%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "3.07", %%% date = "18 October 2007", %%% time = "13:02:21 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 = "50730 69675 286513 2793858", %%% 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 3.07, the year coverage looked %%% like this: %%% %%% 1959 ( 14) 1974 ( 45) 1989 ( 95) %%% 1960 ( 30) 1975 ( 67) 1990 ( 99) %%% 1961 ( 28) 1976 ( 75) 1991 ( 85) %%% 1962 ( 45) 1977 ( 72) 1992 ( 96) %%% 1963 ( 39) 1978 ( 75) 1993 ( 76) %%% 1964 ( 43) 1979 ( 72) 1994 ( 84) %%% 1965 ( 49) 1980 ( 71) 1995 ( 81) %%% 1966 ( 65) 1981 ( 72) 1996 ( 68) %%% 1967 ( 56) 1982 ( 73) 1997 ( 76) %%% 1968 ( 88) 1983 ( 50) 1998 ( 83) %%% 1969 ( 50) 1984 ( 94) 1999 ( 87) %%% 1970 ( 84) 1985 ( 77) 2000 ( 0) %%% 1971 ( 76) 1986 ( 97) 2001 ( 0) %%% 1972 ( 74) 1987 ( 72) 2002 ( 1) %%% 1973 ( 71) 1988 ( 107) %%% %%% Article: 2861 %%% Book: 1 %%% %%% Total entries: 2862 %%% %%% 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", acknowledgement = ack-nhfb, 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 = "Theory/Matrix.bib", 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @Article{Comet:1959:UAB, author = "Stig Comet", 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", note = "See correction \cite{Bertram:1960:BMA}.", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @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", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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)", } @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", acknowledgement = ack-nhfb, } @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 = "Theory/Matrix.bib", 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", note = "See \cite{Bertram:1959:VFR}.", acknowledgement = ack-nhfb, 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 = "Theory/Matrix.bib", 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", note = "See correction \cite{Halton:1960:BEC}.", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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 = "Parallel/par.lin.alg.bib; Theory/Matrix.bib", keywords = "eig; la; norm; pert", } @Article{Machly:1960:TAKa, author = "H. Machly and C. 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, 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", note = "See \cite{Halton:1960:ECQ}.", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, language = "German", } @Article{Machly:1960:TAKb, author = "H. Machly and C. 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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)", } @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", acknowledgement = ack-nhfb, language = "German", } @Article{Schaefke:1961:VBC, author = "Friedrich Wilhelm Schaefke", 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", note = "See correction \cite{Douglas:1962:CMP}.", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, 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 = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib", acknowledgement = ack-nhfb, 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 = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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)", } @Article{Schaefke:1962:VBC, author = "F. W. Schaefke and R. Ebert and H. 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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)", } @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", acknowledgement = ack-nhfb, 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 = "Theory/Matrix.bib", 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", } @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)", } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, 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 = "Parallel/par.lin.alg.bib", } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @Article{Greenstadt:1962:SNE, author = "J. 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", acknowledgement = ack-nhfb, } @Article{Albrecht:1962:FKM, author = "J. 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", acknowledgement = ack-nhfb, language = "German", } @Article{Chow:1962:SLE, author = "T. S. Chow and H. 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", note = "See \cite{Douglas:1961:ADI}.", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, } @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", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, } @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", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, language = "German", } @Article{Salzer:1963:EWF, author = "H. 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", series = "Handbook Series Special functions", acknowledgement = ack-nhfb, } @Article{Naur:1963:RRA, author = "P. Naur and J. W. Backus and F. L. Bauer and J. Green and C. Katz and J. McCarthy 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", acknowledgement = ack-nhfb, } @Article{Neubauer:1963:EUM, author = "G. 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", acknowledgement = ack-nhfb, language = "German", } @Article{Meinardus:1963:UVU, author = "G. 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", acknowledgement = ack-nhfb, language = "German", } @Article{Kreiss:1963:UID, author = "H-O. 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, language = "German", } @Article{Sauer:1963:DHA, author = "R. 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, 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 = "Parallel/par.lin.alg.bib", } @Article{Struble:1963:OPV, author = "G. 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", acknowledgement = ack-nhfb, } @Article{Rutishauser:1963:SSQ, author = "H. 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", acknowledgement = ack-nhfb, language = "German", } @Article{Frank:1963:CEB, author = "E. 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", acknowledgement = ack-nhfb, } @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", note = "See correction \cite{Aronson:1963:CPS}.", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, language = "French", } @Article{Lynn:1963:SIM, author = "M. S. 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @Article{Descloux:1963:BSN, author = "J. 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", mynote = "f(triangular)", } @Article{Ginsburg:1963:CGM, author = "T. 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", acknowledgement = ack-nhfb, } @Article{Seidman:1963:SCD, author = "T. 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", acknowledgement = ack-nhfb, } @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", } @Article{Haemmerlin:1963:UAS, author = "G. 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", acknowledgement = ack-nhfb, language = "German", } @Article{Householder:1963:SVI, author = "A. S. Householder and J. 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)", } @Article{Weinstein:1963:SLT, author = "A. 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", note = "See \cite{Aronson:1963:SCF}.", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @Article{Toernig:1963:UDR, author = "Willi Toernig", 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @Article{Stetter:1963:MBS, author = "H. 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", acknowledgement = ack-nhfb, } @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)", } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, 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 = "Parallel/par.lin.alg.bib; Theory/Matrix.bib", 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", acknowledgement = ack-nhfb, language = "German", } @Article{Schneider:1965:POI, author = "H. 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", acknowledgement = ack-nhfb, } @Article{Stetter:1965:AEE, author = "H. 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, language = "German", } @Article{Bergmann:1965:NSB, author = "S. 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @Article{Bulirsch:1965:NCE, author = "R. 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", series = "Handbook Series Special functions", acknowledgement = ack-nhfb, } @Article{Miller:1965:NAS, author = "K. 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", acknowledgement = ack-nhfb, } @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)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Parter:1965:MNE, author = "S. 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", acknowledgement = ack-nhfb, } @Article{Greenspan:1965:MNE, author = "D. Greenspan and S. 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", acknowledgement = ack-nhfb, } @Article{Marsal:1965:VSE, author = "D. 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", acknowledgement = ack-nhfb, 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @Article{Todd:1965:SIG, author = "J. 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)", } @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", acknowledgement = ack-nhfb, language = "German", } @Article{Parlett:1965:CA, author = "B. 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", acknowledgement = ack-nhfb, } @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", series = "Handbook Series Special Functions", acknowledgement = ack-nhfb, } @Article{Garsia:1965:SBB, author = "A. 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", acknowledgement = ack-nhfb, } @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 = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib", acknowledgement = ack-nhfb, keywords = "Householder transformation; lsq; nla; qrd; updating", } @Article{Bennett:1965:TFM, author = "J. 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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @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", acknowledgement = ack-nhfb, } @Article{Haemmerlin:1965:UAS, author = "Guenther Haemmerlin", 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.