur Behandlung einiger Problemklassen der nichtlinearen Tschebyscheff-Approximation mit Nebenbedingungen}. ({German}) [{Numerical methods for constrained nonlinear {Chebyshev} approximation}]", journal = j-NUM-MATH, volume = "28", number = "1", pages = "101--117", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:44:33 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Bonn, Bonn, West Germany", fjournal = "Numerische Mathematik", keywords = "Chebyshev approximation; constrained nonlinear Chebyshev approximation; numerical", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Saff:1977:EST, author = "E. B. Saff and R. S. Varga", title = "Erratum: {``On the sharpness of theorems concerning zero-free regions for certain sequences of polynomials'' (Numer. Math. {\bf 26} (1976), no. 4, 345--354)}", journal = j-NUM-MATH, volume = "28", number = "1", pages = "119--119", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "30A08 (65E05)", MRnumber = "56 #5848b", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Saff:1976:STC}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{JHW:1977:AHA, author = "{JHW}", title = "{Alston S. Householder} award (1977)---final notice", journal = j-NUM-MATH, volume = "28", number = "1", pages = "120--120", month = mar, year = "1977", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01403861", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:10:03 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Hackbusch:1977:EAC, author = "Wolfgang Hackbusch", title = "Extrapolation applied to certain discretization methods solving the initial value problem for hyperbolic differential equations", journal = j-NUM-MATH, volume = "28", number = "2", pages = "121--142", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Math. Inst., Univ. zu Koln, Koln, West Germany", fjournal = "Numerische Mathematik", keywords = "Cauchy's initial value problem; determinancy; discretization methods; extrapolation; hyperbolic differential equations; initial value problems; method of characteristics; nonlinear differential equations", treatment = "T Theoretical or Mathematical", } @Article{Anderson:1977:DNAa, author = "D. H. Anderson and M. R. Osborne", title = "Discrete, nonlinear approximation problems in polyhedral norms", journal = j-NUM-MATH, volume = "28", number = "2", pages = "143--156", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Dept., Univ. of Melbourne, Parkville, Vic., Australia", fjournal = "Numerische Mathematik", keywords = "algorithmic treatment; discrete nonlinear approximation problem; function approximation; Gauss Newton method; polyhedral norm approximation", treatment = "T Theoretical or Mathematical", } @Article{Anderson:1977:DNAb, author = "D. H. Anderson and M. R. Osborne", title = "Discrete, nonlinear approximation problems in polyhedral norms: a {Levenberg}-like algorithm", journal = j-NUM-MATH, volume = "28", number = "2", pages = "157--170", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Dept., Univ. of Melbourne, Parkville, Vic., Australia", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; discrete nonlinear approximation problems; function approximation; Levenberglike algorithm; nlop; polyhedral norms", treatment = "T Theoretical or Mathematical", } @Article{Langford:1977:NSB, author = "W. F. Langford", title = "Numerical solution of bifurcation problems for ordinary differential equations", journal = j-NUM-MATH, volume = "28", number = "2", pages = "171--190", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C3385 (Biological and medical control systems); C4170 (Differential equations)", corpsource = "Dept. of Math., McGill Univ., Montreal, Que., Canada", fjournal = "Numerische Mathematik", keywords = "accuracy; biocontrol; biological feedback inhibition control; buckling; differential equations; efficiency; Euler rod buckling problem; Hopf bifurcation; iterative algorithm; iterative methods; numerical solutions; ordinary differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wozniakowski:1977:NSC, author = "H. Wo{\'z}niakowski", title = "Numerical Stability of the {Chebyshev} Method for the Solution of Large Linear Systems", journal = j-NUM-MATH, volume = "28", number = "2", pages = "191--209", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", keywords = "Chebyshev approximation; Chebyshev method; computed residuals; error analysis; floating point arithmetic; iterative methods; large linear systems; linear systems; numerical stability; rounding error analysis", treatment = "T Theoretical or Mathematical", } @Article{deJong:1977:TFD, author = "Lieuwe Sytse de Jong", title = "Towards a Formal Definition of Numerical Stability", journal = j-NUM-MATH, volume = "28", number = "2", pages = "211--219", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4240 (Programming and algorithm theory)", corpsource = "Computing Centre, Univ. of Technol., Eindhoven, Netherlands", fjournal = "Numerische Mathematik", keywords = "algorithm theory; algorithms; error analysis; formal definition; numerical instability; numerical methods; numerical stability; stability", treatment = "T Theoretical or Mathematical", } @Article{Dax:1977:PTS, author = "Achiya Dax and S. Kaniel", title = "Pivoting Techniques for Symmetric {Gaussian} Elimination", journal = j-NUM-MATH, volume = "28", number = "2", pages = "221--241", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "C4140 (Linear algebra)", corpsource = "Inst. of Math., Hebrew Univ., Jerusalem, Israel", fjournal = "Numerische Mathematik", keywords = "algorithm; Cholesky decomposition; factorizing; indefinite symmetric matrix; lud; matrix algebra; nla; pivoting; symmetric Gaussian elimination; symmetric matrix", treatment = "T Theoretical or Mathematical", } @Article{Starius:1977:CMD, author = "G{\o}ran Starius", title = "Composite mesh difference methods for elliptic boundary value problems", journal = j-NUM-MATH, volume = "28", number = "2", pages = "243--258", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Uppsala Univ., Uppsala, Sweden", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; composite mesh difference methods; couplings; curved mesh; difference approximation; difference equations; elliptic boundary value problems; rectangular mesh; second order elliptic equations", treatment = "T Theoretical or Mathematical", } @Article{Fix:1977:PVP, author = "George J. Fix and Morton E. Gurtin", title = "On patched variational principles with application to elliptic and mixed elliptic-hyperbolic problems", journal = j-NUM-MATH, volume = "28", number = "3", pages = "259--271", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4740H (Transonic flows); C4170 (Differential equations)", corpsource = "Dept. of Math., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", keywords = "approximate solution; boundary value problems; boundary-value problems; elliptic equations; mixed elliptic hyperbolic problems; numerical methods; partial differential equations; patched principle; transonic flow; Tricomi problem; variational principles; variational techniques", treatment = "A Application; T Theoretical or Mathematical", } @Article{Klee:1977:LAT, author = "Victor Klee and Pauline van den Driessche", title = "Linear algorithms for testing the sign stability of a matrix and for finding {$Z$}-matrix matchings an acyclic graphs", journal = j-NUM-MATH, volume = "28", number = "3", pages = "273--285", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Univ. of Washington, Seattle, WA, USA", fjournal = "Numerische Mathematik", keywords = "computer applications; graph theory; linear algorithms; matrix algebra; matrix sign stability testing; stability; Z-maximum matchings", treatment = "T Theoretical or Mathematical", } @Article{Mavrides:1977:OUN, author = "Lazaros P. Mavrides", title = "Optimisation under nonnegativity constraints", journal = j-NUM-MATH, volume = "28", number = "3", pages = "287--293", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Morgan Guaranty Trust Co., New York, NY, USA", fjournal = "Numerische Mathematik", keywords = "constraint theory; feasible direction method; finite search procedure; finite stopping rule; nonnegativity constraints; one dimensional subproblem; optimisation; unconstrained optimisation", treatment = "T Theoretical or Mathematical", } @Article{Atteia:1977:EEM, author = "M. Atteia", title = "{\'E}valuation de l'erreur dans la m{\'e}thode des {\'e}l{\'e}ments finis. ({French}) [{Error} in the finite elements method]", journal = j-NUM-MATH, volume = "28", number = "3", pages = "295--306", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "UER Informatique, Univ. de Toulouse, Toulouse, France", fjournal = "Numerische Mathematik", keywords = "error analysis; finite element analysis; finite element method; interpolation; Kernels of Banach spaces", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Manteuffel:1977:TIN, author = "Thomas A. Manteuffel", title = "The {Tchebychev} iteration for nonsymmetric linear systems", journal = j-NUM-MATH, volume = "28", number = "3", pages = "307--327", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Sandia Labs., Livermore, CA, USA", fjournal = "Numerische Mathematik", keywords = "algorithm; Chebyshev approximation; Chebyshev polynomials; complex plane; iterative method; iterative methods; linear algebra; nonsymmetric linear systems; optimal iteration parameters", treatment = "A Application; T Theoretical or Mathematical", } @Article{Natterer:1977:RSG, author = "Frank Natterer", title = "{Regularisierung schlecht gestellter Probleme durch Projectionsverfahren}. ({German}) [{Regularization of ill-posed problems by projection methods}]", journal = j-NUM-MATH, volume = "28", number = "3", pages = "329--341", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:45:39 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290 (Numerical analysis); C1180 (Optimisation techniques); C4100 (Numerical analysis)", corpsource = "Univ. des Saarlandes, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", keywords = "asymptotic estimates; ill posed problems; numerical methods; optimal discretisation parameter; optimisation; projection methods", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Stoer:1977:RBQ, author = "J. Stoer", title = "On the relation between quadratic termination and convergence properties of minimization algorithms. {I}. Theory", journal = j-NUM-MATH, volume = "28", number = "3", pages = "343--366", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Inst. f{\"u}r Angewandte Math. Statistik, Univ. Wurzburg, Wurzburg, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; minimisation; minimisation algorithms; nonquadratic functions; quadratic termination property", treatment = "T Theoretical or Mathematical", } @Article{Baptist:1977:RBQ, author = "P. Baptist and J. Stoer", title = "On the relation between quadratic termination and convergence properties of minimisation algorithms. {II}. Applications", journal = j-NUM-MATH, volume = "28", number = "4", pages = "367--391", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4190 (Other numerical methods)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Wurzburg, Wurzburg, West Germany", fjournal = "Numerische Mathematik", keywords = "$n$-step quadratic convergence; conjugate gradient methods; convergence of numerical methods; minimisation; minimisation algorithms; quadratic termination property; rank-1-methods; rank-2-methods", treatment = "T Theoretical or Mathematical", } @Article{Redheffer:1977:FND, author = "Ray M. Redheffer", title = "{Fehlerabsch{\"a}tzung bei nichtlinearer Differentialgleichungen mit Hilfe linearer Differentialgleichungen}. ({German}) [{Error estimation in nonlinear problems by use of a family of linear differential inequalities}]", journal = j-NUM-MATH, volume = "28", number = "4", pages = "393--405", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:53:20 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of California, Los Angeles, CA, USA", fjournal = "Numerische Mathematik", keywords = "error estimation; error statistics; linear differential inequalities; linearisation techniques; nonlinear differential equations; nonlinear problems solution; partial differential equation; partial differential equations; second order elliptic equation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Gout:1977:EEI, author = "J. L. Gout", title = "Estimation de l'erreur d'interpolation d'{Hermite} dans {${\bf R}^n$}. ({French}) [{Estimation} of the {Hermite} interpolation error in {${\bf R}^n$}]", journal = j-NUM-MATH, volume = "28", number = "4", pages = "407--429", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Math., Univ. de Pau, Pau, France", fjournal = "Numerische Mathematik", keywords = "approximation theory; error statistics; finite element analysis; finite element methods; Hermite interpolation error; Hermite interpolation polynomial; interpolation; open subset; polynomials; R/sup n/ error estimation; set theory; Taylor polynomial", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Brezzi:1977:EEF, author = "Franco Brezzi and William W. Hager and P. A. Raviart", title = "Error estimates for the finite element solution of variational inequalities. {I}. Primal theory", journal = j-NUM-MATH, volume = "28", number = "4", pages = "431--443", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Politecnico di Torino, Torino, Italy", fjournal = "Numerische Mathematik", keywords = "convergence; convergence of numerical methods; error bounds; error estimates; error statistics; finite element analysis; finite element approximations; obstacle problem; unilateral problem; variational inequalities; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Nevanlinna:1977:BGE, author = "Olavi Nevanlinna", title = "On the behaviour of global errors at infinity in the numerical integration of stable initial value problems", journal = j-NUM-MATH, volume = "28", number = "4", pages = "445--454", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Inst. of Maths., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Numerische Mathematik", keywords = "error statistics; global error; initial value problems; integration; linear multistep methods; nonlinear initial value problem; numerical analysis; numerical integration; trigonometric polynomial", treatment = "T Theoretical or Mathematical", } @Article{Hackbusch:1977:ELN, author = "W. Hackbusch", title = "Extrapolation to the limit for numerical solutions of hyperbolic equations", journal = j-NUM-MATH, volume = "28", number = "4", pages = "455--474", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Maths. Inst. Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", keywords = "asymptotic expansion; extrapolation; hyperbolic equations; multi step method; non quasilinear systems; numerical methods; partial differential equations; quasilinear systems", treatment = "T Theoretical or Mathematical", } @Article{vanVeldhuizen:1977:NPP, author = "M. van Veldhuizen", title = "A Note on Partial Pivoting and {Gaussian} Elimination", journal = j-NUM-MATH, volume = "29", number = "1", pages = "1--10", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Wiskundig Seminarium, Vrije Univ., Amsterdam, Netherlands", fjournal = "Numerische Mathematik", keywords = "column pivoting; error analysis; Gaussian elimination; matrix algebra; partial pivoting; pivoting", treatment = "T Theoretical or Mathematical", } @Article{Scheurle:1977:SPI, author = "J{\"u}rgen Scheurle", title = "{Ein selektives Projektions-Iterationsverfahren und Anwendungen auf Verzweigungsprobleme}. ({German}) [{A selective projection-iteration method and bifurcation}]", journal = j-NUM-MATH, volume = "29", number = "1", pages = "11--35", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:46:42 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", corpsource = "Math. Inst. A, Univ. Stuttgart, Stuttgart, West Germany", fjournal = "Numerische Mathematik", keywords = "abstract spaces; Banach space; bifurcation; boundary-value problems; convergence; convergence of numerical methods; eigenvalue; iterative methods; method; nonlinear equations; selective projection iteration; stability", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Miller:1977:RAS, author = "Webb Miller", title = "Roundoff analysis and sparse data", journal = j-NUM-MATH, volume = "29", number = "1", pages = "37--43", month = mar, year = "1977", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01389311", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "Techniques are emerging which automatically determine the effects of rounding error upon numerical methods of a certain type. Meaningful testing presupposes a reasonable basis for comparison. Typically, the error's effects upon a given method are compared either (i) with the effects of perturbing the computational problem or (ii) with the effects of rounding error upon a competing method. We show that the result of a type (ii) comparison often remains valid when the two methods are adapted for ``sparse'' data, though the comparison might be based upon a model of error propagation which requires that special care be taken. This observation sometimes provides a rationale for preferring comparisons (ii), since the results of type (i) comparisons may well not carry over to sparse data.", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Univ. of California, Santa Barbara, CA, USA", fjournal = "Numerische Mathematik", keywords = "comparisons; error analysis; error propagation; numerical methods; perturbing; rounding error; roundoff analysis; sparse data", treatment = "T Theoretical or Mathematical", } @Article{Drexler:1977:MBS, author = "Franz-Josef Drexler", title = "{Eine Methode zur Berechnung s{\"a}mtlicher L{\"o}sungen von Polynomgleichungssystemen}. ({German}) [{A method for computing all solutions of systems of polynomial equations}]", journal = j-NUM-MATH, volume = "29", number = "1", pages = "45--58", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:54:39 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", keywords = "embedding; equation systems solutions; equations; polynomial equations; polynomials; set of systems", language = "German", treatment = "T Theoretical or Mathematical", } @Article{vonSydow:1977:EEG, author = "Bj{\"o}rn von Sydow", title = "Error estimates for {Gaussian} quadrature formulae", journal = j-NUM-MATH, volume = "29", number = "1", pages = "59--64", month = mar, year = "1977", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01389313", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "We derive both strict and asymtotic error bounds for the Gauss-Jacobi quadrature formula with respect to a general measure. The estimates involve the maximum modulus of the integrand on a contour in the complex plane. The methods are elementary complex analysis.", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Univ. of Lulea, Lulea, Sweden", fjournal = "Numerische Mathematik", keywords = "complex analysis; error analysis; Gauss--Jacobi quadrature formula; integration; maximum modulus; numerical analysis", treatment = "T Theoretical or Mathematical", } @Article{vonWelck:1977:SMP, author = "U. von Welck", title = "{Stabile Merhschichtverfahren f{\"u}r parabolische Evolutionsgleichungen}. ({German}) [{Stable multi-line methods for evolution equations of parabolic type}]", journal = j-NUM-MATH, volume = "29", number = "1", pages = "65--82", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:56:46 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Math. Inst., Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", keywords = "Banach space; evolution equations; initial value problems; line method; multi line methods; nonlinear differential equations; parabolic; parabolic equations; root conditions; stability", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Owens:1977:ABA, author = "R. W. Owens", title = "An algorithm for best approximate solutions of {Ax}=b with a smooth strictly convex norm", journal = j-NUM-MATH, volume = "29", number = "1", pages = "83--91", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., Lewis and Clark Coll., Portland, OR, USA", fjournal = "Numerische Mathematik", keywords = "approximate solutions; approximation theory; convergence; convergence of numerical methods; convex norm; linear algebra; linear equations; linear system; smooth strictly convex norm", treatment = "T Theoretical or Mathematical", } @Article{Glashoff:1977:TNA, author = "K. Glashoff and E. Sachs", title = "On theoretical and numerical aspects of the bang-bang-principle", journal = j-NUM-MATH, volume = "29", number = "1", pages = "93--113", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1330 (Optimal control); C1340K (Nonlinear control systems)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", keywords = "bang bang principle; bang-bang control; boundary-value problems; conditions; Hilbert space; location; numerical method; numerical methods; optimal control; optimisation; parabolic boundary control problem; switching points; theoretical statements", treatment = "T Theoretical or Mathematical", } @Article{Tsao:1977:NIE, author = "Nai-Kuan Tsao", title = "{Newton} interpolation is efficient for approximation of linear functionals", journal = j-NUM-MATH, volume = "29", number = "1", pages = "115--122", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Wayne State Univ., Detroit, MI, USA", fjournal = "Numerische Mathematik", keywords = "approximation; functional equations; interpolation; linear functionals; Newton interpolation; numerical differentiation; numerical interpolation; Vandermonde systems", treatment = "T Theoretical or Mathematical", } @Article{Braess:1977:ENP, author = "Dietrich Braess", title = "{{\"U}ber die Einzugsbereiche der Nullstellen von Polynomen beim Newton-Verfahren}. ({German}) [{On the regions of attraction when computing the roots of polynomials with the {Newton-method}}]", journal = j-NUM-MATH, volume = "29", number = "1", pages = "123--132", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 23:01:25 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Math., Ruhr-Univ. Bochum, Bochum, West Germany", fjournal = "Numerische Mathematik", keywords = "analogue; attraction regions; convergence of numerical methods; Newton method; poles and zeros; polynomial; polynomials; roots; zero", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Spence:1978:EBE, author = "Alastair Spence", title = "Error bounds and estimates for eigenvalues of integral equations", journal = j-NUM-MATH, volume = "29", number = "2", pages = "133--147", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "School of Math., Univ. of Bath, Bath, UK", fjournal = "Numerische Mathematik", keywords = "computable error bounds; dominant error terms; eigenvalues; eigenvalues and eigenfunctions; error analysis; integral equations; nonsymmetric kernels", treatment = "T Theoretical or Mathematical", } @Article{Hartung:1978:SIP, author = "Joachim Hartung", title = "A stable interior penalty method for convex extremal problems", journal = j-NUM-MATH, volume = "29", number = "2", pages = "149--158", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques)", corpsource = "Univ. Bonn, Bonn, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence; convex extremal problems; interior penalty method; minimisation; stable", treatment = "T Theoretical or Mathematical", } @Article{Kolata:1978:AVP, author = "William G. Kolata", title = "Approximation in variationally posed eigenvalue problems", journal = j-NUM-MATH, volume = "29", number = "2", pages = "159--171", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "", MRnumber = "80a:49077", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., Statistics and Computer Sci., American Univ., Washington, DC, USA", fjournal = "Numerische Mathematik", keywords = "approximation theory; bounds; eigenvalue problems; eigenvalues and eigenfunctions; error; error analysis; Ritz Galerkin approximation; variationally posed", treatment = "T Theoretical or Mathematical", } @Article{Brezinski:1978:CAS, author = "C. Brezinski", title = "Convergence acceleration of some sequences by the $\epsilon$-algorithm", journal = j-NUM-MATH, volume = "29", number = "2", pages = "173--177", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "UER d'IEEA-Informatique, Univ. de Lille I, Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", keywords = "acceleration; converge; convergence of numerical methods; epsilon-algorithm; sequences", treatment = "T Theoretical or Mathematical", } @Article{Cromme:1978:SUF, author = "Ludwig Cromme", title = "Strong uniqueness: a far-reaching criterion for the convergence analysis of iterative procedures", journal = j-NUM-MATH, volume = "29", number = "2", pages = "179--193", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Numerische und Angewandte Math., Univ. G{\"o}ttingen, G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence analysis; convergence of numerical methods; iterative methods; iterative procedures; strong uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Kilberth:1978:IBM, author = "K. Kilberth", title = "{Iterative Berechnung mehrfacher L{\"o}sungen von Hammersteinschen Integralgleichungen}. ({German}) [{Iterative calculation of multiple solutions of {Hammerstein} integral equations}]", journal = j-NUM-MATH, volume = "29", number = "2", pages = "195--207", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 23:02:45 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Zentralinst. f{\"u}r Angewandte Math. der Kernforschungsanlage Julich GmbH, Julich, West Germany", fjournal = "Numerische Mathematik", keywords = "error estimate; global convergent; Hammerstein integral equations; implicit iteration; integral equations; iterative methods; multiple solutions", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Beyn:1978:SDS, author = "Wulf-J{\"u}rgen Beyn", title = "{Zur Stabilit{\"a}t von Differenzenverfahren f{\"u}r Systeme linearer gew{\"o}hnlicher Randwertaufgaben}. ({German}) [{On the stability of difference approximations to systems of linear ordinary boundary value problems}]", journal = j-NUM-MATH, volume = "29", number = "2", pages = "209--226", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 23:04:14 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Numerische und Instrumentelle Math., Univ. M{\"u}nster, M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; difference approximations; linear ordinary boundary value problems; stability", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Claessens:1978:UIR, author = "G. Claessens", title = "A useful identity for the rational {Hermite} interpolation table", journal = j-NUM-MATH, volume = "29", number = "2", pages = "227--231", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Antwerp, Wilrijk, Belgium", fjournal = "Numerische Mathematik", keywords = "interpolation; rational Hermite interpolation table; star identity", treatment = "T Theoretical or Mathematical", } @Article{Morita:1978:CCE, author = "Tohru Morita", title = "Calculation of the complete elliptic integrals with complex modulus", journal = j-NUM-MATH, volume = "29", number = "2", pages = "233--236", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Appl. Sci., Faculty of Engng., Tohoku Univ., Sendai, Japan", fjournal = "Numerische Mathematik", keywords = "complete elliptic integrals; complex modulus; integration", treatment = "T Theoretical or Mathematical", } @Article{Allgower:1978:NMM, author = "E. L. Allgower and S. F. McCormick", title = "{Newton}'s method with mesh refinements for numerical solution of nonlinear two-point boundary value problems", journal = j-NUM-MATH, volume = "29", number = "3", pages = "237--260", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Colorado State Univ., Fort Collins, CO, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; convergence of numerical methods; mesh refinement strategy; Newton methods; nonlinear two point boundary valued problems; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Field:1978:EBC, author = "David A. Field", title = "Error bounds for continued fractions {$K(1/b_n)$}", journal = j-NUM-MATH, volume = "29", number = "3", pages = "261--267", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Coll. of the Holy Cross, Worcester, MA, USA", fjournal = "Numerische Mathematik", keywords = "complex error function; continued fractions error bounds; error analysis", treatment = "T Theoretical or Mathematical", } @Article{Turkel:1978:EMD, author = "Eli Turkel", title = "Extrapolation methods for dynamic partial differential equations", journal = j-NUM-MATH, volume = "29", number = "3", pages = "269--285", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Courant Inst. of Math. Sci., New York Univ., New York, NY, USA", fjournal = "Numerische Mathematik", keywords = "difference equations; dynamic partial differential equations; extrapolation; finite difference schemes; partial differential equations; Runge Kutta method", treatment = "T Theoretical or Mathematical", } @Article{Henderson:1978:NMS, author = "D. S. Henderson and A. Wassyng", title = "A new method for the solution of {Ax}=b", journal = j-NUM-MATH, volume = "29", number = "3", pages = "287--289", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Appl. Math., Univ. of the Witwatersrand, Johannesburg, South Africa", fjournal = "Numerische Mathematik", keywords = "Gauss elimination method; matrix algebra; numerical analysis", treatment = "T Theoretical or Mathematical", } @Article{Porsching:1978:EEM, author = "T. A. Porsching", title = "Error estimates for {MAC}-like approximations to the linear {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "29", number = "3", pages = "291--306", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods); B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math. and Statistics, Univ. of Pittsburgh, Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", keywords = "difference equations; error analysis; linear Navier Stokes equations; Navier--Stokes equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Shieh:1978:CCG, author = "A. S. L. Shieh", title = "On the convergence of the conjugate gradient method for singular capacitance matrix equations from the {Neumann} problem of the {Poisson} equation", journal = j-NUM-MATH, volume = "29", number = "3", pages = "307--327", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0210 (Algebra, set theory, and graph theory); B0290B (Error analysis in numerical methods); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Math. Res. Center, Univ. of Wisconsin-Madison, Madison, WI, USA", fjournal = "Numerische Mathematik", keywords = "algorithm; conjugate gradient method convergence; convergence of numerical methods; matrix algebra; partial differential equations; singular capacitance matrix equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Meyer:1978:MLP, author = "Gunter H. Meyer", title = "The method of lines for {Poisson}'s equation with nonlinear or free boundary conditions", journal = j-NUM-MATH, volume = "29", number = "3", pages = "329--344", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Georgia Inst. of Technol., Atlanta, GA, USA", fjournal = "Numerische Mathematik", keywords = "boundary control problem; electrochemical machining; free boundary conditions; lines method; multipoint boundary conditions; nonlinear boundary equations; numerical methods; partial differential equation; partial differential equations; second order ordinary differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stenger:1978:OCM, author = "Frank Stenger", title = "Optimal convergence of minimum norm approximations in {$H_p$}", journal = j-NUM-MATH, volume = "29", number = "4", pages = "345--362", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT, USA", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; function approximation; minimum norm approximation convergence", treatment = "T Theoretical or Mathematical", } @Article{Spedicato:1978:SCV, author = "E. Spedicato and J. Greenstadt", title = "On some classes of variationally derived {quasi-Newton} methods for systems of nonlinear algebraic equations", journal = j-NUM-MATH, volume = "29", number = "4", pages = "363--380", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0220 (Mathematical analysis); C4150 (Nonlinear and functional equations)", corpsource = "Istituto di Matematica, Univ. di Bergamo, Bergamo, Italy", fjournal = "Numerische Mathematik", keywords = "algebra; algorithms; nonlinear algebraic equations; nonlinear equations; numerical methods; variationally derived quasi Newton methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Albrecht:1978:OCM, author = "P. Albrecht", title = "On the order of composite multistep methods for ordinary differential equations", journal = j-NUM-MATH, volume = "29", number = "4", pages = "381--396", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Kernforschungsanlage, Julich, West Germany", fjournal = "Numerische Mathematik", keywords = "composite multistep methods order; convergence; cyclic k step method; differential equations; numerical methods; ordinary differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mastin:1978:TTR, author = "C. Wayne Mastin and Joe F. Thompson", title = "Transformation of three-dimensional regions onto rectangular regions by elliptic systems", journal = j-NUM-MATH, volume = "29", number = "4", pages = "397--407", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods); C4170 (Differential equations)", corpsource = "Inst. for Computer Applications, Mississippi State Univ., Mississippi State, MS, USA", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; elliptic systems; flow; numerical methods; potential flow; three dimensional region transformation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hairer:1978:OID, author = "E. Hairer", title = "On the order of iterated defect correction --- an algebraic proof", journal = j-NUM-MATH, volume = "29", number = "4", pages = "409--424", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Math., Univ. Innsbruck, Innsbruck, Austria", fjournal = "Numerische Mathematik", keywords = "Butcher series theory; differential equations; iterated defect correction order; linear one step method; Runge--Kutta methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stetter:1978:DCP, author = "Hans J. Stetter", title = "The defect correction principle and discretization methods", journal = j-NUM-MATH, volume = "29", number = "4", pages = "425--443", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Numerische Math., Tech. Univ. Wien, Wien, Austria", fjournal = "Numerische Mathematik", keywords = "algorithms; discretisation method defect correction principle; error correction; error estimation; extrapolation; iterative methods", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1978:IVC, author = "Walter Gautschi", title = "On inverses of {Vandermonde} and confluent {Vandermonde} matrices. {III}", journal = j-NUM-MATH, volume = "29", number = "4", pages = "445--450", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "15A12, 65F35", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Purdue Univ., Lafayette, IN, USA", fjournal = "Numerische Mathematik", keywords = "analytic function theory; inverse confluent Vandermonde matrices; inverse Vandermonde matrix; matrix algebra; polynomials", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mittelmann:1978:ASN, author = "Hans-Detlef Mittelmann", title = "On the approximate solution of nonlinear variational inequalities", journal = j-NUM-MATH, volume = "29", number = "4", pages = "451--462", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Fachbereich Math., Tech. Hochschule, Darmstadt, West Germany", fjournal = "Numerische Mathematik", keywords = "coercive variational inequalities; error analysis; globally convergent relaxation method; nonlinear differential equations; nonlinear variational inequalities approximate solution; numerical methods; optimal error estimates", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wilkinson:1978:ASN, author = "J. H. Wilkinson", title = "The {Alston S. Householder Award}", journal = j-NUM-MATH, volume = "29", number = "4", pages = "463--463", month = apr, year = "1978", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01432882", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 11:40:16 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", remark = "1977 Prize awarded to Daniel D. Warner (advisor W. Gragg), ``Hermite Interpolation with Rational Functions'', University of California, San Diego.", } @Article{Lee:1978:ANS, author = "J. W. Lee and P. M. Prenter", title = "An analysis of the numerical solution of {Fredholm} integral equations of the first kind", journal = j-NUM-MATH, volume = "30", number = "1", pages = "1--23", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Dept. of Math., Oregon State Univ., Corvallis, OR, USA", fjournal = "Numerische Mathematik", keywords = "filtered least squares minimum norm solutions; Fredholm integral equations; integral equations; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Jeltsch:1978:SPB, author = "Rolf Jeltsch and L. Kratz", title = "On the stability properties of {Brown}'s multistep multiderivative methods", journal = j-NUM-MATH, volume = "30", number = "1", pages = "25--38", month = mar, year = "1978", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01403904", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Inst. of Math., Ruhr-Univ. Bochum, Bochum, West Germany", fjournal = "Numerische Mathematik", keywords = "differentiation; multistep multiderivative methods; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Potempa:1978:MRQ, author = "H. Potempa", title = "{Modifizierte Restgliedabsch{\"a}tzungen f{\"u}r Quadraturformeln}. ({German}) [{Modified estimates for quadrature errors}]", journal = j-NUM-MATH, volume = "30", number = "1", pages = "39--50", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "41A55 (65D32)", MRnumber = "80d:41014", MRreviewer = "D. C. Handscomb", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Phys. Tech. Bundesanstalt, Braunschweig, West Germany", fjournal = "Numerische Mathematik", keywords = "error analysis; quadrature errors", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Lyness:1978:GFS, author = "J. N. Lyness and P. Keast", title = "On $p$-generator fully symmetric quadrature rules", journal = j-NUM-MATH, volume = "30", number = "1", pages = "51--63", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65D30", MRnumber = "80f:65020", MRreviewer = "D. C. Handscomb", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Appl. Math. Div., Argonne Nat. Lab., Argonne, IL, USA", fjournal = "Numerische Mathematik", keywords = "$p$ generator rules; hypersphere; integration; integration region; numerical analysis; product Gaussian rules; symmetric quadrature rules", treatment = "A Application; T Theoretical or Mathematical", } @Article{Menzel:1978:LPN, author = "Reinhard Menzel and Hubert Schwetlick", title = "{Zur L{\"o}sung parameterabh{\"a}ngiger nichtlinearer Gleichungen mit singul{\"a}ren Jacobi-Matrizen}. ({German}) [{On solving nonlinear equations depending on a real parameter in case of singular {Jacobians}}]", journal = j-NUM-MATH, volume = "30", number = "1", pages = "65--79", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 23:05:39 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Sektion Math., Tech. Univ., Dresden, East Germany", fjournal = "Numerische Mathematik", keywords = "curve point wise approximation; nonlinear equations; numerical methods; singular Jacobians; total derivative", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Natterer:1978:NIR, author = "Frank Natterer", title = "Numerical inversion of the {Radon} transform", journal = j-NUM-MATH, volume = "30", number = "1", pages = "81--91", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4190 (Other numerical methods)", corpsource = "Univ. des Saarlandes, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", keywords = "fast Fourier transform; least squares approximations; piecewise constant trial functions; Radon transform numerical inversion; transforms", treatment = "A Application; T Theoretical or Mathematical", } @Article{Kupper:1978:EDZ, author = "Tassilo K{\"u}pper", title = "{Einschlie{\ss}ungsaussagen bei Differentialoperatoren zweiter Ordnung durch punktweise Ungleichungen}. ({German}) [{Range-domain implications for second order differential operators using pointwise inequalities}]", journal = j-NUM-MATH, volume = "30", number = "1", pages = "93--101", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65J05 (47E05 65L99)", MRnumber = "80a:65108", MRreviewer = "Peter Deuflhard", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Math. Inst., Univ. zu Koln, Koln, West Germany", fjournal = "Numerische Mathematik", keywords = "differentiation; numerical methods; pointwise inequalities; second order differential operators", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Johnson:1978:SEF, author = "C. Johnson and B. Mercier", title = "Some equilibrium finite element methods for two-dimensional elasticity problems", journal = j-NUM-MATH, volume = "30", number = "1", pages = "103--116", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis); C7440 (Civil and mechanical engineering computing)", corpsource = "Dept. of Computer Sci., Chalmers Univ. of Technol., G{\"o}teborg, Sweden", fjournal = "Numerische Mathematik", keywords = "displacements; equilibrium finite element methods; finite element analysis; mechanical engineering computing; piecewise linear functions; stresses; two dimensional elasticity problems", treatment = "A Application; T Theoretical or Mathematical", } @Article{Brunner:1978:DVI, author = "Hermann Brunner", title = "Discretization of {Volterra} integral equations of the first kind. {II}", journal = j-NUM-MATH, volume = "30", number = "2", pages = "117--136", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Dalhousie Univ., Halifax, NS, Canada", fjournal = "Numerische Mathematik", keywords = "first kind Volterra integral equations; integral equations; jump discontinuities; piecewise polynomials; strictly monotone Volterra integral operators; unified convergence analysis", treatment = "A Application; T Theoretical or Mathematical", } @Article{Forst:1978:IID, author = "Wilhelm Forst", title = "{Zur Interpolation und Integration differenzierbarer periodischer Funktionaleng}. ({German}) [{On interpolation and integration of differentiable periodic functions}]", journal = j-NUM-MATH, volume = "30", number = "2", pages = "137--147", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 23:07:09 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Abteilung Math., Univ. Dortmund, Dortmund, West Germany", fjournal = "Numerische Mathematik", keywords = "differentiable periodic function integration; differentiable periodic function interpolation; evaluation functional; integration; interpolation; periodic polynomial splines", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Brombeer:1978:OQF, author = "R{\"u}diger Brombeer", title = "{{\"U}ber optimale Quadraturformeln mit freien Knoten zu Hilbertr{\"a}umen periodischer Funktionen}. ({German}) [{On optimal quadrature formulae with free nodes for {Hilbert}-spaces of periodic functions}]", journal = j-NUM-MATH, volume = "30", number = "2", pages = "149--164", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sat Oct 24 12:49:23 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1120 (Mathematical analysis)", corpsource = "Fachbereich Math., Univ. Kaiserslautern, Kaiserslautern, West Germany", fjournal = "Numerische Mathematik", keywords = "equidistant node optimality; functional analysis; minimal norm quadrature formula; periodic function Hilbert space", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Sautter:1978:FGE, author = "Werner Sautter", title = "{Fehleranalyse f{\"u}r die Gau{\ss}-Elimination zur Berechnung der L{\"o}sung minimaler L{\"a}nge}. ({German}) [{Error Analysis of {Gauss} Elimination for the Best Least Squares Problem}]", journal = j-NUM-MATH, volume = "30", number = "2", pages = "165--184", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:08:03 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Math., Tech. Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", keywords = "error analysis; Gauss elimination error analysis; iterative methods; least squares approximations; least squares problem", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Witsch:1978:NQP, author = "Kristian Witsch", title = "{Numerische Quadratur bei Projektionsverfahren}. ({German}) [{Numerical quadrature in projection methods}]", journal = j-NUM-MATH, volume = "30", number = "2", pages = "185--206", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65N30 (65D30)", MRnumber = "80a:65236", MRreviewer = "J. G. Herriot", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence order; numerical analysis; projection methods", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wolf:1978:AEE, author = "R. Wolf", title = "{Asymptotische Entwicklungen f{\"u}r Eigenwerte und Eigenvektoren bei der Approximation parameternichtlinearer Eigenwertaufgaben}. ({German}) [{Asymptotic expansions for eigenvalues and eigenvectors in the approximation of eigenvalue problems depending nonlinearly on a parameter}]", journal = j-NUM-MATH, volume = "30", number = "2", pages = "207--226", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:48:34 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fachbereich 3 Math., Tech. Univ., Berlin, West Germany", fjournal = "Numerische Mathematik", keywords = "asymptotic expansions; eigenvalues and eigenfunctions; eigenvalues problem approximation; eigenvectors; extrapolation", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Sablonniere:1978:BTS, author = "Paul Sablonni{\`e}re", title = "Bases de type {Schauder} de {$C[0,1]$} et formules de quadrature associ{\`e}es. ({French}) [{Bases} of {Schauder} type in {$C[0,1]$} and associated quadrature formulas]", journal = j-NUM-MATH, volume = "30", number = "2", pages = "227--240", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "IUT Informatique, Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", keywords = "associated quadrature formulas; function approximation", language = "French", treatment = "A Application; T Theoretical or Mathematical", } @Article{Saff:1978:ZPP, author = "E. B. Saff and R. S. Varga", title = "On the zeros and poles of {Pad{\'e}} approximants to $e^z$. {III}", journal = j-NUM-MATH, volume = "30", number = "3", pages = "241--266", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL, USA", fjournal = "Numerische Mathematik", keywords = "approximation theory; function approximation; nonnegative integers; Pad{\'e} approximants; poles and zeros; Whittaker functions", treatment = "A Application; T Theoretical or Mathematical", } @Article{vanVeldhuizen:1978:HOM, author = "M. van Veldhuizen", title = "Higher order methods for a singularly perturbed problem", journal = j-NUM-MATH, volume = "30", number = "3", pages = "267--279", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Wiskundig Seminarium, Vrije Univ., Amsterdam, Netherlands", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; finite element analysis; finite element method; piecewise polynomials; Radau quadrature; singularly perturbed problem", treatment = "A Application; T Theoretical or Mathematical", } @Article{Graves:1978:NIF, author = "Jack Graves and P. M. Prenter", title = "Numerical iterative filters applied to first kind {Fredholm} integral equations", journal = j-NUM-MATH, volume = "30", number = "3", pages = "281--299", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65R20 (65F20)", MRnumber = "81f:65091", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Colorado State Univ., Fort Collins, CO, USA", fjournal = "Numerische Mathematik", keywords = "first kind Fredholm integral equations; integral equations; iterative methods; linear system; singular value decompositions; Strand iterative filters", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wozniakowski:1978:REA, author = "H. Wo{\'z}niakowski", title = "Round-off error analysis of iterations for large linear systems", journal = j-NUM-MATH, volume = "30", number = "3", pages = "301--314", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Computer Sci., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", keywords = "equations; error analysis; floating point arithmetic; Gauss Seidel iteration; iteration round off error analysis; iterative methods; residual vector; sparse linear systems", treatment = "A Application; T Theoretical or Mathematical", } @Article{Zenger:1978:IDS, author = "C. Zenger and H. Gietl", title = "Improved difference schemes for the {Dirichlet} problem of {Poisson}'s equation in the neighbourhood of corners", journal = j-NUM-MATH, volume = "30", number = "3", pages = "315--332", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Leibniz-Rechenzentrum, Bayerischen Akad. der Wissenschaften, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary values; boundary-value problems; difference equations; Dirichlet problem; partial differential equations; Poisson equation; polygonal domain", treatment = "A Application; T Theoretical or Mathematical", } @Article{Witsch:1978:PNVa, author = "Kristian Witsch", title = "{Projektive Newton-Verfahren bei elliptischen Randwertaufgaben}. ({German}) [{Projective Newton methods for elliptic boundary value problems}]", journal = j-NUM-MATH, volume = "30", number = "3", pages = "333--347", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65N30", MRnumber = "80b:65140", MRreviewer = "P. Laasonen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; convergence of numerical methods; elliptic boundary value problems; error analysis; finite element analysis; linear equations; optimal convergence theorems; projective Newton methods; Ritz method", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Brass:1978:MQG, author = "Helmut Bra{\ss}", title = "{Monotonie bei den Quadratureverfahren von Gau{\ss} und Newton--Cotes}. ({German}) [{Monotony in the quadrature rules of Gauss and Newton--Cotes}]", journal = j-NUM-MATH, volume = "30", number = "3", pages = "349--354", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Lehrstuhl E. f{\"u}r Math., Tech. Univ. Braunschweig, Braunschweig, West Germany", fjournal = "Numerische Mathematik", keywords = "integral equations; numerical methods; quadrature rules monotony", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Good:1978:IST, author = "I. J. Good and T. N. Tideman", title = "Integration over a simplex, truncated cubes, and {Eulerian} numbers", journal = j-NUM-MATH, volume = "30", number = "4", pages = "355--367", month = dec, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Virginia State Univ., Blacksburg, VA, USA", fjournal = "Numerische Mathematik", keywords = "algorithm; centroid method; discrete Fourier transform; Eulerian numbers; function integration; integration; numerical methods; simplex; truncated cubes", treatment = "A Application; T Theoretical or Mathematical", } @Article{Gekeler:1978:AEE, author = "E. Gekeler", title = "A-priori error estimates of {Galerkin} backward differentiation methods in time-inhomogeneous parabolic problems", journal = j-NUM-MATH, volume = "30", number = "4", pages = "369--383", month = dec, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Math. Inst., Univ. Stuttgart, Stuttgart, West Germany", fjournal = "Numerische Mathematik", keywords = "a priori error estimate; differentiation; error analysis; Galerkin backward differentiation methods; linear ordinary differential equations; Lipschitz constant; mean square norm; parabolic partial differential equations; partial differential equations; time inhomogeneous parabolic problem", treatment = "A Application; T Theoretical or Mathematical", } @Article{Cash:1978:HOM, author = "J. R. Cash", title = "High order methods for the numerical integration of ordinary differential equations", journal = j-NUM-MATH, volume = "30", number = "4", pages = "385--409", month = dec, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65L05", MRnumber = "80i:65078", MRreviewer = "W. H. Enright", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. of Maths., Imperial Coll. of Sci. and Technol., London, UK", fjournal = "Numerische Mathematik", keywords = "algorithms; differential equations; high order method; integration; numerical integration; numerical methods; one step methods; ordinary differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Cooper:1978:LFE, author = "G. J. Cooper and F. C. P. Whitworth", title = "{Liapunov} functions and error bounds for approximate solutions of ordinary differential equations", journal = j-NUM-MATH, volume = "30", number = "4", pages = "411--414", month = dec, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "School of Math. and Phys. Sci., Univ. of Sussex, Brighton, UK", fjournal = "Numerische Mathematik", keywords = "differential equations; error analysis; error bounds; Lyapunov functions; numerical methods; ordinary differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Sloan:1978:PCR, author = "Ian H. Sloan and W. E. Smith", title = "Product-integration with the {Clenshaw--Curtis} and related points-convergence properties", journal = j-NUM-MATH, volume = "30", number = "4", pages = "415--428", month = dec, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Appl. Maths. Dept., Univ. of New South Wales, Sydney, NSW, Australia", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; integral; integration; product integration method", treatment = "T Theoretical or Mathematical", } @Article{Majda:1978:SAC, author = "Andrew Majda and Stanley Osher", title = "A systematic approach for correcting nonlinear instabilities --- the {Lax--Wendroff} scheme for scalar conservation laws", journal = j-NUM-MATH, volume = "30", number = "4", pages = "429--452", month = dec, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65M10", MRnumber = "80g:65101", MRreviewer = "C. Bardos", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Maths., Univ. of California, Los Angeles, CA, USA", fjournal = "Numerische Mathematik", keywords = "difference equations; nonlinear instabilities; partial differential equations; scalar conservation laws", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wegmann:1978:IKA, author = "Rudolf Wegmann", title = "{Ein Iterationsverfahren zur konformen Abbildung}. ({German}) [{An iterative method in conformal mapping}]", journal = j-NUM-MATH, volume = "30", number = "4", pages = "453--466", month = dec, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:49:32 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Max-Planck-Inst. f{\"u}r Phys. and Astrophys., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", keywords = "boundary values; conformal mapping; integral equations; iterative method; iterative methods; Newton method; Riemann Hilbert method; singular integral equation", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Brezzi:1978:EEF, author = "Franco Brezzi and William W. Hager and P.-A. Raviart", title = "Error estimates for the finite element solution of variational inequalities. {II}. Mixed methods", journal = j-NUM-MATH, volume = "31", number = "1", pages = "1--16", month = mar, year = "1978", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01396010", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "", MRnumber = "80b:65135", MRreviewer = "Georges A. Lebaud", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Politecnico di Torino, Torino, Italy", fjournal = "Numerische Mathematik", keywords = "error analysis; error estimation; finite element analysis; variational inequalities finite element solution", treatment = "A Application; T Theoretical or Mathematical", } @Article{Belogus:1978:DIA, author = "David Belogus and Nadav Liron", title = "{DCR2}: an improved algorithm for $\ell_{\infty}$ rational approximation on intervals", journal = j-NUM-MATH, volume = "31", number = "1", pages = "17--29", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "", MRnumber = "80a:65030", MRreviewer = "C. Dierieck", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot, Israel", fjournal = "Numerische Mathematik", keywords = "algorithm; Chebyshev approximation; nonnegative integer", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bunch:1978:ROM, author = "James R. Bunch and Christopher P. Nielsen and Danny C. Sorensen", title = "Rank One Modification of the Symmetric Eigenproblem", journal = j-NUM-MATH, volume = "31", number = "1", pages = "31--48", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "", MRnumber = "80g:65038", MRreviewer = "C. G. Cullen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of California, San Diego, La Jolla, CA, USA", fjournal = "Numerische Mathematik", keywords = "algorithm; eig; eigenvectors; matrix algebra; nla; perturbation analysis; perturbation techniques; symmetric eigenproblem rank one modification; symmetric matrix; updating", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bank:1978:EAS, author = "Randolph E. Bank", title = "Efficient algorithms for solving tensor product finite element equations", journal = j-NUM-MATH, volume = "31", number = "1", pages = "49--61", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "", MRnumber = "80c:65199", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Texas, Austin, TX, USA", fjournal = "Numerische Mathematik", keywords = "algorithms; finite difference approximations; finite element analysis; linear differential equations; Poisson equation; tensor product finite element equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Richter:1978:SPP, author = "Gerard R. Richter", title = "Superconvergence of piecewise polynomial {Galerkin} approximations, for {Fredholm} integral equations of the second kind", journal = j-NUM-MATH, volume = "31", number = "1", pages = "63--70", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "", MRnumber = "80a:65273", MRreviewer = "P. M. Anselone", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Computer Sci., Rutgers State Univ. of New Jersey, New Brunswick, NJ, USA", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; integral equations; piecewise polynomial Galerkin approximations; second kind Fredholm integral equations; superconvergence properties", treatment = "A Application; T Theoretical or Mathematical", } @Article{Simpson:1978:NIS, author = "I. C. Simpson", title = "Numerical integration over a semi-infinite interval, using the lognormal distribution", journal = j-NUM-MATH, volume = "31", number = "1", pages = "71--76", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "", MRnumber = "81g:65028", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Appl. Math., Queen Mary Coll., Univ. of London, London, UK", fjournal = "Numerische Mathematik", keywords = "Gaussian formula; integration; lognormal distribution; lognormal weight function; numerical methods; orthogonal polynomials; semi infinite interval numerical integration", treatment = "A Application; T Theoretical or Mathematical", } @Article{Schultz:1978:AAN, author = "Reinhart Schultz", title = "{Ein Abstiegsverfahren f{\"u}r Approximationsaufgaben in normierten R{\"a}umen}. ({German}) [{A descent method for approximation problems in normed spaces}]", journal = j-NUM-MATH, volume = "31", number = "1", pages = "77--95", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Jun 01 11:50:53 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Seminar f{\"u}r Industriebetriebslehre and Organisation, Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", keywords = "approximation theory; constrained approximation; extremal subgradients; normed linear spaces; numerical method; sublinear functional extremal subgradient", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Muhlbach:1978:GNA, author = "G. M{\"u}hlbach", title = "The general {Neville--Aitken-algorithm} and some applications", journal = j-NUM-MATH, volume = "31", number = "1", pages = "97--110", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "", MRnumber = "80a:65025", MRreviewer = "Marc Duc-Jacquet", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Praktische Math., Tech. Univ., Hannover, West Germany", fjournal = "Numerische Mathematik", keywords = "function interpolation; functions combination; general Neville Aitken algorithm; interpolation; recurrence formula", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bunch:1978:USV, author = "James R. Bunch and Christopher P. Nielsen", title = "Updating the Singular Value Decomposition", journal = j-NUM-MATH, volume = "31", number = "2", pages = "111--129", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "", MRnumber = "80m:65025", MRreviewer = "B. Levinger", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of California, San Diego, La Jolla, CA, USA", fjournal = "Numerische Mathematik", keywords = "algorithm; least squares problem; matrix algebra; matrix rank; nla; singular value decomposition; svd; updating", treatment = "T Theoretical or Mathematical", } @Article{Mannshardt:1978:OSM, author = "Reinhold Mannshardt", title = "One-step methods of any order for ordinary differential equations with discontinuous right-hand sides", journal = j-NUM-MATH, volume = "31", number = "2", pages = "131--152", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "", MRnumber = "80b:65101", MRreviewer = "Steven M. Serbin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Rechenzentrum, Ruhr-Univ., Bochum, West Germany", fjournal = "Numerische Mathematik", keywords = "convergence; differential equations; iterative methods; Newton iteration scheme; one step method; ordinary differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wolfe:1978:EIM, author = "M. A. Wolfe", title = "Extended iterative methods for the solution of operator equations", journal = j-NUM-MATH, volume = "31", number = "2", pages = "153--174", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "", MRnumber = "80a:65126", MRreviewer = "U. Tippenhauer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Appl. Math., Univ. of St. Andrews, St. Andrews, UK", fjournal = "Numerische Mathematik", keywords = "Banach space; functional equations; iterative methods; operator equations", treatment = "A Application; G General Review", } @Article{Zlatev:1978:SPV, author = "Zahari Zlatev", title = "Stability properties of variable stepsize variable formula methods", journal = j-NUM-MATH, volume = "31", number = "2", pages = "175--182", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "", MRnumber = "80b:65107", MRreviewer = "Steven M. Serbin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Univ. of Copenhagen, Copenhagen, Denmark", fjournal = "Numerische Mathematik", keywords = "convergence of numerical methods; differential equations; first order differential equations; variable stepsize variable formula methods; zero stability class", treatment = "T Theoretical or Mathematical", } @Article{Manteuffel:1978:APE, author = "Thomas A. Manteuffel", title = "Adaptive procedure for estimating parameters for the nonsymmetric {Tchebychev} iteration", journal = j-NUM-MATH, volume = "31", number = "2", pages = "183--208", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "", MRnumber = "80d:65047", MRreviewer = "C. A. Hall", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Appl. Math. Div., Sandia Labs., Livermore, CA, USA", fjournal = "Numerische Mathematik", keywords = "Chebyshev approximation; eigenvalues; large sparse nonsymmetric linear systems; nonsymmetric Chebyshev approximation; polynomials", treatment = "A Application; T Theoretical or Mathematical", } @Article{Witsch:1978:PNVb, author = "Kristian Witsch", title = "{Projektive Newton-Verfahren und Anwendungen auf nichtlineare Randwertaufgaben}. ({German}) [{Projective Newton methods and applications to nonlinear boundary value problems}]", journal = j-NUM-MATH