%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "3.28",
%%% date = "14 October 2011",
%%% time = "17:10:42 MDT",
%%% filename = "nummath.bib",
%%% address = "University of Utah
%%% Department of Mathematics, 110 LCB
%%% 155 S 1400 E RM 233
%%% Salt Lake City, UT 84112-0090
%%% USA",
%%% telephone = "+1 801 581 5254",
%%% FAX = "+1 801 581 4148",
%%% URL = "http://www.math.utah.edu/~beebe",
%%% checksum = "21965 76773 311634 3176781",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "BibTeX, bibliography, Numerische Mathematik",
%%% license = "public domain",
%%% supported = "yes",
%%% docstring = "This is a COMPLETE bibliography of
%%% publications in the journal Numerische
%%% Mathematik (CODEN NUMMA7, ISSN 0029-599X
%%% (print), 0945-3245 (electronic)), which begin
%%% publishing in 1959. This file covers the
%%% years 1959--1999. The companion files
%%% nummath20xx.bib cover later decades.
%%%
%%% There were from three to eight issues per
%%% year from 1959 to 1985, and since then,
%%% twelve per year.
%%%
%%% The journal is published by Springer-Verlag.
%%%
%%% At version 3.28, the year coverage looked
%%% like this:
%%%
%%% 1959 ( 24) 1974 ( 45) 1989 ( 95)
%%% 1960 ( 34) 1975 ( 67) 1990 ( 99)
%%% 1961 ( 40) 1976 ( 75) 1991 ( 85)
%%% 1962 ( 45) 1977 ( 72) 1992 ( 96)
%%% 1963 ( 42) 1978 ( 75) 1993 ( 76)
%%% 1964 ( 43) 1979 ( 72) 1994 ( 84)
%%% 1965 ( 50) 1980 ( 71) 1995 ( 81)
%%% 1966 ( 65) 1981 ( 72) 1996 ( 68)
%%% 1967 ( 57) 1982 ( 73) 1997 ( 76)
%%% 1968 ( 91) 1983 ( 52) 1998 ( 83)
%%% 1969 ( 51) 1984 ( 95) 1999 ( 88)
%%% 1970 ( 91) 1985 ( 77) 2000 ( 0)
%%% 1971 ( 76) 1986 ( 97) 2001 ( 1)
%%% 1972 ( 76) 1987 ( 72) 2002 ( 1)
%%% 1973 ( 72) 1988 ( 107)
%%%
%%% Article: 2911
%%% Book: 1
%%%
%%% Total entries: 2912
%%%
%%% Despite its German title, most of the
%%% articles in this journal are in English; only
%%% 85 (3%) are in French (including, curiously,
%%% one whose title is in English!), and 310
%%% (11%) are in German. English translations
%%% are supplied for all of the French and German
%%% titles.
%%%
%%% Cross-references are supplied for all
%%% corrigenda and errata, so that citing one
%%% will automatically provide citations of the
%%% others.
%%%
%%% The journal has a gopher site at
%%%
%%% gopher://trick.ntp.springer.de/11/TOC/211/
%%%
%%% with tables of contents for 1993--1997, and a
%%% World Wide Web site at
%%%
%%% http://link.springer.de/link/service/journals/00211/tocs.htm
%%%
%%% with tables of contents and abstracts for
%%% 1994--2000, and a home page at
%%%
%%% http://link.springer.de/journals/nummath/
%%%
%%% Currently paid-up journal subscribers can
%%% obtain access to the full-text electronic
%%% edition of the journal in PDF and
%%% compressed PostScript formats. For
%%% details, visit the World Wide Web site
%%%
%%% http://science.springer.de/nmee/nm-main.htm.
%%%
%%% Beginning with Volume 67 Number 1 (1994),
%%% URLs pointing to abstracts are included
%%% with each entry. Their names are
%%% constructed systematically from the volume,
%%% number, initial page, and year, so that
%%% they can be, and have been, generated
%%% automatically by software. However, the
%%% publisher's Web site is about a year behind
%%% the journal, so not all of the URLs given
%%% below are reachable yet. The abstract pages
%%% contain further links to the full text which
%%% are accessible to qualified subscribers, as
%%% noted above.
%%%
%%% This journal is unusual in that some volumes
%%% span two years, some issues are assigned two
%%% consecutive issue numbers, and no months were
%%% clearly associated with issue numbers until
%%% volume 35, number 1, in 1980. [Actually,
%%% there WAS a tiny day/month stamp at the
%%% bottom of the covers for volumes 14--34, but
%%% this bibliography does not yet incorporate
%%% that information.] Citations in the journal
%%% to papers in the journal normally just give
%%% volume, pages, and year data. Volumes 1--13
%%% (1959--1969) had no assigned issue numbers at
%%% all, just a volume number.
%%%
%%% And now for a historical note: Twenty-four of
%%% these articles were pre-publications in
%%% Numerische Mathematik during the years
%%% 1965--1970 of all but five of the chapters of
%%% the famous book edited by Wilkinson and
%%% Reinsch in 1971, the ``Handbook of Automatic
%%% Computation, Volume II, Linear Algebra'',
%%% often known as HACLA, or just ``the yellow
%%% book''.
%%%
%%% This may have been the first serious attempt
%%% to publish high-quality working numerical
%%% software. Although the publication language
%%% chosen was Algol 60, the algorithms,
%%% sometimes with improvements, were later
%%% incorporated as Fortran subroutines in the
%%% even-more famous EISPACK (1976) and LINPACK
%%% (1979) libraries, and those in turn were
%%% merged into the highly-developed LAPACK
%%% system, which is available in Fortran and C,
%%% and later, the LAPACK++ system in C++.
%%%
%%% Cross-references to the HACLA book are
%%% provided for all those twenty-four articles
%%% in the bibliography below.
%%%
%%% The great success of this software
%%% publication certainly provided evidence of
%%% the value of such work, and in 1975, the
%%% journal ACM Transactions on Mathematical
%%% Software was formed to carry on the tradition
%%% of HACLA, and the ACM Algorithm collection. A
%%% total of 792 high-quality algorithms have
%%% been published this way by Spring 1999.
%%%
%%% The initial draft of entries for 1990--1996
%%% was derived from the OCLC Contents1st
%%% database. Additions were then made from all
%%% of the bibliographies in the TeX User Group
%%% collection, from bibliographies in the
%%% author's personal files, from the Compendex
%%% databases (1980--1999), from the IEEE INSPEC
%%% database (1970--1997), from the MathSciNet
%%% database, from the European Mathematical
%%% Society (Zentrallblat fuer Mathematik)
%%% database, and from the computer science
%%% bibliography collection at
%%% ftp://ftp.ira.uka.de/pub/bibliography to
%%% which many people have contributed.
%%%
%%% Numerous errors in the sources noted above
%%% have been corrected. Spelling has been
%%% verified with the UNIX spell and GNU ispell
%%% programs using the exception dictionary
%%% stored in the companion file with extension
%%% .sok.
%%%
%%% BibTeX citation tags are uniformly chosen
%%% as name:year:abbrev, where name is the
%%% family name of the first author or editor,
%%% year is a 4-digit number, and abbrev is a
%%% 3-letter condensation of important title
%%% words. Citation tags were automatically
%%% generated by software developed for the
%%% BibNet Project.
%%%
%%% In this bibliography, entries are sorted in
%%% publication order within each journal,
%%% using bibsort -bypages.
%%%
%%% The checksum field above contains a CRC-16
%%% checksum as the first value, followed by the
%%% equivalent of the standard UNIX wc (word
%%% count) utility output of lines, words, and
%%% characters. This is produced by Robert
%%% Solovay's checksum utility.",
%%% }
%%% ====================================================================
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%%% macro, if necessary
@Preamble{
"\ifx \k \undefined \let \k = \c \fi"
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%%%=====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|http://www.math.utah.edu/~beebe/|"}
@String{ack-sf = "Stefano Foresti,
Utah Supercomputing Institute,
University of Utah,
Salt Lake City, UT 84112, USA,
Tel: +1 801 581 3173,
FAX: +1 801 585 5366,
e-mail: \path|stefano@osiris.usi.utah.edu|"}
%%%=====================================================================
%%% Journal abbreviations:
@String{j-NUM-MATH = "Numerische Mathematik"}
%%%=====================================================================
%%% Publishers and their addresses:
@String{pub-SV = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg,
Germany~/ London, UK~/ etc."}
%%%=====================================================================
%%% Bibliography entries.
@Article{Stiefel:1959:DLT,
author = "E. Stiefel",
title = "{{\"U}ber diskrete und lineare
Tschebyscheff-Approximationen}. ({German}) [{On}
Discrete and Linear {Chebyshev} Approximations]",
journal = j-NUM-MATH,
volume = "1",
pages = "1--28",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Householder:1959:CME,
author = "Alston S. Householder and Friedrich L. Bauer",
title = "On Certain Methods for Expanding the Characteristic
Polynomial",
journal = j-NUM-MATH,
volume = "1",
pages = "29--37",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:40:54 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
fjournal = "Numerische Mathematik",
keywords = "characteristic polynomial; eig; nla",
}
@Article{Weisfeld:1959:OPS,
author = "M. Weisfeld",
title = "Orthogonal polynomials in several variables",
journal = j-NUM-MATH,
volume = "1",
pages = "38--40",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Perlis:1959:RAL,
author = "A. J. Perlis and K. Samelson",
title = "Report on the algorithmic language {ALGOL} by the
{ACM} committee on programming languages and the {GAMM}
committee on programming",
journal = j-NUM-MATH,
volume = "1",
pages = "41--60",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Collatz:1959:ELR,
author = "Lothar Collatz and J. Schroeder",
title = "{Einschlie{\ss}en der L{\"o}sungen von
Randwertaufgaben}. ({German}) [{Bracketing} Solutions
to Boundary Value Problems]",
journal = j-NUM-MATH,
volume = "1",
pages = "61--72",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Dueck:1959:FEL,
author = "W. Dueck",
title = "{Eine Fehlerabsch{\"a}tzung zum Einzelschrittverfahren
bei linearen Gleichungssystemen}. ({German}) [{An}
Error Bound for the Independent Step Method in Linear
Equation Systems]",
journal = j-NUM-MATH,
volume = "1",
pages = "73--77",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Kreyszig:1959:RUE,
author = "Erwin Kreyszig and John Todd",
title = "The radius of univalence of the error function",
journal = j-NUM-MATH,
volume = "1",
pages = "78--89",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Comet:1959:UAB,
author = "Stig Com{\'e}t",
title = "{{\"U}ber die Anwendung von Bin{\"a}rmodellen in der
Theorie der Charaktere der symmetrischen Gruppen}.
({German}) [{On} the use of the Binary Model in the
Theory of Characters of Symmetric Groups]",
journal = j-NUM-MATH,
volume = "1",
pages = "90--109",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Walther:1959:NBG,
author = "A. Walther and H. Schappert",
title = "{Numerische Behandlung des Gelenkvierecks}. ({German})
[{Numerical} Treatment of General Quadrilaterals]",
journal = j-NUM-MATH,
volume = "1",
pages = "110--120",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Cohn:1959:NSR,
author = "Harvey Cohn",
title = "Numerical study of the representation of a totally
positive quadratic integer as the sum of quadratic
integral squares",
journal = j-NUM-MATH,
volume = "1",
pages = "121--134",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bertram:1959:VFR,
author = "G. Bertram",
title = "{Versch{\"a}rfung einer Fehlerabsch{\"a}tzung zum
Ritz--Galerkinschen Verfahren von Kryloff f{\"u}r
Randwertaufgaben}. ({German}) [{Tightening} of an Error
Bound for the {Ritz--Galerkin} Method for {Krylov}
Boundary Value Problems]",
journal = j-NUM-MATH,
volume = "1",
pages = "135--141",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See correction \cite{Bertram:1960:BMA}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Wynn:1959:PEC,
author = "P. Wynn",
title = "On the propagation of error in certain non-linear
algorithms",
journal = j-NUM-MATH,
volume = "1",
pages = "142--149",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wilkinson:1959:EZIa,
author = "J. H. Wilkinson",
title = "The evaluation of the zeros of ill-conditioned
polynomials. {I}",
journal = j-NUM-MATH,
volume = "1",
pages = "150--166",
month = dec,
year = "1959",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01386381",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wilkinson:1959:EZIb,
author = "J. H. Wilkinson",
title = "The evaluation of the zeros of ill-conditioned
polynomials. {II}",
journal = j-NUM-MATH,
volume = "1",
pages = "167--180",
month = dec,
year = "1959",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01386382",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bertram:1959:FGS,
author = "G. Bertram",
title = "{Eine Fehlerabsch{\"a}tzung f{\"u}r gewisse
selbstadjungierte, gew{\"o}hnliche Randwertaufgaben}.
({German}) [{An} error estimate for certain adjoint
ordinary boundary value problems]",
journal = j-NUM-MATH,
volume = "1",
number = "1",
pages = "181--185",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:01 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=181",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Kreiss:1959:DHG,
author = "Heinz-Otto Kreiss",
title = "{{\"U}ber die Differenzapproximation hoher Genauigkeit
bei Anfangswertproblemen f{\"u}r partielle
Differentialgleichungen}. ({German}) [On the difference
approximation of higher accuracy with initial value
problems for partial differential equations]",
journal = j-NUM-MATH,
volume = "1",
number = "1",
pages = "186--202",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:01 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=186",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Wynn:1959:SCI,
author = "P. Wynn",
title = "A sufficient condition for the instability of the q-d
algorithm",
journal = j-NUM-MATH,
volume = "1",
number = "1",
pages = "203--207",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:01 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=203",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bauer:1959:NFT,
author = "F. L. Bauer and H. J. Stetter",
title = "{Zur numerischen Fourier--Transformation}. ({German})
[{The} numerical {Fourier} transform]",
journal = j-NUM-MATH,
volume = "1",
number = "1",
pages = "208--220",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:01 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=208",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Sikkema:1959:GAB,
author = "P. C. Sikkema",
title = "{\"U}ber den {Grad} der {Approximation} mit
{Bernstein--Polynomen}. ({German}) [{On} the degree of
approximation with {Bernstein} polynomials]",
journal = j-NUM-MATH,
volume = "1",
number = "1",
pages = "221--239",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:01 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=221",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Parter:1959:SLI,
author = "Seymour V. Parter",
title = "On ``two-line'' iterative methods for the {Laplace}
and biharmonic difference equations",
journal = j-NUM-MATH,
volume = "1",
number = "1",
pages = "240--252",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:01 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=240",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Cheney:1959:NMC,
author = "E. W. Cheney and A. A. Goldstein",
title = "{Newton}'s method for convex programming and
{Tchebycheff} approximation",
journal = j-NUM-MATH,
volume = "1",
number = "1",
pages = "253--268",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:01 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=253",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Dijkstra:1959:NTP,
author = "E. W. Dijkstra",
title = "A note on two problems in connexion with graphs",
journal = j-NUM-MATH,
volume = "1",
number = "1",
pages = "269--271",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:01 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=269",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wynn:1959:CFCa,
author = "P. Wynn",
title = "Converging factors for continued fractions. {Part I}",
journal = j-NUM-MATH,
volume = "1",
number = "1",
pages = "272--307",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:01 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=272",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wynn:1959:CFCb,
author = "P. Wynn",
title = "Converging factors for continued fractions. {Part
II}",
journal = j-NUM-MATH,
volume = "1",
number = "1",
pages = "308--320",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:01 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=308",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stiefel:1960:NJE,
author = "E. Stiefel",
title = "Note on {Jordan} elimination, linear programming and
{Tchebyscheff} approximation",
journal = j-NUM-MATH,
volume = "2",
pages = "1--17",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wetterling:1960:EKB,
author = "W. Wetterling",
title = "{Zum Einschlie{\ss}ungssatz von Kryloff-Bogoliubov
f{\"u}r allgemeine Eigenwertaufgaben bei
gew{\"o}hnlichen Differentialgleichungen}. ({German})
[{An} enclosure theorem of {Kryloff-Bogoliubov} for
ordinary eigenvalue problems in ordinary differential
equations]",
journal = j-NUM-MATH,
volume = "2",
pages = "18--21",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Feb 22 18:37:37 2001",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Kato:1960:EIM,
author = "Tosio Kato",
title = "Estimation of Iterated Matrices, with Application to
the {von Neumann} Condition",
journal = j-NUM-MATH,
volume = "2",
pages = "22--29",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Hull:1960:NME,
author = "T. E. Hull and W. A. J. Luxemburg",
title = "Numerical methods and existence theorems for ordinary
differential equations",
journal = j-NUM-MATH,
volume = "2",
pages = "30--41",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bauer:1960:MCR,
author = "F. L. Bauer and A. S. Householder",
title = "Moments and Characteristic Roots",
journal = j-NUM-MATH,
volume = "2",
pages = "42--53",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
fjournal = "Numerische Mathematik",
keywords = "eig; la; pert",
}
@Article{Bertram:1960:BMA,
author = "G. Bertram",
title = "{Berichtigung zu meinen Arbeit ,,Versch{\"a}rfung
einer Fehlerabsch{\"a}tzung \ldots{} [Num. Math. {\bf
1}, 135--141 (1959)]}. ({German}) [{Correction} to my
Paper ``{Tightening} of an Error Bound \ldots{}'']",
journal = j-NUM-MATH,
volume = "2",
pages = "54--54",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See \cite{Bertram:1959:VFR}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Householder:1960:CIM,
author = "A. S. Householder and F. L. Bauer",
title = "On Certain Iterative Methods for Solving Linear
Systems",
journal = j-NUM-MATH,
volume = "2",
pages = "55--59",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
fjournal = "Numerische Mathematik",
keywords = "iter; linear system; nla",
}
@Article{Lehmann:1960:FRV,
author = "N. J. Lehmann",
title = "{Eine Fehlerabsch{\"a}tzung zum Ritzschen Verfahren
f{\"u}r inhomogene Randwertaufgaben}. ({German}) [{An}
Error Bound for the {Ritz} Method for Inhomogeneous
Boundary Value Problems]",
journal = j-NUM-MATH,
volume = "2",
pages = "60--66",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Causey:1960:CAE,
author = "Robert L. Causey and Peter Henrici",
title = "Convergence of approximate eigenvectors in {Jacobi}
methods",
journal = j-NUM-MATH,
volume = "2",
pages = "67--78",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Borsch-Supan:1960:BFB,
author = "W. B{\"o}rsch-Supan",
title = "{Bemerkungen zur Fehlerabsch{\"a}tzung beim
Ritz--Galerkin-Verfahren nach Krylow}. ({German})
[{Remark} on the Error Bounds of the {Ritz--Galerkin}
Method of {Krylov}]",
journal = j-NUM-MATH,
volume = "2",
pages = "79--83",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Halton:1960:ECQ,
author = "J. H. Halton",
title = "On the efficiency of certain quasi-random sequences of
points in evaluating multi-dimensional integrals",
journal = j-NUM-MATH,
volume = "2",
pages = "84--90",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See correction \cite{Halton:1960:BEC}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Douglas:1960:NMS,
author = "Jim Douglas",
title = "A numerical method for the solution of a parabolic
system",
journal = j-NUM-MATH,
volume = "2",
pages = "91--98",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Veidinger:1960:NDB,
author = "L. Veidinger",
title = "On the numerical determination of the best
approximations in the {Chebyshev} sense",
journal = j-NUM-MATH,
volume = "2",
pages = "99--105",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Naur:1960:RAL,
author = "Peter Naur and J. W. Backus and F. L. Bauer and J.
Green and C. Katz and J. MacCarthy and A. J. Perlis and
H. Rutishauser and K. Samelson and B. Vauquois and J.
H. Wegstein and A. van Wijngaarden and M. Woodger",
title = "Report on the algorithmic language {Algol 60}",
journal = j-NUM-MATH,
volume = "2",
pages = "106--136",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bauer:1960:NET,
author = "F. L. Bauer and C. T. Fike",
title = "Norms and Exclusion Theorems",
journal = j-NUM-MATH,
volume = "2",
pages = "137--141",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/par.lin.alg.bib; Theory/Matrix.bib",
fjournal = "Numerische Mathematik",
keywords = "eig; la; norm; pert",
}
@Article{Maehly:1960:TAKa,
author = "H. Maehly and Ch. Witzgall",
title = "{Tschebyscheff-Approximationen in kleinen Intervallen.
I}. ({German}) [{Chebyshev} Approximations in Small
Intervals. {I}]",
journal = j-NUM-MATH,
volume = "2",
pages = "142--150",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 12:54:13 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Freud:1960:NK,
author = "G. Freud",
title = "Nachtrag bei der {Korrektur}. ({German}) [{Supplement}
with correction]",
journal = j-NUM-MATH,
volume = "2",
number = "1",
pages = "150--150",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:03 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=2&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=2&issue=1&spage=150",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Wynn:1960:UIA,
author = "Peter Wynn",
title = "{{\"U}ber einen Interpolations-Algorithmus und gewisse
andere Formeln, die in der Theorie der Interpolation
durch rationale Funktionen bestehen}. ({German}) [{On}
interpolation algorithms and certain other formulas
existing in the interpolations theory by rational
functions]",
journal = j-NUM-MATH,
volume = "2",
pages = "151--182",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Brakhage:1960:UNB,
author = "H. Brakhage",
title = "{{\"U}ber die numerische Behandlung von
Integralgleichungen nach der Quadraturformelmethode}.
({German}) [{On} the Numerical Treatment of Integral
Equations for the Quadrature Formula Method]",
journal = j-NUM-MATH,
volume = "2",
pages = "183--196",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Halton:1960:BEC,
author = "J. H. Halton",
title = "{Berichtigung: ``On the efficiency of certain
quasi-random sequences of points in evaluating
multi-dimensional integrals'' [Num. Math. {\bf 2},
84--90 (1960)]}. ({German}) [{Correction}]",
journal = j-NUM-MATH,
volume = "2",
pages = "196--196",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See \cite{Halton:1960:ECQ}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German, English",
}
@Article{Clenshaw:1960:MNI,
author = "C. W. Clenshaw and A. R. Curtis",
title = "A method for numerical integration on an automatic
computer",
journal = j-NUM-MATH,
volume = "2",
pages = "197--205",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Esseen:1960:UAB,
author = "C. G. Esseen",
title = "{{\"U}ber die asymptotisch beste Approximation
stetiger Funktionen mit Hilfe von Bernstein-Polynomen}.
({German}) [{On} the Asymptotically Best Approximation
of Continuous Functions with the Aid of {Berstein}
Polynomials]",
journal = j-NUM-MATH,
volume = "2",
pages = "206--213",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Salzer:1960:OPN,
author = "Herbert E. Salzer",
title = "Optimal points for numerical differentiation",
journal = j-NUM-MATH,
volume = "2",
pages = "214--227",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Magnus:1960:ZHF,
author = "Wilhelm Magnus and Leon Kotin",
title = "The zeros of the {Hankel} function as a function of
its order",
journal = j-NUM-MATH,
volume = "2",
pages = "228--244",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Albrecht:1960:ASP,
author = "Rudolf F. Albrecht",
title = "Approximation to the solution of partial
differential-equations by the solution of ordinary
differential-equations",
journal = j-NUM-MATH,
volume = "2",
pages = "245--262",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Rutishauser:1960:BNI,
author = "Heinz Rutishauser",
title = "{Bemerkungen zur numerischen Integration
gew{\"o}hnlicher Differentialgleichungen $n$-ter
Ordnung}. ({German}) [{Remark} on the Numerical
Integration of $n$-th Order Ordinary Differential
Equations]",
journal = j-NUM-MATH,
volume = "2",
pages = "263--279",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Neubuser:1960:UUE,
author = "J. Neub{\"u}ser",
title = "{Untersuchungen des Untergruppenverbandes endlicher
Gruppen auf einer programmgesteuerten elektronischen
Dualmaschine}. ({German}) [{Investigation} of Subroup
Units of Finite Groups with a Programmable Electronic
Dual Machine]",
journal = j-NUM-MATH,
volume = "2",
pages = "280--292",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Maehly:1960:TAKb,
author = "H. Maehly and Ch. Witzgall",
title = "{Tschebyscheff-Approximationen in kleinen Intervallen.
{II}: Stetigkeitss{\"a}tze f{\"u}r gebrochen rationale
Approximationen}. ({German}) [{Chebyshev}
Approximations in Small Intervals. {II}. Stability
Conditions for Broken Rational Approximations]",
journal = j-NUM-MATH,
volume = "2",
pages = "293--307",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 12:54:13 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bauer:1960:SII,
author = "F. L. Bauer and A. S. Householder",
title = "Some inequalities involving the {Euclidean} condition
of a matrix",
journal = j-NUM-MATH,
volume = "2",
pages = "308--311",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Dijkstra:1960:RP,
author = "E. W. Dijkstra",
title = "Recursive programming",
journal = j-NUM-MATH,
volume = "2",
pages = "312--318",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wilkinson:1960:EAF,
author = "J. H. Wilkinson",
title = "Error Analysis of Floating-Point Computation",
journal = j-NUM-MATH,
volume = "2",
pages = "319--340",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Haas:1960:BEA,
author = "Hans-Lothar Haas",
title = "{Bestimmung der Eigenwerte des allgemeinen
Eigenwertproblems}. ({German}) [{Determination} of the
eigenvalues of the general eigenvalue problem]",
journal = j-NUM-MATH,
volume = "2",
number = "1",
pages = "341--343",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:03 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=2&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=2&issue=1&spage=341",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Schopf:1960:KI,
author = "Andreas H. Schopf",
title = "On the {Kantorovich} inequality",
journal = j-NUM-MATH,
volume = "2",
number = "1",
pages = "344--346",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:03 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=2&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=2&issue=1&spage=344",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Cohn:1960:NSW,
author = "Harvey Cohn",
title = "A numerical study of {Weber}'s real class number
calculation. {Part I}",
journal = j-NUM-MATH,
volume = "2",
number = "1",
pages = "347--362",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:03 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=2&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=2&issue=1&spage=347",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lehmann:1961:INR,
author = "N. J. Lehmann",
title = "{Das inhomogene nat{\"u}rliche Randwertproblem und
Fehlerabsch{\"a}tzungen f{\"u}r
N{\"a}herungsl{\"o}sungen}. ({German}) [{The}
Inhomogeneous Natural Boundary Value Problem and Error
Bounds for Approximate Solution]",
journal = j-NUM-MATH,
volume = "3",
pages = "1--29",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Schafke:1961:VBC,
author = "Friedrich Wilhelm Sch{\"a}fke",
title = "{Ein Verfahren zur Berechnung des charakteristischen
Exponenten der Mathieuschen Differentialgleichung. I}.
({German}) [{A} Method for Calculation of
Characteristic Exponents of the {Mathiew} Differential
Equation. {I}]",
journal = j-NUM-MATH,
volume = "3",
pages = "30--38",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Schroder:1961:FRG,
author = "Johann Schr{\"o}der",
title = "{Fehlerabsch{\"a}tzung mit Rechenanlagen bei
gew{\"o}nlichen Differentialgleichungen erster
Ordnung}. ({German}) [{Computational} error bounds for
first-order ordinary differential equations]",
journal = j-NUM-MATH,
volume = "3",
pages = "39--61",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:44:54 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Schonhage:1961:FIG,
author = "A. Sch{\"o}nhage",
title = "{Fehlerfortpflanzung bei Interpolation}. ({German})
[{Error} Transmission in Interpolation]",
journal = j-NUM-MATH,
volume = "3",
pages = "62--71",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Cheney:1961:TNA,
author = "E. W. Cheney and H. L. Loeb",
title = "Two new algorithms for rational approximation",
journal = j-NUM-MATH,
volume = "3",
pages = "72--75",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Luke:1961:RUF,
author = "Yudell L. Luke",
title = "The radius of univalence of the function exp $z^2
\int_0^z$ exp $(-t^2) dt$",
journal = j-NUM-MATH,
volume = "3",
pages = "76--78",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Karst:1961:FMZ,
author = "E. Karst",
title = "{Faktorenzerlegung Mersennescher Zahlen mittels
programmgesteuerter Rechenger{\"a}te}. ({German})
[{Factorization} of {Mersenne} Numbers with
Programmable Computers]",
journal = j-NUM-MATH,
volume = "3",
pages = "79--86",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Kjellberg:1961:SRM,
author = "G{\"o}ran Kjellberg",
title = "On the successive over-relaxation method for cyclic
operators",
journal = j-NUM-MATH,
volume = "3",
pages = "87--91",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Douglas:1961:ADI,
author = "J. {Douglas, Jr.}",
title = "Alternating direction iteration for mildly nonlinear
elliptic difference equations",
journal = j-NUM-MATH,
volume = "3",
pages = "92--98",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See correction \cite{Douglas:1962:CMP}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Collatz:1961:MEB,
author = "Lothar Collatz",
title = "{Monotonie und Extremalprinzipien beim Newtonschen
Verfahren}. ({German}) [{Monotonicty} and Extremal
Principles of {Newton} Methods]",
journal = j-NUM-MATH,
volume = "3",
pages = "99--106",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Sikkema:1961:WEK,
author = "P. C. Sikkema",
title = "{Der Wert einiger Konstanten in der Theorie der
Approximation mit Bernstein-Polynomen.}. ({German})
[{The} Value of Some Constants in the Approximation
Theory for {Bernstein} Polynomials]",
journal = j-NUM-MATH,
volume = "3",
pages = "107--116",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bauer:1961:FGK,
author = "F. L. Bauer",
title = "A further generalization of the {Kantorovic}
inequality",
journal = j-NUM-MATH,
volume = "3",
pages = "117--119",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 16:10:24 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Salzer:1961:SEB,
author = "Herbert E. Salzer",
title = "Some extensions of {Bairstow}'s method",
journal = j-NUM-MATH,
volume = "3",
pages = "120--124",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schroder:1961:VFG,
author = "Johann Schr{\"o}der",
title = "{Verbesserung einer Fehlerabsch{\"a}tzung f{\"u}r
gew{\"o}hnliche Differentialgleichungen erster
Ordnung}. ({German}) [{Improvement} of error bounds for
first-order ordinary differential equations]",
journal = j-NUM-MATH,
volume = "3",
pages = "125--130",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:45:02 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Albrecht:1961:DNL,
author = "Rudolf Albrecht and Wolfram Ulrich",
title = "{Ein Differenzenverfahren zur n{\"a}herungsweisen
L{\"o}sung des Anfangswertproblems f{\"u}r Systeme
halblinearer partieller Differentialgleichungen. 1.
Ordnung}. ({German}) [{A} Difference Equation for
Approximate Solution of Initial Value Problems for
Half-Linear Partial Differential Equations. 1.
{Order}]",
journal = j-NUM-MATH,
volume = "3",
pages = "131--146",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Golub:1961:CSIa,
author = "Gene H. Golub and Richard S. Varga",
title = "{Chebyshev} Semi-Iterative Methods, Successive
Overrelaxation Iterative Methods, and Second Order
{Richardson} Iterative Methods. {I}",
journal = j-NUM-MATH,
volume = "3",
pages = "147--156",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "65.35",
MRnumber = "26\#3207",
MRreviewer = "J. R. Cannon",
bibdate = "Sun Oct 17 12:54:13 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/tex/bib/gvl.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "iter; nla; relaxation; Richardson's method;
semi-iterative method",
}
@Article{Golub:1961:CSIb,
author = "Gene H. Golub and Richard S. Varga",
title = "{Chebyshev} Semi-Iterative Methods, Successive
Overrelaxation Iterative Methods, and Second Order
{Richardson} Iterative Methods. {II}",
journal = j-NUM-MATH,
volume = "3",
pages = "157--168",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "65.35",
MRnumber = "26\#3208",
MRreviewer = "J. R. Cannon",
bibdate = "Sun Oct 17 12:54:13 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/tex/bib/gvl.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "iter; nla; relaxation; Richardson's method;
semi-iterative method",
}
@Article{Hsu:1961:NNI,
author = "L. C. Hsu",
title = "Note on the numerical integration of periodic
functions and of partially periodic functions",
journal = j-NUM-MATH,
volume = "3",
pages = "169--173",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Brakhage:1961:FNE,
author = "H. Brakhage",
title = "{Zur Fehlerabsch{\"a}tzung f{\"u}r die numerische
Eigenwertbestimmung bei Integralgleichungen}.
({German}) [{Toward} Error Bounds for Numerical
Eigenvalue Determination in Integral Equations]",
journal = j-NUM-MATH,
volume = "3",
pages = "174--179",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Descloux:1961:DAT,
author = "J. Descloux",
title = "{D}{\'e}g{\'e}n{\'e}rescence dans les approximations
de {Tschebyscheff} lin{\'e}aires et discr{\`e}tes.
({French}) [{Degeneration} in Linear and Discrete
{Chebyshev} Approximations]",
journal = j-NUM-MATH,
volume = "3",
pages = "180--187",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "French",
}
@Article{Albrecht:1961:FRN,
author = "J. Albrecht",
title = "{Fehlerabsch{\"a}tzungen bei Relaxationsverfahren zur
numerischen Aufl{\"o}sung linearer Gleichungssysteme}.
({German}) [{Error} Bounds for the Relaxation Method
for Numerical Solution of Linear Equation Systems]",
journal = j-NUM-MATH,
volume = "3",
pages = "188--201",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Blum:1961:SPE,
author = "M. Blum",
title = "A stagewise parameter estimation procedure for
correlated data",
journal = j-NUM-MATH,
volume = "3",
pages = "202--208",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bergman:1961:AMK,
author = "Stefan Bergman and John G. Herriot",
title = "Application of the method of the kernel function for
solving boundary- value problems",
journal = j-NUM-MATH,
volume = "3",
pages = "209--225",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lauchli:1961:JEA,
author = "Peter L{\"a}uchli",
title = "{Jordan-Elimination und Ausgleichung nach kleinsten
Quadraten}. ({German}) [{Jordan} elimination and
balancing using least squares]",
journal = j-NUM-MATH,
volume = "3",
pages = "226--240",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Feb 13 07:28:41 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bauer:1961:ANC,
author = "F. L. Bauer and A. S. Householder",
title = "Absolute norms and characteristic roots",
journal = j-NUM-MATH,
volume = "3",
pages = "241--246",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Fisser:1961:STA,
author = "H. Fisser",
title = "Some tests applied to pseudo-random numbers generated
by {v. H{\"o}rner}'s rule",
journal = j-NUM-MATH,
volume = "3",
pages = "247--249",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Felsch:1961:PRG,
author = "H. Felsch",
title = "{Programmierung der Restklassenabz{\"a}hlung einer
Gruppe nach Untergruppen}. ({German}) [{Programming} of
Residue Classes of a Group via its Subgroups]",
journal = j-NUM-MATH,
volume = "3",
pages = "250--256",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bauer:1961:AMN,
author = "F. L. Bauer and J. Stoer and C. Witzgall",
title = "Absolute and Monotonic Norms",
journal = j-NUM-MATH,
volume = "3",
pages = "257--264",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Liniger:1961:MDH,
author = "Werner Liniger",
title = "On a Method by {D. H. Lehmer} for the Generation of
Pseudo Random Numbers",
journal = j-NUM-MATH,
volume = "3",
pages = "265--270",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:29:06 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Neubuser:1961:BUE,
author = "J. Neub{\"u}ser",
title = "{Bestimmung der Untergruppenverb{\"a}nde endlicher
$p$-Gruppen auf einer programmgesteuerten
elektronischen Dualmaschine}. ({German})
[{Determination} of subgroups of finite $p$-groups on a
program-controlled electronic {Dual} machine]",
journal = j-NUM-MATH,
volume = "3",
number = "1",
pages = "271--278",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:06 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=271",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Chakravarti:1961:TEI,
author = "P. C. Chakravarti",
title = "Truncation error in interpolation and numerical
differentiation",
journal = j-NUM-MATH,
volume = "3",
number = "1",
pages = "279--284",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:06 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=279",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stoer:1961:ZAI,
author = "Josef Stoer",
title = "{{\"U}ber zwei Algorithmen zur Interpolation mit
rationalen Funktionen}. ({German}) [{On} two algorithms
for interpolation with rational functions]",
journal = j-NUM-MATH,
volume = "3",
number = "1",
pages = "285--304",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:06 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=285",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Parter:1961:SLI,
author = "Seymour V. Parter",
title = "``Multi-line'' iterative methods for elliptic
difference equations and fundamental frequencies",
journal = j-NUM-MATH,
volume = "3",
number = "1",
pages = "305--319",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:06 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=305",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Salzer:1961:SEBb,
author = "Herbert E. Salzer and R. Zurm{\"u}hl",
title = "Some extensions of {Bairstow}'s method",
journal = j-NUM-MATH,
volume = "3",
number = "1",
pages = "320--320",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:06 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=320",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stetter:1961:CCF,
author = "Hans J. Stetter",
title = "On the convergence of characteristic finite-difference
methods of high accuracy for quasi-linear hyperbolic
equations",
journal = j-NUM-MATH,
volume = "3",
number = "1",
pages = "321--344",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:06 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=321",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Albrecht:1961:MII,
author = "J. Albrecht",
title = "{Monotone Iterationsfolgen und ihre Verwendung zur
L{\"o}sung linearer Gleichungssysteme}. ({German})
[Monotonic iteration sequences and their use in solving
sets of linear equations]",
journal = j-NUM-MATH,
volume = "3",
number = "1",
pages = "345--358",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:06 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=345",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Wilson:1961:DDP,
author = "Walter L. Wilson",
title = "On discrete {Dirichlet} and plateau problems",
journal = j-NUM-MATH,
volume = "3",
number = "1",
pages = "359--373",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:06 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=359",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schonhage:1961:KJV,
author = "A. Sch{\"o}nhage",
title = "{Zur Konvergenz des Jacobi--Verfahrens}. ({German})
[{On} the convergence of the {Jacobi} method]",
journal = j-NUM-MATH,
volume = "3",
number = "1",
pages = "374--380",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:06 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=374",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Gautschi:1961:NIO,
author = "Walter Gautschi",
title = "Numerical integration of ordinary differential
equations based on trigonometric polynomials",
journal = j-NUM-MATH,
volume = "3",
number = "1",
pages = "381--397",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:06 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=381",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lees:1961:ADS,
author = "Milton Lees",
title = "Alternating direction and semi-explicit difference
methods for parabolic partial differential equations",
journal = j-NUM-MATH,
volume = "3",
number = "1",
pages = "398--412",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:06 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=398",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schafke:1962:VBC,
author = "Friedrich Wilhelm Sch{\"a}fke and Rudolf Ebert and
Helmut Groh",
title = "{Ein Verfahren zur Berechnung des charakteristischen
Exponenten der Mathieuschen Differentialgleichung. II}.
({German}) [{A} Method for Calculation of
Characteristic Exponents of the {Mathiew} Differential
Equation. {II}]",
journal = j-NUM-MATH,
volume = "4",
pages = "1--7",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Wynn:1962:CTN,
author = "P. Wynn",
title = "A comparison technique for the numerical
transformation of slowly convergent series based on the
use of rational functions",
journal = j-NUM-MATH,
volume = "4",
pages = "8--14",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schneider:1962:CTS,
author = "Hans Schneider and W. Gilbert Strang",
title = "Comparison Theorems for Supremum Norms",
journal = j-NUM-MATH,
volume = "4",
pages = "15--20",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Treuenfels:1962:SLR,
author = "P. Treuenfels",
title = "{Schranken f{\"u}r L{\"o}sungen von Randwertaufgaben}.
({German}) [{Bounds} for Solution of Boundary Value
Problems]",
journal = j-NUM-MATH,
volume = "4",
pages = "21--23",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Henrici:1962:BII,
author = "Peter Henrici",
title = "Bounds for Iterates, Inverses, Spectral Variation and
Fields of Values of Non-Normal Matrices",
journal = j-NUM-MATH,
volume = "4",
pages = "24--39",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
fjournal = "Numerische Mathematik",
keywords = "eig; field of values; inverse matrix; la; nonnormal
matrix; pert",
}
@Article{Douglas:1962:ADM,
author = "Jim {Douglas, Jr.}",
title = "Alternating direction methods for three space
variables",
journal = j-NUM-MATH,
volume = "4",
pages = "41--63",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schafke:1962:BEM,
author = "F. W. Sch{\"a}fke and H. Groh",
title = "{Zur Berechnung der Eigenwerte der Mathieuschen
Differentialgleichung}. ({German}) [{Toward}
Computation of Eigenvalues of the {Mathieu}
Differential Equation]",
journal = j-NUM-MATH,
volume = "4",
pages = "64--67",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Richtmyer:1962:CFE,
author = "R. D. Richtmyer and Marjorie Devaney and N.
Metropolis",
title = "Continued fraction expansions of algebraic numbers",
journal = j-NUM-MATH,
volume = "4",
pages = "68--84",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Frank:1962:CFEa,
author = "E. Frank",
title = "On continued fraction expansions for binomial
quadratic surds",
journal = j-NUM-MATH,
volume = "4",
pages = "85--95",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Douglas:1962:NMI,
author = "J. {Douglas, Jr.} and B. F. {Jones, Jr.}",
title = "Numerical methods for integrodifferential equations of
parabolic and hyperbolic types",
journal = j-NUM-MATH,
volume = "4",
pages = "96--102",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bauer:1962:FVS,
author = "F. L. Bauer",
title = "On the field of values subordinate to a norm",
journal = j-NUM-MATH,
volume = "4",
pages = "103--113",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stone:1962:BPR,
author = "Betty Jane Stone",
title = "Best Possible Ratios of Certain Matrix Norms",
journal = j-NUM-MATH,
volume = "4",
pages = "114--116",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 19 15:23:15 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Gautschi:1962:IVC,
author = "Walter Gautschi",
title = "On Inverses of {Vandermonde} and Confluent
{Vandermonde} Matrices",
journal = j-NUM-MATH,
volume = "4",
pages = "117--123",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Cheney:1962:RCA,
author = "E. W. Cheney and H. L. Loeb",
title = "On rational {Chebyshev} approximation",
journal = j-NUM-MATH,
volume = "4",
pages = "124--127",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Harary:1962:GTA,
author = "Frank Harary",
title = "A graph theoretic approach to matrix inversion by
partitioning",
journal = j-NUM-MATH,
volume = "4",
pages = "128--135",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Morimoto:1962:SWE,
author = "Hirofumi Morimoto",
title = "Stability in the wave equation coupled with heat
flow",
journal = j-NUM-MATH,
volume = "4",
pages = "136--145",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Goldstein:1962:CMM,
author = "A. A. Goldstein",
title = "{Cauchy}'s method of minimization",
journal = j-NUM-MATH,
volume = "4",
pages = "146--150",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lindenberg:1962:UDG,
author = "Wolfgang Lindenberg",
title = "{{\"U}ber eine Darstellung von Gruppenelementen in
digitalen Rechenautomaten}. ({German}) [{On} a
representation of group elements in computers]",
journal = j-NUM-MATH,
volume = "4",
pages = "151--153",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Werner:1962:SDT,
author = "Helmut Werner",
title = "{Ein Satz {\"u}ber diskete Tschebyscheff-Approximation
bei gebrochen linearer Funktionen}. ({German}) [{A}
proposition on the discrete {Chebyshev} approximation
of broken linear functions]",
journal = j-NUM-MATH,
volume = "4",
pages = "154--157",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:45:51 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Stoer:1962:TDM,
author = "J. Stoer and C. Witzgall",
title = "Transformations by Diagonal Matrices in a Normed
Space",
journal = j-NUM-MATH,
volume = "4",
pages = "158--171",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/par.lin.alg.bib",
fjournal = "Numerische Mathematik",
}
@Article{Pearcy:1962:CAD,
author = "C. Pearcy",
title = "On convergence of alternating direction procedures",
journal = j-NUM-MATH,
volume = "4",
pages = "172--176",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Buck:1962:SA,
author = "R. C. Buck",
title = "Stochastic ascent",
journal = j-NUM-MATH,
volume = "4",
pages = "177--186",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Greenstadt:1962:SNE,
author = "John Greenstadt",
title = "Some numerical experiments in triangularizing
matrices",
journal = j-NUM-MATH,
volume = "4",
pages = "187--195",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Albrecht:1962:FKM,
author = "Julius Albrecht",
title = "{Fehlerschranken und Konvergenzbeschleunigung bei
einer monotonen oder alternierenden Iterationsfolge}.
({German}) [{Error} Bounds and Convergence Acceleration
with a Monotone or Alternating Iteration Sequence]",
journal = j-NUM-MATH,
volume = "4",
pages = "196--208",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Chow:1962:SLE,
author = "Tse-Sun Chow and Harold W. Milnes",
title = "Solution of {Laplace}'s equation by boundary
contraction over regions of irregular shape",
journal = j-NUM-MATH,
volume = "4",
pages = "209--225",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Uhlmann:1962:UFD,
author = "W. Uhlmann",
title = "{{\"U}ber den Fehler bei Differenzenverfahren f{\"u}r
die Poissonsche Differentialgleichung}. ({German})
[{On} the Bound of Difference Method for {Poisson}
Differential Equation]",
journal = j-NUM-MATH,
volume = "4",
pages = "226--237",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Benders:1962:PPS,
author = "J. F. Benders",
title = "Partitioning procedures for solving mixed-variables
programming problems",
journal = j-NUM-MATH,
volume = "4",
pages = "238--252",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Albrecht:1962:NTI,
author = "R. F. Albrecht and W. Urich",
title = "Numerical treatment of the initial value problem for
systems of quasilinear partial differential equations
of first order",
journal = j-NUM-MATH,
volume = "4",
pages = "253--261",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Nitsche:1962:ATA,
author = "Johannes C. C. Nitsche",
title = "{{\"U}ber die Abh{\"a}ngigkeit der Tschebyscheffschen
Approximierenden einer differenzierbaren Funktion vom
Intervall}. ({German}) [{On} the relation of
{Chebyshev} approximations for a differentiable
interval function]",
journal = j-NUM-MATH,
volume = "4",
pages = "262--276",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:46:19 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Parter:1962:SCP,
author = "Seymour V. Parter",
title = "Stability, convergence, and pseudo-stability of
finite-difference equations for an over-determined
problem",
journal = j-NUM-MATH,
volume = "4",
pages = "277--292",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Parter:1962:ONS,
author = "Seymour V. Parter",
title = "An observation on the numerical solution of difference
equations and a theorem of {Szeg{\"o}}",
journal = j-NUM-MATH,
volume = "4",
pages = "293--295",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wilkinson:1962:NQC,
author = "J. H. Wilkinson",
title = "Note on the quadratic convergence of the cyclic
{Jacobi} process",
journal = j-NUM-MATH,
volume = "4",
pages = "296--300",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Douglas:1962:CMP,
author = "Jim {Douglas, Jr.}",
title = "A correction to my paper {``Alternating direction
iteration for mildly nonlinear elliptic difference
equations''}",
journal = j-NUM-MATH,
volume = "4",
pages = "301--302",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See \cite{Douglas:1961:ADI}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Frank:1962:CFEb,
author = "Evelyn Frank",
title = "On continued fraction expansion for binomial quadratic
surds. {II}",
journal = j-NUM-MATH,
volume = "4",
pages = "303--309",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schafke:1962:BES,
author = "Friedrich Wilhelm Sch{\"a}fke and Helmut Groh",
title = "{Zur Berechnung der Eigenwerte der
Sph{\"a}roiddifferentialgleichung}. ({German}) [{On}
the Calculation of the Eigenvalues of the Spheroidal
Differential Equation]",
journal = j-NUM-MATH,
volume = "4",
pages = "310--312",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bramble:1962:FFD,
author = "J. H. Bramble and B. E. Hubbard",
title = "On the formulation of finite difference analogues of
the {Dirichlet} problem for {Poisson}'s equation",
journal = j-NUM-MATH,
volume = "4",
pages = "313--327",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wilson:1962:MSS,
author = "Walter L. {Wilson, Jr.}",
title = "$d$-minimal surfaces spanning polygons in {$E_n$} by
solving a linear system",
journal = j-NUM-MATH,
volume = "4",
pages = "328--329",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Hsu:1962:NIN,
author = "L. C. Hsu",
title = "On the numerical integration of non-periodic functions
of several variables",
journal = j-NUM-MATH,
volume = "4",
pages = "330--335",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Brenner:1962:PSI,
author = "C. Brenner and J. L. Brenner",
title = "The popularity of small integers as primitive roots",
journal = j-NUM-MATH,
volume = "4",
pages = "336--342",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Davis:1962:NSP,
author = "Chandler Davis",
title = "The norm of the {Schur} product operation",
journal = j-NUM-MATH,
volume = "4",
pages = "343--344",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Rivlin:1962:PBU,
author = "T. J. Rivlin",
title = "Polynomials of best uniform approximation to certain
rational functions",
journal = j-NUM-MATH,
volume = "4",
pages = "345--349",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Marcus:1962:ICC,
author = "Marvin Marcus",
title = "An inequality connecting the {$P$}-condition number
and the determinant",
journal = j-NUM-MATH,
volume = "4",
pages = "350--353",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wilkinson:1962:HMS,
author = "J. H. Wilkinson",
title = "{Householder}'s method for symmetric matrices",
journal = j-NUM-MATH,
volume = "4",
pages = "354--361",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
series = "Handbook Series Linear Algebra",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wilkinson:1962:CESa,
author = "J. H. Wilkinson",
title = "Calculation of the eigenvalues of a symmetric
tridiagonal matrix by the method of bisection",
journal = j-NUM-MATH,
volume = "4",
pages = "362--367",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
series = "Handbook Series Linear Algebra",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wilkinson:1962:CESb,
author = "J. H. Wilkinson",
title = "Calculation of the eigenvectors of a symmetric
tridiagonal matrix by inverse iteration",
journal = j-NUM-MATH,
volume = "4",
pages = "368--376",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
series = "Handbook Series Linear Algebra",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Zurmuhl:1963:BVH,
author = "R. Zurm{\"u}hl",
title = "{Bemerkungen zum Verfahren von Hessenberg}. ({German})
[{Remark} on a Method of {Hessenberg}]",
journal = j-NUM-MATH,
volume = "4",
pages = "377--380",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Salzer:1963:EWF,
author = "Herbert E. Salzer",
title = "Equally-weighted formulas for numerical
differentiation",
journal = j-NUM-MATH,
volume = "4",
pages = "381--392",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wohlfahrt:1963:UBP,
author = "Klaus Wohlfahrt",
title = "{{\"U}ber die Berechnung der Periodenverh{\"a}ltnisse
elliptischer Gebilde}. ({German}) [{On} the Calculation
of the Relationship of the Periods of Elliptic
Structures]",
journal = j-NUM-MATH,
volume = "4",
pages = "393--397",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Nagler:1963:PST,
author = "H. Nagler",
title = "On a property of simplex tableaux in the
transportation problem",
journal = j-NUM-MATH,
volume = "4",
pages = "398--402",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Clenshaw:1963:HSS,
author = "C. W. Clenshaw and G. F. Miller and M. Woodger",
title = "Algorithms for special functions. {I}",
journal = j-NUM-MATH,
volume = "4",
pages = "403--419",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
series = "Handbook Series Special functions",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Backus:1963:RRA,
author = "J. W. Backus and F. L. Bauer and J. Green and C. Katz
and J. McCarthy and P. Naur and A. J. Perlis and H.
Rutishauser and K. Samelson and B. Vauquois and J. H.
Wegstein and A. van Wijngaarden and M. Woodger",
title = "Revised report on the algorithmic language {ALGOL}
60",
journal = j-NUM-MATH,
volume = "4",
pages = "420--453",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "Edited by Peter Naur. Dedicated to the memory of
William Turanski.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Neubauer:1963:EUM,
author = "Gerhard Neubauer",
title = "{Eine empirische Untersuchung zur Mertensschen
Funktion}. ({German}) [{An} Empirical Investigation of
the {Merten} Function]",
journal = j-NUM-MATH,
volume = "5",
pages = "1--13",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Meinardus:1963:UVU,
author = "G{\"u}nter Meinardus",
title = "{{\"U}ber eine Verallgemeinerung einer Ungleichung von
L. V. Kantorowitsch}. ({German}) [{On} a Generalization
of an Inequation of {L. V. Kantorowitsch}]",
journal = j-NUM-MATH,
volume = "5",
pages = "14--23",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Kreiss:1963:UID,
author = "Heinz-Otto Kreiss",
title = "{{\"U}ber implizite Differenzmethoden f{\"u}r
partielle Differentialgleichungen}. ({German}) [{On}
Implicit Difference Methods for Partial Differential
Equations]",
journal = j-NUM-MATH,
volume = "5",
pages = "24--47",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Rutishauser:1963:ARP,
author = "H. Rutishauser",
title = "{Ausdehnung des Rombergschen Prinzips}. ({German})
[{Extension} of the {Romberg} Principle]",
journal = j-NUM-MATH,
volume = "5",
pages = "48--54",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Sauer:1963:DHA,
author = "Robert Sauer",
title = "{Differenzenverfahren f{\"u}r hyperbolische
Anfangswertprobleme bei mehr als zwei unabh{\"a}ngigen
Ver{\"a}nderlichen mit Hilfe von
Nebencharakteristiken}. ({German}) [{Difference} Method
for Hyperbolic Initial Value Problems in More than Two
Independent Variables with the Aid of Secondary
Characteristics]",
journal = j-NUM-MATH,
volume = "5",
pages = "55--67",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Aumann:1963:UVL,
author = "Georg Aumann",
title = "{{\"U}ber den Vergleichsfaktor bei linearen
Approximationsproblemen}. ({German}) [{On} the
Comparison Factor for Linear Approximation Problems]",
journal = j-NUM-MATH,
volume = "5",
pages = "68--72",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bauer:1963:OSM,
author = "F. L. Bauer",
title = "Optimally Scaled Matrices",
journal = j-NUM-MATH,
volume = "5",
pages = "73--87",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/par.lin.alg.bib",
fjournal = "Numerische Mathematik",
}
@Article{Struble:1963:OPV,
author = "George W. Struble",
title = "Orthogonal polynomials: Variable-signed weight
functions",
journal = j-NUM-MATH,
volume = "5",
pages = "88--94",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Rutishauser:1963:SSQ,
author = "Heinz Rutishauser",
title = "{Stabile Sonderf{\"a}lle des
Quotienten-Differenzen-Algorithmus}. ({German})
[{Stable} Special Cases of the Quotient-Difference
Algorithm]",
journal = j-NUM-MATH,
volume = "5",
pages = "95--112",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Frank:1963:CEB,
author = "Evelyn Frank",
title = "On continued expansions for binomial quadratic surds.
{III}",
journal = j-NUM-MATH,
volume = "5",
pages = "113--117",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Aronson:1963:SCF,
author = "D. G. Aronson",
title = "On the stability of certain finite difference
approximations to parabolic systems of differential
equations",
journal = j-NUM-MATH,
volume = "5",
pages = "118--137",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See correction \cite{Aronson:1963:CPS}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Imhof:1963:MNI,
author = "J. P. Imhof",
title = "On the method for numerical integration of {Clenshaw}
and {Curtis}",
journal = j-NUM-MATH,
volume = "5",
pages = "138--141",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Gastinel:1963:DNG,
author = "N. Gastinel",
title = "Sur-decomposition de normes g{\'e}n{\'e}rales et
proc{\'e}d{\'e}s iteratifs. ({French}) [{Super}
Decomposition of Generalized Norms and Iterative
Procedures]",
journal = j-NUM-MATH,
volume = "5",
pages = "142--151",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "French",
}
@Article{Lynn:1963:SIM,
author = "M. Stuart Lynn",
title = "Some infra-max bounds for the spectral radii of
splittings of ${H}$-matrices",
journal = j-NUM-MATH,
volume = "5",
pages = "152--174",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Douglas:1963:CAD,
author = "J. {Douglas, Jr.} and C. M. Pearcy",
title = "On convergence of alternating direction procedures in
the presence of singular operators",
journal = j-NUM-MATH,
volume = "5",
pages = "175--184",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Descloux:1963:BSN,
author = "Jean Descloux",
title = "Bounds for the spectral norm of functions of
matrices",
journal = j-NUM-MATH,
volume = "5",
pages = "185--190",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed May 28 21:44:06 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
mynote = "f(triangular)",
}
@Article{Ginsburg:1963:CGM,
author = "Theo Ginsburg",
title = "The conjugate gradient method",
journal = j-NUM-MATH,
volume = "5",
pages = "191--200",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Seidman:1963:SCD,
author = "Thomas I. Seidman",
title = "On the stability of certain difference schemes",
journal = j-NUM-MATH,
volume = "5",
pages = "201--210",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Ortega:1963:EAH,
author = "James M. Ortega",
title = "An Error Analysis of {Householder}'s Method for the
Symmetric Eigenvalue Problem",
journal = j-NUM-MATH,
volume = "5",
pages = "211--225",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Fri Nov 25 09:10:08 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Haemmerlin:1963:UAS,
author = "G{\"u}nther Haemmerlin",
title = "{{\"U}ber ableitungsfreie Schranken f{\"u}r
Quadraturfehler}. ({German}) [{On} Derivative-Free
Bounds for Quadrature Error]",
journal = j-NUM-MATH,
volume = "5",
pages = "226--233",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Householder:1963:SVI,
author = "A. S. Householder and John A. Carpenter",
title = "The singular values of involutory and of idempotent
matrices",
journal = j-NUM-MATH,
volume = "5",
pages = "234--237",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Weinstein:1963:SLT,
author = "Alexander Weinstein",
title = "On the {Sturm--Liouville} theory and the eigenvalues
of intermediate problems",
journal = j-NUM-MATH,
volume = "5",
pages = "238--245",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lehmann:1963:OE,
author = "N. J. Lehmann",
title = "{Optimale Eigenwerteinschliessungen}. ({German})
[{Optimal} Eigenvalue Inclusion]",
journal = j-NUM-MATH,
volume = "5",
pages = "246--272",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Rutishauser:1963:TMS,
author = "H. Rutishauser and H. R. Schwarz",
title = "The {$LR$} transformation method for symmetric
matrices",
journal = j-NUM-MATH,
volume = "5",
pages = "273--289",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Aronson:1963:CPS,
author = "D. G. Aronson",
title = "A Correction to the Paper {``On the stability of
certain finite difference approximations to parabolic
systems of differential equations'' [Num. Math. {\bf
5}, 118--137 (1963)]}",
journal = j-NUM-MATH,
volume = "5",
pages = "290--290",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See \cite{Aronson:1963:SCF}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Hofsommer:1963:NCE,
author = "D. J. Hofsommer and R. van de Riet",
title = "On the numerical calculation of elliptic integrals of
the first and second kind and the elliptic functions of
{Jacobi}",
journal = j-NUM-MATH,
volume = "5",
pages = "291--302",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schonhage:1963:OPD,
author = "A. Sch{\"o}nhage",
title = "{Optimale Punkte f{\"u}r Differentiation und
Integration}. ({German}) [{Optimal} Points for
Differentiation and Integration]",
journal = j-NUM-MATH,
volume = "5",
pages = "303--331",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Wynn:1963:NCF,
author = "P. Wynn",
title = "Note on a converging factor for a certain continued
fraction",
journal = j-NUM-MATH,
volume = "5",
pages = "332--352",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Tornig:1963:DRN,
author = "Willi T{\"o}rnig",
title = "{{\"U}ber Differenzverfahren in Rechteckgittern zur
numerischen L{\"o}sung quasilinearer hyperbolischer
Differentialgleichungen}. ({German}) [{On} the
Difference Method in Rectangular Grid for the Numerical
Solution of Quasilinear Hyperbolic Differential
Equations]",
journal = j-NUM-MATH,
volume = "5",
pages = "353--370",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Stoer:1963:DNP,
author = "J. Stoer",
title = "Duality in nonlinear programming and the minimax
theorem",
journal = j-NUM-MATH,
volume = "5",
pages = "371--379",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Borsch-Supan:1963:PEB,
author = "W. B{\"o}rsch-Supan",
title = "A Posteriori Error Bounds for the Zeros of
Polynomials",
journal = j-NUM-MATH,
volume = "5",
pages = "380--398",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stetter:1963:MBS,
author = "Hans J. Stetter",
title = "Maximum bounds for the solutions of initial value
problems for partial difference equations",
journal = j-NUM-MATH,
volume = "5",
pages = "399--424",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Gautschi:1963:IVC,
author = "Walter Gautschi",
title = "On Inverses of {Vandermonde} and Confluent
{Vandermonde} Matrices. {II}",
journal = j-NUM-MATH,
volume = "5",
pages = "425--430",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Goldstein:1963:SRA,
author = "A. A. Goldstein",
title = "On the stability of rational approximation",
journal = j-NUM-MATH,
volume = "5",
number = "1",
pages = "431--438",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:13 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=5&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=5&issue=1&spage=431",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Kranzer:1963:EFN,
author = "H. C. Kranzer",
title = "An error formula for numerical differentiation",
journal = j-NUM-MATH,
volume = "5",
number = "1",
pages = "439--442",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:13 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=5&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=5&issue=1&spage=439",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Ansorge:1963:AVC,
author = "R. Ansorge",
title = "{Die Adams--Verfahren als Charakteristikenverfahren
h{\"o}herer Ordnung zur L{\"o}sung von hyperbolischen
Systemen halblinearer Differentialgleichungen}.
({German}) [The {Adams} method for characteristic
procedures of higher order for the solution of
hyperbolic systems of half-linear differential
equations]",
journal = j-NUM-MATH,
volume = "5",
number = "1",
pages = "443--460",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Dec 21 16:41:13 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=5&issue=1;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=5&issue=1&spage=443",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Zurmuhl:1964:AGT,
author = "R. Zurm{\"u}hl",
title = "{Zur angen{\"a}herten ganzrationalen
Tschebyscheff-Approximation mit Hilfe trigonometrischer
Interpolation}. ({German}) [{Toward} Approximate Fairly
Rational {Chebyshev} Approximation with the Aid of
Trigonometric Interpolation]",
journal = j-NUM-MATH,
volume = "6",
pages = "1--5",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bulirsch:1964:BRI,
author = "R. Bulirsch",
title = "{Bemerkungen zur Romberg-Integration}. ({German})
[{Remark} on {Romberg} Integration]",
journal = j-NUM-MATH,
volume = "6",
pages = "6--16",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Eve:1964:EP,
author = "J. Eve",
title = "The evaluation of polynomials",
journal = j-NUM-MATH,
volume = "6",
pages = "17--21",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wynn:1964:GPV,
author = "P. Wynn",
title = "General purpose vector epsilon algorithm {ALGOL}
procedures",
journal = j-NUM-MATH,
volume = "6",
pages = "22--36",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Strang:1964:APD,
author = "G. Strang",
title = "Accurate partial difference methods. {II}: Non-linear
problems",
journal = j-NUM-MATH,
volume = "6",
pages = "37--46",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Goldstein:1964:MPM,
author = "A. A. Goldstein and R. B. Kripke",
title = "Mathematical Programming by Minimizing Differentiable
Functions",
journal = j-NUM-MATH,
volume = "6",
pages = "47--48",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bennett:1964:IEM,
author = "J. H. Bennett",
title = "Integral equation methods for transport problems. Some
numerical results",
journal = j-NUM-MATH,
volume = "6",
pages = "49--54",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stoer:1964:UDN,
author = "J. Stoer",
title = "{{\"U}ber einen Dualit{\"a}tssatz der nichtlinearen
Programmierung}. ({German}) [{On} a duality theorem of
nonlinear programming]",
journal = j-NUM-MATH,
volume = "6",
pages = "55--58",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Feb 22 18:39:10 2001",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Tsuda:1964:AMC,
author = "T. Tsuda and T. Kiyono",
title = "Application of the {Monte Carlo} method to systems of
nonlinear algebraic equations",
journal = j-NUM-MATH,
volume = "6",
pages = "59--67",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Salzer:1964:DDF,
author = "H. E. Salzer",
title = "Divided differences for functions of two variables for
irregularly spaces arguments",
journal = j-NUM-MATH,
volume = "6",
pages = "68--77",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schmidt:1964:AMI,
author = "Jochen W. Schmidt",
title = "{Ausgangsvektoren f{\"u}r monotone Iterationen bei
linearen Gleichungsystemen}. ({German}) [{Starting}
vectors for monotone iterations of linear equation
systems]",
journal = j-NUM-MATH,
volume = "6",
pages = "78--88",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:51:10 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Patry:1964:BF,
author = "J. Patry and J. Keller",
title = "{Zur Berechnung des Fehlerintegrals}. ({German})
[{Toward} the Computation of Error Integrals]",
journal = j-NUM-MATH,
volume = "6",
pages = "89--97",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Marshall:1964:ITE,
author = "A. W. Marshall and I. Olkin",
title = "Inclusion theorems for eigenvalues from probability
inequalities",
journal = j-NUM-MATH,
volume = "6",
pages = "98--102",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Kripke:1964:BAR,
author = "Bernard R. Kripke",
title = "Best approximation with respect to nearby norms",
journal = j-NUM-MATH,
volume = "6",
pages = "103--105",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Hageman:1964:BIM,
author = "L. A. Hageman and R. S. Varga",
title = "Block iterative methods for cyclically reduced matrix
equations",
journal = j-NUM-MATH,
volume = "6",
pages = "106--119",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Heap:1964:IPN,
author = "B. R. Heap and M. S. Lynn",
title = "The index of primitivity of a non-negative matrix",
journal = j-NUM-MATH,
volume = "6",
pages = "120--141",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Tee:1964:ACM,
author = "G. J. Tee",
title = "An application of $p$-cyclic matrices, for solving
periodic parabolic problems",
journal = j-NUM-MATH,
volume = "6",
pages = "142--159",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bittner:1964:UMI,
author = "L. Bittner",
title = "{{\"U}ber ein mehrstufiges Iterationsverfahren zur
L{\"o}sung von linearen Gleichungen}. ({German}) [{On}
a More Layered Iteration Method for Solution of Linear
Equations]",
journal = j-NUM-MATH,
volume = "6",
pages = "161--180",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Gunn:1964:NSS,
author = "J. E. Gunn",
title = "The numerical solution of $\nabla\cdot a\nabla u = f$
by a semi-explicit alternating-direction iterative
technique",
journal = j-NUM-MATH,
volume = "6",
pages = "181--184",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lynch:1964:DSP,
author = "R. Lynch and J. Rice and D. Thomas",
title = "Direct solution of partial difference equations by
tensor product methods",
journal = j-NUM-MATH,
volume = "6",
pages = "185--199",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 16:10:24 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Suschowk:1964:DAG,
author = "D. Suschowk",
title = "Difference analogues of {Green}'s identities for grids
in {$R^n$}",
journal = j-NUM-MATH,
volume = "6",
pages = "200--210",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Briones:1964:AAC,
author = "F. Briones",
title = "On the alternants appearing in {Chebyshev}'s best
approximation problem",
journal = j-NUM-MATH,
volume = "6",
pages = "211--223",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Ansorge:1964:SGK,
author = "Rainer Ansorge",
title = "{Zur Struktur gewisser Konvergenzkriterien bei der
numerischen L{\"o}sung von Anfangswertaufgaben}.
({German}) [{On} the structure of some convergence
criteria for numerical solving of certain initial value
problems]",
journal = j-NUM-MATH,
volume = "6",
pages = "224--234",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Boehm:1964:FWB,
author = "B. Boehm",
title = "Functions whose best rational {Chebyshev}
approximation are polynomials",
journal = j-NUM-MATH,
volume = "6",
pages = "235--242",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Gunn:1964:TSI,
author = "J. E. Gunn",
title = "On the two-stage iterative method of {Douglas} for
mildly non-linear elliptic difference equations",
journal = j-NUM-MATH,
volume = "6",
pages = "243--249",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Rosen:1964:PPP,
author = "J. B. Rosen",
title = "Primal partition programming for block diagonal
matrices",
journal = j-NUM-MATH,
volume = "6",
pages = "250--260",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Handscomb:1964:RMC,
author = "D. C. Handscomb",
title = "Remarks on a {Monte Carlo} integration method",
journal = j-NUM-MATH,
volume = "6",
pages = "261--268",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Broyden:1964:SGT,
author = "C. G. Broyden",
title = "Some generalisations of the theory of successive
over-relaxation",
journal = j-NUM-MATH,
volume = "6",
pages = "269--284",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Mitchell:1964:IFA,
author = "A. Mitchell and G. Fairweather",
title = "Improved forms of the alternating direction methods of
{Douglas}, {Peaceman}, and {Rachford} for solving
parabolic and elliptic equations",
journal = j-NUM-MATH,
volume = "6",
pages = "285--292",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lawson:1964:CPS,
author = "Ch.L. Lawson",
title = "Characteristic properties of the segmented rational
minmax approximation problem",
journal = j-NUM-MATH,
volume = "6",
pages = "293--301",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stoer:1964:CLU,
author = "J. Stoer",
title = "On the characterization of least upper bound norms in
matrix space",
journal = j-NUM-MATH,
volume = "6",
pages = "302--314",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wilf:1964:ECN,
author = "H. Wilf",
title = "Exactness conditions in numerical quadrature",
journal = j-NUM-MATH,
volume = "6",
pages = "315--319",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Filippi:1964:ATA,
author = "Siegfried Filippi",
title = "{Angen{\"a}herte Tschebyscheff-Approximation einer
Stammfunktion des Verfahrens von Clenshaw und Curtis}.
({German}) [{Chebyshev} Approximation of a Primitive
Function of the {Clenshaw--Curtis} Methods]",
journal = j-NUM-MATH,
volume = "6",
pages = "320--328",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Azpeitia:1964:DRS,
author = "A. G. Azpeitia and D. J. Dickinson",
title = "A decision rule in the simplex method that avoids
cycling",
journal = j-NUM-MATH,
volume = "6",
pages = "329--331",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schneider:1964:BND,
author = "A. Schneider",
title = "{Bemerkungen zur numerischen Differentiation}.
({German}) [{Remark} on numerical differentiation]",
journal = j-NUM-MATH,
volume = "6",
pages = "332--334",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Nov 05 10:26:22 2002",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Buchmann:1964:CUJ,
author = "M. Buchmann",
title = "A condition for uniform {Jordanization} of a family of
triangular matrices",
journal = j-NUM-MATH,
volume = "6",
pages = "335--345",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Heap:1964:GTA,
author = "B. R. Heap and M. S. Lynn",
title = "A graph-theoretic algorithm for the solution of a
linear {Diophantine} problem of {Frobenius}",
journal = j-NUM-MATH,
volume = "6",
pages = "346--354",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Nirschl:1964:BFV,
author = "N. Nirschl and H. Schneider",
title = "The {Bauer} fields of values of a matrix",
journal = j-NUM-MATH,
volume = "6",
pages = "355--365",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Varga:1964:SIG,
author = "R. S. Varga",
title = "On smallest isolated {Gerschgorin} disks for
eigenvalues",
journal = j-NUM-MATH,
volume = "6",
pages = "366--376",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lancaster:1964:EMD,
author = "P. Lancaster",
title = "On eigenvalues of matrices dependent on a parameter",
journal = j-NUM-MATH,
volume = "6",
pages = "377--387",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lancaster:1964:ALM,
author = "P. Lancaster",
title = "Algorithms for lambda-matrices",
journal = j-NUM-MATH,
volume = "6",
pages = "388--394",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Weinitschke:1964:UKI,
author = "H. J. Weinitschke",
title = "{{\"U}ber eine Klasse von Iterationsverfahren}.
({German}) [{On} a Class of Iteration Methods]",
journal = j-NUM-MATH,
volume = "6",
pages = "395--404",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Oettli:1964:CAS,
author = "W. Oettli and W. Prager",
title = "Compatibility of Approximate Solution of Linear
Equations With Given Error Bounds for Coefficients and
Right-Hand Sides",
journal = j-NUM-MATH,
volume = "6",
pages = "405--409",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/par.lin.alg.bib; Theory/Matrix.bib",
fjournal = "Numerische Mathematik",
keywords = "backward perturbation; la; linear system; pert",
}
@Article{Gerhards:1965:VBV,
author = "L. Gerhards and W. Lindenberg",
title = "{Ein Verfahren zur Berechnung des vollst{\"a}ndigen
Untergruppenverbandes endlicher Gruppen auf
Dualmaschinen}. ({German}) [{A} Method for Calculation
of the Complete Collection of Subgroups of Finite
Groups from Dual Machines]",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "1--10",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Schneider:1965:POI,
author = "Hans Schneider",
title = "Positive operators and an inertia theorem",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "11--17",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stetter:1965:AEE,
author = "Hans J. Stetter",
title = "Asymptotic expansions for the error of discretization
algorithms for non- linear functional equations",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "18--31",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Braess:1965:MIG,
author = "Dietrich Braess",
title = "{Monotone Iterationsfolgen bei Gleichungssystemen mit
fehlerhaften Koeffizienten und
Iterationsbeschleunigung}. ({German}) [{Monotone}
Iteration Sequences for Equation Systems with
Coefficients Having Errors, and Iteration
Acceleration]",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "32--41",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bergmann:1965:NSB,
author = "Stefan Bergmann and John G. Herriot",
title = "Numerical solution of boundary-value problems by the
method of integral operators",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "42--65",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Maybee:1965:SST,
author = "J. S. Maybee",
title = "Some structural theorems for partial difference
operators",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "66--72",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Hedstrom:1965:NSL,
author = "G. W. Hedstrom",
title = "The near-stability of the {Lax--Wendroff} method",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "73--77",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 16:10:24 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bulirsch:1965:NCEa,
author = "Roland Bulirsch",
title = "Numerical calculation of elliptic integrals and
elliptic functions",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "78--90",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
series = "Handbook Series Special functions",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Miller:1965:NAS,
author = "Keith Miller",
title = "Numerical analogs to the {Schwarz} alternating
procedure",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "91--103",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Metropolis:1965:AUA,
author = "N. Metropolis",
title = "Algorithms in unnormalized arithmetic. {I}:
{Recurrence} relations",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "104--112",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "68.00",
MRnumber = "MR0178589 (31 \#2846)",
MRreviewer = "G. Dahlquist",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See erratum \cite{Metropolis:1965:BAU}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Parter:1965:MNE,
author = "Seymour V. Parter",
title = "Mildly nonlinear elliptic partial differential
equations and their numerical solution. {I}",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "113--128",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Greenspan:1965:MNE,
author = "Donald Greenspan and Seymour V. Parter",
title = "Mildly nonlinear elliptic partial differential
equations and their numerical solution. {II}",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "129--146",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Marsal:1965:VSE,
author = "Dietrich Marsal",
title = "{Eine Verallgemeinerung der Summenformel von Euler und
ihre Anwendung auf ausgew{\"a}hlte Probleme der
numerischen Integration}. ({German}) [{A}
Generalization of {Euler}'s Summation Formula and its
Use for Selected Problems of Numerical Integration]",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "147--154",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Osborne:1965:NNS,
author = "M. R. Osborne",
title = "A note on the numerical solution of a periodic
parabolic problem",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "155--158",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Roark:1965:MCE,
author = "A. L. Roark and G. M. Wing",
title = "A method for computing the eigenvalues of certain
integral equations",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "159--170",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Todd:1965:SIG,
author = "John Todd",
title = "On smallest isolated {Gerschgorin} disks for
eigenvalues",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "170--175",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Brosowski:1965:ERT,
author = "Bruno Brosowski",
title = "{{\"U}ber die Eindeutigkeit der rationalen
Tschebyscheff-Approximationen}. ({German}) [{On} the
uniqueness of rational {Chebyshev} approximations]",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "176--186",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 12:04:07 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Parlett:1965:CA,
author = "Beresford Parlett",
title = "Convergence of the {$QR$} algorithm",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "187--193",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Miller:1965:ASF,
author = "G. F. Miller",
title = "Algorithms for special functions. {II}",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "194--196",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
series = "Handbook Series Special Functions",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Garsia:1965:SBB,
author = "Adriano M. Garsia",
title = "Some bounds on best uniform linear approximation",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "197--205",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Golub:1965:NMS,
author = "G. H. Golub",
title = "Numerical Methods for Solving Linear Least Squares
Problems",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "206--216",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "65.20",
MRnumber = "31\#5323",
MRreviewer = "W. J. Kotz{\'e}",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/tex/bib/gvl.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "Householder transformation; lsq; nla; qrd; updating",
}
@Article{Bennett:1965:TFM,
author = "John M. Bennett",
title = "Triangular factors of modified matrices",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "217--221",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Kuenzi:1965:DA,
author = "H. P. Kuenzi and H. Tzschach",
title = "The duoplex-algorithm",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "222--225",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Heap:1965:LDP,
author = "B. R. Heap and M. S. Lynn",
title = "On a linear {Diophantine} problem of {Frobenius}: an
improved algorithm",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "226--231",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Hammerlin:1965:ASQ,
author = "G{\"u}nther H{\"a}mmerlin",
title = "{{\"U}ber ableitungsfreie Schranken f{\"u}r
Quadraturfehler. II: Erg{\"a}nzungen und
M{\"o}glichkeiten zur Verbesserung}. ({German}) [{On}
constraints without derivatives for quadrature errors.
{II}: Completions and possibilities to improve]",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "232--237",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Cochran:1965:ZHF,
author = "James Alan Cochran",
title = "The zeros of {Hankel} functions as functions of their
order",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "238--250",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Focke:1965:UMM,
author = "J. Focke",
title = "{{\"U}ber die Multiplikativit{\"a}t von
Matrizennormen}. ({German}) [{On} the Multiplicability
of Matrix Norms]",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "251--254",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Gastinel:1965:PCE,
author = "N. Gastinel",
title = "Propri{\'e}t{\'e}s de certains ensembles normes de
matrices. ({French}) [{Properties} of Certain Matrix
Norm Ensembles]",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "255--260",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "French",
}
@Article{Timlake:1965:EP,
author = "W. P. Timlake",
title = "An extension of the ${\Sigma}^2$ procedure",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "261--268",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Businger:1965:LLS,
author = "Peter A. Businger and Gene H. Golub",
title = "Linear Least Squares Solutions by {Householder}
Transformations",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "269--276",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "65.20",
MRnumber = "31\#862",
bibdate = "Sun Jan 14 10:04:47 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/tex/bib/gvl.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 111--118]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "Householder transformation; lsq; nla; qrd; software",
}
@Article{Reimer:1965:FLD,
author = "Manfred Reimer",
title = "{Eine Fehlerabsch{\"a}tzung f{\"u}r lineare
Differenzenverfahren}. ({German}) [{An} error bound for
linear difference methods]",
journal = j-NUM-MATH,
volume = "7",
number = "4",
pages = "277--285",
month = aug,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Greenspan:1965:VSN,
author = "H. Greenspan and W. Hafner and M. Ribaric",
title = "On varying stepsize in numerical integration of first
order differential equations",
journal = j-NUM-MATH,
volume = "7",
number = "4",
pages = "286--291",
month = aug,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Hayden:1965:CFA,
author = "T. L. Hayden",
title = "Continued fraction approximation to functions",
journal = j-NUM-MATH,
volume = "7",
number = "4",
pages = "292--309",
month = aug,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Nemeth:1965:CEF,
author = "G. N{\'e}meth",
title = "{Chebyshev} expansions for {Fresnel} integrals",
journal = j-NUM-MATH,
volume = "7",
number = "4",
pages = "310--312",
month = aug,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Numerische Mathematik",
remark = "Fullerton: Two series of 12-digit coefficients are
given to cover the range $0 <= x < \infty.",
}
@Article{Klee:1965:CLP,
author = "Victor Klee",
title = "A class of linear programming problems requiring a
large number of iterations",
journal = j-NUM-MATH,
volume = "7",
number = "4",
pages = "313--321",
month = aug,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Ralston:1965:RCA,
author = "Anthony Ralston",
title = "Rational {Chebyshev} approximation by {Remes}'
algorithms",
journal = j-NUM-MATH,
volume = "7",
number = "4",
pages = "322--330",
month = aug,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bauer:1965:EPH,
author = "F. L. Bauer",
title = "An elementary proof of the {Hopf} inequality for
positive operators",
journal = j-NUM-MATH,
volume = "7",
number = "4",
pages = "331--337",
month = aug,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bauer:1965:EWR,
author = "F. L. Bauer",
title = "Elimination with Weighted Row Combinations for Solving
Linear Equations and Least Squares Problems",
journal = j-NUM-MATH,
volume = "7",
number = "4",
pages = "338--352",
month = aug,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 119--133]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "Gram--Schmidt algorithm; lsq; nla; software",
}
@Article{Bulirsch:1965:NCEb,
author = "Roland Bulirsch",
title = "Numerical calculation of elliptic integrals and
elliptic functions. {II}",
journal = j-NUM-MATH,
volume = "7",
number = "4",
pages = "353--354",
month = aug,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Metropolis:1965:BAU,
author = "N. Metropolis",
title = "Berichtigung: {Algorithms in unnormalized arithmetic.
I: Recurrence relations}",
journal = j-NUM-MATH,
volume = "7",
number = "4",
pages = "354--354",
month = oct,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed Jan 12 18:51:05 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See \cite{Metropolis:1965:AUA}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Martin:1965:SDPa,
author = "R. S. Martin and J. H. Wilkinson",
title = "Symmetric Decomposition of Positive Definite Band
Matrices",
journal = j-NUM-MATH,
volume = "7",
number = "5",
pages = "355--361",
month = oct,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 50--56]{Wilkinson:1971:LA}.",
fjournal = "Numerische Mathematik",
keywords = "band matrix; lud; nla; software; symmetric matrix",
}
@Article{Martin:1965:SDPb,
author = "R. S. Martin and G. Peters and J. H. Wilkinson",
title = "Symmetric Decomposition of a Positive Definite
Matrix",
journal = j-NUM-MATH,
volume = "7",
number = "5",
pages = "362--383",
month = oct,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 9--30]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "Cholesky decomposition; nla; software",
}
@Article{Barnhill:1965:CQR,
author = "Robert E. Barnhill",
title = "Complex quadratures with remainders of minimum norm",
journal = j-NUM-MATH,
volume = "7",
number = "5",
pages = "384--390",
month = oct,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Goldstein:1965:NM,
author = "A. A. Goldstein",
title = "On {Newton}'s method",
journal = j-NUM-MATH,
volume = "7",
number = "5",
pages = "391--393",
month = oct,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Roark:1965:PRW,
author = "A. L. Roark and L. F. Shampine",
title = "On paper of Roark and Wing",
journal = j-NUM-MATH,
volume = "7",
number = "5",
pages = "394--395",
month = oct,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Brosowski:1965:ELP,
author = "Bruno Brosowski",
title = "{{\"U}ber Extremalsignaturen linearer Polynome in $n$
Ver{\"a}nderlichen}. ({German}) [{On the extremal
signature of linear polynomials in $n$ variables}]",
journal = j-NUM-MATH,
volume = "7",
number = "5",
pages = "396--405",
month = oct,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:47:32 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Smith:1965:QMB,
author = "Francis J. Smith",
title = "Quadrature methods based on the {Clenshaw--Curtis}
method of integration",
journal = j-NUM-MATH,
volume = "7",
number = "5",
pages = "406--411",
month = oct,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Keller:1965:AFD,
author = "Herbert B. Keller",
title = "On the accuracy of finite difference approximations to
the eigenvalues of differential and integral
operators",
journal = j-NUM-MATH,
volume = "7",
number = "5",
pages = "412--419",
month = oct,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Shah:1965:ACF,
author = "S. M. Shah and P. Suryanarayana",
title = "Approximation of continuous functions by power series
with polynomial coefficients",
journal = j-NUM-MATH,
volume = "7",
number = "5",
pages = "420--425",
month = oct,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Rice:1965:CPR,
author = "John R. Rice",
title = "On the Conditioning of Polynomial and Rational Forms",
journal = j-NUM-MATH,
volume = "7",
number = "5",
pages = "426--435",
month = oct,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 16 17:22:04 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Bulirsch:1966:NTO,
author = "Roland Bulirsch and Josef Stoer",
title = "Numerical treatment of ordinary differential equations
by extrapolation methods",
journal = j-NUM-MATH,
volume = "8",
number = "1",
pages = "1--13",
month = mar,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Legras:1966:RNG,
author = "J. Legras",
title = "{R}{\'e}solution num{\'e}rique des grands syst{\`e}mes
diff{\'e}rentiels lin{\'e}aires. ({French})
[{Numerical} Solution of Large Systems of Linear
Differentials]",
journal = j-NUM-MATH,
volume = "8",
number = "1",
pages = "14--28",
month = mar,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "French",
}
@Article{Dejon:1966:STU,
author = "B. Dejon",
title = "Stronger than uniform convergence of multistep
difference methods",
journal = j-NUM-MATH,
volume = "8",
number = "1",
pages = "29--41",
month = mar,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See addendum \cite{Dejon:1966:AST}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lehmann:1966:VOE,
author = "N. J. Lehmann",
title = "{Zur Verwendung optimaler Eigenwerteingrenzungen bei
der L{\"o}sung symmetrischer Matrizenaufgaben}.
({German}) [{On} the Use of Optimal Eigenvalue
Enclosure for the Solution of Symmetric Matrix
Problems]",
journal = j-NUM-MATH,
volume = "8",
number = "1",
pages = "42--55",
month = mar,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Lieu:1966:MCE,
author = "Bui Trong Li{\^e}{\"u} and P. Huard",
title = "La m{\'e}thode des centres dans un espace topologique.
({French}) [{The} Method of Centers in a Topological
Space]",
journal = j-NUM-MATH,
volume = "8",
number = "1",
pages = "56--67",
month = mar,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "French",
}
@Article{Schaefke:1966:VBC,
author = "Friedrich W. Schaefke and Dieter Schmidt",
title = "{Ein Verfahren zur Berechnung des charakteristischen
Exponenten der Mathieuschen Differentialgleichung.
III}. ({German}) [{A} Method for Computation of the
Characteristic Exponent of {Mathieu}' Differential
Equation. {III}]",
journal = j-NUM-MATH,
volume = "8",
number = "1",
pages = "68--71",
month = mar,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Mueller:1966:HMC,
author = "Dennis J. Mueller",
title = "{Householder}'s Method for Complex Matrices and
{Hermitian} Matrices",
journal = j-NUM-MATH,
volume = "8",
number = "1",
pages = "72--92",
month = mar,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
annote = "Cited in \cite{govl:89}.",
fjournal = "Numerische Mathematik",
keywords = "complex matrix; eig; nla; symmetric matrix",
}
@Article{Bulirsch:1966:AUL,
author = "Roland Bulirsch and Josef Stoer",
title = "Asymptotic upper and lower bounds for results of
extrapolation methods",
journal = j-NUM-MATH,
volume = "8",
number = "2",
pages = "93--104",
month = apr,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Oct 18 13:02:03 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schmidt:1966:AEK,
author = "Jochen W. Schmidt",
title = "{Asymptotische Einschlie{\ss}ung bei
konvergenzbeschleunigenden Verfahren}. ({German})
[{Asymptotic bounds for convergence accelerating
methods}]",
journal = j-NUM-MATH,
volume = "8",
number = "2",
pages = "105--113",
month = apr,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Heap:1966:RMG,
author = "B. R. Heap",
title = "Random matrices and graphs",
journal = j-NUM-MATH,
volume = "8",
number = "2",
pages = "114--122",
month = apr,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Doring:1966:IIS,
author = "Boro D{\"o}ring",
title = "{Inverse Interpolation bei den speziellen Funktionen
der mathematischen Physik}. ({German}) [{Inverse
interpolation in the special functions of mathematical
physics}]",
journal = j-NUM-MATH,
volume = "8",
number = "2",
pages = "123--136",
month = apr,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:48:28 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Gourlay:1966:ADM,
author = "A. R. Gourlay and A. R. Mitchell",
title = "Alternating direction methods for hyperbolic systems",
journal = j-NUM-MATH,
volume = "8",
number = "2",
pages = "137--149",
month = apr,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stenger:1966:BEG,
author = "Frank Stenger",
title = "Bounds on the error of {Gauss}-type quadratures",
journal = j-NUM-MATH,
volume = "8",
number = "2",
pages = "150--160",
month = apr,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Spijker:1966:CSS,
author = "M. N. Spijker",
title = "Convergence and stability of step-by-step methods for
the numerical solution of initial-value problems",
journal = j-NUM-MATH,
volume = "8",
number = "2",
pages = "161--177",
month = apr,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Ansorge:1966:FVA,
author = "Rainer Ansorge",
title = "{Zur Frage der Verallgemeinerung des
{\"A}quivalenzsatzes von Lax}. ({German}) [{On} the
Question of Generalization of the {Lax} Equivalence
Principles]",
journal = j-NUM-MATH,
volume = "8",
number = "2",
pages = "178--185",
month = apr,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Widlund:1966:SPD,
author = "Olaf B. Widlund",
title = "Stability of parabolic difference schemes in the
maximum norm",
journal = j-NUM-MATH,
volume = "8",
number = "2",
pages = "186--202",
month = apr,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Martin:1966:IRS,
author = "R. S. Martin and G. Peters and J. H. Wilkinson",
title = "Iterative Refinement of the Solution of a Positive
Definite System of Equations",
journal = j-NUM-MATH,
volume = "8",
number = "3",
pages = "203--216",
month = may,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 31--44]{Wilkinson:1971:LA}.",
fjournal = "Numerische Mathematik",
keywords = "iterative refinement; linear system; nla; positive
definite matrix; software",
}
@Article{Bowdler:1966:SRC,
author = "H. J. Bowdler and R. S. Martin and G. Peters and J. H.
Wilkinson",
title = "Solution of Real and Complex Systems of Linear
Equations",
journal = j-NUM-MATH,
volume = "8",
number = "3",
pages = "217--234",
month = may,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 93--110]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "linear system; lud; nla; software",
}
@Article{Stetter:1966:NAF,
author = "Hans J. Stetter",
title = "Numerical approximation of {Fourier}-transforms",
journal = j-NUM-MATH,
volume = "8",
number = "3",
pages = "235--249",
month = may,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lambert:1966:GMM,
author = "John D. Lambert and Brian Shaw",
title = "A generalisation of multistep methods for ordinary
differential equations",
journal = j-NUM-MATH,
volume = "8",
number = "3",
pages = "250--263",
month = may,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wynn:1966:USR,
author = "P. Wynn",
title = "Upon systems of recursions which obtain among the
quotients of the {Pad{\'e}} table",
journal = j-NUM-MATH,
volume = "8",
number = "3",
pages = "264--269",
month = may,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Guderley:1966:RTP,
author = "Karl G. Guderley and Paul J. Nikolai",
title = "Reduction of two-point boundary value problems in a
vector space to initial value problems by projection",
journal = j-NUM-MATH,
volume = "8",
number = "3",
pages = "270--289",
month = may,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Kerner:1966:GBN,
author = "Immo O. Kerner",
title = "{Ein Gesamtschrittverfahren zur Berechnung der
Nullstellen von Polynomen}. ({German}) [{A} Complete
Step Method for the Computation of Zeros of
Polynomials]",
journal = j-NUM-MATH,
volume = "8",
number = "3",
pages = "290--294",
month = may,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Barrodale:1966:ABL,
author = "Ian Barrodale and Andrew Young",
title = "Algorithms for best {$L_1$} and {$L_\infty$} linear
approximations on a discrete set",
journal = j-NUM-MATH,
volume = "8",
number = "3",
pages = "295--306",
month = may,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Broyden:1966:ASC,
author = "C. G. Broyden and F. Ford",
title = "An algorithm for the solution of certain kinds of
linear equations",
journal = j-NUM-MATH,
volume = "8",
number = "4",
pages = "307--323",
month = jun,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Yamamoto:1966:CMD,
author = "Tetsuro Yamamoto",
title = "A computational method for the dominant root of a
nonnegative irreducible matrix",
journal = j-NUM-MATH,
volume = "8",
number = "4",
pages = "324--333",
month = jun,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Hammerlin:1966:AQA,
author = "G{\"u}nther H{\"a}mmerlin",
title = "{Zur Absch{\"a}tzung von Quadraturfehlern f{\"u}r
analytische Funktionen}. ({German}) [{On} Bounds for
Quadrature Error for Analytic Funktions]",
journal = j-NUM-MATH,
volume = "8",
number = "4",
pages = "334--344",
month = jun,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Meinguet:1966:MER,
author = "J. Meinguet",
title = "Methods for estimating the remainder in linear rules
of approximation. {Application} to the {Romberg}
algorithm",
journal = j-NUM-MATH,
volume = "8",
number = "4",
pages = "345--366",
month = jun,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 16:10:24 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Gourlay:1966:SID,
author = "A. R. Gourlay and A. R. Mitchell",
title = "A stable implicit difference method for hyperbolic
systems in two space variables",
journal = j-NUM-MATH,
volume = "8",
number = "4",
pages = "367--375",
month = jun,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Pereyra:1966:IAS,
author = "Victor Pereyra",
title = "On improving an approximate solution of a functional
equation by deferred corrections",
journal = j-NUM-MATH,
volume = "8",
number = "4",
pages = "376--391",
month = jun,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Gorenflo:1966:SAT,
author = "Rudolf Gorenflo and Yehudith Kovetz",
title = "Solution of an {Abel}-type integral equation in the
presence of noise by quadratic programming",
journal = j-NUM-MATH,
volume = "8",
number = "4",
pages = "392--406",
month = jun,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Rudert:1966:UPL,
author = "W. S. Rudert and H. G. Lill",
title = "{{\"U}ber Partitionen und ein lineares diophantisches
Problem}. ({German}) [{On} partitions and a linear
{Diophantine} problem]",
journal = j-NUM-MATH,
volume = "8",
number = "5",
pages = "407--411",
month = aug,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Feb 22 18:39:08 2001",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Ponstein:1966:SCE,
author = "J. Ponstein",
title = "Splitting certain eigenvalue/eigenvector problems",
journal = j-NUM-MATH,
volume = "8",
number = "5",
pages = "412--421",
month = aug,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Clendenin:1966:MNC,
author = "W. W. Clendenin",
title = "A method for numerical calculation of {Fourier}
integrals",
journal = j-NUM-MATH,
volume = "8",
number = "5",
pages = "422--436",
month = aug,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Porsching:1966:DST,
author = "T. A. Porsching",
title = "Diagonal similarity transformations which isolate
{Gerschgorin} disks",
journal = j-NUM-MATH,
volume = "8",
number = "5",
pages = "437--443",
month = aug,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Ninham:1966:GFD,
author = "B. W. Ninham",
title = "Generalised functions and divergent integrals",
journal = j-NUM-MATH,
volume = "8",
number = "5",
pages = "444--457",
month = aug,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lyness:1966:VMS,
author = "J. N. Lyness and C. B. Moler",
title = "{Van der Monde} Systems and Numerical
Differentiation",
journal = j-NUM-MATH,
volume = "8",
number = "5",
pages = "458--464",
month = aug,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Gragg:1966:TK,
author = "W. B. Gragg and A. S. Householder",
title = "On a Theorem of {K{\"o}nig}",
journal = j-NUM-MATH,
volume = "8",
number = "5",
pages = "465--468",
month = aug,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
fjournal = "Numerische Mathematik",
keywords = "Koenig's theorem; nlop",
}
@Article{Rutishauser:1966:JMR,
author = "H. Rutishauser",
title = "The {Jacobi} method for real symmetric matrices",
journal = j-NUM-MATH,
volume = "9",
number = "1",
pages = "1--10",
month = nov,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "Also in \cite[pp. 202--211]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Kempen:1966:CCJ,
author = "H. P. M. van Kempen",
title = "On the convergence of the classical {Jacobi} method
for real symmetric matrices with non-distinct
eigenvalues",
journal = j-NUM-MATH,
volume = "9",
number = "1",
pages = "11--18",
month = nov,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Kempen:1966:QCS,
author = "H. P. M. van Kempen",
title = "On the quadratic convergence of the special cyclic
{Jacobi} method",
journal = j-NUM-MATH,
volume = "9",
number = "1",
pages = "19--22",
month = nov,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Rall:1966:CNP,
author = "L. B. Rall",
title = "Convergence of the {Newton} process to multiple
solutions",
journal = j-NUM-MATH,
volume = "9",
number = "1",
pages = "23--37",
month = nov,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stroud:1966:SAI,
author = "A. H. Stroud",
title = "Some approximative integration formulas of degree $3$
for an $n$-dimensional simplex",
journal = j-NUM-MATH,
volume = "9",
number = "1",
pages = "38--45",
month = nov,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Householder:1966:STN,
author = "A. S. Householder",
title = "Separation theorems for normalizable matrices",
journal = j-NUM-MATH,
volume = "9",
number = "1",
pages = "46--50",
month = nov,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Buchanan:1966:UCM,
author = "M. L. Buchanan and B. N. Parlett",
title = "The uniform convergence of matrix powers",
journal = j-NUM-MATH,
volume = "9",
number = "1",
pages = "51--54",
month = nov,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lancaster:1966:EAN,
author = "P. Lancaster",
title = "Error analysis for the {Newton--Raphson} method",
journal = j-NUM-MATH,
volume = "9",
number = "1",
pages = "55--68",
month = nov,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Nickel:1966:UNF,
author = "Karl Nickel",
title = "{{\"U}ber die Notwendigkeit einer
Fehlerschranken-Arithmetik f{\"u}r Rechenautomaten}.
({German}) [{On} the Need for Interval Arithmetic on
Computers]",
journal = j-NUM-MATH,
volume = "9",
number = "1",
pages = "69--79",
month = nov,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Nickel:1966:NBW,
author = "Karl Nickel",
title = "{Die numerische Berechnung der Wurzeln eines
Polynoms}. ({German}) [{The} Numerical Computation of
Polynomial Roots]",
journal = j-NUM-MATH,
volume = "9",
number = "1",
pages = "80--98",
month = nov,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Daniel:1966:CAM,
author = "James W. Daniel",
title = "Correcting approximations to multiple roots of
polynomials",
journal = j-NUM-MATH,
volume = "9",
number = "1",
pages = "99--102",
month = nov,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Rutishauser:1966:BEO,
author = "H. Rutishauser",
title = "{Bestimmung der Eigenwerte orthogonaler Matrizen}.
({German}) [{Determination of the Eigenvalues of
Orthogonal Matrices}]",
journal = j-NUM-MATH,
volume = "9",
number = "2",
pages = "104--108",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Fiedler:1966:MI,
author = "Miroslav Fiedler",
title = "Matrix inequalities",
journal = j-NUM-MATH,
volume = "9",
number = "2",
pages = "109--119",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Henrici:1966:TEE,
author = "Peter Henrici and Pia Pfl{\"u}ger",
title = "Truncation error estimates for {Stieltjes} fractions",
journal = j-NUM-MATH,
volume = "9",
number = "2",
pages = "120--138",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Golub:1966:NIR,
author = "G. H. Golub and J. H. Wilkinson",
title = "Note on the Iterative Refinement of Least Squares
Solution",
journal = j-NUM-MATH,
volume = "9",
number = "2",
pages = "139--148",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "65.20",
MRnumber = "35 \#3849",
MRreviewer = "W. J. Kotz{\'e}",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/tex/bib/gvl.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "condition; iterative refinement; la; lsq; nla; pert",
}
@Article{Schroder:1966:OUI,
author = "Johann Schr{\"o}der",
title = "{Operator-Ungleichungen und ihre numerische Anwendung
bei Randwertaufgaben}. ({German}) [{Operator
inequalities and their numerical use in boundary value
problems}]",
journal = j-NUM-MATH,
volume = "9",
number = "2",
pages = "149--162",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:48:34 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Fiedler:1966:SGP,
author = "Miroslav Fiedler and Vlastimil Pt{\'a}k",
title = "Some generalizations of positive definiteness and
monotonicity",
journal = j-NUM-MATH,
volume = "9",
number = "2",
pages = "163--172",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bauer:1966:ISR,
author = "F. L. Bauer",
title = "Inclusion sets for roots of polynomials",
journal = j-NUM-MATH,
volume = "9",
number = "2",
pages = "173--176",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Cody:1966:RCA,
author = "W. J. Cody and J. Stoer",
title = "Rational {Chebyshev} approximations using
interpolation",
journal = j-NUM-MATH,
volume = "9",
number = "3",
pages = "177--188",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See erratum \cite{Cody:1968:CRC}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Robert:1966:RMP,
author = "F. Robert",
title = "Recherche d'une {$M$}-matrice parmi les minorantes
d'un op{\'e}rateur lin{\'e}aire. ({French}) [{Search}
for an {$M$}-Matrix among the Minorants of a Linear
Operator]",
journal = j-NUM-MATH,
volume = "9",
number = "3",
pages = "189--199",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "French",
}
@Article{Stenger:1966:EBE,
author = "Frank Stenger",
title = "Error bounds for the evaluation of integrals by
repeated {Gauss}-type formulae",
journal = j-NUM-MATH,
volume = "9",
number = "3",
pages = "200--213",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Penkov:1966:HMA,
author = "B. Penkov and Bl. Sendov",
title = "{Hausdorffsche Metrik und Approximationen}. ({German})
[{Hausdorff} Metric and Approximations]",
journal = j-NUM-MATH,
volume = "9",
number = "3",
pages = "214--226",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Klee:1966:CPD,
author = "Victor Klee",
title = "A comparison of primal and dual methods of linear
programming",
journal = j-NUM-MATH,
volume = "9",
number = "3",
pages = "227--235",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bramble:1966:SOF,
author = "James H. Bramble",
title = "A second order finite difference analog of the first
biharmonic boundary value problem",
journal = j-NUM-MATH,
volume = "9",
number = "3",
pages = "236--249",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Symm:1966:IEM,
author = "George T. Symm",
title = "An integral equation method in conformal mapping",
journal = j-NUM-MATH,
volume = "9",
number = "3",
pages = "250--258",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bradbury:1966:NIM,
author = "W. W. Bradbury and R. Fletcher",
title = "New Iterative Methods for Solution of the
Eigenproblem",
journal = j-NUM-MATH,
volume = "9",
number = "3",
pages = "259--267",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "conjugate gradients; eig; nla; sparse",
}
@Article{Dejon:1966:AST,
author = "B. Dejon",
title = "Addendum to {``stronger than uniform convergence of
multistep difference methods''}",
journal = j-NUM-MATH,
volume = "9",
number = "3",
pages = "268--270",
month = dec,
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See \cite{Dejon:1966:STU}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bulirsch:1967:NQE,
author = "Roland Bulirsch and Josef Stoer",
title = "Numerical quadrature by extrapolation",
journal = j-NUM-MATH,
volume = "9",
number = "4",
pages = "271--278",
month = feb,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
series = "Handbook Series Numerical Integration",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Martin:1967:SSU,
author = "R. S. Martin and J. H. Wilkinson",
title = "Solution of Symmetric and Unsymmetric Band Equations
and the Calculation of Eigenvectors of Band Matrices",
journal = j-NUM-MATH,
volume = "9",
number = "4",
pages = "279--301",
month = feb,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 12:54:13 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 70--92]{Wilkinson:1971:LA}.",
series = "Handbook Series Linear Algebra",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "band matrix; eig; linear system; nla; software",
}
@Article{Hofmann:1967:AED,
author = "Peter Hofmann",
title = "Asymptotic expansions of the discretization error of
boundary value problems of the {Laplace} equation in
rectangular domains",
journal = j-NUM-MATH,
volume = "9",
number = "4",
pages = "302--322",
month = feb,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Oliver:1967:REP,
author = "J. Oliver",
title = "Relative error propagation in the recursive solution
of linear recurrence relations",
journal = j-NUM-MATH,
volume = "9",
number = "4",
pages = "323--340",
month = feb,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Urabe:1967:NSM,
author = "Minoru Urabe",
title = "Numerical solution of multi-point boundary value
problems in {Chebyshev} series. Theory of the method",
journal = j-NUM-MATH,
volume = "9",
number = "4",
pages = "341--366",
month = feb,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Shaw:1967:SMF,
author = "B. Shaw",
title = "Some multistep formulae for special high order
ordinary differential equations",
journal = j-NUM-MATH,
volume = "9",
number = "4",
pages = "367--378",
month = feb,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Sauer:1967:AWE,
author = "R. Sauer",
title = "{Alwin Watther em. ord. Professor an der Technischen
Hochschule Darmstadt}",
journal = j-NUM-MATH,
volume = "9",
number = "4",
pages = "379--379",
month = feb,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed Jan 12 19:06:22 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bulirsch:1967:NCS,
author = "Roland Bulirsch",
title = "Numerical calculation of the sine, cosine and
{Fresnel} integrals",
journal = j-NUM-MATH,
volume = "9",
number = "5",
pages = "380--385",
month = apr,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
series = "Handbook Series Special Functions",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Barth:1967:CES,
author = "R. S. Martin and W. Barth and J. H. Wilkinson",
title = "Calculation of the Eigenvalues of a Symmetric
Tridiagonal matrix by the Method of Bisection",
journal = j-NUM-MATH,
volume = "9",
number = "5",
pages = "386--393",
month = apr,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 249--256]{Wilkinson:1971:LA}.",
series = "Handbook Series Linear Algebra",
fjournal = "Numerische Mathematik",
keywords = "eig; nla; software; Sturm sequence; symmetric matrix;
tridiagonal matrix",
}
@Article{Ciarlet:1967:NMH,
author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga",
title = "Numerical methods of high-order accuracy for nonlinear
boundary value problems. {I}: {One} dimensional
problem",
journal = j-NUM-MATH,
volume = "9",
number = "5",
pages = "394--430",
month = apr,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See birthday greetings \cite{Ciarlet:1998:ERV}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Merzrath:1967:DSP,
author = "Ernst Merzrath",
title = "Direct solution of partial difference equations",
journal = j-NUM-MATH,
volume = "9",
number = "5",
pages = "431--436",
month = apr,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Redheffer:1967:BUD,
author = "R. M. Redheffer",
title = "{Bemerkungen {\"u}ber Differentialungleichungen bei
abz{\"a}hlbaren Ausnahmemengen}. ({German}) [{Remark}
on Differential Equations for Countable Sets]",
journal = j-NUM-MATH,
volume = "9",
number = "5",
pages = "437--445",
month = apr,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Hodgkins:1967:RBD,
author = "W. R. Hodgkins",
title = "On the relation between dynamic relaxation and
semi-iterative matrix methods",
journal = j-NUM-MATH,
volume = "9",
number = "5",
pages = "446--451",
month = apr,
year = "1967",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02162158",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 09:46:27 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Gaier:1967:RCO,
author = "Dieter Gaier and John Todd",
title = "On the rate of convergence of optimal {ADI}
processes",
journal = j-NUM-MATH,
volume = "9",
number = "5",
pages = "452--459",
month = apr,
year = "1967",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02162159",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 09:46:27 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stroud:1967:SFD,
author = "A. H. Stroud",
title = "Some fifth degree integration formulas for symmetric
regions {II}",
journal = j-NUM-MATH,
volume = "9",
number = "5",
pages = "460--468",
month = apr,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 09:46:27 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Metropolis:1967:SSN,
author = "N. Metropolis and M. L. Stein and P. R. Stein",
title = "Stable states of a non-linear transformation",
journal = j-NUM-MATH,
volume = "10",
number = "1",
pages = "1--19",
month = may,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Eisen:1967:ESC,
author = "Dennis Eisen",
title = "The equivalence of stability and convergence for
finite difference schemes with singular coefficients",
journal = j-NUM-MATH,
volume = "10",
number = "1",
pages = "20--29",
month = may,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Gries:1967:CCC,
author = "David Gries",
title = "Characterizations of certain classes of norms",
journal = j-NUM-MATH,
volume = "10",
number = "1",
pages = "30--41",
month = may,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schmidt:1967:FPF,
author = "Jochen W. Schmidt and Hartmut Dressel",
title = "{Fehlerabsch{\"a}tzungen bei Polynomgleichungen mit
dem Fixpunktsatz von Brouwer}. ({German}) [{Error
estimates by polynomial equations with Brouwer's fixed
point estimate}]",
journal = j-NUM-MATH,
volume = "10",
number = "1",
pages = "42--50",
month = may,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:51:30 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Brosowski:1967:ERT,
author = "Bruno Brosowski and Henry L. Loeb",
title = "{Zur Eindeutigkeit der rationalen
Tschebyscheff-Approximation an stetig differenzierbare
Funktionen}. ({German}) [{On} the uniqueness of
rational {Chebyshev} approximation of continuous
differentiable functions]",
journal = j-NUM-MATH,
volume = "10",
number = "1",
pages = "51--55",
month = may,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Fairweather:1967:SHA,
author = "G. Fairweather and A. R. Gourlay and A. R. Mitchell",
title = "Some high accuracy difference with a splitting
operator for equations of parabolic and elliptic type",
journal = j-NUM-MATH,
volume = "10",
number = "1",
pages = "56--66",
month = may,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Keast:1967:FDS,
author = "P. Keast and A. R. Mitchell",
title = "Finite difference solution of the third boundary
problem in elliptic and parabolic equations",
journal = j-NUM-MATH,
volume = "10",
number = "1",
pages = "67--75",
month = may,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Osborne:1967:NSP,
author = "M. R. Osborne",
title = "The numerical solution of a periodic parabolic problem
subject to a nonlinear boundary condition",
journal = j-NUM-MATH,
volume = "10",
number = "1",
pages = "76--79",
month = may,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Walter:1967:BIL,
author = "Wolfgang Walter",
title = "{Bemerkungen zu Iterationsverfahren bei linearen
Gleichungssystemen}. ({German}) [{Remark} on Iteration
Method for Linear Equation Systems]",
journal = j-NUM-MATH,
volume = "10",
number = "1",
pages = "80--85",
month = may,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Pyle:1967:GIA,
author = "L. Duane Pyle",
title = "A generalized inverse $\epsilon$-algorithm for
constructing intersection projection matrices, with
applications",
journal = j-NUM-MATH,
volume = "10",
number = "1",
pages = "86--102",
month = may,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Mehndiratta:1967:SSD,
author = "S. L. Mehndiratta",
title = "Symmetry and self-duality in nonlinear programming",
journal = j-NUM-MATH,
volume = "10",
number = "2",
pages = "103--109",
month = jul,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Tsuda:1967:MKP,
author = "Takao Tsuda and Kozo Ichida and Takeshi Kiyono",
title = "{Monte Carlo} path-integral calculations for two-point
boundary-value problems",
journal = j-NUM-MATH,
volume = "10",
number = "2",
pages = "110--116",
month = jul,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Atkinson:1967:SNU,
author = "Kendall E. Atkinson",
title = "The solution of non-unique linear integral equations",
journal = j-NUM-MATH,
volume = "10",
number = "2",
pages = "117--124",
month = jul,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 16:10:24 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Daniel:1967:CCG,
author = "James W. Daniel",
title = "Convergence of the Conjugate Gradient Method with
Computationally Convenient Modifications",
journal = j-NUM-MATH,
volume = "10",
number = "2",
pages = "125--131",
month = jul,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Maitre:1967:NCN,
author = "Jean-Fran{\c{c}}ois Maitre",
title = "Norme compos{\'e}e et norme associ{\'e}e
g{\'e}n{\'e}ralis{\'e}e d'une matrice. ({French})
[{Composed} and Associative Generalized Matrix Norm]",
journal = j-NUM-MATH,
volume = "10",
number = "2",
pages = "132--141",
month = jul,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "French",
}
@Article{Loizou:1967:BIW,
author = "G. Loizou",
title = "Bounds for the inequality of {Wielandt}",
journal = j-NUM-MATH,
volume = "10",
number = "2",
pages = "142--146",
month = jul,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Dunham:1967:TRC,
author = "Charles B. Dunham",
title = "Transformed rational {Chebyshev} approximation",
journal = j-NUM-MATH,
volume = "10",
number = "2",
pages = "147--152",
month = jul,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Elsner:1967:RBM,
author = "L. Elsner and R. M. Redheffer",
title = "Remarks on band matrices",
journal = j-NUM-MATH,
volume = "10",
number = "2",
pages = "153--161",
month = jul,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Parlett:1967:CCQ,
author = "Beresford Parlett",
title = "Correction to convergence of the {QR} algorithm",
journal = j-NUM-MATH,
volume = "10",
number = "2",
pages = "163--164",
month = jul,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Cryer:1967:CLE,
author = "C. W. Cryer",
title = "On the calculation of the largest eigenvalue of an
integral equation",
journal = j-NUM-MATH,
volume = "10",
number = "2",
pages = "165--176",
month = jul,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Reinsch:1967:SSF,
author = "Christian H. Reinsch",
title = "Smoothing by spline functions",
journal = j-NUM-MATH,
volume = "10",
number = "3",
pages = "177--183",
month = oct,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Goldstein:1967:EAM,
author = "A. A. Goldstein and J. F. Price",
title = "An effective algorithm for minimization",
journal = j-NUM-MATH,
volume = "10",
number = "3",
pages = "184--189",
month = oct,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Laurent:1967:TCM,
author = "P. J. Laurent",
title = "Th{\'e}or{\`e}mes de caract{\'e}risation d'une
meilleure approximation dans un espace norme et
g{\'e}n{\'e}ralisation de l'algorithme de {Remes}.
({French}) [{Theorems} for Characterizing the Best
Approximation in a Normed Space and Generalization of
the {Remes} Algorithm]",
journal = j-NUM-MATH,
volume = "10",
number = "3",
pages = "190--208",
month = oct,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "French",
}
@Article{Ansorge:1967:KML,
author = "Rainer Ansorge",
title = "{Konvergenz von Mehrschrittverfahren zur L{\"o}sung
halblinearer Anfangswertaufgaben}. ({German})
[{Convergence} of a multistep method for solution of
half-linear initial-value problems]",
journal = j-NUM-MATH,
volume = "10",
number = "3",
pages = "209--219",
month = oct,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Fri Feb 23 06:39:53 2001",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bohl:1967:NAH,
author = "Erich Bohl",
title = "{Nichtlineare Aufgaben in halbgeordneten R{\"a}umen}.
({German}) [{Nonlinear} problems in half-ordered
spaces]",
journal = j-NUM-MATH,
volume = "10",
number = "3",
pages = "220--231",
month = oct,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Feb 22 18:40:20 2001",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Smith:1967:CNM,
author = "R. A. Smith",
title = "The condition numbers of the matrix eigenvalue
problem",
journal = j-NUM-MATH,
volume = "10",
number = "3",
pages = "232--240",
month = oct,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Kadner:1967:NBI,
author = "Horst Kadner",
title = "{Die numerische Behandlung von Integralgleichungen
nach der Kollokationsmethode}. ({German}) [{The}
numerical treatment of integral equations in the
collocation method]",
journal = j-NUM-MATH,
volume = "10",
number = "3",
pages = "241--260",
month = oct,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Lehmann:1967:FND,
author = "N. J. Lehmann",
title = "{Fehlerschranken f{\"u}r N{\"a}herungsl{\"o}sungen bei
Differentialgleichungen}. ({German}) [{Error} bounds
for approximate solutions of differential equations]",
journal = j-NUM-MATH,
volume = "10",
number = "3",
pages = "261--288",
month = oct,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Feb 22 18:41:56 2001",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Werner:1967:RCA,
author = "H. Werner and J. Stoer and W. Bommas",
title = "Rational {Chebyshev} approximation",
journal = j-NUM-MATH,
volume = "10",
number = "4",
pages = "289--306",
month = nov,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Cooper:1967:SSM,
author = "G. J. Cooper and E. Gal",
title = "Single step methods for linear differential
equations",
journal = j-NUM-MATH,
volume = "10",
number = "4",
pages = "307--315",
month = nov,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Pereyra:1967:IDC,
author = "Victor Pereyra",
title = "Iterated deferred corrections for nonlinear operator
equations",
journal = j-NUM-MATH,
volume = "10",
number = "4",
pages = "316--323",
month = nov,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Ryan:1967:SMC,
author = "Joseph T. Ryan",
title = "A sieve method for classifying composite numbers",
journal = j-NUM-MATH,
volume = "10",
number = "4",
pages = "324--326",
month = nov,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{McNamee:1967:CFS,
author = "J. McNamee and F. Stenger",
title = "Construction of fully symmetric numerical integration
formulas",
journal = j-NUM-MATH,
volume = "10",
number = "4",
pages = "327--344",
month = nov,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schultz:1967:S,
author = "M. H. Schultz and R. S. Varga",
title = "{L}-splines",
journal = j-NUM-MATH,
volume = "10",
number = "4",
pages = "345--369",
month = nov,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Meinguet:1967:OAE,
author = "J. Meinguet",
title = "Optimal approximation and error bounds in seminormed
spaces",
journal = j-NUM-MATH,
volume = "10",
number = "4",
pages = "370--388",
month = nov,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Miller:1967:PBO,
author = "John J. H. Miller",
title = "On power-bounded operators and operators satisfying a
resolvent condition",
journal = j-NUM-MATH,
volume = "10",
number = "5",
pages = "389--396",
month = nov,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Eisen:1967:NS,
author = "Dennis Eisen",
title = "{On the numerical solution of $u_t = u\sb{rr} +{2\over
r} u_r$}",
journal = j-NUM-MATH,
volume = "10",
number = "5",
pages = "397--409",
month = nov,
year = "1967",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Forster:1967:EFG,
author = "Peter F{\"o}rster",
title = "{Existenzaussagen und Fehlerabsch{\"a}tzungen bei
gewissen nichtlinearen Randwertaufgaben mit
gew{\"o}hnlichen Differentialgleichungen}. ({German})
[{Existence statement and error bounds for certain
nonlinear boundary value problems with ordinary
differential equations}]",
journal = j-NUM-MATH,
volume = "10",
number = "5",
pages = "410--422",
month = nov,
year = "1967",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02162874",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 09:53:27 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Stoss:1967:VBC,
author = "Hanns-J{\"o}rg Stoss",
title = "{Ein Verfahren zur Berechnung des charakteristischen
Exponenten der Differentialgleichung $y'' + (\lambda +
2\lambda1cos\chi + 2\lambda 2 cos 2\chi) y = 0$}.
({German}) [{A} procedure for the computation of the
characteristic exponent of the differential equation
$y'' + (\lambda + 2\lambda1cos\chi + 2\lambda 2 cos
2\chi) y = 0$]",
journal = j-NUM-MATH,
volume = "10",
number = "5",
pages = "423--436",
month = nov,
year = "1967",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02162875",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 09:53:27 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Symm:1967:NME,
author = "George T. Symm",
title = "Numerical mapping of exterior domains",
journal = j-NUM-MATH,
volume = "10",
number = "5",
pages = "437--445",
month = nov,
year = "1967",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02162876",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 09:53:27 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Dixon:1967:HSC,
author = "John D. Dixon",
title = "High speed computation of group characters",
journal = j-NUM-MATH,
volume = "10",
number = "5",
pages = "446--450",
month = nov,
year = "1967",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02162877",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 09:53:27 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Menzel:1967:AUA,
author = "M. Menzel and N. Metropolis",
title = "Algorithms in unnormalized arithmetic {II}.
Unrestricted polynomial evaluation",
journal = j-NUM-MATH,
volume = "10",
number = "5",
pages = "451--462",
month = nov,
year = "1967",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02162878",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 09:53:27 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Eberlein:1968:SEN,
author = "P. J. Eberlein and J. Boothroyd",
title = "Solution to the Eigenproblem by a Norm Reducing
{Jacobi} Type Method",
journal = j-NUM-MATH,
volume = "11",
number = "1",
pages = "1--12",
month = jan,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/par.lin.alg.bib; Theory/Matrix.bib",
note = "Also in \cite[pp. 327--338]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "eig; Jacobi-like; nla; nonsymmetric matrix; software",
}
@Article{McAllister:1968:PBD,
author = "G. T. McAllister",
title = "A priori bounds on difference quotients of solutions
to some linear uniformly elliptic difference
equations",
journal = j-NUM-MATH,
volume = "11",
number = "1",
pages = "13--37",
month = jan,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Anselone:1968:SCV,
author = "P. M. Anselone and L. B. Rall",
title = "The solution of characteristic value-vector problems
by {Newton}'s method",
journal = j-NUM-MATH,
volume = "11",
number = "1",
pages = "38--45",
month = jan,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Heller:1968:UPC,
author = "Sidney Heller",
title = "On the uniform positivity of a certain finite
difference matrix",
journal = j-NUM-MATH,
volume = "11",
number = "1",
pages = "46--52",
month = jan,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schmidt:1968:AEK,
author = "Jochen W. Schmidt",
title = "{Asymptotische Einschlie{\ss}ung bei
konvergenzbeschleunigenden Verfahren. II}. ({German})
[{Asymptotic enclosure with convergence acceleration
method. II}]",
journal = j-NUM-MATH,
volume = "11",
number = "1",
pages = "53--56",
month = jan,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Forsythe:1968:ADD,
author = "George E. Forsythe",
title = "On the asymptotic directions of the $s$-dimensional
optimum gradient method",
journal = j-NUM-MATH,
volume = "11",
number = "1",
pages = "57--76",
month = jan,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lynn:1968:NSS,
author = "M. Stuart Lynn and William P. Timlake",
title = "The numerical solution of singular integral equations
of potential theory",
journal = j-NUM-MATH,
volume = "11",
number = "1",
pages = "77--98",
month = jan,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Martin:1968:RSE,
author = "R. S. Martin and J. H. Wilkinson",
title = "Reduction of the Symmetric Eigenproblem {$Ax = \lambda
Bx$} and Related Problems to Standard Form",
journal = j-NUM-MATH,
volume = "11",
number = "2",
pages = "99--110",
month = feb,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 303--314]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "geig; nla; software; symmetric matrix",
}
@Article{Pereyra:1968:IDC,
author = "Victor Pereyra",
title = "Iterated deferred corrections for nonlinear boundary
value problems",
journal = j-NUM-MATH,
volume = "11",
number = "2",
pages = "111--125",
month = feb,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Householder:1968:MCR,
author = "A. S. Householder",
title = "Moments and characteristic roots. {II}",
journal = j-NUM-MATH,
volume = "11",
number = "2",
pages = "126--128",
month = feb,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
annote = "Cited in \cite{govl:89}.",
fjournal = "Numerische Mathematik",
keywords = "eig; la; pert",
}
@Article{Bittner:1968:AVH,
author = "L. Bittner",
title = "{Absch{\"a}tzungen bei Variationsmethoden mit Hilfe
von Dualit{\"a}tss{\"a}tzen. I}. ({German}) [{Bounds}
of the Variational Method with the Aid of the Duality
Principle. {I}]",
journal = j-NUM-MATH,
volume = "11",
number = "2",
pages = "129--143",
month = feb,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Mueller:1968:ELA,
author = "Heinrich N. M{\"u}ller",
title = "{Zur Eindeutigkeit bei der linearen Approximation im
allgemeinen sowie Tschebyscheffschen Fall}. ({German})
[{On} the Uniqueness of the Linear Approximation in
General as Well as {Chebyshev} Cases]",
journal = j-NUM-MATH,
volume = "11",
number = "2",
pages = "144--150",
month = feb,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Werner:1968:NSS,
author = "Wolfgang Werner",
title = "Numerical solution of systems of quasilinear
hyperbolic differential equations by means of the
method of nebencharacteristics in combination with
extrapolation methods",
journal = j-NUM-MATH,
volume = "11",
number = "2",
pages = "151--169",
month = feb,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Kempfert:1968:SDR,
author = "H. Kempfert",
title = "On sign determinations in real algebraic number
fields",
journal = j-NUM-MATH,
volume = "11",
number = "2",
pages = "170--174",
month = feb,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Apostolatos:1968:ALT,
author = "N. Apostolatos and U. Kulisch and R. Krawczyk and B.
Lortz and K. Nickel and H. W. Wippermann",
title = "The algorithmic language {Triplex-ALGOL 60}",
journal = j-NUM-MATH,
volume = "11",
number = "2",
pages = "175--180",
month = feb,
year = "1968",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02165313",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "From the first page: ``triplex numbers, previously
called Fehlerschrankenzahlen by K. Nickel and interval
numbers by R. E. Moore. \ldots{} Triplex numbers are
intervals with a main value enclosed, which corresponds
to conventional numbers of {\bf real} type. The first
number following $[$ is the lower bound of the interval
associated with a triplex number, the next number is
the previous mentioned main value, and the last number
followed by $]$ is the upper bound of the interval. The
following relation has to be fulfilled: $\mbox{lower
bound} \leq \mbox{main value} \leq \mbox{upper
bound}$.''.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Martin:1968:HTS,
author = "R. S. Martin and C. Reinsch and J. H. Wilkinson",
title = "{Householder}'s tridiagonalization of a symmetric
matrix",
journal = j-NUM-MATH,
volume = "11",
number = "3",
pages = "181--195",
month = mar,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 212--226]{Wilkinson:1971:LA}.",
fjournal = "Numerische Mathematik",
keywords = "eig; Householder transformation; nla; software;
symmetric matrix; tridiagonal matrix",
}
@Article{Thomee:1968:EDE,
author = "Vidar Thom{\'e}e and Bertil Westergren",
title = "Elliptic difference equations and interior
regularity",
journal = j-NUM-MATH,
volume = "11",
number = "3",
pages = "196--210",
month = mar,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Yamamoto:1968:ECO,
author = "Tetsuro Yamamoto",
title = "On the eigenvalues of compact operators in a {Hilbert}
space",
journal = j-NUM-MATH,
volume = "11",
number = "3",
pages = "211--219",
month = mar,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Krabs:1968:LOH,
author = "Werner Krabs",
title = "{Lineare Optimierung in halbgeordneten
Vektorr{\"a}umen}. ({German}) [{Linear} Optimization in
Half-Ordered Vector Spaces]",
journal = j-NUM-MATH,
volume = "11",
number = "3",
pages = "220--231",
month = mar,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Birkhoff:1968:PHI,
author = "G. Birkhoff and M. H. Schultz and R. S. Varga",
title = "Piecewise {Hermite} interpolation in one and two
variables with applications to partial differential
equations",
journal = j-NUM-MATH,
volume = "11",
number = "3",
pages = "232--256",
month = mar,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{DeMeersman:1968:MG,
author = "R. {De Meersman}",
title = "The method of {Garabedian}",
journal = j-NUM-MATH,
volume = "11",
number = "3",
pages = "257--263",
month = mar,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Reinsch:1968:RTN,
author = "C. Reinsch and F. L. Bauer",
title = "Rational {$QR$} Transformation with {Newton} Shift for
Symmetric Tridiagonal Matrices",
journal = j-NUM-MATH,
volume = "11",
number = "3",
pages = "264--272",
month = mar,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 257--272]{Wilkinson:1971:LA}.",
fjournal = "Numerische Mathematik",
keywords = "eig; nla; QR algorithm; software; symmetric matrix;
tridiagonal Matrix",
}
@Article{Stroud:1968:SSD,
author = "A. H. Stroud",
title = "Some seventh degree integration formulas for the
surface of an $n$-sphere",
journal = j-NUM-MATH,
volume = "11",
number = "3",
pages = "273--276",
month = mar,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Felsch:1968:UPB,
author = "V. Felsch and J. Neub{\"u}ser",
title = "{{\"U}ber ein Programm zu Berechnung der
Automorphismengruppe einer endlichen Gruppe}.
({German}) [{On} a Program for Computation of the
Automorphism Group of a Finite Group]",
journal = j-NUM-MATH,
volume = "11",
number = "3",
pages = "277--292",
month = mar,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bowdler:1968:ASM,
author = "Hilary J. Bowdler and R. S. Martin and C. Reinsch and
J. H. Wilkinson",
title = "The {$QR$} and {$QL$} Algorithms for Symmetric
Matrices",
journal = j-NUM-MATH,
volume = "11",
number = "4",
pages = "293--306",
month = may,
year = "1968",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02166681",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 227--240]{Wilkinson:1971:LA}.",
fjournal = "Numerische Mathematik",
keywords = "eig; nla; QR algorithm; software; symmetric matrix",
}
@Article{Kschwendt:1968:CLM,
author = "H. Kschwendt",
title = "Convergence limits in the {Monte Carlo} theory of
integral equations",
journal = j-NUM-MATH,
volume = "11",
number = "4",
pages = "307--314",
month = may,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Polya:1968:GME,
author = "George P{\'o}lya",
title = "{Graeffe}'s method for eigenvalues",
journal = j-NUM-MATH,
volume = "11",
number = "4",
pages = "315--319",
month = may,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Medley:1968:SIGa,
author = "Helen I. Medley and Richard S. Varga",
title = "On Smallest Isolated {Gerschgorin} Disks for
Eigenvalues. {II}",
journal = j-NUM-MATH,
volume = "11",
number = "4",
pages = "320--323",
month = may,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Dennis:1968:NLM,
author = "J. E. {Dennis, Jr.}",
title = "On {Newton}-like methods",
journal = j-NUM-MATH,
volume = "11",
number = "4",
pages = "324--330",
month = may,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Ciarlet:1968:NMHa,
author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga",
title = "Numerical methods of high-order accuracy for nonlinear
boundary value problems. {II}: Nonlinear boundary
conditions",
journal = j-NUM-MATH,
volume = "11",
number = "4",
pages = "331--345",
month = may,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Nitsche:1968:KQO,
author = "Joachim A. Nitsche",
title = "{Ein Kriterium f{\"u}r die Quasi-Optimalit{\"a}t des
Titzschen Verfahrens}. ({German}) [{A} Criterion for
the Quasi-Optimality of {Titzche} Methods]",
journal = j-NUM-MATH,
volume = "11",
number = "4",
pages = "346--348",
month = may,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Oliver:1968:NSL,
author = "J. Oliver",
title = "The numerical solution of linear recurrence
relations",
journal = j-NUM-MATH,
volume = "11",
number = "4",
pages = "349--360",
month = may,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Medley:1968:SIGb,
author = "Helen I. Medley and Richard S. Varga",
title = "On Smallest Isolated {Gerschgorin} Disks for
Eigenvalues. {III}",
journal = j-NUM-MATH,
volume = "11",
number = "5",
pages = "361--369",
month = jun,
year = "1968",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02161884",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "eig; Gerschgorin's theorem; la",
}
@Article{Gragg:1968:TEB,
author = "William B. Gragg",
title = "Truncation error bounds for $g$-fractions",
journal = j-NUM-MATH,
volume = "11",
number = "5",
pages = "370--379",
month = jun,
year = "1968",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02161885",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wendland:1968:BRI,
author = "Wolfgang Wendland",
title = "{Die Behandlung von Randwertaufgaben im $R_3$ mit
Hilfe von Einfach- und Doppelschichtpotentialen}.
({German}) [{The} treatment of boundary-value problems
in ${R}_3$ by simple and double blocking layer
potentials]",
journal = j-NUM-MATH,
volume = "11",
number = "5",
pages = "380--404",
month = jun,
year = "1968",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02161886",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 10:10:03 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bode:1968:MUS,
author = "Albert Bode",
title = "{Matrizielle untere Schranken linearer Abbildungen und
$M$-Matrizen}. ({German}) [{Matrix} lower bounds of
linear transformations and ${M}$ Matrices]",
journal = j-NUM-MATH,
volume = "11",
number = "5",
pages = "",
month = jun,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 10:10:03 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Wood:1968:ENM,
author = "W. L. Wood",
title = "On an explicit numerical method for solving the
biharmonic equation",
journal = j-NUM-MATH,
volume = "11",
number = "5",
pages = "413--426",
month = jun,
year = "1968",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02161888",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 10:10:03 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Jeggle:1968:DKF,
author = "Hansgeorg Jeggle",
title = "{Zur Diskretisierung einer Klasse Fredholmscher
Integralgleichungen mit singul{\~a}rem Wert der Ordnung
$1$}. ({German}) [On the discretisation of a class of
{Fredholm} integral equations with singular values of
order $1$]",
journal = j-NUM-MATH,
volume = "11",
number = "5",
pages = "427--443",
month = jun,
year = "1968",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02161889",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 10:10:03 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Kulisch:1968:RZM,
author = "U. Kulisch",
title = "{{\"U}ber regul{\"a}re Zerlegungen von Matrizen und
einige Anwendungen}. ({German}) [{On} Regular
Dismantlings of Stencils and Some Applications]",
journal = j-NUM-MATH,
volume = "11",
number = "5",
pages = "444--449",
month = jun,
year = "1968",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02161890",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 10:10:03 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Eckhardt:1968:EEW,
author = "Ulrich Eckhardt",
title = "{Einige Eigenschaften Wilfscher Quadraturformeln}.
({German}) [{Some} Eigenvalues of the {Wilf} Quadrature
Formula]",
journal = j-NUM-MATH,
volume = "12",
number = "1",
pages = "1--7",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Dunham:1968:TRC,
author = "Charles B. Dunham",
title = "Transformed rational {Chebyshev} approximation. {II}",
journal = j-NUM-MATH,
volume = "12",
number = "1",
pages = "8--10",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Watt:1968:CCS,
author = "J. M. Watt",
title = "Consistency, Convergence and Stability of General
Discretizations of the Initial Value Problem",
journal = j-NUM-MATH,
volume = "12",
number = "1",
pages = "11--22",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Moore:1968:ANO,
author = "Robert H. Moore",
title = "Approximations to nonlinear operator equations and
{Newton}'s method",
journal = j-NUM-MATH,
volume = "12",
number = "1",
pages = "23--34",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Hadeler:1968:NVI,
author = "K. P. Hadeler",
title = "{Newton-Verfahren f{\"u}r inverse Eigenwertaufgaben}.
({German}) [{Newton} Method for Inverse Eigenvalue
Problems]",
journal = j-NUM-MATH,
volume = "12",
number = "1",
pages = "35--39",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Pomentale:1968:DRL,
author = "Tomaso Pomentale",
title = "On discrete rational least squares approximation",
journal = j-NUM-MATH,
volume = "12",
number = "1",
pages = "40--46",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Broyden:1968:SAC,
author = "C. G. Broyden",
title = "Some aspects of consistent ordering",
journal = j-NUM-MATH,
volume = "12",
number = "1",
pages = "47--56",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Brosowski:1968:RTA,
author = "Bruno Brosowski and Josef Stoer",
title = "{Zur rationalen Tschebyscheff-Approximation
differenzierbarer und analytischer Funktionen}.
({German}) [{On} a rational {Chebyshev} approximation
of differentiable and analytic functions]",
journal = j-NUM-MATH,
volume = "12",
number = "1",
pages = "57--65",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:48:49 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Anselone:1968:GMC,
author = "P. M. Anselone and P. J. Laurent",
title = "A general method for the construction of interpolating
or smoothing spline-functions",
journal = j-NUM-MATH,
volume = "12",
number = "1",
pages = "66--82",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Marshall:1968:SMA,
author = "Albert W. Marshall and Ingram Olkin",
title = "Scaling of matrices to achieve specified row and
column sums",
journal = j-NUM-MATH,
volume = "12",
number = "1",
pages = "83--90",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bauer:1968:FVG,
author = "F. L. Bauer",
title = "Fields of values and {Gershgorin} disks",
journal = j-NUM-MATH,
volume = "12",
number = "2",
pages = "91--95",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Zenger:1968:CPB,
author = "Chr. Zenger",
title = "On convexity properties of the {Bauer} field of values
of a matrix",
journal = j-NUM-MATH,
volume = "12",
number = "2",
pages = "96--105",
month = aug,
year = "1968",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02173403",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Maitre:1968:CNA,
author = "Jean-Fran{\c{c}}ois Ma{\^\i}tre",
title = "Sur une classe de normes et l'analyse a posteriori
d'un syst{\`e}me lin{\'e}aire. ({French}) [{On} a Class
of Norms and the {A} Posteriori Analysis of a Linear
System ]",
journal = j-NUM-MATH,
volume = "12",
number = "2",
pages = "106--110",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "French",
}
@Article{Ghizzetti:1968:PCQ,
author = "Aldo Ghizzetti",
title = "Procedure for constructing quadrature formulae on
infinite intervals",
journal = j-NUM-MATH,
volume = "12",
number = "2",
pages = "111--119",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Ciarlet:1968:NMHb,
author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga",
title = "Numerical methods of high-order accuracy for nonlinear
boundary value problems. {III}: {Eigenvalue} problems",
journal = j-NUM-MATH,
volume = "12",
number = "2",
pages = "120--133",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 12:54:13 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Wets:1968:TAC,
author = "R. J.-B. Wets and Christoph Witzgall",
title = "Towards an algebraic characterization of convex
polyhedral cones",
journal = j-NUM-MATH,
volume = "12",
number = "2",
pages = "134--138",
month = aug,
year = "1968",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02173407",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stetter:1968:INM,
author = "Hans J. Stetter",
title = "Instability and non-monotonicity phenomena in
discretizations to boundary value problems",
journal = j-NUM-MATH,
volume = "12",
number = "2",
pages = "139--145",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stoer:1968:LBM,
author = "Josef Stoer",
title = "Lower bounds of matrices",
journal = j-NUM-MATH,
volume = "12",
number = "2",
pages = "146--158",
month = aug,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Neckermann:1968:UAD,
author = "L. Neckermann and P. O. Runck",
title = "{{\"U}ber Approximationseigenschaften differenzierter
Lagrangescher Interpolationspolynome mit Jacobischen
Abszissen}. ({German}) [{On} Approximate Eigenvalues of
Differentiated {Lagrangian} Interpolation Polynomials
with {Jacobian} Abscissas]",
journal = j-NUM-MATH,
volume = "12",
number = "3",
pages = "159--169",
month = oct,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Roark:1968:EDI,
author = "A. L. Roark and L. F. Shampine",
title = "On the eigenproblem for displacement integral
equations",
journal = j-NUM-MATH,
volume = "12",
number = "3",
pages = "170--179",
month = oct,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Gourlay:1968:HAD,
author = "A. R. Gourlay and A. R. Mitchell",
title = "High accuracy {A.D.I.} methods for parabolic equations
with variable coefficients",
journal = j-NUM-MATH,
volume = "12",
number = "3",
pages = "180--185",
month = oct,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Brown:1968:NLI,
author = "Kenneth M. Brown and J. E. {Dennis, Jr.}",
title = "On {Newton}-Like Iteration Functions: General
Convergence Theorems and a Specific Algorithm",
journal = j-NUM-MATH,
volume = "12",
number = "3",
pages = "186--191",
month = oct,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "Newton's method; nlop",
}
@Article{Atteia:1968:FSD,
author = "Marc Atteia",
title = "Fonctions `spline' d{\'e}finies sur un ensemble
convexe. ({French}) [{Spline} Functions Defined on a
Convex Set]",
journal = j-NUM-MATH,
volume = "12",
number = "3",
pages = "192--210",
month = oct,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "French",
}
@Article{Forster:1968:BIS,
author = "Peter Forster",
title = "{Bemerkungen zum Iterationsverfahren von Schulz zur
Bestimmung der Inversen einer Matrix}. ({German})
[{Remarks} on {Schulz}'s iterative method for computing
the inverse of a matrix]",
journal = j-NUM-MATH,
volume = "12",
number = "3",
pages = "211--214",
month = oct,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bernal:1968:GTC,
author = "M. J. M. Bernal and J. H. Verner",
title = "On Generalizations of the Theory of Consistent
Orderings for Successive Over-Relaxation Methods",
journal = j-NUM-MATH,
volume = "12",
number = "3",
pages = "215--222",
month = oct,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
annote = "Cited in \cite{govl:89}.",
fjournal = "Numerische Mathematik",
keywords = "iter; linear system; nla; relaxation",
}
@Article{Kreiss:1968:NSS,
author = "Heinz-Otto Kreiss",
title = "On the numerical solution of the spherically symmetric
diffusion equation",
journal = j-NUM-MATH,
volume = "12",
number = "3",
pages = "223--225",
month = oct,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Manas:1968:FAV,
author = "Miroslav Ma{\v{n}}as and Josef Nedoma",
title = "Finding all vertices of a convex polyhedron",
journal = j-NUM-MATH,
volume = "12",
number = "3",
pages = "226--229",
month = oct,
year = "1968",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02162916",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "Graphics/siggraph/pre75.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
oldlabel = "geom-397",
}
@Article{Cody:1968:CRC,
author = "W. J. Cody and J. Stoer",
title = "Corrigendum: ``{Rational Chebyshev} approximations
using interpolation''",
journal = j-NUM-MATH,
volume = "12",
number = "3",
pages = "230--230",
month = oct,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Sep 27 17:57:49 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See \cite{Cody:1966:RCA}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schwarz:1968:TSB,
author = "H. R. Schwarz",
title = "Tridiagonalization of a symmetric band matrix",
journal = j-NUM-MATH,
volume = "12",
number = "4",
pages = "231--241",
month = nov,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "Also in \cite[pp. 273--283]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Cody:1968:RCA,
author = "W. J. Cody and W. Fraser and J. F. Hart",
title = "Rational {Chebyshev} approximation using linear
equations",
journal = j-NUM-MATH,
volume = "12",
number = "4",
pages = "242--251",
month = nov,
year = "1968",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02162506",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lyness:1968:CSI,
author = "J. N. Lyness",
title = "The calculation of {Stieltjes'} integral",
journal = j-NUM-MATH,
volume = "12",
number = "4",
pages = "252--265",
month = nov,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Ciarlet:1968:NMHc,
author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga",
title = "Numerical methods of high-order accuracy for nonlinear
boundary value problems. {IV}: {Periodic} boundary
conditions",
journal = j-NUM-MATH,
volume = "12",
number = "4",
pages = "266--279",
month = nov,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 12:54:13 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Osborne:1968:NSP,
author = "M. R. Osborne",
title = "The numerical solution of a periodic parabolic problem
subject to a nonlinear boundary condition. {II}",
journal = j-NUM-MATH,
volume = "12",
number = "4",
pages = "280--287",
month = nov,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Heesterman:1968:SSA,
author = "A. R. G. Heesterman",
title = "Special simplex algorithm for multi-sector problems",
journal = j-NUM-MATH,
volume = "12",
number = "4",
pages = "288--306",
month = nov,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Walter:1968:LNP,
author = "Wolfgang Walter",
title = "{Die Linienmethode bei nichtlinearen parabolischen
Differentialgleichungen}. ({German}) [{The} Line Method
for Nonlinear Parabolic Differential Equations]",
journal = j-NUM-MATH,
volume = "12",
number = "4",
pages = "307--321",
month = nov,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Keast:1968:TBV,
author = "P. Keast",
title = "The third boundary value problem for elliptic
equations",
journal = j-NUM-MATH,
volume = "12",
number = "4",
pages = "322--326",
month = nov,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Karamardian:1968:ESC,
author = "S. Karamardian",
title = "Existence of solutions of certain systems of nonlinear
inequalities",
journal = j-NUM-MATH,
volume = "12",
number = "4",
pages = "327--334",
month = nov,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Cryer:1968:PSG,
author = "C. W. Cryer",
title = "Pivot Size in {Gaussian} Elimination",
journal = j-NUM-MATH,
volume = "12",
number = "4",
pages = "335--345",
month = nov,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Businger:1968:MWC,
author = "P. A. Businger",
title = "Matrices Which Can Be Optimally Scaled",
journal = j-NUM-MATH,
volume = "12",
number = "4",
pages = "346--348",
month = nov,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Martin:1968:SRG,
author = "Roger S. Martin and J. H. Wilkinson",
title = "Similarity Reduction of a General Matrix to
{Hessenberg} Form",
journal = j-NUM-MATH,
volume = "12",
number = "5",
pages = "349--368",
month = dec,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 339--358]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "eig; Hessenberg matrix; nla; nonsymmetric matrix;
software",
}
@Article{Martin:1968:MAC,
author = "Roger S. Martin and J. H. Wilkinson",
title = "The Modified {$LR$} Algorithm for Complex {Hessenberg}
Matrices",
journal = j-NUM-MATH,
volume = "12",
number = "5",
pages = "369--376",
month = dec,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 396--403]{Wilkinson:1971:LA}.",
fjournal = "Numerische Mathematik",
keywords = "complex matrix; eig; Hessenberg matrix; LR algorithm;
nla; software",
}
@Article{Martin:1968:IA,
author = "R. S. Martin and J. H. Wilkinson",
title = "The Implicit {$QL$} Algorithm",
journal = j-NUM-MATH,
volume = "12",
number = "5",
pages = "377--383",
month = dec,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp.~241--248]{Wilkinson:1971:LA}, where
A. A. Dubrulle is listed as the lead author.",
fjournal = "Numerische Mathematik",
keywords = "eig; nla; QL algorithm; QR algorithm; software;
tridiagonal matrix",
}
@Article{Barnhill:1968:APM,
author = "Robert E. Barnhill",
title = "Asymptotic properties of minimum norm and optimal
quadratures",
journal = j-NUM-MATH,
volume = "12",
number = "5",
pages = "384--393",
month = dec,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Zlamal:1968:FEM,
author = "Milo{\v{s}} Zl{\'a}mal",
title = "On the finite element method",
journal = j-NUM-MATH,
volume = "12",
number = "5",
pages = "394--409",
month = dec,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Shampine:1968:EBV,
author = "L. F. Shampine",
title = "Error bounds and variational methods for nonlinear
boundary value problems",
journal = j-NUM-MATH,
volume = "12",
number = "5",
pages = "410--415",
month = dec,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Fraser:1968:AUA,
author = "M. Fraser and N. Metropolis",
title = "Algorithms in unnormalized arithmetic. {III}: {Matrix}
inversion",
journal = j-NUM-MATH,
volume = "12",
number = "5",
pages = "416--428",
month = dec,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Loizou:1968:MCS,
author = "G. Loizou",
title = "On matrices with a checkerboard sign distribution",
journal = j-NUM-MATH,
volume = "12",
number = "5",
pages = "429--430",
month = dec,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Noltemeier:1968:A,
author = "H. Noltemeier and M. Ost",
title = "{Zum Auswahlproblem}. ({German}) [{On} the Selection
Problem]",
journal = j-NUM-MATH,
volume = "12",
number = "5",
pages = "431--434",
month = dec,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Goel:1968:CBF,
author = "J.-J. Go{\"e}l",
title = "Construction of basic functions for numerical
utilisation of {Ritz}'s method",
journal = j-NUM-MATH,
volume = "12",
number = "5",
pages = "435--447",
month = dec,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schafke:1968:ZGL,
author = "F. W. Sch{\"a}fke",
title = "{Zum Zeilensummenkriterium}. (German) [{On} the line
sum criterion]",
journal = j-NUM-MATH,
volume = "12",
number = "5",
pages = "448--453",
month = dec,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Jan 13 08:26:57 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Sunouchi:1968:PTD,
author = "Haruo Sunouchi",
title = "Perturbation theory of difference schemes",
journal = j-NUM-MATH,
volume = "12",
number = "5",
pages = "454--458",
month = dec,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Jan 13 08:26:57 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Oliver:1968:EOE,
author = "J. Oliver",
title = "An extension of {Olver}'s error estimation technique
for linear recurrence relations",
journal = j-NUM-MATH,
volume = "12",
number = "5",
pages = "459--467",
month = dec,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Jan 13 08:26:57 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bauer:1969:ROS,
author = "F. L. Bauer",
title = "Remarks on Optimally Scaled Matrices",
journal = j-NUM-MATH,
volume = "13",
number = "1",
pages = "1--3",
month = mar,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Rutishauser:1969:CAF,
author = "Heinz Rutishauser",
title = "Computational aspects of {F. L. Bauer}'s simultaneous
iteration method",
journal = j-NUM-MATH,
volume = "13",
number = "1",
pages = "4--13",
month = mar,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Verner:1969:OSI,
author = "J. H. Verner",
title = "The Order of Some Implicit {Runge--Kutta} Methods",
journal = j-NUM-MATH,
volume = "13",
number = "1",
pages = "14--23",
month = mar,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Werner:1969:ENG,
author = "Jochen Werner",
title = "{Einschlie{\ss}ungssa{\"a}tze bei nichtlinearen
gew{\"o}nlichen Randwertaufgaben und erzwungene
Schwingungen}. ({German}) [{Enclosure} Principles for
Nonlinear Ordinary Boundary Value Problems and Forced
Vibrations]",
journal = j-NUM-MATH,
volume = "13",
number = "1",
pages = "24--38",
month = mar,
year = "1969",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02165271",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Ade:1969:IHO,
author = "Hans Ade",
title = "{Iterationsverfahren h{\"o}herer Ordnung in
Banach-R{\"a}umen}. ({German}) [{Iteration} Methods of
Higher-Order in {Banach} Spaces]",
journal = j-NUM-MATH,
volume = "13",
number = "1",
pages = "39--50",
month = mar,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Ciarlet:1969:NMH,
author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga",
title = "Numerical methods of high-order accuracy for nonlinear
boundary value problems. {V}: Monotone Operator
Theory",
journal = j-NUM-MATH,
volume = "13",
number = "1",
pages = "51--77",
month = mar,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Natterer:1969:EGE,
author = "Frank Natterer",
title = "{Einschlie{\ss}ungen f{\"u}r die gro{\ss}en Eigenwerte
gew{\"o}nlicher Differentialgleichungen zweiter und
vierter Ordnung}. ({German}) [{Bounds for the large
eigenvalues of second- and fourth-order ordinary
differential equations}]",
journal = j-NUM-MATH,
volume = "13",
number = "1",
pages = "78--93",
month = mar,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Ehresmann:1969:ABA,
author = "Dietbert Ehresmann",
title = "{Zur Absch{\"a}tzung des Bestapproximationsfehlers bei
der Approximation differenzierbarer Funktionen durch
Polynome}. ({German}) [{Toward} Approximation of Best
Approximation Errors for the Approximation of
Differentiable Functions by Polynomials]",
journal = j-NUM-MATH,
volume = "13",
number = "1",
pages = "94--100",
month = mar,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bramble:1969:CDA,
author = "J. H. Bramble",
title = "On the convergence of difference approximations to
weak solutions of {Dirichlet}'s problem",
journal = j-NUM-MATH,
volume = "13",
number = "2",
pages = "101--111",
month = may,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Werner:1969:UZI,
author = "H. Werner and Dietrich Braess",
title = "{{\"U}ber den Zusammenhang von Interpolation und
diskreter $T$-Approximation mit rationalen Funktionen}.
({German}) [{On} the Coherence of Interpolation and
Discrete {$T$} Approximation with Rational Functions]",
journal = j-NUM-MATH,
volume = "13",
number = "2",
pages = "112--128",
month = may,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Anderssen:1969:NSP,
author = "R. S. Anderssen",
title = "The numerical solution of parabolic differential
equations using variational methods",
journal = j-NUM-MATH,
volume = "13",
number = "2",
pages = "129--145",
month = may,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Sreedharan:1969:SOL,
author = "V. P. Sreedharan",
title = "Solutions of overdetermined linear equations which
minimize error in an abstract norm",
journal = j-NUM-MATH,
volume = "13",
number = "2",
pages = "146--151",
month = may,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Osborn:1969:NPT,
author = "John E. Osborn",
title = "A note on a perturbation theorem for the matrix
eigenvalue problem",
journal = j-NUM-MATH,
volume = "13",
number = "2",
pages = "152--153",
month = may,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stiefel:1969:SCM,
author = "E. Stiefel and D. G. Bettis",
title = "Stabilization of {Cowell}'s method",
journal = j-NUM-MATH,
volume = "13",
number = "2",
pages = "154--175",
month = may,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Squier:1969:OSM,
author = "D. P. Squier",
title = "One-step methods for ordinary differential equations",
journal = j-NUM-MATH,
volume = "13",
number = "2",
pages = "176--179",
month = may,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Perrin:1969:HON,
author = "F. M. Perrin and H. S. Price and R. S. Varga",
title = "On higher-order numerical methods for nonlinear
two-point boundary value problems",
journal = j-NUM-MATH,
volume = "13",
number = "2",
pages = "180--198",
month = may,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Osborne:1969:EBA,
author = "M. R. Osborne and G. A. Watson",
title = "On estimating best approximations of functions defined
by differential equations",
journal = j-NUM-MATH,
volume = "13",
number = "3",
pages = "199--206",
month = jul,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Marek:1969:RSC,
author = "Ivo Marek",
title = "On the row sum criterion and the convergence of some
iterative processes",
journal = j-NUM-MATH,
volume = "13",
number = "3",
pages = "207--216",
month = jul,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Ansorge:1969:KDQ,
author = "Rainer Ansorge",
title = "{Konvergenz von Differenzenverfahren f{\"u}r
quasilineare Anfangswertaufgaben}. ({German})
[{Convergence} of Difference Methods for Quasilinear
Initial Value Problems]",
journal = j-NUM-MATH,
volume = "13",
number = "3",
pages = "217--225",
month = jul,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bohl:1969:UFN,
author = "Erich Bohl",
title = "{{\"U}ber Fehlerabsch{\"a}tzungen bei nichtlinearen
Operatorgleichungen}. ({German}) [{On} Error Bounds for
Nonlinear Operator Equations]",
journal = j-NUM-MATH,
volume = "13",
number = "3",
pages = "226--237",
month = jul,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Johnson:1969:UAV,
author = "Lee W. Johnson",
title = "Uniform approximation of vector-valued functions",
journal = j-NUM-MATH,
volume = "13",
number = "3",
pages = "238--244",
month = jul,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 16:10:24 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Elsner:1969:BAM,
author = "L. Elsner",
title = "{Bemerkung zu einer Arbeit von Marshall und Olkin}.
({German}) [{Remark} on a paper of {Marshall} and
{Olkin}]",
journal = j-NUM-MATH,
volume = "13",
number = "3",
pages = "245--246",
month = jul,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Feb 22 18:42:15 2001",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Pattabhiraman:1969:SPP,
author = "M. V. Pattabhiraman and P. Lancaster",
title = "Spectral properties of a polynomial operator",
journal = j-NUM-MATH,
volume = "13",
number = "3",
pages = "247--259",
month = jul,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Nitsche:1969:VRS,
author = "Joachim A. Nitsche",
title = "{Verfahren von Ritz und Spline-Interpolation bei
Sturm--Liouville-Randwertproblemen}. ({German}) [{Ritz
methods and spline interpolation of Sturm--Liouville
boundary value problems}]",
journal = j-NUM-MATH,
volume = "13",
number = "3",
pages = "260--265",
month = jul,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Bulirsch:1969:EBT,
author = "R. Bulirsch",
title = "An extension of the {Bartky}-transformation to
incomplete elliptic integrals of the third kind",
journal = j-NUM-MATH,
volume = "13",
number = "3",
pages = "266--284",
month = jul,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Hadeler:1969:EAM,
author = "K. P. Hadeler",
title = "{Einige Anwendungen mehrparametriger
Eigenwertaufgaben}. ({German}) [{Some} Uses of Extra
Parametrized Eigenvalue Problems]",
journal = j-NUM-MATH,
volume = "13",
number = "3",
pages = "285--292",
month = jul,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Parlett:1969:BMC,
author = "B. N. Parlett and C. Reinsch",
title = "Balancing a matrix for calculation of eigenvalues and
eigenvectors",
journal = j-NUM-MATH,
volume = "13",
number = "4",
pages = "293--304",
month = aug,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 315--326]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
keywords = "eig; nla; scaling; software",
}
@Article{Bulirsch:1969:NCE,
author = "R. Bulirsch",
title = "Numerical calculation of elliptic integrals and
elliptic functions. {III}",
journal = j-NUM-MATH,
volume = "13",
number = "4",
pages = "305--315",
month = aug,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Rainey:1969:CST,
author = "John W. Rainey",
title = "On comparatively stable tridiagonalization methods",
journal = j-NUM-MATH,
volume = "13",
number = "4",
pages = "316--322",
month = aug,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Razelos:1969:AAS,
author = "P. Razelos",
title = "On the accuracy of the analog solution of heat
conduction problems involving {Newtonian} cooling",
journal = j-NUM-MATH,
volume = "13",
number = "4",
pages = "323--333",
month = aug,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Nitsche:1969:ISF,
author = "J. Nitsche",
title = "{Interpolation in Sobolevschen Funktionenr{\"a}umen}.
({German}) [{Interpolation} in {Sobolev} function
spaces]",
journal = j-NUM-MATH,
volume = "13",
number = "4",
pages = "334--343",
month = aug,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Dirschmid:1969:BAG,
author = "H. J. Dirschmid",
title = "{Bemerkungen zu einer Arbeit von G. Polya zur
Bestimmung der Nullstellen ganzer Funktionen}.
({German}) [{Comment} on a work by {G. Polya} for
Determining Zeros of Real Functions]",
journal = j-NUM-MATH,
volume = "13",
number = "4",
pages = "344--348",
month = aug,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Soukup:1969:MFR,
author = "Ji{\v{r}}{\'\i} Soukup",
title = "A method for finding the roots of a polynomial",
journal = j-NUM-MATH,
volume = "13",
number = "4",
pages = "349--353",
month = aug,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Strassen:1969:GEO,
author = "Volker Strassen",
title = "{Gaussian} Elimination is Not Optimal",
journal = j-NUM-MATH,
volume = "13",
number = "4",
pages = "354--356",
month = aug,
year = "1969",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02165411",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "The author shows that matrix multiplication can be
done with fewer than $4.7 \times n^{\log_2 7} \approx
4.7 \times n^{2.807}$ arithmetic operations, and that
Gaussian elimination and matrix inversion can be done
with $O(n^{\log_2 7}$ arithmetic operations.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Davis:1969:NIL,
author = "Joel Davis and Jerome J. Jacoby",
title = "Numerical integration of linear integral equations
with mild discontinuity",
journal = j-NUM-MATH,
volume = "13",
number = "4",
pages = "357--361",
month = aug,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stewart:1969:AOI,
author = "G. W. Stewart",
title = "Accelerating the orthogonal iteration for the
eigenvectors of a {Hermitian} matrix",
journal = j-NUM-MATH,
volume = "13",
number = "4",
pages = "362--376",
month = aug,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Taylor:1969:GSR,
author = "P. J. Taylor",
title = "A generalisation of systematic relaxation methods for
consistently ordered matrices",
journal = j-NUM-MATH,
volume = "13",
number = "5",
pages = "377--395",
month = oct,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Hadjidimos:1969:SHA,
author = "Apostolos Hadjidimos",
title = "On some high accuracy difference schemes for solving
elliptic equations",
journal = j-NUM-MATH,
volume = "13",
number = "5",
pages = "396--403",
month = oct,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bareiss:1969:NSL,
author = "Erwin H. Bareiss",
title = "Numerical Solution of Linear Equations with {Toeplitz}
and Vector {Toeplitz} Matrices",
journal = j-NUM-MATH,
volume = "13",
number = "5",
pages = "404--424",
month = oct,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/chirplet.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Nichols:1969:GCO,
author = "Nancy K. Nichols and L. Fox",
title = "Generalised consistent ordering and the optimum
successive overrelaxation factor",
journal = j-NUM-MATH,
volume = "13",
number = "5",
pages = "425--433",
month = oct,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Natterer:1969:NBS,
author = "Frank Natterer",
title = "{Numerische Behandlung singul{\"a}rer
Sturm--Liouville-Probleme}. ({German}) [{Numerical
treatment of singular Sturm--Liouville problems}]",
journal = j-NUM-MATH,
volume = "13",
number = "5",
pages = "434--447",
month = oct,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Symm:1969:CMD,
author = "George T. Symm",
title = "Conformal mapping of doubly-connected domains",
journal = j-NUM-MATH,
volume = "13",
number = "5",
pages = "448--457",
month = oct,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stewart:1969:SIF,
author = "G. W. Stewart",
title = "Some iterations for factoring a polynomial",
journal = j-NUM-MATH,
volume = "13",
number = "5",
pages = "458--470",
month = oct,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Jan 13 08:40:53 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Householder:1969:CSI,
author = "A. S. Householder and G. W. Stewart",
title = "Comments on {``Some iterations for factoring a
polynomial''}",
journal = j-NUM-MATH,
volume = "13",
number = "5",
pages = "470--471",
month = oct,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Jan 13 08:40:53 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
%%% Issue numbers, but still no months, first appeared with volume 14
%%% (1969).
@Article{Lyness:1969:GRM,
author = "J. N. Lyness and C. B. Moler",
title = "Generalized {Romberg} methods for integrals of
derivatives",
journal = j-NUM-MATH,
volume = "14",
number = "1",
pages = "1--13",
month = dec,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{vanderSluis:1969:CNE,
author = "A. van der Sluis",
title = "Condition Numbers and Equilibration of Matrices",
journal = j-NUM-MATH,
volume = "14",
number = "1",
pages = "14--23",
month = dec,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/par.lin.alg.bib; Theory/Matrix.bib",
fjournal = "Numerische Mathematik",
keywords = "condition; lsq; nla; pert; scaling",
}
@Article{Hoffman:1969:TNT,
author = "Karl-Heinz Hoffman",
title = "{Zur Theorie der nichtlinearen
Tschebyscheff-Approximation mit Nebenbedingungen}.
({German}) [{Toward} a Theory of Nonlinear {Chebyshev}
Approximation with Constraints]",
journal = j-NUM-MATH,
volume = "14",
number = "1",
pages = "24--41",
month = dec,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 09:48:04 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Zlamal:1969:SFE,
author = "Milo{\v{s}} Zl{\'a}mal",
title = "On some finite element procedures for solving second
order boundary value problems",
journal = j-NUM-MATH,
volume = "14",
number = "1",
pages = "42--48",
month = dec,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Marek:1969:NBS,
author = "Ivo Marek and Richard S. Varga",
title = "Nested bounds for the spectral radius",
journal = j-NUM-MATH,
volume = "14",
number = "1",
pages = "49--70",
month = dec,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Taylor:1969:AFH,
author = "G. D. Taylor",
title = "Approximation by functions having restricted ranges:
{Equality} case",
journal = j-NUM-MATH,
volume = "14",
number = "1",
pages = "71--78",
month = dec,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{vanWijngaarden:1969:RAL,
author = "A. van Wijngaarden and B. J. Mailloux and J. E. L.
Peck and C. H. A. Koster",
title = "Report on the Algorithmic Language {ALGOL 68}",
journal = j-NUM-MATH,
volume = "14",
number = "2",
pages = "79--218",
month = dec,
year = "1969",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02163002",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Fri Oct 31 15:47:50 2003",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.fh-jena.de/~kleine/history/languages/Algol68-Report.pdf;
http://www.fh-jena.de/~kleine/history/languages/Algol68-RevisedReport.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Martin:1970:ARH,
author = "R. S. Martin and G. Peters and J. H. Wilkinson",
title = "The {$QR$} Algorithm for real {Hessenberg} matrices",
journal = j-NUM-MATH,
volume = "14",
number = "3",
pages = "219--231",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Jan 28 17:21:29 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 359--371]{Wilkinson:1971:LA}.",
fjournal = "Numerische Mathematik",
keywords = "eig; Hessenberg matrix; nla; QR algorithm; software",
}
@Article{Eberlein:1970:SCE,
author = "P. J. Eberlein",
title = "Solution to the complex eigenproblem by a norm
reducing {Jacobi} type method",
journal = j-NUM-MATH,
volume = "14",
number = "3",
pages = "232--245",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Jan 28 17:21:59 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/par.lin.alg.bib",
note = "Also in \cite[pp. 404--417]{Wilkinson:1971:LA}.",
fjournal = "Numerische Mathematik",
}
@Article{vanderSluis:1970:SSL,
author = "A. van der Sluis",
title = "Stability of Solutions of Linear Algebraic Systems",
journal = j-NUM-MATH,
volume = "14",
number = "3",
pages = "246--251",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Jan 28 17:22:11 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Jenkins:1970:TSV,
author = "M. A. Jenkins and J. F. Traub",
title = "A three-stage variable-shift iteration for polynomial
zeros and its relation to generalized {Rayleigh}
iteration",
journal = j-NUM-MATH,
volume = "14",
number = "3",
pages = "252--263",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 09:48:04 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bosarge:1970:IDM,
author = "W. E. {Bosarge, Jr.} and Peter L. Falb",
title = "Infinite dimensional multipoint methods and the
solution of two point boundary value problems",
journal = j-NUM-MATH,
volume = "14",
number = "3",
pages = "264--286",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:13:52 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Borsch-Supan:1970:RPN,
author = "Wolfgang B{\"o}rsch-Supan",
title = "{Residuenabsch{\"a}tzung f{\"u}r Polynom-Nullstellen
mittels Lagrange-Interpolation}. ({German}) [{Residue}
Bounds for Polynomial Zeros through {Lagrange}
Interpolation]",
journal = j-NUM-MATH,
volume = "14",
number = "3",
pages = "287--296",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:23:14 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Davis:1970:TY,
author = "Chandler Davis",
title = "On a theorem of {Yamamoto}",
journal = j-NUM-MATH,
volume = "14",
number = "3",
pages = "297--298",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:25:04 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schonhage:1970:MRI,
author = "Arnold Sch{\"o}nhage",
title = "{Mehrdimensionale Romberg-Integration}. ({German})
[{Multidimensional Romberg} Integration]",
journal = j-NUM-MATH,
volume = "14",
number = "3",
pages = "299--304",
month = feb,
year = "1970",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02163338",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:29:30 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
abstract = "Anders [1] showed, that the remainder term of
$n$-dimensional Romberg integration $T_{m,k}$ is of
order $O(4^{ km})$ for $k \to \inftyQ4. Here, by
induction over $n$ and the results [2] for $n = 1$$, an
explicit formula is derived, giving the precise
constants. It follows, that for $f$ continuous and $m +
k \to \infty$, the $T_{m,k}$ are converging to the
value of the integral.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Barrar:1970:CMN,
author = "Richard B. Barrar and Henry L. Loeb",
title = "On the convergence in measure of non-linear
{Chebyshev} approximations",
journal = j-NUM-MATH,
volume = "14",
number = "3",
pages = "305--312",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:29:53 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lode:1970:NNE,
author = "W. Lode",
title = "{Zum neuen Norm Entwurf DIN 1333 ``Abbrechen und
Runden von Dezimalzahlen''}. ({German}) [{Toward} a New
Standard Design {DIN 1333} ``Calculation and Rounding
in Decimal Numbers'']",
journal = j-NUM-MATH,
volume = "14",
number = "3",
pages = "313--316",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:30:54 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Christiansen:1970:NSO,
author = "Jan Christiansen",
title = "Numerical solution of ordinary simultaneous
differential equations of the $1$st order using a
method for automatic step change",
journal = j-NUM-MATH,
volume = "14",
number = "4",
pages = "317--324",
month = mar,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:34:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See erratum \cite{Christiansen:1970:ENS}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Pietrzykowski:1970:PMC,
author = "Tomasz Pietrzykowski",
title = "The potential method for conditional maxima in the
locally compact metric spaces",
journal = j-NUM-MATH,
volume = "14",
number = "4",
pages = "325--329",
month = mar,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Guenther:1970:NCF,
author = "R. B. Guenther and E. L. Roetman",
title = "{Newton--Cotes} formulae in $n$-dimensions",
journal = j-NUM-MATH,
volume = "14",
number = "4",
pages = "330--345",
month = mar,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Natterer:1970:SEG,
author = "Frank Natterer",
title = "{Schranken f{\"u}r die Eigenwerte gew{\"o}hnlicher
Differentialgleichungen durch Spline-Approximation}.
({German}) [{Bounds} for the Eigenvalue of Ordinary
Differential Equations by Spline Approximation]",
journal = j-NUM-MATH,
volume = "14",
number = "4",
pages = "346--354",
month = mar,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Jamet:1970:CFD,
author = "Pierre Jamet",
title = "On the convergence of finite-difference approximations
to one-dimensional singular boundary-value problems",
journal = j-NUM-MATH,
volume = "14",
number = "4",
pages = "355--378",
month = mar,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 09:48:04 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Fair:1970:PAO,
author = "Wyman Fair and Yudell L. Luke",
title = "{Pad{\'e}} approximations to the operator
exponential",
journal = j-NUM-MATH,
volume = "14",
number = "4",
pages = "379--382",
month = mar,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:13:52 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Hoffmann:1970:NTA,
author = "Karl-Heinz Hoffmann",
title = "{Nichtlineare Tschebyscheff-Approximation mit
Nebenbedingungen: Anwendungen}. ({German}) [{Nonlinear
Chebyshev} Approximation with Constraints: Use]",
journal = j-NUM-MATH,
volume = "14",
number = "4",
pages = "383--393",
month = mar,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:23:14 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Zlamal:1970:FEP,
author = "Milo{\v{s}} Zl{\'a}mal",
title = "A finite element procedure of the second order of
accuracy",
journal = j-NUM-MATH,
volume = "14",
number = "4",
pages = "394--402",
month = mar,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:35:04 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Golub:1970:SVD,
author = "G. H. Golub and C. Reinsch",
title = "Singular Value Decomposition and Least Squares
Solutions",
journal = j-NUM-MATH,
volume = "14",
number = "5",
pages = "403--420",
month = apr,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Jan 28 17:25:01 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/tex/bib/gvl.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/par.lin.alg.bib; Theory/Matrix.bib",
note = "Also in \cite[pp. 134--151]{Wilkinson:1971:LA}.",
fjournal = "Numerische Mathematik",
keywords = "lsq; nla; rank determination; regularization;
software; svd",
}
@Article{Bettis:1970:NIP,
author = "D. G. Bettis",
title = "Numerical integration of products of {Fourier} and
ordinary polynomials",
journal = j-NUM-MATH,
volume = "14",
number = "5",
pages = "421--434",
month = apr,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Jan 13 08:56:00 MST 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=421",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Campbell:1970:SAD,
author = "N. G. Campbell",
title = "Stability analysis of a difference scheme for the
{Navier--Stokes} equations",
journal = j-NUM-MATH,
volume = "14",
number = "5",
pages = "435--447",
month = apr,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Jan 13 08:56:00 MST 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=435",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Gorenflo:1970:NSD,
author = "Rudolf Gorenflo",
title = "{Nichtnegativit{\"a}ts-und substanzerhaltende
Differenzenschemata f{\"u}r lineare
Diffusionsgleichungen}. ({German}) [{Nonnegativity} and
substance-receiving difference patterns for linear
diffusion equations]",
journal = j-NUM-MATH,
volume = "14",
number = "5",
pages = "448--467",
month = apr,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Jan 13 08:56:00 MST 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=448",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Braess:1970:MKI,
author = "Dietrich Braess",
title = "{Eine M{\"o}glichkeit zur Konvergenzbeschleunigung bei
Iterationsverfahren f{\"u}r bestimmte nichtlineare
Probleme}. ({German}) [{A} possibility for convergence
acceleration of iterative methods for certain nonlinear
problems]",
journal = j-NUM-MATH,
volume = "14",
number = "5",
pages = "468--475",
month = apr,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Jan 13 08:56:00 MST 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=468",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Petry:1970:EEF,
author = "W. Petry",
title = "{Existenz und Eindeutigkeit f{\"u}r L{\"o}sungen
nichtlinearer Randwertprobleme}. ({German})
[{Existence} and uniqueness for solutions of nonlinear
boundary value problems]",
journal = j-NUM-MATH,
volume = "14",
number = "5",
pages = "476--494",
month = apr,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Jan 13 08:56:00 MST 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=476",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Svecoa:1970:BSC,
author = "H. {\v{S}}veco{\'a}",
title = "On the {Bauer}'s scaled condition number of matrices
arising from approximate conformal mapping",
journal = j-NUM-MATH,
volume = "14",
number = "5",
pages = "495--507",
month = apr,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Jan 13 08:56:00 MST 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=495",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Christiansen:1970:ENS,
author = "Jan Christiansen",
title = "Erratum: {{\em Numerical solution of ordinary
simultaneous differential equations of the $1$st order
using a method for automatic step change}}",
journal = j-NUM-MATH,
volume = "15",
number = "1",
pages = "v--v",
month = may,
year = "1970",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02165656",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See \cite{Christiansen:1970:NSO}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Shah:1970:TDP,
author = "Jayant M. Shah",
title = "Two-dimensional polynomial splines",
journal = j-NUM-MATH,
volume = "15",
number = "1",
pages = "1--14",
month = may,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Grigorieff:1970:KRE,
author = "Rolf Dieter Grigorieff",
title = "{Die Konvergenz des Rand- und Eigenwertproblems
linearer gew{\"o}hnlicher Differenzengleichungen}.
({German}) [{The convergence of boundary- and
eigenvalue problems of linear difference equations}]",
journal = j-NUM-MATH,
volume = "15",
number = "1",
pages = "15--48",
month = may,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Rund:1970:RCB,
author = "Hanno Rund",
title = "The reduction of certain boundary problems to
variational problems by means of transversality
conditions",
journal = j-NUM-MATH,
volume = "15",
number = "1",
pages = "49--56",
month = may,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Ruhe:1970:PMV,
author = "Axel Ruhe",
title = "Properties of a matrix with a very ill-conditioned
eigenproblem",
journal = j-NUM-MATH,
volume = "15",
number = "1",
pages = "57--60",
month = may,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stoss:1970:MED,
author = "Hanns-J{\"o}rg Sto{\ss}",
title = "{Monotonie-Eigenschaften bei Differentialungleichungen
{\"u}ber nichtkompaktem Grundbereich}. ({German})
[{Monotone} Eigenvalues of Differential Equations over
Noncompact Fields]",
journal = j-NUM-MATH,
volume = "15",
number = "1",
pages = "61--73",
month = may,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{vanderSluis:1970:CEP,
author = "A. van der Sluis",
title = "Condition, Equilibration and Pivoting in Linear
Algebraic Systems",
journal = j-NUM-MATH,
volume = "15",
number = "1",
pages = "74--86",
month = may,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Jan 28 17:25:09 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
fjournal = "Numerische Mathematik",
keywords = "condition; linear system; nla; pert; pivoting",
}
@Article{Ciarlet:1970:NMH,
author = "P. G. Ciarlet and F. Natterer and R. S. Varga",
title = "Numerical methods of high-order accuracy for singular
nonlinear boundary value problems",
journal = j-NUM-MATH,
volume = "15",
number = "2",
pages = "87--99",
month = jun,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:39:36 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schroder:1970:PIP,
author = "Johann Schr{\"o}der",
title = "Proving inverse-positivity of linear operators by
reduction",
journal = j-NUM-MATH,
volume = "15",
number = "2",
pages = "100--108",
month = jun,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:40:25 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schafke:1970:AEI,
author = "F. W. Sch{\"a}fke",
title = "{Zum Anwendungsbereich einiger Iterationsverfahren}.
({German}) [{On} the Application of an Iteration
Scheme]",
journal = j-NUM-MATH,
volume = "15",
number = "2",
pages = "109--121",
month = jun,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:40:55 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Wetterling:1970:DRE,
author = "W. Wetterling",
title = "{Definitheitsbedingungen f{\"u}r relative Extrema bei
Optimierungs- und Approximationsaufgaben}. ({German})
[{Definiteness} Conditions for Relative Extrema in
Optimization and Approximation Problems]",
journal = j-NUM-MATH,
volume = "15",
number = "2",
pages = "122--136",
month = jun,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:41:17 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Laurent:1970:GAC,
author = "P. J. Laurent and Pham-Dinh-Tuan",
title = "Global approximation of a compact set by elements of a
convex set in a normed space",
journal = j-NUM-MATH,
volume = "15",
number = "2",
pages = "137--150",
month = jun,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:42:32 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Urabe:1970:IOS,
author = "Minoru Urabe",
title = "An implicit one-step method of high-order accuracy for
the numerical integration of ordinary differential
equations",
journal = j-NUM-MATH,
volume = "15",
number = "2",
pages = "151--164",
month = jun,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:43:31 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Ehlich:1970:KMI,
author = "H. Ehlich and W. Haussmann",
title = "{Konvergenz mehrdimensionaler Interpolation}.
({German}) [{Convergence} of Multidimensional
Interpolation]",
journal = j-NUM-MATH,
volume = "15",
number = "2",
pages = "165--174",
month = jun,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:45:45 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Doring:1970:TVB,
author = "Boro D{\"o}ring",
title = "{Das Tschebyscheff-Verfahren in Banach-R{\"a}umen}.
({German}) [{Chebyshev's method in Banach spaces}]",
journal = j-NUM-MATH,
volume = "15",
number = "3",
pages = "175--195",
month = jul,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed May 28 21:45:35 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
corpsource = "Inst. Technic. Hochschule Darmstadt, West Germany",
fjournal = "Numerische Mathematik",
keywords = "Chebyshev approximation; nonlinear equations",
language = "German",
}
@Article{Grigorieff:1970:KGD,
author = "Rolf Dieter Grigorieff",
title = "{{\"U}ber die Koerzitivit{\"a}t gew{\"o}nlicher
Differenzenoperatoren und die Konvergenz von
Mehrschrittverfahren}. ({German}) [{On the coerciveness
of ordinary difference operators and the convergence of
multistep methods}]",
journal = j-NUM-MATH,
volume = "15",
number = "3",
pages = "196--218",
month = jul,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed May 28 21:45:38 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Univ. Frankfurt, West Germany",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; difference
equations",
language = "German",
}
@Article{Schaefer:1970:ANE,
author = "Helmut H. Schaefer",
title = "{Eine Absch{\"a}tzung der nichttrivialen Eigenwerte
stochastischer Matrizen}. ({German}) [{An}
Approximation of Nontrivial Eigenvalues of Stochastic
Matrices]",
journal = j-NUM-MATH,
volume = "15",
number = "3",
pages = "219--223",
month = jul,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Nitsche:1970:KNB,
author = "J. Nitsche",
title = "{Zur Konvergenz von N{\"a}herungsverfahren
bez{\"u}glich verschiedener Normen}. ({German}) [{On
the convergence of approximation processes with respect
to various norms}]",
journal = j-NUM-MATH,
volume = "15",
number = "3",
pages = "224--228",
month = jul,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed May 28 21:49:47 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; function
approximation; linear algebra",
language = "German",
}
@Article{Martensen:1970:RGQ,
author = "Erich Martensen",
title = "{Zur Restglieddartstellung der Gregoryschen
Quadraturformel ungerader Ordnung}. ({German}) [{On the
representation of the remainder of the {Gregory}
quadrature formula of an odd series}]",
journal = j-NUM-MATH,
volume = "15",
number = "3",
pages = "229--233",
month = jul,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed May 28 22:03:36 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
fjournal = "Numerische Mathematik",
keywords = "integration; numerical analysis",
language = "German",
}
@Article{Miklosko:1970:APC,
author = "Jozef Miklo{\v{s}}ko",
title = "Asymptotic properties and the convergence of numerical
quadratures",
journal = j-NUM-MATH,
volume = "15",
number = "3",
pages = "234--249",
month = jul,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4160 (Numerical integration and differentiation)",
corpsource = "Slovak Acad. Sci., SSSR, USSR",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; integration;
interpolation",
}
@Article{vanderSluis:1970:URP,
author = "A. van der Sluis",
title = "Upperbounds for roots of polynomials",
journal = j-NUM-MATH,
volume = "15",
number = "3",
pages = "250--262",
month = jul,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
fjournal = "Numerische Mathematik",
keywords = "nonlinear equations; numerical methods; poles and
zeros; polynomials",
}
@Article{Schmidt:1970:LMN,
author = "Jochen W. Schmidt and Klaus Vetters",
title = "{Ableitsungfreie Verfahren f{\"u}r nichtlineare
Optimierungsprobleme}. ({German}) [{Lossless method for
nonlinear optimization problem}]",
journal = j-NUM-MATH,
volume = "15",
number = "4",
pages = "263--282",
month = aug,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed May 28 22:05:21 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques); C4130 (Interpolation and function
approximation)",
corpsource = "Univ. Dresden, East Germany",
fjournal = "Numerische Mathematik",
keywords = "interpolation; nonlinear programming; optimisation",
language = "German",
}
@Article{Zenisek:1970:IPT,
author = "Alexander {\v{Z}}en{\'\i}{\v{s}}ek",
title = "Interpolation polynomials on the triangle",
journal = j-NUM-MATH,
volume = "15",
number = "4",
pages = "283--296",
month = aug,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Tech. Univ., Brno, Czechoslovakia",
fjournal = "Numerische Mathematik",
keywords = "interpolation; polynomials",
}
@Article{Stallmann:1970:NSI,
author = "Friedmann W. Stallmann",
title = "Numerical solution of integral equations",
journal = j-NUM-MATH,
volume = "15",
number = "4",
pages = "297--305",
month = aug,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4180 (Integral equations)",
corpsource = "Univ. Tennessee, TN, USA",
fjournal = "Numerische Mathematik",
keywords = "integral equations; numerical methods",
}
@Article{Stewart:1970:SIF,
author = "G. W. Stewart",
title = "On {Samelson}'s iteration for factoring polynomials",
journal = j-NUM-MATH,
volume = "15",
number = "4",
pages = "306--314",
month = aug,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4190 (Other numerical methods)",
corpsource = "Univ. Texas, Austin, TX, USA",
fjournal = "Numerische Mathematik",
keywords = "iterative methods; polynomials",
}
@Article{Baker:1970:EPI,
author = "Christopher T. H. Baker",
title = "The error in polynomial interpolation",
journal = j-NUM-MATH,
volume = "15",
number = "4",
pages = "315--319",
month = aug,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
corpsource = "Univ. Manchester, UK",
fjournal = "Numerische Mathematik",
keywords = "error analysis; interpolation; polynomials",
}
@Article{Rakotch:1970:EEN,
author = "E. Rakotch and J. Steinberg",
title = "Error estimate for the numerical solution of
{Fredholm}'s integral equation",
journal = j-NUM-MATH,
volume = "15",
number = "4",
pages = "320--328",
month = aug,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4180
(Integral equations)",
corpsource = "Dept. Computer Sci., Haifa, Israel",
fjournal = "Numerische Mathematik",
keywords = "error analysis; integral equations; numerical
methods",
}
@Article{vonFinckenstein:1970:PWM,
author = "Karl Graf Finck von Finckenstein",
title = "{Potenzbeschr{\"a}nktheit und Wertebereich einer
Matrix}. ({German}) [{Potency} Limitation and Ranges of
a Matrix]",
journal = j-NUM-MATH,
volume = "15",
number = "4",
pages = "329--332",
month = aug,
year = "1970",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02165124",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Lyness:1970:RTD,
author = "J. N. Lyness and B. J. J. McHugh",
title = "On the remainder term in the {$N$}-dimensional {Euler
Maclaurin} expansion",
journal = j-NUM-MATH,
volume = "15",
number = "4",
pages = "333--344",
month = aug,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Argonne Nat. Lab., IL, USA",
fjournal = "Numerische Mathematik",
keywords = "integration",
}
@Article{deOliveira:1970:NIC,
author = "G. N. de Oliveira",
title = "Note on an inverse characteristic value problem",
journal = j-NUM-MATH,
volume = "15",
number = "4",
pages = "345--347",
month = aug,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Marsal:1970:ELI,
author = "D. Marsal",
title = "{Eingabelung der L{\"o}sungen von
Integralgleichungen}. ({German}) [{Bifurcation} of
solutions of integral equations]",
journal = j-NUM-MATH,
volume = "15",
number = "4",
pages = "348--350",
month = aug,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 09:48:04 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Mangasarian:1970:CSM,
author = "O. L. Mangasarian",
title = "A convergent splitting of matrices",
journal = j-NUM-MATH,
volume = "15",
number = "4",
pages = "351--353",
month = aug,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Univ. Wisconsin, WI, USA",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; matrix algebra",
}
@Article{Luther:1970:OCF,
author = "H. A. Luther and H. G. Sierra",
title = "On the optimal choice of fourth-order {Runge--Kutta}
formulas",
journal = j-NUM-MATH,
volume = "15",
number = "4",
pages = "354--358",
month = aug,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Texas A and M Univ., TX, USA",
fjournal = "Numerische Mathematik",
keywords = "differential equations; numerical methods;
optimisation; stability",
}
@Article{Lucas:1970:GS,
author = "Thomas R. Lucas",
title = "A generalization of {$L$}-splines",
journal = j-NUM-MATH,
volume = "15",
number = "5",
pages = "359--370",
month = sep,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
fjournal = "Numerische Mathematik",
keywords = "differentiation; splines (mathematics)",
}
@Article{Descloux:1970:NIH,
author = "J. Descloux",
title = "On the numerical integration of the heat equation",
journal = j-NUM-MATH,
volume = "15",
number = "5",
pages = "371--381",
month = sep,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "A0270 (Computational techniques); A4400 (Heat flow,
thermal and thermodynamic processes); A4725Q
(Convection and heat transfer); C4170 (Differential
equations)",
fjournal = "Numerische Mathematik",
keywords = "calculation; differential equations; heat conduction;
physics",
}
@Article{Barrar:1970:RAN,
author = "Richard B. Barrar and Henry L. Loeb",
title = "On the {Remez} algorithm for non-linear families",
journal = j-NUM-MATH,
volume = "15",
number = "5",
pages = "382--391",
month = sep,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods",
}
@Article{Lamprecht:1970:AFR,
author = "G{\'u}nther Lamprecht",
title = "{{\"U}ber die Abh{\"a}ngigkeit der Fehlerfunktion bei
der rationale $L_p$-Approximation von den Koeffizienten
des Nennerpolynoms bei minimalem Z{\"a}hlerpolynom}.
({German}) [{On the relation between the error function
with rational {$L_p$} approximation and the
coefficients of the denominator polynomial with minimum
numerator polynomial}]",
journal = j-NUM-MATH,
volume = "15",
number = "5",
pages = "392--403",
month = sep,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed May 28 22:23:28 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
fjournal = "Numerische Mathematik",
keywords = "function approximation",
language = "German",
}
@Article{Hertling:1970:APC,
author = "J{\"o}rg Hertling",
title = "Approximation of piecewise continuous functions by a
modification of piecewise {Hermite} interpolation",
journal = j-NUM-MATH,
volume = "15",
number = "5",
pages = "404--414",
month = sep,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
fjournal = "Numerische Mathematik",
keywords = "function approximation; interpolation",
}
@Article{Zettl:1970:VMF,
author = "G. Zettl",
title = "{Ein Verfahren zum Minimieren einer Funktion bei
eingeschr{\"a}nktem Variationsbereich der Parameter}.
({German}) [{A method for the minimization of a
function by a limited variation of parameters}]",
journal = j-NUM-MATH,
volume = "15",
number = "5",
pages = "415--432",
month = sep,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed May 28 22:25:03 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques)",
fjournal = "Numerische Mathematik",
keywords = "variational techniques",
language = "German",
}
@Article{Jerome:1970:LSM,
author = "Joseph W. Jerome",
title = "Linear self-adjoint multipoint boundary value problems
and related approximation schemes",
journal = j-NUM-MATH,
volume = "15",
number = "5",
pages = "433--449",
month = sep,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Northwestern Univ., Evanston, IL, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; differentiation; eigenvalues
and eigenfunctions",
}
@Article{Dubrulle:1970:SNI,
author = "A. Dubrulle",
title = "A short note on the implicit {$QL$} algorithm for
symmetric tridiagonal matrices",
journal = j-NUM-MATH,
volume = "15",
number = "5",
pages = "450--450",
month = sep,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 12:54:13 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "IBM Corp., Houston, TX, USA",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; iterative methods;
matrix algebra",
}
@Article{Howland:1970:CMS,
author = "James Lucien Howland and John Albert Senez",
title = "A constructive method for the solution of the
stability problem",
journal = j-NUM-MATH,
volume = "16",
number = "1",
pages = "1--7",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C1320 (Stability in control theory); C4140 (Linear
algebra)",
corpsource = "Univ. Ottawa, Ont., Canada",
fjournal = "Numerische Mathematik",
keywords = "Lyapunov methods; matrix algebra; numerical methods",
}
@Article{Marsaglia:1970:RCR,
author = "George Marsaglia",
title = "Regularities in congruential random number
generators",
journal = j-NUM-MATH,
volume = "16",
number = "1",
pages = "8--10",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C7890 (Other special applications of computing)",
corpsource = "Boeing Sci. Res. Labs., Seattle, WA, USA",
fjournal = "Numerische Mathematik",
keywords = "random number generation",
}
@Article{Cenacchi:1970:PNC,
author = "G. Cenacchi and A. de Matteis",
title = "Pseudo-random numbers for comparative {Monte Carlo}
calculations",
journal = j-NUM-MATH,
volume = "16",
number = "1",
pages = "11--15",
month = feb,
year = "1970",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02162402",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
abstract = "To compare the results of two slightly different
situations in a given problem solved by the Monte Carlo
method it is convenient to use the same random numbers
in both cases. To facilitate the reproducibility of the
random numbers used a method based on two pseudo-random
number generators may be adopted. In this paper the
method is discussed with reference to multiplicative
congruential generators, the influence of the initial
value on a random sequence obtained by a given
multiplier being examined first.",
acknowledgement = ack-nhfb,
classification = "C1140G (Monte Carlo methods); C7890 (Other special
applications of computing)",
corpsource = "CNEN, Bologna, Italy",
fjournal = "Numerische Mathematik",
keywords = "Monte Carlo methods; random number generation",
}
@Article{Rowland:1970:SBD,
author = "John H. Rowland and James A. O'Donnell",
title = "Some bounds for the deviation and interpolation points
in {Chebyshev} approximation",
journal = j-NUM-MATH,
volume = "16",
number = "1",
pages = "16--21",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Univ. Wyoming, Laramie, WY, USA",
fjournal = "Numerische Mathematik",
keywords = "function approximation; interpolation",
}
@Article{Johnston:1970:CBI,
author = "R. L. Johnston and B. T. Smith",
title = "Calculation of best isolated {Gerschgorin} discs",
journal = j-NUM-MATH,
volume = "16",
number = "1",
pages = "22--31",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Bittner:1970:SRT,
author = "L. Bittner",
title = "Some representation theorems for functions and sets
and their application to nonlinear programming",
journal = j-NUM-MATH,
volume = "16",
number = "1",
pages = "32--51",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques)",
corpsource = "Ernst-Moritz-Arndt-Univ., Greifswald, East Germany",
fjournal = "Numerische Mathematik",
keywords = "nonlinear programming",
}
@Article{Daniel:1970:SGC,
author = "James W. Daniel",
title = "A simple, global, complementary variational
principle",
journal = j-NUM-MATH,
volume = "16",
number = "1",
pages = "52--57",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Cranley:1970:RMM,
author = "R. Cranley and T. N. L. Patterson",
title = "A regression method for the {Monte Carlo} evaluation
of multidimensional integrals",
journal = j-NUM-MATH,
volume = "16",
number = "1",
pages = "58--72",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:37:06 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Deutsch:1970:MN,
author = "Emeric Deutsch",
title = "Matricial norms",
journal = j-NUM-MATH,
volume = "16",
number = "1",
pages = "73--84",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:37:38 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Martin:1970:ABS,
author = "R. S. Martin and C. Reinsch and J. H. Wilkinson",
title = "The {$QR$} algorithm for band symmetric matrices",
journal = j-NUM-MATH,
volume = "16",
number = "2",
pages = "85--92",
month = nov,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See also \cite[pp.~266--272]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Nat. Phys. Lab., Teddington, UK",
fjournal = "Numerische Mathematik",
keywords = "eigenvalues and eigenfunctions and matrix algebra",
}
@Article{Jamet:1970:MRN,
author = "P. Jamet and P. Lascaux and P.-A. Raviart",
title = "Une m{\'e}thode de r{\'e}solution num{\'e}rique des
{\'e}quations de {Navier--Stokes}. ({French}) [{A}
method of numerical solution of the {Navier--Stokes}
equations]",
journal = j-NUM-MATH,
volume = "16",
number = "2",
pages = "93--114",
month = nov,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
fjournal = "Numerische Mathematik",
keywords = "convergence; convergence of numerical methods; Courant
Friedrichs criteria; explicit decentered differences;
linearisation; Navier Stokes equations; nonlinear terms
discretisation; numerical methods; numerical solution;
optimal stability; partial differential equations;
stability",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Ciarlet:1970:DVG,
author = "P. G. Ciarlet and R. S. Varga",
title = "Discrete variational {Green}'s function",
journal = j-NUM-MATH,
volume = "16",
number = "2",
pages = "115--128",
month = nov,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Gaier:1970:SSA,
author = "Dieter Gaier",
title = "{Saturation bei Spline-Approximation und Quadratur}.
({German}) [{Saturation in spline approximation and
quadrature}]",
journal = j-NUM-MATH,
volume = "16",
number = "2",
pages = "129--140",
month = nov,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed May 28 22:39:16 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
fjournal = "Numerische Mathematik",
keywords = "approximated function; divergence; function
approximation; polynomials; quadrature; saturation;
spline approximation; splines (mathematics)",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Householder:1970:NGI,
author = "Alston S. Householder and Richard S. Varga and James
H. Wilkinson",
title = "A note on {Gerschgorin}'s inclusion theorem for
eigenvalues of matrices",
journal = j-NUM-MATH,
volume = "16",
number = "2",
pages = "141--144",
month = nov,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Univ. Tennessee, Knoxville, TN, USA",
fjournal = "Numerische Mathematik",
keywords = "eigenvalues and eigenfunctions; matrix algebra",
}
@Article{Brent:1970:EAA,
author = "R. P. Brent",
title = "Error Analysis of Algorithms for Matrix Multiplication
and Triangular Decomposition Using {Winograd}'s
Identity",
journal = j-NUM-MATH,
volume = "16",
number = "2",
pages = "145--156",
month = nov,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/par.lin.alg.bib; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
annote = "Cited in \cite{high:89b}",
classification = "C4140 (Linear algebra)",
corpsource = "Stanford Univ., CA, USA",
fjournal = "Numerische Mathematik",
keywords = "digital arithmetic; error analysis; fast algorithm;
matrix algebra; matrix multiplication; nla; rounding
error",
}
@Article{Allgower:1970:CPD,
author = "E. L. Allgower",
title = "Criteria for positive definiteness of some band
matrices",
journal = j-NUM-MATH,
volume = "16",
number = "2",
pages = "157--162",
month = nov,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Colorado State Univ., CO, USA",
fjournal = "Numerische Mathematik",
keywords = "matrix algebra",
}
@Article{Lebaud:1970:LDA,
author = "Colette Lebaud",
title = "{L}'Algorithm double {$QR$} avec $<<$shift$>>$.
({French}) [{The} double {$QR$} algorithm with
`shift']",
journal = j-NUM-MATH,
volume = "16",
number = "2",
pages = "163--180",
month = nov,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
fjournal = "Numerische Mathematik",
keywords = "matrix algebra",
language = "French",
}
@Article{Peters:1970:ERC,
author = "G. Peters and J. H. Wilkinson",
title = "Eigenvectors of Real and Complex Matrices by {$LR$}
and {$QR$} Triangularization",
journal = j-NUM-MATH,
volume = "16",
number = "3",
pages = "181--204",
month = dec,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 372--395]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
fjournal = "Numerische Mathematik",
keywords = "complex matrix; eig; eigenvalues and eigenfunctions;
matrix algebra; nla; nonsymmetric matrix; software",
}
@Article{Rutishauser:1970:SIM,
author = "H. Rutishauser",
title = "Simultaneous iteration method for symmetric matrices",
journal = j-NUM-MATH,
volume = "16",
number = "3",
pages = "205--223",
month = dec,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "Also in \cite[pp. 284--302]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
fjournal = "Numerische Mathematik",
keywords = "eigenvalues and eigenfunctions; iterative methods;
matrix algebra",
}
@Article{Fritsch:1970:NNS,
author = "F. N. Fritsch",
title = "On the number of nodes in self-contained integration
formulas of degree two for compact planar regions",
journal = j-NUM-MATH,
volume = "16",
number = "3",
pages = "224--230",
month = dec,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
fjournal = "Numerische Mathematik",
keywords = "integration",
}
@Article{Chow:1970:NSL,
author = "T. S. Chow and H. W. Milnes",
title = "Numerical solution of {Laplace} equation for annular
region",
journal = j-NUM-MATH,
volume = "16",
number = "3",
pages = "231--242",
month = dec,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
fjournal = "Numerische Mathematik",
keywords = "numerical analysis; partial differential equations",
}
@Article{Bacopoulos:1970:ASC,
author = "Alex Bacopoulos",
title = "On approximation by sums of {Chebyshev} norms",
journal = j-NUM-MATH,
volume = "16",
number = "3",
pages = "243--247",
month = dec,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
fjournal = "Numerische Mathematik",
keywords = "Chebyshev approximation",
}
@Article{Meyer:1970:FIP,
author = "G. H. Meyer",
title = "On a free interface problem for linear ordinary
differential equations and the one-phase {Stefan}
problem",
journal = j-NUM-MATH,
volume = "16",
number = "3",
pages = "248--267",
month = dec,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; linear differential
equations; numerical methods",
}
@Article{Curtis:1970:EOR,
author = "A. R. Curtis",
title = "An eighth order {Runge--Kutta} process with eleven
function evaluations per step",
journal = j-NUM-MATH,
volume = "16",
number = "3",
pages = "268--277",
month = dec,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
fjournal = "Numerische Mathematik",
keywords = "linear differential equations; predictor-corrector
methods",
}
@Article{Ferreira:1970:ZMH,
author = "Erasmo M. Ferreira and Javier Sesma",
title = "Zeros of the modified {Hankel} function",
journal = j-NUM-MATH,
volume = "16",
number = "3",
pages = "278--284",
month = dec,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
fjournal = "Numerische Mathematik",
keywords = "poles and zeros",
}
@Article{Bittner:1971:AVH,
author = "L. Bittner",
title = "{Absch{\"a}tzungen bei Variationsmethoden mit Hilfe
von Dualit{\"a}tss{\"a}tzen. II}. ({German}) [{Bounds}
of the Variational Method with the Aid of the Duality
Principle. {II}]",
journal = j-NUM-MATH,
volume = "16",
number = "4",
pages = "285--303",
month = jan,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Carasso:1971:LRN,
author = "Alfred Carasso",
title = "Long-range numerical solution of mildly non-linear
parabolic equations",
journal = j-NUM-MATH,
volume = "16",
number = "4",
pages = "304--321",
month = jan,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations); C4170
(Differential equations)",
corpsource = "Univ. New Mexico, Albuquerque, NM, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary value procedure; boundary-value problems;
convergence; convergence of numerical methods;
difference equations; error estimation; errors;
estimation theory; iterative methods; long range
numerical solution; mildly nonlinear parabolic
equations; nonlinear equations; steady state solution",
treatment = "T Theoretical or Mathematical",
}
@Article{Babuska:1971:EBF,
author = "Ivo Babu{\v{s}}ka",
title = "Error-bounds for finite element method",
journal = j-NUM-MATH,
volume = "16",
number = "4",
pages = "322--333",
month = jan,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods)",
corpsource = "Univ. Maryland, College Park, MD, USA",
fjournal = "Numerische Mathematik",
keywords = "Dirichlet problem; error bounds; error estimation;
errors; finite element methods; Hilher space; Laplace
equation; Lipschitz domain; norms; numerical methods;
solution approximation",
treatment = "T Theoretical or Mathematical",
}
@Article{Brown:1971:DTC,
author = "Kenneth M. Brown and William B. Gearhart",
title = "Deflation techniques for the calculation of further
solutions of a nonlinear system",
journal = j-NUM-MATH,
volume = "16",
number = "4",
pages = "334--342",
month = jan,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
corpsource = "Cornell Univ., Ithaca, NY, USA",
fjournal = "Numerische Mathematik",
keywords = "deflation technique; further solutions calculation;
minimisation; minimization; multiple root problems;
nonlinear equations; nonlinear system of equations;
numerical methods; theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Good:1971:CMN,
author = "I. J. Good and R. A. Gaskins",
title = "The centroid method of numerical integration",
journal = j-NUM-MATH,
volume = "16",
number = "4",
pages = "343--359",
month = jan,
year = "1971",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02165005",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
abstract = "The midpoint method of integration of a function of
one variable is perhaps the simplest method of
numerical integration, although it is often not
mentioned in textbooks. It is here generalized to any
number of dimensions and the generalization is called
thecentroid method. This again is a very simple method
and it can be conveniently used, for example, for the
integration of a function of several variables over any
non-pathological region. The numerical examples include
the integration of multinormal integrands.",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "State Univ., Blacksburg, VA, USA",
fjournal = "Numerische Mathematik",
keywords = "centroid method; integration; mid ordinate method;
multinormal integrands; multivariable function
integration; nonpathological region; numerical
integration",
treatment = "T Theoretical or Mathematical",
}
@Article{Businger:1971:MNS,
author = "P. A. Businger",
title = "Monitoring the numerical stability of {Gaussian}
elimination",
journal = j-NUM-MATH,
volume = "16",
number = "4",
pages = "360--361",
month = jan,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Bell Telephone Labs., Murray Hill, NJ, USA",
fjournal = "Numerische Mathematik",
keywords = "complete pivoting; computational work; Gaussian
elimination method; linear algebra; linear algebraic
equations; numerical difficulties realisation test;
numerical stability; partial pivoting; stability;
stability monitoring",
treatment = "T Theoretical or Mathematical",
}
@Article{Bramble:1971:BCL,
author = "J. H. Bramble and S. R. Hilbert",
title = "Bounds for a class of linear functionals with
applications to {Hermite} interpolation",
journal = j-NUM-MATH,
volume = "16",
number = "4",
pages = "362--369",
month = jan,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/o_ccd.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Cornell Univ., Ithaca, NY, USA",
fjournal = "Numerische Mathematik",
keywords = "bounds; estimation theorem; estimation theory;
function approximation; Hermite interpolation;
interpolation; linear functionals; N-dimensional
interpolation; polynomials; pure partial derivatives;
Sobolev spaces",
treatment = "T Theoretical or Mathematical",
}
@Article{Chawla:1971:EEN,
author = "M. M. Chawla",
title = "Estimating errors of numerical approximation for
analytic functions",
journal = j-NUM-MATH,
volume = "16",
number = "4",
pages = "370--374",
month = jan,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Householder:1971:GAS,
author = "A. S. Householder",
title = "Generalizations of an algorithm of {Sebasti{\~a}o e
Silva}",
journal = j-NUM-MATH,
volume = "16",
number = "4",
pages = "375--382",
month = jan,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 10:37:01 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Gotze:1971:RSG,
author = "H. G{\"o}tze and F. L. Bauer",
title = "{Robert Sauer, geb. 16.9.1898 -- gest. 22.8.1970}.
({German}) {Robert Sauer, born 16.9.1898 -- died
22.8.1970}",
journal = j-NUM-MATH,
volume = "16",
number = "4",
pages = "i--ii",
month = jan,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Kambo:1971:EBL,
author = "N. S. Kambo",
title = "Error bounds for the {Lobatto} and {Radau} quadrature
formulas",
journal = j-NUM-MATH,
volume = "16",
number = "5",
pages = "383--388",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Indian Inst. Technol., New Delhi, India",
fjournal = "Numerische Mathematik",
keywords = "analytic functions; error bounds; errors; integration;
numerical integration; quadrature formula",
treatment = "T Theoretical or Mathematical",
}
@Article{Kress:1971:ART,
author = "Rainer Kre{\ss}",
title = "{Ein ableitungsfreies Restglied f{\"u}r die
trigonometrische Interpolation periodischer
analytischer Funktionen}. ({German}) [{A
derivative-free residue for the trigonometric
interpolation of periodic analytic functions}]",
journal = j-NUM-MATH,
volume = "16",
number = "5",
pages = "389--396",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 20:33:47 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
fjournal = "Numerische Mathematik",
keywords = "analogous condition; convergence; convergence of
numerical methods; converges; derivative free residue;
exponentially; interpolation; interpolation residue;
mathematical techniques; periodic analytic functions;
polynomial; polynomials; series of quadratic forms;
trigonometric differentiation; trigonometric
interpolation; upper bound",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Clendenin:1971:MNQ,
author = "W. W. Clendenin",
title = "A method for numerical quadrature over an infinite
interval using systematically increasing mesh size",
journal = j-NUM-MATH,
volume = "16",
number = "5",
pages = "397--407",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation);
C4190 (Other numerical methods)",
corpsource = "Univ. California, Los Alamos, NM, USA",
fjournal = "Numerische Mathematik",
keywords = "computation of integrals; infinite interval;
integration; numerical integration; numerical methods;
numerical quadrature; quadrature formula; systematic
increase of mesh size",
treatment = "T Theoretical or Mathematical",
}
@Article{Young:1971:BOR,
author = "David M. Young",
title = "A bound for the optimum relaxation factor for the
successive overrelaxation method",
journal = j-NUM-MATH,
volume = "16",
number = "5",
pages = "408--413",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "65N05",
MRnumber = "45 6208",
MRreviewer = "N. Gastinel",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C4190 (Other
numerical methods)",
corpsource = "Univ. Texas, Austin, TX, USA",
fjournal = "Numerische Mathematik",
keywords = "bound for optimum relaxation factor; boundary value
problems; boundary-value problems; differential
equations; finite difference methods; linear systems;
numerical methods; numerical solution; self adjoint
differential equations; successive overrelaxation
method",
treatment = "T Theoretical or Mathematical",
}
@Article{Bartels:1971:SSM,
author = "Richard H. Bartels",
title = "A stabilization of the simplex method",
journal = j-NUM-MATH,
volume = "16",
number = "5",
pages = "414--434",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques); C4110 (Error analysis in numerical
methods)",
corpsource = "Univ. Texas, Austin, TX, USA",
fjournal = "Numerische Mathematik",
keywords = "computational stability; error analysis; linear
programming; round off error analysis; simplex method;
stability; stabilization",
treatment = "T Theoretical or Mathematical",
}
@Article{Medley:1971:NPJ,
author = "Helen I. Medley",
title = "A note on a paper of {Johnston} and {Smith}'s
concerning best isolated {Gerschgorin} disks",
journal = j-NUM-MATH,
volume = "16",
number = "5",
pages = "435--441",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Kent State Univ., OH, USA",
fjournal = "Numerische Mathematik",
keywords = "bound for eigenvalue; convergence of numerical
methods; eigenvalues and eigenfunctions; isolated
eigenvalues; isolated Gerschgorin disk; iterative
methods; matrix algebra; Newton's method",
}
@Article{Kiyono:1971:BCS,
author = "Takeshi Kiyono and Masaaki Shimasaki",
title = "Boundary contraction solution of the {Neumann} and
mixed boundary value problems of the {Laplace}
equation",
journal = j-NUM-MATH,
volume = "16",
number = "5",
pages = "442--450",
month = feb,
year = "1971",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02169153",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C4190 (Other
numerical methods)",
corpsource = "Kyoto Univ., Japan",
fjournal = "Numerische Mathematik",
keywords = "boundary contraction method; boundary-value problems;
differential equations; Laplace equation; mixed
boundary value problems; numerical methods; numerical
solution",
treatment = "T Theoretical or Mathematical",
}
@Article{Reinsch:1971:SSF,
author = "Christian H. Reinsch",
title = "Smoothing by spline functions. {II}",
journal = j-NUM-MATH,
volume = "16",
number = "5",
pages = "451--454",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; interpolation;
smoothing by spline functions; splines; splines
(mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Leipnik:1971:RCR,
author = "R. B. Leipnik",
title = "Rapidly convergent recursive solution of quadratic
operator equations",
journal = j-NUM-MATH,
volume = "17",
number = "1",
pages = "1--16",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Naval Weapons Center, China Lake, CA, USA",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; convergent recursive
solution; matrix algebra; quadratic operator
equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Oliver:1971:EEM,
author = "J. Oliver",
title = "The efficiency of extrapolation methods for numerical
integration",
journal = j-NUM-MATH,
volume = "17",
number = "1",
pages = "17--32",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:53:09 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Essex, UK",
fjournal = "Numerische Mathematik",
keywords = "analytical study; automatic evaluation; definite
integrals; extrapolation methods; integration;
numerical integration; numerical methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Alefeld:1971:AFP,
author = "G. Alefeld",
title = "{Anwendungen Des Fixpunktsatzes F{\"u}r
Pseudometrische R{\"a}ume In Der Intervallrechnung}.
({German}) [{Application of the fixed point theorem for
pseudo-metric space to interval computation}]",
journal = j-NUM-MATH,
volume = "17",
number = "1",
pages = "33--39",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
fjournal = "Numerische Mathematik",
keywords = "complex systems of equations; convergence; convergence
of numerical methods; fixed point theorem; integral
coefficients; interval computation; iterative methods;
iterative processes; matrix; matrix algebra;
pseudometric space",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Rowland:1971:IIP,
author = "John H. Rowland",
title = "Inequalities for the interpolation points in
{Chebyshev} approximation by polynomials",
journal = j-NUM-MATH,
volume = "17",
number = "1",
pages = "40--44",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:53:03 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Univ. Wyoming, Laramie, WY, USA",
fjournal = "Numerische Mathematik",
keywords = "Chebyshev approximation; inequalities; interpolation
points; polynomials",
treatment = "T Theoretical or Mathematical",
}
@Article{Thomee:1971:CNP,
author = "Vidar Thom{\'e}e",
title = "Convergence near plane boundaries of some elliptic
difference schemes",
journal = j-NUM-MATH,
volume = "17",
number = "1",
pages = "45--53",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Univ. G{\"o}teborg, Sweden",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; differential
equations; elliptic difference schemes; elliptic
differential equations; second order type",
treatment = "T Theoretical or Mathematical",
}
@Article{Roark:1971:ECI,
author = "A. L. Roark",
title = "On the eigenproblem for convolution integral
equations",
journal = j-NUM-MATH,
volume = "17",
number = "1",
pages = "54--61",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Willson:1971:UGM,
author = "A. N. {Willson, Jr.}",
title = "A useful generalization of the {$P_0$} matrix
concept",
journal = j-NUM-MATH,
volume = "17",
number = "1",
pages = "62--70",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Gastinel:1971:ENA,
author = "N. Gastinel",
title = "Sur l'extension de normes sur des alg{\`e}bres de
matrices. ({French}) [{On} the Extension of Norms on
Matrix Algebras]",
journal = j-NUM-MATH,
volume = "17",
number = "1",
pages = "71--83",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "French",
}
@Article{Ciarlet:1971:MTF,
author = "P. G. Ciarlet and C. Wagschal",
title = "Multipoint {Taylor} formulas and applications to the
finite element method",
journal = j-NUM-MATH,
volume = "17",
number = "1",
pages = "84--100",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:53:27 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C4190 (Other
numerical methods)",
corpsource = "Lab. Central des Ponts et Chauss{\'e}es, Paris,
France",
fjournal = "Numerische Mathematik",
keywords = "applications; differential equations; finite element
method; multipoint Taylor formulas; numerical methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Dieter:1971:EDS,
author = "U. Dieter and J. Ahrens",
title = "An exact determination of serial correlations of
pseudo-random numbers",
journal = j-NUM-MATH,
volume = "17",
number = "2",
pages = "101--123",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1971.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C7890 (Other special applications of computing)",
corpsource = "Univ. Karlsruhe, West Germany",
country = "D",
date = "00/00/00",
descriptors = "RNG; correlation;",
enum = "777",
fjournal = "Numerische Mathematik",
keywords = "linear congruential methods; random number generation;
serial correlations",
location = "PKI-OG: Li-Ord.Le",
references = "0",
revision = "21/04/91",
treatment = "T Theoretical or Mathematical",
}
@Article{Miranker:1971:DSB,
author = "W. L. Miranker",
title = "Difference schemes with best possible truncation
error",
journal = j-NUM-MATH,
volume = "17",
number = "2",
pages = "124--142",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "IBM, Yorktown Heights, NY, USA",
fjournal = "Numerische Mathematik",
keywords = "difference scheme; hyperbolic system; initial value
problem; numerical solution; partial differential
equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Kupka:1971:SRA,
author = "I. Kupka",
title = "{Simulation reeller Arithmetik und reeller Funktionen
in endlichen Mengen}. ({German}) [{Simulation of real
arithmetic and real functions in finite sets}]",
journal = j-NUM-MATH,
volume = "17",
number = "2",
pages = "143--152",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 20:38:39 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C1220 (Simulation, modelling and identification);
C4110 (Error analysis in numerical methods)",
corpsource = "Univ. Hamburg, West Germany",
fjournal = "Numerische Mathematik",
keywords = "error estimation; errors; estimation theory; finite
set; floating point arithmetic; real functions;
simulation",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Brezinski:1971:EAF,
author = "C. Brezinski",
title = "{\'E}tudes sur les $\epsilon$- et $\rho$-algorithmes.
({French}) [{Studies} on $\epsilon$ and
$\rho$-algorithms]",
journal = j-NUM-MATH,
volume = "17",
number = "2",
pages = "153--162",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4190 (Other numerical methods)",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; epsilon algorithm;
modification",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Brauer:1971:RPH,
author = "Alfred Brauer",
title = "A remark on the paper of {H. H. Schaefer,
``Absch{\"a}tzung der nichttrivialen Eigenwerte
stochastischer Matrizen}''",
journal = j-NUM-MATH,
volume = "17",
number = "2",
pages = "163--165",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Knauer:1971:USE,
author = "B. Knauer",
title = "{Untere Schranken f{\"u}r die Eigenwerte
positiv-definiter, selbstadjungierter Operatoren}.
({German}) [{Lower} Bounds for the Eigenvalues of
Positive Definite Selfadjoint Operators]",
journal = j-NUM-MATH,
volume = "17",
number = "2",
pages = "166--171",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 09:48:04 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Reimer:1971:UWP,
author = "Manfred Reimer",
title = "{Untersuchungen {\"u}ber das Wachstrum von
Potenzreihenabschnitten mit Anwendungen f{\"u}r das
Hornerschema}. ({German}) [{Investigations of the
growth of segments of polynomials with applications to
{Horner}'s scheme}]",
journal = j-NUM-MATH,
volume = "17",
number = "2",
pages = "172--178",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Fri May 30 07:31:39 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Univ. Dortmund, West Germany",
fjournal = "Numerische Mathematik",
keywords = "applications; Horner's scheme; interpolation;
investigation; polynomials; segments growth",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Dekker:1971:ASA,
author = "T. J. Dekker and J. F. Traub",
title = "An analysis of the shifted {$LR$} algorithm",
journal = j-NUM-MATH,
volume = "17",
number = "3",
pages = "179--188",
month = jun,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
corpsource = "Bell Telephone Labs., Murray Hill, NJ, USA",
fjournal = "Numerische Mathematik",
keywords = "analyze generalized shift strategies; eigenvalues;
generalizations of classical iterations; identity
matrix; iterative methods; lower triangular; matrix
algebra; matrix functions transform; nonlinear
equations; shifted LR algorithm; square matrix; upper
triangular",
treatment = "T Theoretical or Mathematical",
}
@Article{Paardekooper:1971:EAS,
author = "M. H. C. Paardekooper",
title = "An eigenvalue algorithm for skew-symmetric matrices",
journal = j-NUM-MATH,
volume = "17",
number = "3",
pages = "189--202",
month = jun,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Tilburg School Economics, Netherlands",
fjournal = "Numerische Mathematik",
keywords = "eigenvalue algorithm; eigenvalues and eigenfunctions;
eigenvalues and eigenvectors; elementary orthogonal
transformations; initial matrix; iterative methods;
Jacobi like algorithm; matrix algebra; Murnaghan form;
Murnaghan's canonical form; process constructs
iteratively; skew symmetric matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Tanabe:1971:PMS,
author = "Kunio Tanabe",
title = "Projection Method for Solving a Singular System of
Linear Equations and its Applications",
journal = j-NUM-MATH,
volume = "17",
number = "3",
pages = "203--214",
month = jun,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Inst. Statistical Math., Minatoku, Tokyo, Japan",
fjournal = "Numerische Mathematik",
keywords = "complex matrix; determines the affine space; Gaussian
elimination process; generalized inverse of a matrix;
iterative improvement; iterative method; iterative
methods; iterative procedure; Kaczmarz's method; linear
equations; linear system; linear systems; matrix
algebra; nla; projection method; singular system;
solving system of linear equations; square and
nonsingular",
treatment = "T Theoretical or Mathematical",
}
@Article{Wuytack:1971:NTR,
author = "L. Wuytack",
title = "A new technique for rational extrapolation to the
limit",
journal = j-NUM-MATH,
volume = "17",
number = "3",
pages = "215--221",
month = jun,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Gastinel:1971:CPM,
author = "N. Gastinel",
title = "Sur le calcul des produits de matrices. ({French})
[{Calculation} of the product of matrices]",
journal = j-NUM-MATH,
volume = "17",
number = "3",
pages = "222--229",
month = jun,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 09:48:04 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "French",
}
@Article{Kuttler:1971:FAE,
author = "James R. Kuttler",
title = "A finite-difference approximation for the eigenvalues
of the clamped plate",
journal = j-NUM-MATH,
volume = "17",
number = "3",
pages = "230--238",
month = jun,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "John Hopkins Univ., Silver Spring, MD, USA",
fjournal = "Numerische Mathematik",
keywords = "biharmonic operator; bounded region; clamped plate;
continuous eigenvalues and eigenvectors; convergence of
numerical methods; convergence of the discrete
eigenvalues and eigenvectors; difference operator of
Bramble; discrete eigenvalues and eigenvectors;
eigenproblem; eigenvalues; eigenvalues and
eigenfunctions; finite difference analogue; finite
difference approximation; perturbation technique",
treatment = "T Theoretical or Mathematical",
}
@Article{Anderssen:1971:SAE,
author = "R. S. Anderssen",
title = "A stability analysis for the extended {Kantorovich}
method applied to the torsion problem",
journal = j-NUM-MATH,
volume = "17",
number = "3",
pages = "239--246",
month = jun,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C1320 (Stability in control theory); C4130
(Interpolation and function approximation)",
corpsource = "Australian Nat. Univ., Canberra, Australia",
fjournal = "Numerische Mathematik",
keywords = "extended Kantorovich method; investigate numerically;
iterative methods; iterative procedure; numerical
methods; single term approximate variational
representation; stability; stability analysis;
stability result; torsion problem; unconditionally
stable",
treatment = "T Theoretical or Mathematical",
}
@Article{Bergman:1971:CCS,
author = "S. Bergman and J. G. Herriot",
title = "Computation of a class of subsonic flow patterns",
journal = j-NUM-MATH,
volume = "17",
number = "3",
pages = "247--252",
month = jun,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Burgmeier:1971:IET,
author = "J. W. Burgmeier and R. D. Russell and L. F. Shampine",
title = "Integral equations with transform kernels and the
eigenproblem {$K C x = \lambda x$}",
journal = j-NUM-MATH,
volume = "17",
number = "4",
pages = "253--267",
month = aug,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4180 (Integral equations)",
corpsource = "Univ. New Mexico, Albuquerque, NM, USA",
fjournal = "Numerische Mathematik",
keywords = "computational procedure; integral equations; matrix
eigenproblem",
treatment = "T Theoretical or Mathematical",
}
@Article{Bosarge:1971:ICS,
author = "W. E. {Bosarge, Jr.}",
title = "Iterative continuation and the solution of nonlinear
two-point boundary value problems",
journal = j-NUM-MATH,
volume = "17",
number = "4",
pages = "268--283",
month = aug,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4190 (Other numerical methods)",
corpsource = "IBM Sci. Centre, Houston, TX, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary value problems; boundary-value problems;
numerical methods; numerical solution",
treatment = "T Theoretical or Mathematical",
}
@Article{Schryer:1971:NMC,
author = "N. L. Schryer",
title = "{Newton}'s method for convex nonlinear elliptic
boundary value problems",
journal = j-NUM-MATH,
volume = "17",
number = "4",
pages = "284--300",
month = aug,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4190 (Other numerical methods)",
corpsource = "Bell Telephone Labs., Murray Hill, NY, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary value problem; boundary-value problems;
numerical methods; solution",
treatment = "T Theoretical or Mathematical",
}
@Article{Hadjidimos:1971:NSM,
author = "A. Hadjidimos",
title = "The numerical solution of a model problem biharmonic
equation by using extrapolated alternating direction
implicit methods",
journal = j-NUM-MATH,
volume = "17",
number = "4",
pages = "301--317",
month = aug,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Chatelin-Laborde:1971:PMH,
author = "Fran{\c{c}}oise Chatelin-Laborde",
title = "Perturbation d'une matrice hermitienne ou normale.
({French}) [{Perturbation} theory for {Hermitian}
(normal) matrix]",
journal = j-NUM-MATH,
volume = "17",
number = "4",
pages = "318--337",
month = aug,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Inst. Math. Appliqu{\'e}es, Grenoble, France",
fjournal = "Numerische Mathematik",
keywords = "eigen elements; eigenvalues and eigenfunctions; error
bounds; Hermitian (normal) matrix; matrix algebra",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Robert:1971:AEO,
author = "J. Robert",
title = "Approximations des espace d'{Orlicz} et applications.
({French}) [{Approximations} of {Orlicz} spaces and
their applications]",
journal = j-NUM-MATH,
volume = "17",
number = "4",
pages = "338--356",
month = aug,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
fjournal = "Numerische Mathematik",
keywords = "applications; convergent approximations; exponential
type; function approximation; Hammerstein type;
integral equations; non linear integral equations;
Orlicz spaces; partial differential equations",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Braess:1971:CAS,
author = "Dietrich Braess",
title = "{Chebyshev} approximation by spline functions with
free knots",
journal = j-NUM-MATH,
volume = "17",
number = "5",
pages = "357--366",
month = oct,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
fjournal = "Numerische Mathematik",
keywords = "Chebyshev approximation; Descartes; Esch and Eastman;
Fitzgerald; Johnson; Karlin; Meinardus and Schwedt;
monosplines; spline functions; splines (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Hulme:1971:PPT,
author = "Bernie L. Hulme",
title = "Piecewise polynomial {Taylor} methods for initial
value problems",
journal = j-NUM-MATH,
volume = "17",
number = "5",
pages = "367--381",
month = oct,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Sandia Labs., Albuquerque, NM, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; continuous analytic
continuation; differentiability; differential
equations; error bounds; first order ordinary
differential equations; initial value problems;
Loscalzo; mean value theorem; numerical methods;
piecewise polynomial Taylor methods; polynomials;
stability analysis; Taylor expansion; Taylor expansion
method",
treatment = "T Theoretical or Mathematical",
}
@Article{Noda:1971:NCM,
author = "Takashi Noda",
title = "Note on the Computation of the Maximal Eigenvalue of a
Non-Negative Irreducible Matrix",
journal = j-NUM-MATH,
volume = "17",
number = "5",
pages = "382--386",
month = oct,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Hitachi Ltd., Kawasaki, Japan",
fjournal = "Numerische Mathematik",
keywords = "convergence; eigenvalues and eigenfunctions;
eigenvector; general matrices; iteration; iterative
methods; Jordan form; matrix algebra; maximal
eigenvalue; nonnegative irreducible matrix;
subdominant; Wielandt's method",
treatment = "T Theoretical or Mathematical",
}
@Article{Sreedharan:1971:LSA,
author = "V. P. Sreedharan",
title = "Least squares algorithms for finding solutions of
overdetermined linear equations which minimize error in
an abstract norm",
journal = j-NUM-MATH,
volume = "17",
number = "5",
pages = "387--401",
month = oct,
year = "1971",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01436088",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
corpsource = "Michigan State Univ., East Lansing, MI, USA",
fjournal = "Numerische Mathematik",
keywords = "abstract norm; best fit solutions l/sup p/ norms;
convergence; convergence of numerical methods; convex
norm; least squares algorithms; least squares
approximations; linear algebra; orthogonal projection;
overdetermined linear equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Natterer:1971:SNG,
author = "Frank Natterer",
title = "{Schranken f{\"u}r die Norm der Greenschen Funktion
gew{\"o}hnlicher Differentialoperatoren}. ({German})
[{Bounds} for the Norm of the {Green}'s Function of
Ordinary Differential Operators ]",
journal = j-NUM-MATH,
volume = "17",
number = "5",
pages = "402--408",
month = oct,
year = "1971",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01436089",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 10:42:59 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Joubert:1971:EDAa,
author = "G. R. Joubert",
title = "Explicit difference approximations of the
one-dimensional diffusion equation, using a smoothing
technique",
journal = j-NUM-MATH,
volume = "17",
number = "5",
pages = "409--430",
month = oct,
year = "1971",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01436090",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 10:42:59 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Kulisch:1971:AAR,
author = "U. Kulisch",
title = "An axiomatic approach to rounded computations",
journal = j-NUM-MATH,
volume = "18",
number = "1",
pages = "1--17",
month = feb,
year = "1971",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01398455",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
abstract = "The present paper is intended to give an axiomatic
approach to rounded computations. A rounding is defined
as a monotone mapping of an ordered set into a subset,
which in general is called a lower respectively an
upper screen. The first chapter deals with roundings in
ordered sets. In the second chapter further properties
of roundings in linearly ordered sets are studied. The
third chapter deals with the two most important
applications, the approximation of the real arithmetic
on a finite screen and the approximation of the real
interval arithmetic on an upper screen. Beyond these
examples various further applications are possible.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Joubert:1971:EDAb,
author = "G. R. Joubert",
title = "Explicit Difference Approximations of {Du
Fort--Frankel} Type for the One-Dimensional Diffusion
Equation",
journal = j-NUM-MATH,
volume = "18",
number = "1",
pages = "18--25",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Stewart:1971:COA,
author = "G. W. Stewart",
title = "On a companion operator for analytic functions",
journal = j-NUM-MATH,
volume = "18",
number = "1",
pages = "26--43",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:12:42 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Galimberti:1971:SCV,
author = "G. Galimberti and V. Pereyra",
title = "Solving Confluent {Vandermonde} Systems of {Hermite}
Type",
journal = j-NUM-MATH,
volume = "18",
number = "1",
pages = "44--60",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
annote = "Cited in \cite{govl:89}.",
fjournal = "Numerische Mathematik",
keywords = "linear system; nla; Vandermonde matrix",
}
@Article{Hoshino:1971:SPD,
author = "S. Hoshino and K. Ichida",
title = "Solution of partial differential equations by a
modified random walk",
journal = j-NUM-MATH,
volume = "18",
number = "1",
pages = "61--72",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Kyoto Univ., Japan",
fjournal = "Numerische Mathematik",
keywords = "difference equations; elliptic and parabolic partial
differential equations; given boundary values; modified
random walk; Monte Carlo methods; Monte Carlo
technique; partial differential equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Spijker:1971:SEE,
author = "M. N. Spijker",
title = "On the structure of error estimates for
finite-difference methods",
journal = j-NUM-MATH,
volume = "18",
number = "1",
pages = "73--100",
month = feb,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4170
(Differential equations)",
corpsource = "Univ. Leiden, Netherlands",
fjournal = "Numerische Mathematik",
keywords = "boundary values; differential equation; differential
equations; error analysis; error estimates; finite
difference methods; local round off error; numerical
solution; semilinear",
treatment = "T Theoretical or Mathematical",
}
@Article{Hertling:1971:NTS,
author = "J{\"o}rg Hertling",
title = "Numerical treatment of singular integral equations by
interpolation methods",
journal = j-NUM-MATH,
volume = "18",
number = "2",
pages = "101--112",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4180 (Integral equations)",
corpsource = "Tech. Hochschule Wien, Austria",
fjournal = "Numerische Mathematik",
keywords = "integral equations; interpolation; interpolation
methods; linear; numerical treatment; piecewise
polynomial interpolation; singular integral equations;
spline interpolation",
treatment = "T Theoretical or Mathematical",
}
@Article{Schafer:1971:KAL,
author = "Eugen Sch{\"a}fer",
title = "{Ein Konstruktionsverfahren bei allgemeiner linearer
Approximation}. ({German}) [{A construction method for
general linear approximation}]",
journal = j-NUM-MATH,
volume = "18",
number = "2",
pages = "113--126",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Univ. M{\"u}nchen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "construction method; function approximation;
geometrical interpretation; Haar subspace; linear
approximation; modification",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Spellucci:1971:DPA,
author = "P. Spellucci",
title = "Double precision approximations to the elementary
functions using {Jacobi}-fractions",
journal = j-NUM-MATH,
volume = "18",
number = "2",
pages = "127--143",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sat Oct 24 12:49:25 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C5230 (Digital arithmetic methods)",
corpsource = "Univ. Ulm, West Germany",
fjournal = "Numerische Mathematik",
keywords = "arctangent; Chebyshev approximation; Chebyshev best
fit approximations; cosine; digital arithmetic;
elementary functions; error propagation; exponential;
guard digits; natural logarithm; rational functions;
sine",
treatment = "T Theoretical or Mathematical",
}
@Article{Salzer:1971:FBE,
author = "Herbert E. Salzer",
title = "Formulas for best extrapolation",
journal = j-NUM-MATH,
volume = "18",
number = "2",
pages = "144--153",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
fjournal = "Numerische Mathematik",
keywords = "confluent formulas; extrapolation; function
approximation; interpolation; Lagrange Hermite; real
function",
treatment = "T Theoretical or Mathematical",
}
@Article{Lewin:1971:EPM,
author = "Mordechai Lewin",
title = "On exponents of primitive matrices",
journal = j-NUM-MATH,
volume = "18",
number = "2",
pages = "154--161",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Israel Inst. Technol., Haifa, Israel",
fjournal = "Numerische Mathematik",
keywords = "characterisation; exponents; matrix algebra; primitive
matrices; sharp bounds",
treatment = "T Theoretical or Mathematical",
}
@Article{Cooper:1971:EBN,
author = "G. J. Cooper",
title = "Error bounds for numerical solutions of ordinary
differential equations",
journal = j-NUM-MATH,
volume = "18",
number = "2",
pages = "162--170",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:12:42 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C7300 (Natural
sciences computing)",
corpsource = "Univ. Sussex, Brighton, UK",
fjournal = "Numerische Mathematik",
keywords = "approximation defect; differential equations;
eigenvalue; error analysis; error bounds; Jacobian
matrix; Lipschitz constant; matrix algebra; numerical
solutions; ordinary differential equations; Riccati
equation; step length",
treatment = "T Theoretical or Mathematical",
}
@Article{Carlson:1971:RAT,
author = "R. E. Carlson and C. A. Hall",
title = "{Ritz} approximations to two-dimensional boundary
value problems",
journal = j-NUM-MATH,
volume = "18",
number = "2",
pages = "171--181",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4180 (Integral equations)",
corpsource = "Westinghouse Bettis Atomic Power Lab., West Mifflin,
PA, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary value problems; boundary-value problems;
integral equations; partitioning; plane strain
elasticity; polygonal domain; Ritz approximations;
steady state heat flow; triangulation",
treatment = "T Theoretical or Mathematical",
}
@Article{Deutsch:1971:IDE,
author = "Eckart Deutsch and Christoph Zenger",
title = "Inclusion domains for the eigenvalues of stochastic
matrices",
journal = j-NUM-MATH,
volume = "18",
number = "2",
pages = "182--192",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Forschunginst. Funk and Math., Werthoven, West
Germany",
fjournal = "Numerische Mathematik",
keywords = "eigenvalues; eigenvalues and eigenfunctions; inclusion
domains; matrix algebra; stochastic matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Pomentale:1971:CIM,
author = "Tomaso Pomentale",
title = "A class of iterative methods for holomorphic
functions",
journal = j-NUM-MATH,
volume = "18",
number = "3",
pages = "193--203",
month = jun,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
corpsource = "CERN, Geneva, Switzerland",
fjournal = "Numerische Mathematik",
keywords = "descent property; holomorphic functions; iterative
methods; polynomial",
treatment = "T Theoretical or Mathematical",
}
@Article{Troch:1971:ISR,
author = "Inge Troch",
title = "{{\"U}ber die Stabilit{\"a}t der Ruhelage bei
Differentialgleichungen mit quasihomogenen rechten
Seiten}. ({German}) [{On the steady-state stability of
differential equations with quasi-homogeneous right
sides}]",
journal = j-NUM-MATH,
volume = "18",
number = "3",
pages = "204--212",
month = jun,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 20:42:12 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Tech. Hochschule, Wien, Austria",
fjournal = "Numerische Mathematik",
keywords = "criteria; differential equations; homogeneous right
sides; quasihomogeneous; stability criteria; steady
state stability",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Auslender:1971:MNP,
author = "A. Auslender",
title = "{M}{\'e}thodes num{\'e}riques pour la
d{\'e}composition et la minimisation de fonctions non
diff{\'e}rentiables. ({French}) [{Numerical} methods
for the decomposition and minimisation of
non-differentiable functions]",
journal = j-NUM-MATH,
volume = "18",
number = "3",
pages = "213--223",
month = jun,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques); C4190 (Other numerical methods)",
fjournal = "Numerische Mathematik",
keywords = "decomposition; Jacobi and Southwell method;
minimisation; nondifferentiable functions; numerical
methods; reflexive Banach spaces; successive
overrelaxation",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Dekker:1971:FPT,
author = "Theodorus J. Dekker",
title = "A Floating-Point Technique for Extending the Available
Precision",
journal = j-NUM-MATH,
volume = "18",
number = "3",
pages = "224--242",
month = jun,
year = "1971",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01397083",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "68A55",
MRnumber = "45 8056",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/par.lin.alg.bib",
URL = "http://www-gdz.sub.uni-goettingen.de/cgi-bin/digbib.cgi?PPN362160546_0018",
abstract = "A technique is described for expressing multilength
floating-point arithmetic in terms of singlelength
floating point arithmetic, i.e. the arithmetic for an
available (say: single or double precision)
floating-point number system. The basic algorithms are
exact addition and multiplication of two singlelength
floating-point numbers, delivering the result as a
doublelength floating-point number. A straight-forward
application of the technique yields a set of algorithms
for doublelength arithmetic which are given as ALGOL 60
procedures.",
acknowledgement = ack-nhfb # " and " # ack-nj,
classification = "C5230 (Digital arithmetic methods)",
corpsource = "Math. Centre, Amsterdam, Netherlands",
fjournal = "Numerische Mathematik",
keywords = "accurate floating-point summation; ALGOL 60
procedures; available precision; digital arithmetic;
double precision; multilength; single; single length
floating point arithmetic; subroutines",
remark = "Report MR 118/70, Computation Department, Mathematical
Centre, Amsterdam. Part of this research was done while
the author was visiting Bell Telephone Laboratories,
Murray Hill, New Jersey.",
treatment = "T Theoretical or Mathematical",
}
@Article{Prenter:1971:PS,
author = "P. M. Prenter",
title = "Piecewise {$L$}-splines",
journal = j-NUM-MATH,
volume = "18",
number = "3",
pages = "243--253",
month = jun,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Colorado State Univ., Fort Collins, CO, USA",
fjournal = "Numerische Mathematik",
keywords = "error estimates; extended error estimates; integral
relations; L-splines; linear differential operator;
normal linear differential operators; null space; one
variable; piecewise fits; spline functions; splines
(mathematics); uniformly bounded family",
treatment = "T Theoretical or Mathematical",
}
@Article{Cannon:1971:CIS,
author = "John J. Cannon",
title = "Computing the ideal structure of finite semigroups",
journal = j-NUM-MATH,
volume = "18",
number = "3",
pages = "254--266",
month = jun,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:12:42 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4220 (Automata theory)",
corpsource = "Univ. Sydney, NSW, Australia",
fjournal = "Numerische Mathematik",
keywords = "equivalence classes; finite automata; finite
semigroup; Green relations; ideal structure",
treatment = "T Theoretical or Mathematical",
}
@Article{Einarsson:1971:NTI,
author = "Bo Einarsson",
title = "Numerical treatment of integro-differential equations
with a certain maximum property",
journal = j-NUM-MATH,
volume = "18",
number = "3",
pages = "267--288",
month = jun,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C4180 (Integral
equations)",
corpsource = "Res. Inst. Nat. Defense, Tumba, Sweden",
fjournal = "Numerische Mathematik",
keywords = "discretization; error estimations; initial value
problem; integro-differential equations;
integrodifferential equations; logarithmic norm;
maximum norm; maximum points; maximum property;
numerical solution; ordinary differential equations;
space variable integration; time variable
differentiation; weighted Euclidean norm",
treatment = "T Theoretical or Mathematical",
}
@Article{Brown:1972:DFA,
author = "Kenneth M. Brown and J. E. {Dennis, Jr.}",
title = "Derivative free analogues of the
{Levenberg--Marquardt} and {Gauss} algorithms for
nonlinear least squares approximation",
journal = j-NUM-MATH,
volume = "18",
number = "4",
pages = "289--298",
month = aug,
year = "1972",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01404679",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
abstract = "In this paper we give two derivative-free
computational algorithms for nonlinear least squares
approximation. The algorithms are finite difference
analogues of the Levenberg-Marquardt and Gauss methods.
Local convergence theorems for the algorithms are
proven. In the special case when the residuals are zero
at the minimum, we show that certain computationally
simple choices of the parameters lead to quadratic
convergence. Numerical examples are included.",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Univ. Minnesota, Minneapolis, MN, USA",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; derivative free
analogues; finite difference analogues; Gauss method;
least squares approximations; Levenberg Marquardt
method; local convergence theorems; nonlinear least
squares approximation; quadratic convergence;
residuals; zero",
treatment = "T Theoretical or Mathematical",
}
@Article{King:1972:TMN,
author = "Richard F. King",
title = "Tangent methods for nonlinear equations",
journal = j-NUM-MATH,
volume = "18",
number = "4",
pages = "298--304",
month = aug,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
corpsource = "Argonne Nat. Lab., IL, USA",
fjournal = "Numerische Mathematik",
keywords = "alternate function; derivative values; hybrid methods;
Muller's method; nonlinear equations; numerical
methods; secant; tangent methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Gargantini:1972:CAD,
author = "Irene Gargantini and Peter Henrici",
title = "Circular arithmetic and the determination of
polynomial zeros",
journal = j-NUM-MATH,
volume = "18",
number = "4",
pages = "305--320",
month = aug,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/par.lin.alg.bib",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
corpsource = "Univ. Western Ontario, London, Ont., Canada",
fjournal = "Numerische Mathematik",
keywords = "circular arithmetic; cubically convergent algorithm;
determination; error bounds; extended complex plane;
interval arithmetic; locating zeros; logarithmic
derivative; M{\"o}bius transformations; Newton's
method; numerical methods; poles and zeros; polynomial
zeros; polynomials; simultaneous approximation;
transcendental functions",
treatment = "T Theoretical or Mathematical",
}
@Article{Barker:1972:MN,
author = "George Phillip Barker",
title = "Monotone norms",
journal = j-NUM-MATH,
volume = "18",
number = "4",
pages = "321--326",
month = aug,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Univ. Missouri, Kansas City, KS, USA",
fjournal = "Numerische Mathematik",
keywords = "dual; linear algebra; monotone norms; nonnegative
orthant; partially ordered finite dimensional real
spaces; subordinate matrix norm",
treatment = "T Theoretical or Mathematical",
}
@Article{Tsuda:1972:NDF,
author = "Takao Tsuda",
title = "Numerical differentiation of functions of very many
variables",
journal = j-NUM-MATH,
volume = "18",
number = "4",
pages = "327--335",
month = aug,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Kyoto Univ., Japan",
fjournal = "Numerische Mathematik",
keywords = "arbitrary points; differentiation; multidimensional
space; multivariable functions; nonlinear
interpolation; numerical differentiation; random
processes; random samplings",
treatment = "T Theoretical or Mathematical",
}
@Article{Schryer:1972:SMN,
author = "N. L. Schryer",
title = "Solution of monotone nonlinear elliptic boundary value
problems",
journal = j-NUM-MATH,
volume = "18",
number = "4",
pages = "336--344",
month = aug,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations); C4170
(Differential equations)",
corpsource = "Bell Telephone Labs. Inc., Murray Hill, NJ, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; descent technique; linear
uniformly elliptic second order operator; monotone
nonlinear elliptic boundary value problems; Newton's
method; nonlinear differential equations; partial
differential equations; quadratic convergence; sequence
of iterates",
treatment = "T Theoretical or Mathematical",
}
@Article{Riess:1972:EEC,
author = "R. D. Riess and L. W. Johnson",
title = "Error estimates for {Clenshaw--Curtis} quadrature",
journal = j-NUM-MATH,
volume = "18",
number = "4",
pages = "345--353",
month = aug,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4160
(Numerical integration and differentiation)",
corpsource = "Virginia Polytech. Inst., Blacksburg, VA, USA",
fjournal = "Numerische Mathematik",
keywords = "analytic; bounding; Chebyshev approximation; Chebyshev
polynomial; Clenshaw Curtis quadrature; closed formula;
elliptic disc; error analysis; error estimates;
integration; interpolation; low order continuity;
second kind; square integrable; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Hubner:1972:ZUG,
author = "Otto H{\"u}bner",
title = "{Zweiparametrige {\"U}berrelaxation}. ({German}) [{Two
parameter overrelaxation}]",
journal = j-NUM-MATH,
volume = "18",
number = "4",
pages = "354--366",
month = aug,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 20:43:14 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Justusliebig-Univ., Giessen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "convergence; convergence of numerical methods;
eigenvalues; matrix; matrix algebra; pure imaginary;
real; SOR; successive overrelaxation; two parameter
overrelaxation",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Pietrzykowski:1972:GPM,
author = "Tomasz Pietrzykowski",
title = "A generalization of the potential method for
conditional maxima on the {Banach}, reflexive spaces",
journal = j-NUM-MATH,
volume = "18",
number = "4",
pages = "367--372",
month = aug,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Univ. Waterloo, Ont., Canada",
fjournal = "Numerische Mathematik",
keywords = "Banach reflexive space; conditional maxima;
constrained maximum; convergence; convergence of
numerical methods; linear algebra; local nonsingular
maximum; locally concave functional; locally convex
set; potential method; unconstrained maxima",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1972:AFP,
author = "Walter Gautschi",
title = "Attenuation factors in practical {Fourier} analysis",
journal = j-NUM-MATH,
volume = "18",
number = "5",
pages = "373--400",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Purdue Univ., Lafayette, IN, USA",
fjournal = "Numerische Mathematik",
keywords = "2 pi periodic function; attenuation factors; Fourier
analysis; function approximation; interpolation;
linearity; piecewise polynomial; time honoured
procedure; translation invariance; trapezoidal rule
approximation",
treatment = "T Theoretical or Mathematical",
}
@Article{Rokne:1972:NMU,
author = "Jon Rokne",
title = "{Newton}'s method under mild differentiability
conditions with error analysis",
journal = j-NUM-MATH,
volume = "18",
number = "5",
pages = "401--412",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4170
(Differential equations)",
corpsource = "Univ. Calgan, Alta., Canada",
fjournal = "Numerische Mathematik",
keywords = "computational errors; convergence; convergence of
numerical methods; differential equations; error
analysis; Frechet derivative; Holder continuous;
majorizing sequences; mild differentiability
conditions; Newton's method; operator equations; second
order differential equation",
treatment = "T Theoretical or Mathematical",
}
@Article{Hadeler:1972:BGG,
author = "K. P. Hadeler",
title = "{Bemerkungen zum Gradientenverfahren}. ({German})
[{Remarks on gradient methods}]",
journal = j-NUM-MATH,
volume = "18",
number = "5",
pages = "413--422",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 20:44:19 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques); C4190 (Other numerical methods)",
corpsource = "Univ. Tubingen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "arbitrary initial values; convergence; convergence of
numerical methods; gradient; gradient methods; Hilbert
space; iterative methods; monotonicity theorems;
Newton; optimisation; steepest descent; unconstrained
optimization",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Werner:1972:FRI,
author = "Helmut Werner",
title = "{Eine faktorisierung der bei der rationalen
Interpolation auftretenden Matrizen}. ({German}) [{A
factorization of matrices occurring in rational
interpolation}]",
journal = j-NUM-MATH,
volume = "18",
number = "5",
pages = "423--431",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 20:48:19 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
corpsource = "Inst. Numerische Instrumentelle Mathematik,
M{\"u}nster, West Germany",
fjournal = "Numerische Mathematik",
keywords = "coefficients; explicit formula; factorization of
matrices; interpolation; matrix algebra; matrix
representation; numerical methods; rational
interpolation; Wetterling algorithm",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Sack:1972:FSR,
author = "R. A. Sack",
title = "A fully stable rational version of the {$QR$}
algorithm for tridiagonal matrices",
journal = j-NUM-MATH,
volume = "18",
number = "5",
pages = "432--441",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Univ. Salford, UK",
fjournal = "Numerische Mathematik",
keywords = "convergence criterion; convergence of numerical
methods; eigenvalue; eigenvalues and eigenfunctions;
iterations; iterative methods; matrix algebra;
perturbation estimation; precision; QR algorithm;
stability; tridiagonal matrices; virtual origin
shifts",
treatment = "T Theoretical or Mathematical",
}
@Article{Weiss:1972:PIM,
author = "R. Weiss and R. S. Anderssen",
title = "A product integration method for a class of singular
first kind {Volterra} equations",
journal = j-NUM-MATH,
volume = "18",
number = "5",
pages = "442--456",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4180 (Integral equations)",
corpsource = "Australian National Univ., Canberra, Australia",
fjournal = "Numerische Mathematik",
keywords = "convergence; convergence of numerical methods;
existence theorem of Kowalewski; integral equations;
kernels; Lipschitz continuous first derivative;
midpoint product integration method; product
integration method; singular first kind Volterra
equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Morris:1972:ITS,
author = "Wm. L. Morris",
title = "Inclusion theorems for a section of a matrix",
journal = j-NUM-MATH,
volume = "18",
number = "5",
pages = "457--464",
month = oct,
year = "1972",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01406682",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
abstract = "Theorems relating the eigensystem of a matrix to a
so-called section of the matrix are given. These
results are applicable in analysing a class of
algorithms to solve $A x = \lambda x$.",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Univ. Houston, TX, USA",
fjournal = "Numerische Mathematik",
keywords = "eigensystem; eigenvalues and eigenfunctions; inclusion
theorems; matrix; matrix algebra; numerical methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Sack:1972:AGQ,
author = "R. A. Sack and A. F. Donovan",
title = "An algorithm for {Gaussian} quadrature given modified
moments",
journal = j-NUM-MATH,
volume = "18",
number = "5",
pages = "465--478",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Salford, UK",
fjournal = "Numerische Mathematik",
keywords = "3 term recurrence relations; algebraic; ALGOL
procedure; Christoffel weights; co-diagonal matrix;
convergence; convergence of numerical methods;
eigenvalues; Gaussian quadrature; Given's method;
integration; long quotient modified difference
algorithm; modified moments; one dimensional product
integral; polynomials; weight function",
treatment = "T Theoretical or Mathematical",
}
@Article{Russell:1972:CMB,
author = "R. D. Russell and L. F. Shampine",
title = "A collocation method for boundary value problems",
journal = j-NUM-MATH,
volume = "19",
number = "1",
pages = "1--28",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Colorado State Univ., Fort Collins, CO, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary value problems; boundary-value problems;
collocation method; convergence; convergence of
numerical methods; piecewise polynomial functions",
treatment = "T Theoretical or Mathematical",
}
@Article{Amann:1972:NLN,
author = "Herbert Amann",
title = "{{\"U}ber die n{\"a}hrungswise L{\"o}sung
nichtlinearer Integralgleichungen}. ({German}) [{On the
approximate solution of nonlinear integral
equations}]",
journal = j-NUM-MATH,
volume = "19",
number = "1",
pages = "29--45",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 20:53:09 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4180 (Integral equations)",
corpsource = "Ruhr Univ., Bochum, West Germany",
fjournal = "Numerische Mathematik",
keywords = "approximate solution; Hammerstein; Hilbert space;
integral equations; iteration method; iterative
methods; Newton's method; nonlinear equations;
nonlinear integral equations",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Askey:1972:PCN,
author = "Richard Askey",
title = "Positivity of the {Cotes} numbers for some {Jacobi}
abscissas",
journal = j-NUM-MATH,
volume = "19",
number = "1",
pages = "46--48",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Wisconsin, Madison, WI, USA",
fjournal = "Numerische Mathematik",
keywords = "Cotes numbers; integration; Jacobi abscissas;
polynomials; positivity; quadrature schemes",
treatment = "T Theoretical or Mathematical",
}
@Article{vanderSluis:1972:RTQ,
author = "A. van der Sluis",
title = "The remainder term in quadrature formulae",
journal = j-NUM-MATH,
volume = "19",
number = "1",
pages = "49--55",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Rijksuniv. Utrecht, Netherlands",
fjournal = "Numerische Mathematik",
keywords = "integration; numerical methods; quadrature formulae;
remainder term; Simpson's rule; step size",
treatment = "T Theoretical or Mathematical",
}
@Article{Alefeld:1972:IZN,
author = "G. Alefeld and J. Herzberger",
title = "{Nullstelleneinschliessung Mit Dem Newton-Verfahren
Ohne Invertierung Von Intervallmatrizen}. ({German})
[{Including zeros of nonlinear equations by the Newton
method without inverting interval matrices}]",
journal = j-NUM-MATH,
volume = "19",
number = "1",
pages = "56--64",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
corpsource = "Univ. Karlsruhe, West Germany",
fjournal = "Numerische Mathematik",
keywords = "interval arithmetic; Newton method; nonlinear
equations; poles and zeros; zeros",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Lyche:1972:CMM,
author = "Tom Lyche",
title = "{Chebyshevian} multistep methods for ordinary
differential equations",
journal = j-NUM-MATH,
volume = "19",
number = "1",
pages = "65--75",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Univ. Texas, Austin, TX, USA",
fjournal = "Numerische Mathematik",
keywords = "Chebyshev approximation; Chebyshevian multistep
methods; differential equations; exact integration;
ordinary differential equations; smooth stepsize
dependent coefficients",
treatment = "T Theoretical or Mathematical",
}
@Article{Brenner:1972:PMS,
author = "J. L. Brenner and J. de Pillis",
title = "Partitioned matrices and {Seidel} convergence",
journal = j-NUM-MATH,
volume = "19",
number = "1",
pages = "76--80",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Univ. California, Riverside, CA, USA",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; iteration; iterative
methods; matrix algebra; partitioned matrices; proof;
Seidel convergence",
treatment = "T Theoretical or Mathematical",
}
@Article{Strang:1972:AFE,
author = "Gilbert Strang",
title = "Approximation in the finite element method",
journal = j-NUM-MATH,
volume = "19",
number = "1",
pages = "81--98",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "MIT, Cambridge, MA, USA",
fjournal = "Numerische Mathematik",
keywords = "approximation; convergence of numerical methods;
finite element method; function approximation; rate of
convergence",
treatment = "T Theoretical or Mathematical",
}
@Article{Blair:1972:EBS,
author = "J. J. Blair",
title = "Error bounds for the solution of nonlinear two-point
boundary value problems by {Galerkin}'s method",
journal = j-NUM-MATH,
volume = "19",
number = "2",
pages = "99--109",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4170
(Differential equations)",
corpsource = "EG and G Inc., Las Vegas, NV, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; differential equation;
elliptic differential operator; error analysis; error
bounds; Galerkin's method; nonlinear differential
equations; nonlinear two point boundary value problems;
numerical methods; polynomial spline trial functions",
treatment = "T Theoretical or Mathematical",
}
@Article{Carroll:1972:SAC,
author = "M. P. Carroll",
title = "Simultaneous {$L_1$} approximation of a compact set of
real-valued functions",
journal = j-NUM-MATH,
volume = "19",
number = "2",
pages = "110--115",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Rensselaer Polytech. Inst., Troy, NY, USA",
fjournal = "Numerische Mathematik",
keywords = "Chebyshev approximation; function approximation; L/sub
1/ compact set; polynomials; real valued functions;
simultaneous Chebyshev approximation; uniqueness
results",
treatment = "T Theoretical or Mathematical",
}
@Article{Antes:1972:SLI,
author = "Heinz Antes",
title = "{Splinefunktionen bei der L{\"o}sung von
Integralgleichungen}. ({German}) [{On the solution of
integral equations with spline functions}]",
journal = j-NUM-MATH,
volume = "19",
number = "2",
pages = "116--126",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 20:54:00 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4130
(Interpolation and function approximation); C4180
(Integral equations)",
corpsource = "T. H. Aachen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "error analysis; estimation; integral equations;
interpolation; interpolation spline; linear algebraic
equations; numerical error; numerical method; numerical
methods; spline functions; splines (mathematics)",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Fix:1972:FEA,
author = "G. Fix and N. Nassif",
title = "On finite element approximations to time-dependent
problems",
journal = j-NUM-MATH,
volume = "19",
number = "2",
pages = "127--135",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4170 (Differential equations)",
corpsource = "Harvard Univ., Cambridge, MA, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; difference quotients;
dissipative initial value problems; error analysis;
error bounds; error estimates; finite element
approximations; initial value Cauchy problem; numerical
methods; partial differential equations; spline
semidiscrete approximations; splines (mathematics);
time dependent problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Tissier:1972:IPV,
author = "Gilles Tissier",
title = "Interpolation {\`a} plusieurs variables sur la
sph{\`e}re. ({French}) [{Interpolation} with several
variables on the sphere]",
journal = j-NUM-MATH,
volume = "19",
number = "2",
pages = "136--145",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "IUT Depart. Informatique, Nancy, France",
fjournal = "Numerische Mathematik",
keywords = "approximation; error bounds; function approximation;
interpolation; periodic function; quadrature;
trigonometric functions",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Golitschek:1972:CIP,
author = "M. v. Golitschek",
title = "On the convergence of interpolating periodic spline
functions of high degree",
journal = j-NUM-MATH,
volume = "19",
number = "2",
pages = "146--154",
month = apr,
year = "1972",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01402525",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
abstract = "Let the spline function $S_m$ of degree $2 m 0 1$ and
period $1$ be the unique solution of the interpolation
problem in $\S 1$. An interesting question was posed by
Schoenberg [1], p. 125: What happens to $S_m$ if we let
$m \to \infty$? In this paper, we prove that the spline
functions $S_m$ and their derivatives converge for $m
\to \infty$ to a well determined trigonometric
polynomial and its derivatives. Estimates for the rate
of convergence are given.",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Univ. Wurzburg, West Germany",
fjournal = "Numerische Mathematik",
keywords = "convergence; convergence of numerical methods; high
degree; interpolating periodic spline functions;
interpolation; splines (mathematics); trigonometric
polynomial",
treatment = "T Theoretical or Mathematical",
}
@Article{Pierce:1972:HOC,
author = "J. G. Pierce and R. S. Varga",
title = "Higher order convergence results for the
{Rayleigh--Ritz} method applied to eigenvalue problems.
{II}. Improved error bounds for eigenfunctions",
journal = j-NUM-MATH,
volume = "19",
number = "2",
pages = "155--169",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Univ. Southern California, Los Angeles, CA, USA",
fjournal = "Numerische Mathematik",
keywords = "approximating; convergence of numerical methods;
eigenfunctions; eigenvalue problems; eigenvalues and
eigenfunctions; error analysis; error bounds; error
estimates; Galerkin approximation; higher order
convergence results; Rayleigh Ritz method; uniform
norms",
treatment = "T Theoretical or Mathematical",
}
@Article{Kellogg:1972:CEM,
author = "R. B. Kellogg",
title = "On compiles eigenvalues of {$M$} and {$P$} matrices",
journal = j-NUM-MATH,
volume = "19",
number = "2",
pages = "170--175",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Univ. Maryland, College Park, MD, USA",
fjournal = "Numerische Mathematik",
keywords = "complex eigenvalues; eigenvalues and eigenfunctions;
inequalities; M and P matrices; matrix algebra;
numerical methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Wilkinson:1972:NMV,
author = "J. H. Wilkinson",
title = "Note on matrices with a very ill-conditioned
eigenproblem",
journal = j-NUM-MATH,
volume = "19",
number = "2",
pages = "176--178",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Nat. Phys. Lab., Teddington, UK",
fjournal = "Numerische Mathematik",
keywords = "eigenvalues and eigenfunctions; eigenvectors; ill
conditioned eigenproblem; matrices; matrix algebra;
multiple eigenvalue; numerical methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Gaier:1972:EKM,
author = "Dieter Gaier",
title = "{Ermittlung des konformen Moduls von Vierecken mit
Differenzenmethoden}. ({German}) [{Determination of the
conformal modules of quadrilaterals by difference
methods}]",
journal = j-NUM-MATH,
volume = "19",
number = "2",
pages = "179--194",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4120 (Functional analysis)",
corpsource = "Univ. Giessen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "conformal modules; difference methods; Dirichlet
integral; discretely harmonic function; function
evaluation; mesh points; numerical methods;
quadrilaterals",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Beyer:1972:ECC,
author = "W. A. Beyer and M. S. Waterman",
title = "Ergodic computations with continued fractions and
{Jacobi}'s algorithm",
journal = j-NUM-MATH,
volume = "19",
number = "3",
pages = "195--205",
month = jun,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See errata \cite{Beyer:1972:EEC}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Lancaster:1972:NSM,
author = "P. Lancaster",
title = "A note on sub-multiplicative norms",
journal = j-NUM-MATH,
volume = "19",
number = "3",
pages = "206--208",
month = jun,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 09:48:04 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Zenger:1972:CSB,
author = "Christoph Zenger",
title = "A comparison of some bounds for the nontrivial
eigenvalues of stochastic matrices",
journal = j-NUM-MATH,
volume = "19",
number = "3",
pages = "209--211",
month = jun,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:13:52 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Steinberg:1972:NSV,
author = "J. Steinberg",
title = "Numerical solution of {Volterra} integral equation",
journal = j-NUM-MATH,
volume = "19",
number = "3",
pages = "212--217",
month = jun,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4180
(Integral equations)",
corpsource = "Technion, Israel Inst. Technol., Haifa, Israel",
fjournal = "Numerische Mathematik",
keywords = "asymptotic behaviour; error analysis; Gregory's
formula; integral equations; magnitude; numerical
methods; numerical solution; recursive inequalities;
second type; truncation error; Volterra integral
equation",
treatment = "T Theoretical or Mathematical",
}
@Article{Guderley:1972:BTC,
author = "K. G. Guderley and C. L. Keller",
title = "A basic theorem in the computation of ellipsoidal
error bounds",
journal = j-NUM-MATH,
volume = "19",
number = "3",
pages = "218--229",
month = jun,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Engels:1972:KND,
author = "Hermann Engels",
title = "{{\"U}ber Konvergenzkriterien f{\"u}r numerische
Differentiationsverfahren}. ({German}) [{On convergence
criteria for numerical differentiation procedures}]",
journal = j-NUM-MATH,
volume = "19",
number = "3",
pages = "230--237",
month = jun,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed May 28 22:42:12 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Kernforschungsanlage Julich GmbH, West Germany",
fjournal = "Numerische Mathematik",
keywords = "convergence criteria; convergence of numerical
methods; differentiation; necessary condition;
numerical differentiation procedures; pointwise
convergence; sufficient condition",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Johnston:1972:CIR,
author = "R. L. Johnston and D. D. Olesky",
title = "On the computation of inclusion regions for
partitioned matrices",
journal = j-NUM-MATH,
volume = "19",
number = "3",
pages = "238--247",
month = jun,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Atkinson:1972:NSF,
author = "Kendall Atkinson",
title = "The numerical solution of {Fredholm} integral
equations of the second kind with singular kernels",
journal = j-NUM-MATH,
volume = "19",
number = "3",
pages = "248--259",
month = jun,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4180 (Integral equations)",
corpsource = "Indiana Univ., Bloomington, IN, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary value problems; Fredholm integral equations;
integral equations; numerical methods; numerical
solution; product integration; second kind; singular
kernels",
treatment = "T Theoretical or Mathematical",
}
@Article{Hadeler:1972:BAW,
author = "K. P. Hadeler",
title = "{Bemerkungen zu einer Arbeit von W. Wetterling
{\"u}ber positive Operatoren}. ({German}) [{Remarks on
a work by W. Wetterling on positive operators}]",
journal = j-NUM-MATH,
volume = "19",
number = "3",
pages = "260--265",
month = jun,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:52:18 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Dailey:1972:EBG,
author = "J. W. Dailey and J. G. Pierce",
title = "Error bounds for the {Galerkin} method applied to
singular and nonsingular boundary value problems",
journal = j-NUM-MATH,
volume = "19",
number = "3",
pages = "266--282",
month = jun,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4170
(Differential equations)",
corpsource = "Kent State Univ., OH, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; differential equations; error
analysis; error bounds; Galerkin method; L/sup 2/;
N-norm projection; numerical methods; singular and
nonsingular boundary value problems; uniform norm error
estimates",
treatment = "T Theoretical or Mathematical",
}
@Article{Field:1972:PET,
author = "David A. Field and Willson B. Jones",
title = "{\em A priori\/} estimates for truncation error of
continued fractions {$K(1/b_n)$}",
journal = j-NUM-MATH,
volume = "19",
number = "4",
pages = "283--302",
month = aug,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C5230
(Digital arithmetic methods)",
corpsource = "Coll. Holy Cross, Worcester, MA, USA",
fjournal = "Numerische Mathematik",
keywords = "a priori estimates; complex elements; complex
logarithm; continued fractions; digital arithmetic;
error analysis; error estimates; K(1/b/sub n/);
numerical methods; ratio of consecutive Bessel
functions; truncation error",
treatment = "T Theoretical or Mathematical",
}
@Article{Robert:1972:NAA,
author = "F. Robert and J. F. Maitre",
title = "Normes et algorithmes associ{\'e}s {\`a} une
d{\'e}coupe de matrice (It{\'e}ration du principe de
{Gauss--Seidel}). ({French}) [{Norms} and algorithms
associated with a splitting of matrix (Iteration of the
{Gauss--Seidel} principle)]",
journal = j-NUM-MATH,
volume = "19",
number = "4",
pages = "303--325",
month = aug,
year = "1972",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01404878",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Univ. Lyon I, Villeurbanne, France",
fjournal = "Numerische Mathematik",
keywords = "coherent; compatible; convergence of iterations; Gauss
Seidel principle; iteration; iterative methods; matrix
algebra; norms; splitting of matrix",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Melkes:1972:RPB,
author = "Franti{\v{s}}ek Melkes",
title = "Reduced piecewise bivariate {Hermite} interpolations",
journal = j-NUM-MATH,
volume = "19",
number = "4",
pages = "326--340",
month = aug,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4170 (Differential equations); C4180 (Integral
equations)",
corpsource = "Res. and Dev. Inst., Brno, Czechoslovakia",
fjournal = "Numerische Mathematik",
keywords = "differential equations; elementary rectangle; general
quasilinear equation; integral equations;
interpolation; nonlinear integral equation; reduced
piecewise bivariate Hermite interpolations",
treatment = "T Theoretical or Mathematical",
}
@Article{Robinson:1972:ENM,
author = "Stephen M. Robinson",
title = "Extension of {Newton}'s method to nonlinear functions
with values in a cone",
journal = j-NUM-MATH,
volume = "19",
number = "4",
pages = "341--347",
month = aug,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4190 (Other numerical methods)",
corpsource = "Univ. Wisconsin, Madison, WI, USA",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; convergence results;
error analysis; error bounds; extension; Kantorovich
theorem; Newton's method; nonempty closed convex cone;
nonlinear functions; numerical methods; optimisation;
reflexive Banach space; values",
treatment = "T Theoretical or Mathematical",
}
@Article{Bereanu:1972:CCM,
author = "Bernard Bereanu",
title = "On the convergence of {Cartesian} multidimensional
quadrature formulae",
journal = j-NUM-MATH,
volume = "19",
number = "4",
pages = "348--350",
month = aug,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Center Math. Statistics, Acad. Bucharest, Romania",
fjournal = "Numerische Mathematik",
keywords = "Cartesian multidimensional quadrature formulae;
convergence; convergence of numerical methods;
integration",
treatment = "T Theoretical or Mathematical",
}
@Article{Gekeler:1972:MIL,
author = "Eckart Gekeler",
title = "{{\"U}ber mehrstufige Iterationsverfahren und die
L{\"o}sung der Hammersteinschen Gleichung}. ({German})
[{On several stage iterative methods and the solution
of the {Hammerstein} equations}]",
journal = j-NUM-MATH,
volume = "19",
number = "4",
pages = "351--360",
month = aug,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 20:20:09 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4180 (Integral equations)",
corpsource = "Univ. Mannheim, West Germany",
fjournal = "Numerische Mathematik",
keywords = "asymptotically optimal; Hammerstein equations;
integral equations; iterative methods; numerical
solution; several stage iterative methods; two step
iterative method",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Kemper:1972:LMM,
author = "Gene A. Kemper",
title = "Linear multistep methods for a class of functional
differential equations",
journal = j-NUM-MATH,
volume = "19",
number = "5",
pages = "361--372",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Iowa State Univ., Iowa City, IA, USA",
fjournal = "Numerische Mathematik",
keywords = "approximate solution; differential equations; fixed
delays; functional differential equations; functional
equations; linear multistep methods; variable delays",
treatment = "T Theoretical or Mathematical",
}
@Article{Paget:1972:ANE,
author = "D. F. Paget and David Elliott",
title = "An algorithm for the numerical evaluation of certain
{Cauchy} principal value integrals",
journal = j-NUM-MATH,
volume = "19",
number = "5",
pages = "373--385",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Tasmania, Hobart, Tas., Australia",
fjournal = "Numerische Mathematik",
keywords = "Cauchy principal value integrals; integration;
numerical evaluation",
treatment = "T Theoretical or Mathematical",
}
@Article{Brown:1972:IGR,
author = "H. Brown and J. Neub{\"u}ser and H. Zassenhaus",
title = "On integral groups. {I}: {The} reducible case",
journal = j-NUM-MATH,
volume = "19",
number = "5",
pages = "386--399",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C5230 (Digital arithmetic methods)",
corpsource = "Ohio State Univ., Columbus, OH, USA",
fjournal = "Numerische Mathematik",
keywords = "integral groups; number theory; reducible case;
reducible integral matrix groups",
treatment = "T Theoretical or Mathematical",
}
@Article{Pichat:1972:CSA,
author = "M. Pichat",
title = "Correction d'une Somme en Arithm{\'e}tique {\`a}
Virgule Flottante. ({French}) [{Correction} of a Sum in
Floating-Point Arithmetic]",
journal = j-NUM-MATH,
volume = "19",
number = "5",
pages = "400--406",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C5230 (Digital arithmetic methods)",
corpsource = "Conservatoire Nat. Arts Metiers, Paris, France",
fjournal = "Numerische Mathematik",
keywords = "correction; digital arithmetic; floating point
arithmetic; rounding off law; sum; truncature with
guard digit",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Forster:1972:DGF,
author = "Peter Forster",
title = "{Die diskrete Greensche Funktion und
Fehlerabsch{\"a}tzungen zum Galerkin-Verfahren}.
({German}) [{Discrete variational {Green}'s function
and error bounds for {Galerkin} approximations}]",
journal = j-NUM-MATH,
volume = "19",
number = "5",
pages = "407--418",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 20:24:00 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4170
(Differential equations)",
corpsource = "Tech. Univ., Hannover, West Germany",
fjournal = "Numerische Mathematik",
keywords = "boundary value problems; boundary-value problems;
differential equations; discrete variational Green's
function; error analysis; error bounds; Galerkin
approximations; ordinary differential equations",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Hunter:1972:SGF,
author = "D. B. Hunter",
title = "Some {Gauss-type} formulae for the evaluation of
{Cauchy} principal values of integrals",
journal = j-NUM-MATH,
volume = "19",
number = "5",
pages = "419--424",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Bradford, UK",
fjournal = "Numerische Mathematik",
keywords = "Cauchy principal values of integrals; Gauss Legendre
quadrature; Gauss type formulae; integration; numerical
evaluation",
treatment = "T Theoretical or Mathematical",
}
@Article{Miller:1972:SFN,
author = "Webb Miller",
title = "On the stability of finite numerical procedures",
journal = j-NUM-MATH,
volume = "19",
number = "5",
pages = "425--432",
month = oct,
year = "1972",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01404925",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
abstract = "Many procedures, for example Gaussian elimination with
partial pivoting, have been shown to be stable in the
following sense. The effect of round-off errors is to
produce a computed solution which is the exact solution
for slightly different data. Sometimes that is
equivalent to the computed solution being close to the
exact solution. In this paper we study this
equivalence.",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods)",
corpsource = "Pennsylvania State Univ., University Park, PA, USA",
fjournal = "Numerische Mathematik",
keywords = "error analysis; finite numerical procedures; Gaussian
elimination with partial pivoting; numerical methods;
roundoff errors; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Meyer-Spasche:1972:CMS,
author = "Rita Meyer-Spasche",
title = "A constructive method of solving the {Lyapunov}
equation for complex matrices",
journal = j-NUM-MATH,
volume = "19",
number = "5",
pages = "433--438",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Max-Planck-Inst. Phasmaphys., Munich, West Germany",
fjournal = "Numerische Mathematik",
keywords = "constructive method; Lyapunov equation for complete
matrices; Lyapunov methods; matrix algebra; upper
Hessenberg form",
treatment = "T Theoretical or Mathematical",
}
@Article{Saint-Pierre:1972:CND,
author = "Patrick Saint-Pierre",
title = "Sur la convergence num{\'e}rique de diff{\'e}rentes
m{\'e}thodes de d{\'e}composition pour une class de
probl{\`e}mes elliptiques. ({French}) [{On} the
numerical convergence of different methods of
decomposition for a class of elliptic problems]",
journal = j-NUM-MATH,
volume = "19",
number = "5",
pages = "439--449",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; decomposition;
elliptic problems; nonlinear differential equations;
numerical convergence",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Babuska:1972:FES,
author = "Ivo Babu{\v{s}}ka and Michael B. Rosenzweig",
title = "A finite element scheme for domains with corners",
journal = j-NUM-MATH,
volume = "20",
number = "1",
pages = "1--21",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. Maryland, College Park, MD, USA",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; domains with
corners; finite element scheme; L/sub 2/ convergence;
partial differential equations; polygonal domains in
weighted Sobolev spaces; rate of convergence",
treatment = "T Theoretical or Mathematical",
}
@Article{Brown:1972:IGI,
author = "H. Brown and J. Neub{\"u}ser and H. Zassenhaus",
title = "On integral groups. {II}: {The} irreducible case",
journal = j-NUM-MATH,
volume = "20",
number = "1",
pages = "22--31",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C5230 (Digital arithmetic methods)",
corpsource = "Ohio State Univ., Columbus, OH, USA",
fjournal = "Numerische Mathematik",
keywords = "integral groups; number theory; reducible case;
reducible integral matrix groups",
treatment = "T Theoretical or Mathematical",
}
@Article{Schmeisser:1972:OQS,
author = "Gerhard Schmeisser",
title = "{Optimale Quadraturformeln mit semidefiniten Kernen}.
({German}) [{Optimal} Quadrature Formulas with
Semidefinite Kernels]",
journal = j-NUM-MATH,
volume = "20",
number = "1",
pages = "32--53",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Cenacchi:1972:QRS,
author = "G. Cenacchi and A. {De Matteis}",
title = "Quasi-random sequences by power residues",
journal = j-NUM-MATH,
volume = "20",
number = "1",
pages = "54--63",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Brezinski:1972:CAC,
author = "Claude Brezinski",
title = "Conditions d'application et de convergence de
proc{\'e}d{\'e}s d'extrapolation. ({French})
[{Application} and convergence conditions for some
extrapolation processes]",
journal = j-NUM-MATH,
volume = "20",
number = "1",
pages = "64--79",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
fjournal = "Numerische Mathematik",
keywords = "application; convergence conditions; convergence of
numerical methods; convergent sequences; epsilon
algorithm; extrapolation algorithms; function
approximation",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Seppala:1972:NTL,
author = "Veikko Sepp{\"a}l{\"a}",
title = "A note on the theory of limit processes for solving
finite equations",
journal = j-NUM-MATH,
volume = "20",
number = "1",
pages = "80--86",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Kress:1972:NIP,
author = "Rainer Kre{\ss}",
title = "{Zur numerischen Integration periodischer Funktionen
nach der Rechteckregel}. ({German}) [{On the numerical
integration of periodic functions by the trapezoidal
rule}]",
journal = j-NUM-MATH,
volume = "20",
number = "1",
pages = "87--92",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290M
(Numerical integration and differentiation); C4110
(Error analysis in numerical methods); C4160 (Numerical
integration and differentiation)",
corpsource = "Lehrstuhle Numerische and Angewandte Math.,
G{\"o}ttingen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "Davis' method; error analysis; error estimates;
integration; numerical integration; periodic functions;
trapezoidal rule",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Kammerer:1972:ABN,
author = "W. J. Kammerer and R. S. Varga",
title = "On Asymptotically Best Norms for Powers of Operators",
journal = j-NUM-MATH,
volume = "20",
number = "2",
pages = "93--98",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Georgia Inst. Technol., Atlanta, GA, USA",
fjournal = "Numerische Mathematik",
keywords = "asymptotically best norms; iterative methods; la;
large systems; linear equations; matrix algebra; matrix
powers; norm; powers of operators; successive
overrelaxation iterative method",
treatment = "T Theoretical or Mathematical",
}
@Article{Mansfield:1972:VCC,
author = "Lois Mansfield",
title = "On the variational characterization and convergence of
bivariate splines",
journal = j-NUM-MATH,
volume = "20",
number = "2",
pages = "99--114",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Univ. Kansas, Lawrence, KS, USA",
fjournal = "Numerische Mathematik",
keywords = "bivariate splines; convergence; convergence of
numerical methods; splines (mathematics); variational
characterization",
treatment = "T Theoretical or Mathematical",
}
@Article{Golomb:1972:MGN,
author = "M. Golomb and R. A. Tapia",
title = "The metric gradient in normed linear spaces",
journal = j-NUM-MATH,
volume = "20",
number = "2",
pages = "115--124",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290Z (Other numerical methods); C4190 (Other
numerical methods)",
corpsource = "Purdue Univ., Lafayette, IN, USA",
fjournal = "Numerische Mathematik",
keywords = "Hilbert space; metric gradient; normed linear spaces;
numerical methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Kress:1972:GHT,
author = "Rainer Kre{\ss}",
title = "On general {Hermite} trigonometric interpolation",
journal = j-NUM-MATH,
volume = "20",
number = "2",
pages = "125--138",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "Lehrstuhle Numerische and Angewandte Math.,
G{\"o}ttingen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "equidistant interpolation points; general Hermite
trigonometric interpolation; integration;
interpolation; interpolation polynomials; quadrature
formulae",
treatment = "T Theoretical or Mathematical",
}
@Article{Gutknecht:1972:PEB,
author = "Martin Gutknecht",
title = "A posteriori error bounds for the zeros of a
polynomial",
journal = j-NUM-MATH,
volume = "20",
number = "2",
pages = "139--148",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); C4110
(Error analysis in numerical methods)",
corpsource = "Eidgenossische Tech. Hochschule, Zurich, Switzerland",
fjournal = "Numerische Mathematik",
keywords = "a posteriori error bounds; error analysis; Newton like
interpolation formula; poles and zeros; polynomial;
polynomials; Rouche's theorem; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{vanderHouwen:1972:ERF,
author = "P. J. van der Houwen",
title = "Explicit {Runge--Kutta} formulas with increased
stability boundaries",
journal = j-NUM-MATH,
volume = "20",
number = "2",
pages = "149--164",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "Math. Centrum, Amsterdam, Netherlands",
fjournal = "Numerische Mathematik",
keywords = "differential equations; explicit Runge Kutta formulae;
increased stability boundaries; ordinary differential
equations; partial differential equations;
predictor-corrector methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Carasso:1972:EAR,
author = "Claude Carasso",
title = "{\'E}tude de l'algorithme de {R{\'e}m{\`e}s} en
l'absence de condition de {Haar}. ({French}) [{Study}
of the {Remes}-algorithm without the {Haar}
condition]",
journal = j-NUM-MATH,
volume = "20",
number = "2",
pages = "165--178",
month = apr,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Univ. Sci. and M{\'e}dicale Grenoble, France",
fjournal = "Numerische Mathematik",
keywords = "best approximation; convergence; convergence of
numerical methods; function approximation; Haar
condition; Remes algorithm; unicity",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Babuska:1973:FEM,
author = "Ivo Babu{\v{s}}ka",
title = "The finite element method with {Lagrangian}
multipliers",
journal = j-NUM-MATH,
volume = "20",
number = "3",
pages = "179--192",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. Maryland, College Park, MD, USA",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; differential
equations; Dirichlet problem; finite element method;
Lagrangian multipliers; rate of convergence; second
order differential equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Chatelin:1973:ADS,
author = "F. Chatelin",
title = "Approximation du spectre d'un op{\'e}rateur
lin{\'e}are: application aux op{\'e}rateurs
differentiels elliptiques non autoadjoints. ({French})
[{Approximation} of the spectrum of a linear operator:
application to nonselfadjoint differential elliptic
operators]",
journal = j-NUM-MATH,
volume = "20",
number = "3",
pages = "193--204",
month = jun,
year = "1973",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01436562",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Inst. Mathematiques Appliqu{\'e}es, Grenoble, France",
fjournal = "Numerische Mathematik",
keywords = "approximation; eigenvalues and eigenfunctions;
function approximation; linear operator; nonselfadjoint
differential elliptic operators; spectrum",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Householder:1973:PGA,
author = "A. S. Householder",
title = "Postscript to: {``Generalizations of an algorithm of
Sebastiao e Silva''}",
journal = j-NUM-MATH,
volume = "20",
number = "3",
pages = "205--207",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schiop:1973:SRP,
author = "Alexandru I. {\c{S}}chiop",
title = "Stability of {Ritz} procedure for nonlinear two-point
boundary value problem",
journal = j-NUM-MATH,
volume = "20",
number = "3",
pages = "208--212",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Acad. Sci., Bucarest, Romania",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; nonlinear two point boundary
value problem; Ritz procedure; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Douglas:1973:GMP,
author = "Jim {Douglas, Jr.} and Todd Dupont",
title = "{Galerkin} methods for parabolic equations with
nonlinear boundary conditions",
journal = j-NUM-MATH,
volume = "20",
number = "3",
pages = "213--237",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. Chicago, IL, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; Galerkin methods; nonlinear
boundary conditions; parabolic equations; partial
differential equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Strassen:1973:BEF,
author = "Volker Strassen",
title = "{Die Berechnungskomplexit{\"a}t von
elementarsymmetrischen Funktionen und von
Interpolationskoeffizienten}. ({German}) [{The
computational complexity of elementary symmetric
functions and interpolation coefficients}]",
journal = j-NUM-MATH,
volume = "20",
number = "3",
pages = "238--251",
month = jun,
year = "1973",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01436566",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
abstract = "$n(\lg_2 n - 2)$ multiplications and divisions are
necessary to compute the set of elementary symmetric
functions in $n$ indeterminates. This lower bound and
similar ones for the computational complexity of
various evaluation and interpolation problems are
obtained by introducing ideas and results from
algebraic geometry.",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Univ. Zurich, Switzerland",
fjournal = "Numerische Mathematik",
keywords = "computational complexity; elementary symmetric
functions; interpolation; interpolation coefficients",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Varga:1973:MGS,
author = "Richard S. Varga and Bernard W. Levinger",
title = "On Minimal {Gerschgorin} Sets for Families of Norms",
journal = j-NUM-MATH,
volume = "20",
number = "3",
pages = "252--256",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classification = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Kent State Univ., OH, USA",
fjournal = "Numerische Mathematik",
keywords = "eig; families of norms; Gerschgorin's theorem; la;
matrices; matrix algebra; minimal Gerschgorin sets;
norm",
treatment = "T Theoretical or Mathematical",
}
@Article{Lucas:1973:HOP,
author = "Thomas R. Lucas and George W. Reddien",
title = "A high order projection method for nonlinear two point
boundary value problems",
journal = j-NUM-MATH,
volume = "20",
number = "4",
pages = "257--270",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Univ. North Carolina, Charlotte, NC, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; high order projection method;
nonlinear two point boundary value problems; polynomial
spline functions; splines (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Rakotch:1973:NSV,
author = "E. Rakotch",
title = "Numerical solution of {Volterra} integral equations",
journal = j-NUM-MATH,
volume = "20",
number = "4",
pages = "271--279",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Israel Inst. Technol., Haifa, Israel",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; convergence
properties; integral equations; numerical methods;
numerical solution; quadrature formulae; Volterra
integral equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Ansorge:1973:FKF,
author = "Rainer Ansorge",
title = "{$f$-Konvergenz und $f$-Stetigkeit von
Operatorenfolgen auf metrischen R{\"a}umen}. ({German})
[$f$-Convergence and $f$-Stability of Operator
Sequences in Metric Spaces]",
journal = j-NUM-MATH,
volume = "20",
number = "4",
pages = "280--287",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Cryer:1973:NSB,
author = "Colin W. Cryer",
title = "The numerical solution of boundary value problems for
second order functional differential equations by
finite differences",
journal = j-NUM-MATH,
volume = "20",
number = "4",
pages = "288--299",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. Wisconsin, Madison, WI, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary value problems; boundary-value problems;
difference equations; differential equations; finite
differences; numerical solution; second order
functional differential equations",
treatment = "T Theoretical or Mathematical",
}
@Article{vanDooren:1973:NCF,
author = "Ren{\'e} van Dooren",
title = "Numerical computation of forced oscillations in
coupled {Duffing} equations",
journal = j-NUM-MATH,
volume = "20",
number = "4",
pages = "300--311",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Alefeld:1973:UKZ,
author = "G. Alefeld",
title = "{{\"U}ber konvergente Zerlegungen von Matrizen}.
({German}) [{On} Convergent Splittings of Matrices]",
journal = j-NUM-MATH,
volume = "20",
number = "4",
pages = "312--316",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 09:27:08 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Locher:1973:SQG,
author = "Franz Locher",
title = "{Zur Struktur von Quadraturformeln}. ({German}) [{On}
the Structure of Quadrature Formulas]",
journal = j-NUM-MATH,
volume = "20",
number = "4",
pages = "317--326",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 09:28:06 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Brent:1973:OIP,
author = "Richard Brent and Shmuel Winograd and Philip Wolfe",
title = "Optimal iterative processes for root-finding",
journal = j-NUM-MATH,
volume = "20",
number = "5",
pages = "327--341",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 09:36:46 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Chan:1973:SS,
author = "Paula P. Chan",
title = "Singular splines",
journal = j-NUM-MATH,
volume = "20",
number = "5",
pages = "342--349",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Cleveland State Univ., OH, USA",
fjournal = "Numerische Mathematik",
keywords = "approximations; derivatives; interpolate; rational
numbers; singular splines; splines (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Zwas:1973:TSL,
author = "Gideon Zwas",
title = "On two step {Lax--Wendroff} methods in several
dimensions",
journal = j-NUM-MATH,
volume = "20",
number = "5",
pages = "350--355",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Sachs:1973:IMN,
author = "A. Sachs",
title = "{Iterationsverfahren f{\"u}r monotone, nicht notwendig
Lipschitz-beschr{\"a}nkte Operatoren im Hilbert-Raum}.
({German}) [{Iteration} Method for Monotone
Not-Necessarily {Lipschitz}-Limited Operators in
{Hilbert} Space]",
journal = j-NUM-MATH,
volume = "20",
number = "5",
pages = "356--363",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 09:48:04 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Meyer-Spasche:1973:MSS,
author = "R. Meyer-Spasche",
title = "A method of solving the stability-problem for complex
matrices",
journal = j-NUM-MATH,
volume = "20",
number = "5",
pages = "364--371",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:13:52 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{vonFinckenstein:1973:KDQ,
author = "Karl Graf Finck von Finckenstein and Karl-Ulrich von
Hagenow",
title = "{Konvergenz eines Differenzenverfahrens f{\"u}r
quasilineare parabolische Anfangs-Randwertprobleme in
Zylindersymmetrie}. ({German}) [{Convergence} of a
Difference Method for Quasilinear Parabolic
Initial-Boundary Value Problems in Cylindrical
Symmetry]",
journal = j-NUM-MATH,
volume = "20",
number = "5",
pages = "372--376",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:23:14 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Tsuda:1973:NIF,
author = "Takao Tsuda",
title = "Numerical integration of functions of very many
variables",
journal = j-NUM-MATH,
volume = "20",
number = "5",
pages = "377--391",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Hokkaido Univ., Sapporo, Japan",
fjournal = "Numerische Mathematik",
keywords = "composite functions; functions of very many variables;
integration; multidimensional interpolatory quadrature
scheme; numerical integration; samplings",
treatment = "T Theoretical or Mathematical",
}
@Article{Kincaid:1973:CNI,
author = "David R. Kincaid",
title = "A Class of Norms of Iterative Methods for Solving
Systems of Linear Equations",
journal = j-NUM-MATH,
volume = "20",
number = "5",
pages = "392--408",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Jan 28 17:28:43 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
fjournal = "Numerische Mathematik",
}
@Article{Schonhage:1973:UTG,
author = "A. Sch{\"o}nhage",
title = "{Unit{\"a}re Transformationen gro{\ss}er Matrizen}.
({German}) [{Unitary} Transformation of Large
Matrices]",
journal = j-NUM-MATH,
volume = "20",
number = "5",
pages = "409--417",
month = oct,
year = "1973",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01402563",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 11:00:12 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Wuytack:1973:ARI,
author = "Luc Wuytack",
title = "An algorithm for rational interpolation similar to the
$qd$-algorithm",
journal = j-NUM-MATH,
volume = "20",
number = "5",
pages = "418--424",
month = oct,
year = "1973",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01402564",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 18 11:00:12 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Morita:1972:CAG,
author = "Tohru Morita and Tsuyoshi Horiguchi",
title = "Convergence of the arithmetic-geometric mean procedure
for the complex variables and the calculation of the
complete elliptic integrals with complex modulus",
journal = j-NUM-MATH,
volume = "20",
number = "5",
pages = "425--430",
month = oct,
year = "1972",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01402565",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Jan 13 10:01:46 MST 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=20&issue=5;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=20&issue=5&spage=425",
abstract = "The convergence of the arithmetic-geometric mean
procedure is checked for complex variables. The
procedure is shown to be useful for the evaluation of
the complete elliptic integrals of the first and second
kinds with complex modulus. It is suggested that the
procedure will be useful also for the numerical
calculation of the elliptic integrals and the Jacobian
elliptic functions with complex modulus in general.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Beyer:1972:EEC,
author = "W. A. Beyer and M. S. Waterman",
title = "Errata: {``Ergodic Computations with Continued
Fraction and Jacobi's Algorithm''}",
journal = j-NUM-MATH,
volume = "20",
number = "5",
pages = "430--430",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Jan 13 10:01:46 MST 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=20&issue=5;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See \cite{Beyer:1972:ECC}.",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=20&issue=5&spage=430",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Feldstein:1973:NSO,
author = "Alan Feldstein and Richard Goodman",
title = "Numerical solution of ordinary and retarded
differential equations with discontinuous derivatives",
journal = j-NUM-MATH,
volume = "21",
number = "1",
pages = "1--13",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290P
(Differential equations); C4110 (Error analysis in
numerical methods); C4170 (Differential equations)",
corpsource = "Arizona State Univ., Tempe, AZ, USA",
fjournal = "Numerische Mathematik",
keywords = "differential equations; discontinuous derivatives;
error analysis; numerical solution; ordinary and
retarded differential equations; propagation of
discretization error",
treatment = "T Theoretical or Mathematical",
}
@Article{Strom:1973:MEB,
author = "Torsten Str{\"o}m",
title = "Monotonicity and error bounds in schemes of {Romberg}
type for the computation of $f^{(n)}(0)$ by central
differences and extrapolation",
journal = j-NUM-MATH,
volume = "21",
number = "1",
pages = "14--21",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); B0290P
(Differential equations); C4110 (Error analysis in
numerical methods); C4130 (Interpolation and function
approximation); C4170 (Differential equations)",
corpsource = "Res. Inst. Nat. Defence, Stockholm, Sweden",
fjournal = "Numerische Mathematik",
keywords = "central differences; difference equations; error
analysis; error bounds; extrapolation; monotonicity;
schemes of Romberg type",
treatment = "T Theoretical or Mathematical",
}
@Article{deHoog:1973:SVI,
author = "Frank de Hoog and Richard Weiss",
title = "On the solution of {Volterra} integral equations of
the first kind",
journal = j-NUM-MATH,
volume = "21",
number = "1",
pages = "22--32",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Australian Nat. Univ., Canberra, Australia",
fjournal = "Numerische Mathematik",
keywords = "difference equations; high order finite difference
methods; integral equations; solution; Volterra
integral equations of the first kind",
treatment = "T Theoretical or Mathematical",
}
@Article{Delchambre:1973:AMD,
author = "M. Delchambre",
title = "De l'avantage des m{\'e}thodes aux diff{\'e}rences
modifi{\'e}es de {Stiefel--Bettis} pour la
r{\'e}solution d'{\'e}quations diff{\'e}rentielles du
second ordre perturb{\'e}es. ({French}) [{The}
advantage of modified {Stiefel--Bettis} difference
methods for the solution of perturbed second order
differential equations]",
journal = j-NUM-MATH,
volume = "21",
number = "1",
pages = "33--36",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. Libre Bruxelles, Belgium",
fjournal = "Numerische Mathematik",
keywords = "difference equations; modified Stiefel Bettis
difference methods; non linear Van der Pol equation;
nonlinear differential equations; perturbed second
order differential equations",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{deVries:1973:ENM,
author = "H. J. de Vries",
title = "On the eigenproblem for normal matrices",
journal = j-NUM-MATH,
volume = "21",
number = "1",
pages = "37--42",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Katholieke Hogeschool, Tilburg, Netherlands",
fjournal = "Numerische Mathematik",
keywords = "eigenproblem; eigenvalues and eigenfunctions;
Householder Givens method; matrix algebra; normal
matrices; skew Hermitian",
treatment = "T Theoretical or Mathematical",
}
@Article{Johnson:1973:CMF,
author = "Claes Johnson",
title = "On the convergence of a mixed finite-element method
for plate bending problems",
journal = j-NUM-MATH,
volume = "21",
number = "1",
pages = "43--62",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290 (Numerical analysis); C4100 (Numerical
analysis)",
corpsource = "Univ. G{\"o}teborg, Sweden",
fjournal = "Numerische Mathematik",
keywords = "convergence; convergence of numerical methods; finite
element analysis; mixed finite element method; plate
bending problems; stationary variational principle",
treatment = "T Theoretical or Mathematical",
}
@Article{Anselone:1973:PBA,
author = "Philip M. Anselone and Joel Davis",
title = "Perturbations of best approximation problems",
journal = j-NUM-MATH,
volume = "21",
number = "1",
pages = "63--69",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:12:42 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Oregon State Univ., Corvallis, OR, USA",
fjournal = "Numerische Mathematik",
keywords = "approximation theory; best approximation problems;
continuity; discretization properties; metric; normed
linear spaces; perturbations; semimetric spaces",
treatment = "T Theoretical or Mathematical",
}
@Article{Martensen:1973:DER,
author = "Erich Martensen",
title = "{Darstellung und Entwicklung des Restgliedes der
Gregoryschen Quadraturformel mit Hilfe von
Spline-Funktionen}. ({German}) [{Representation and
development of the remainder term of {Gregory}'s
quadrature formula using spline functions}]",
journal = j-NUM-MATH,
volume = "21",
number = "1",
pages = "70--80",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed May 28 22:03:21 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "Univ. Karlsruhe, West Germany",
fjournal = "Numerische Mathematik",
keywords = "development; Gregory's quadrature formula;
integration; remainder term; representation; spline
functions; splines (mathematics)",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Niethammer:1973:NVA,
author = "Wilhelm Niethammer",
title = "{Ein numerisches Verfahren zur analytischen
Fortsetzung}. ({German}) [{A numerical method for
analytical continuation}]",
journal = j-NUM-MATH,
volume = "21",
number = "1",
pages = "81--92",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 20:56:55 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Univ. Mannheim, West Germany",
fjournal = "Numerische Mathematik",
keywords = "analytical continuation; convergence; convergence of
numerical methods; numerical method; series
(mathematics); summation method; Taylor series",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{S:1973:AHA,
author = "{H. S.}",
title = "{Alston S. Householder Award}",
journal = j-NUM-MATH,
volume = "21",
number = "1",
pages = "i--i",
month = feb,
year = "1973",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01436190",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jan 17 13:25:13 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Medley:1973:NGF,
author = "H. I. Medley",
title = "A note on {$G$}-generating families and isolated
{Gerschgorin} disks",
journal = j-NUM-MATH,
volume = "21",
number = "2",
pages = "93--95",
month = apr,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Kent State Univ., OH, USA",
fjournal = "Numerische Mathematik",
keywords = "eigenvalues; eigenvalues and eigenfunctions;
G-generating families; isolated Gerschgorin discs;
matrices; matrix algebra",
treatment = "T Theoretical or Mathematical",
}
@Article{Chandra:1973:APS,
author = "Jagdish Chandra and Paul William Davis",
title = "On the approximation of periodic solutions of
equations with bounded nonlinearities",
journal = j-NUM-MATH,
volume = "21",
number = "2",
pages = "96--108",
month = apr,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "US Army Res. Office-Durham, NC, USA",
fjournal = "Numerische Mathematik",
keywords = "approximation; bounded nonlinearities; differential
equations; function approximation; harmonic;
Lipschitzian nonlinearity; ordinary differential
equations; periodic solutions; phase shift averaging
method; sinusoidal forcing term",
treatment = "T Theoretical or Mathematical",
}
@Article{Gordon:1973:TEM,
author = "William J. Gordon and Charles A. Hall",
title = "Transfinite element methods: blending-function
interpolation over arbitrary curved element domains",
journal = j-NUM-MATH,
volume = "21",
number = "2",
pages = "109--129",
month = apr,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "General Motors Corp., Warren, MI, USA",
fjournal = "Numerische Mathematik",
keywords = "arbitrary curved element domains; blending function;
curved boundaries; finite element analysis;
interpolation; material interfaces; transfinite element
methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Bjorck:1973:ACV,
author = "{\AA}ke Bj{\"o}rck and Tommy Elfving",
title = "Algorithms for Confluent {Vandermonde} Systems",
journal = j-NUM-MATH,
volume = "21",
number = "2",
pages = "130--137",
month = apr,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Univ. Link{\"o}ping, Sweden",
fjournal = "Numerische Mathematik",
keywords = "algorithms; arithmetic operations; confluent
Vandermonde systems; linear algebra; linear equations;
nla; storage; Vandermonde matrix",
treatment = "T Theoretical or Mathematical",
}
@Article{Nielson:1973:BSF,
author = "Gregory M. Nielson",
title = "Bivariate spline functions and the approximation of
linear functionals",
journal = j-NUM-MATH,
volume = "21",
number = "2",
pages = "138--160",
month = apr,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Arizona State Univ., Tempe, AZ, USA",
fjournal = "Numerische Mathematik",
keywords = "approximation; bivariate spline functions; function
approximation; Hilbert space; linear functionals;
reproducing kernel; splines (mathematics); Taylor
expansions",
treatment = "T Theoretical or Mathematical",
}
@Article{Braess:1973:SIZ,
author = "D. Braess and K. P. Hadeler",
title = "Simultaneous inclusion of the zeros of a polynomial",
journal = j-NUM-MATH,
volume = "21",
number = "2",
pages = "161--165",
month = apr,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Univ. M{\"u}nster, West Germany",
fjournal = "Numerische Mathematik",
keywords = "complex polynomial; eigenvalues and eigenfunctions;
inclusion sets; interpolation; Lagrangian interpolation
formulas; matrix algebra; matrix eigenvalue problem;
minimal Gershgorin discs; poles and zeros; polynomials;
simultaneous; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Schaback:1973:KAE,
author = "Robert Schaback",
title = "{Konstruktion und algebraische Eigenschaften von
{$M$}-Spline-Interpolierenden}. ({German})
[{Construction and algebraic properties of {$M$} spline
interpolation}]",
journal = j-NUM-MATH,
volume = "21",
number = "2",
pages = "166--180",
month = apr,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Univ. M{\"u}nster, West Germany",
fjournal = "Numerische Mathematik",
keywords = "algebraic properties; construction; interpolation; M
spline interpolation; splines (mathematics)",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Wulbert:1973:NPS,
author = "Daniel Wulbert",
title = "A note on polynomial splines with free knots",
journal = j-NUM-MATH,
volume = "21",
number = "2",
pages = "181--184",
month = apr,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Hunter:1973:NEC,
author = "D. B. Hunter",
title = "The numerical evaluation of {Cauchy} principal values
of integrals by {Romberg} integration",
journal = j-NUM-MATH,
volume = "21",
number = "3",
pages = "185--192",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Bradford, UK",
fjournal = "Numerische Mathematik",
keywords = "Cauchy principal values; integrals; integration;
numerical evaluation; numerical methods; Romberg
integration",
treatment = "T Theoretical or Mathematical",
}
@Article{Reddien:1973:PMS,
author = "G. W. Reddien",
title = "Projection methods and singular two point boundary
value problems",
journal = j-NUM-MATH,
volume = "21",
number = "3",
pages = "193--205",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "Vanderbilt Univ., Nashville, TN, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; collocation methods;
convergence of numerical methods; convergence rates;
existence; projection methods; singular splines;
singular two point boundary value problems; splines
(mathematics); uniqueness",
treatment = "T Theoretical or Mathematical",
}
@Article{Takahasi:1973:QFO,
author = "Hidetosi Takahasi and Masatake Mori",
title = "Quadrature formulas obtained by variable
transformation",
journal = j-NUM-MATH,
volume = "21",
number = "3",
pages = "206--219",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Tokyo, Bunkyo-ku, Japan",
fjournal = "Numerische Mathematik",
keywords = "convergence; convergence of numerical methods;
improper integrals; infinite integrals; integration;
quadrature formulas; variable transformation",
treatment = "T Theoretical or Mathematical",
}
@Article{Esser:1973:BKH,
author = "H. Esser and K. Scherer",
title = "{Eine Bemerkungen zur Konvergenz Hermitischer
Interpolationsprozesse}. ({German}) [{Convergence of
{Hermite} interpolation processes}]",
journal = j-NUM-MATH,
volume = "21",
number = "3",
pages = "220--222",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 21:59:39 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "RWTH, Aachen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "convergence; convergence of numerical methods;
differentiable function; Hermite interpolation
processes; interpolation; polynomial",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Parlett:1973:PGM,
author = "B. N. Parlett",
title = "Pr{\'e}sentation g{\'e}om{\'e}trique des m{\'e}thodes
de calcul des valeurs propres. ({French}) [{Geometric}
presentation of methods for calculation of
eigenvalues]",
journal = j-NUM-MATH,
volume = "21",
number = "3",
pages = "223--233",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Univ. California, Berkeley, CA, USA",
fjournal = "Numerische Mathematik",
keywords = "calculation; convergence; convergence of numerical
methods; eigenvalues; eigenvalues and eigenfunctions;
eigenvectors; geometric presentation; matrices; matrix
algebra; methods",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Neunzert:1973:TAV,
author = "H. Neunzert and J. Wick",
title = "{Die Theorie der asymptotischen Verteilung und die
numerische L{\"o}sung von
Integrodifferentialgleichungen}. ({German}) [{The
theory of asymptotic distribution and the numerical
solution of integrodifferential equations}]",
journal = j-NUM-MATH,
volume = "21",
number = "3",
pages = "234--243",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 22:03:24 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); B0290R (Integral
equations); C4170 (Differential equations); C4180
(Integral equations)",
corpsource = "RWTH, Aachen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "integro-differential equations; integrodifferential
equations; numerical methods; numerical solution;
theory of asymptotic distribution",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Lesaint:1973:FEM,
author = "P. Lesaint",
title = "Finite element methods for symmetric hyperbolic
equations",
journal = j-NUM-MATH,
volume = "21",
number = "3",
pages = "244--255",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Centre Etudes Limeil, France",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; differential
equations; finite element analysis; finite element
methods; rate of convergence; Rayleigh Ritz Galerkin
method; symmetric hyperbolic equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Pittnauer:1973:NPK,
author = "E. Pittnauer",
title = "{Numerische Polynomapproximation mit Knotenpolynomen}.
({German}) [{Numerical polynomial approximation by knot
polynomials}]",
journal = j-NUM-MATH,
volume = "21",
number = "3",
pages = "256--263",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 22:04:51 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Ruhr Univ., Bochum, West Germany",
fjournal = "Numerische Mathematik",
keywords = "approximation theory; interpolation; Knot polynomials;
numerical methods; numerical polynomial approximation;
polynomials",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Sautter:1973:SLO,
author = "W. Sautter",
title = "{Schwankungsbereiche linearer Optimierungsaufgaben}.
({German}) [{Perturbation analysis of linear
programming problems}]",
journal = j-NUM-MATH,
volume = "21",
number = "3",
pages = "264--269",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 22:06:45 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques)",
corpsource = "Univ., M{\"u}nchen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "linear programming; linear programming problems;
perturbation analysis; perturbation techniques",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Douglas:1973:SGM,
author = "Jim {Douglas, Jr.} and Todd Dupont",
title = "Superconvergence for {Galerkin} methods for the two
point boundary problem via local projections",
journal = j-NUM-MATH,
volume = "21",
number = "3",
pages = "270--278",
month = jun,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. Chicago, IL, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; convergence of numerical
methods; Galerkin methods; local projections;
superconvergence; two point boundary problem",
treatment = "T Theoretical or Mathematical",
}
@Article{Allgower:1973:EIC,
author = "E. L. Allgower",
title = "Exact inverses of certain band matrices",
journal = j-NUM-MATH,
volume = "21",
number = "4",
pages = "279--284",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "ETH, Zurich, Switzerland",
fjournal = "Numerische Mathematik",
keywords = "band matrices; exact inverses; matrix algebra;
Toeplitz type",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1973:CDM,
author = "G. W. Stewart",
title = "Conjugate direction methods for solving systems of
linear equations",
journal = j-NUM-MATH,
volume = "21",
number = "4",
pages = "285--297",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290H (Linear algebra); C4130 (Interpolation and
function approximation); C4140 (Linear algebra)",
corpsource = "Carnegie-Mellon Univ., Pittsburgh, PA, USA",
fjournal = "Numerische Mathematik",
keywords = "conjugate; conjugate direction methods; iterations;
iterative methods; matrix; matrix algebra; systems of
linear equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Mittermayer:1973:IMG,
author = "E. Mittermayer",
title = "{Eine Iterationsmethode zur mehrdimensionalen
gleichm{\"a}{\ss}igen Approximation bei gegebener
N{\"a}herung}. ({German}) [{An iterative method for the
more dimensional uniform approximation by given
nearness}]",
journal = j-NUM-MATH,
volume = "21",
number = "4",
pages = "298--302",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Tech. Univ., Berlin, West Germany",
fjournal = "Numerische Mathematik",
keywords = "Chebyshev; Chebyshev approximation; iterative method;
iterative methods",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Jeltsch:1973:III,
author = "Rolf Jeltsch",
title = "Integration of iterated integrals by multistep
methods",
journal = j-NUM-MATH,
volume = "21",
number = "4",
pages = "303--316",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Dalhousie Univ., Halifax, NS, Canada",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; integration; iterated
integrals; looking ahead points; multistep methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Scott:1973:FEC,
author = "Ridgway Scott",
title = "Finite element convergence for singular data",
journal = j-NUM-MATH,
volume = "21",
number = "4",
pages = "317--327",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "MIT, Cambridge, MA, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary value problem; boundary-value problems;
convergence of numerical methods; finite element
analysis; finite element convergence; singular data",
treatment = "T Theoretical or Mathematical",
}
@Article{Gustafsson:1973:NMS,
author = "Bertil Gustafsson",
title = "A numerical method for solving singular boundary value
problems",
journal = j-NUM-MATH,
volume = "21",
number = "4",
pages = "328--344",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Uppsala Univ., Sweden",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; numerical method; numerical
methods; singular boundary value problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Berger:1973:EEF,
author = "Alan E. Berger",
title = "{$L^2$} error estimates for finite elements with
interpolated boundary conditions",
journal = j-NUM-MATH,
volume = "21",
number = "4",
pages = "345--349",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); C4110
(Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
corpsource = "US Naval Ordnance Lab., Silver Spring, Md., USA",
fjournal = "Numerische Mathematik",
keywords = "error analysis; finite element analysis; finite
elements; interpolated boundary conditions;
interpolation; L/sup 2/ error estimates",
treatment = "T Theoretical or Mathematical",
}
@Article{Kansy:1973:EFA,
author = "Klaus Kansy",
title = "{Elementare Fehlerdarstellung f{\"u}r Ableitungen bei
der Hermite-Interpolation}. ({German}) [{Elementary
error representation for derivatives by {Hermite}
interpolation}]",
journal = j-NUM-MATH,
volume = "21",
number = "4",
pages = "350--354",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); C4110
(Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
corpsource = "Gesellschaft Math., Bonn, West Germany",
fjournal = "Numerische Mathematik",
keywords = "derivatives; elementary error representation; error
analysis; Hermite interpolation; interpolation;
pointwise",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Goodman:1973:RER,
author = "Richard Goodman and Alan Feldstein",
title = "Round-off error for retarded ordinary differential
equations: a priori bounds and estimates",
journal = j-NUM-MATH,
volume = "21",
number = "5",
pages = "355--372",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290P
(Differential equations); C4110 (Error analysis in
numerical methods); C4170 (Differential equations)",
corpsource = "Univ. Miami, FL, USA",
fjournal = "Numerische Mathematik",
keywords = "bounds; differential equations; error analysis;
estimates; retarded ordinary differential equations;
round off error",
treatment = "T Theoretical or Mathematical",
}
@Article{Shimasaki:1973:NSI,
author = "Masaaki Shimasaki and Takeshi Kiyono",
title = "Numerical solution of integral equations in
{Chebyshev} series",
journal = j-NUM-MATH,
volume = "21",
number = "5",
pages = "373--380",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290R (Integral equations); C4130 (Interpolation and
function approximation); C4180 (Integral equations)",
corpsource = "Kyoto Univ., Japan",
fjournal = "Numerische Mathematik",
keywords = "Chebyshev approximation; Chebyshev series; integral
equations; iterative methods; Newton iterations;
numerical solution",
treatment = "T Theoretical or Mathematical",
}
@Article{Daniel:1973:NMN,
author = "James W. Daniel",
title = "{Newton}'s method for nonlinear inequalities",
journal = j-NUM-MATH,
volume = "21",
number = "5",
pages = "381--387",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Univ. Texas, Austin, TX, USA",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; iterative methods;
Newton's method; nonlinear inequalities; quadratic
convergence",
treatment = "T Theoretical or Mathematical",
}
@Article{Beavers:1973:CME,
author = "A. N. {Beavers, Jr.} and E. D. Denman",
title = "A Computational Method for Eigenvalues and
Eigenvectors of a Matrix with Real Eigenvalues",
journal = j-NUM-MATH,
volume = "21",
number = "5",
pages = "389--396",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/par.lin.alg.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Univ. Houston, TX, USA",
fjournal = "Numerische Mathematik",
keywords = "computational method; eigenvalues; eigenvalues and
eigenfunctions; eigenvectors; matrix algebra; matrix
with real eigenvalues; sign; square matrix",
treatment = "T Theoretical or Mathematical",
}
@Article{Brass:1973:FQC,
author = "Helmut Bra{\ss}",
title = "{Eine Fehlerabsch{\"a}tzung zum Quadratureverfahren
von Clenshaw und Curtis}. ({German}) [{An error
estimation of the quadrature method of {Clenshaw} and
{Curtis}}]",
journal = j-NUM-MATH,
volume = "21",
number = "5",
pages = "397--403",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290M
(Numerical integration and differentiation); C4110
(Error analysis in numerical methods); C4160 (Numerical
integration and differentiation)",
corpsource = "Tech. Univ. Clausthal, Zellerfeld, West Germany",
fjournal = "Numerische Mathematik",
keywords = "Clenshaw Curtis method; error analysis; error
estimation; integration; quadrature method",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1973:CAE,
author = "Walter Gautschi",
title = "On the condition of algebraic equations",
journal = j-NUM-MATH,
volume = "21",
number = "5",
pages = "405--424",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Purdue Univ., Lafayette, IN, USA",
fjournal = "Numerische Mathematik",
keywords = "algebraic equations; condition; linear algebra;
polynomial; polynomials; roots; sensitivity",
treatment = "T Theoretical or Mathematical",
}
@Article{Elsner:1973:RSI,
author = "Ludwig Elsner",
title = "A remark on simultaneous inclusions of the zeros of a
polynomial by {Gershgorin}'s theorem",
journal = j-NUM-MATH,
volume = "21",
number = "5",
pages = "425--427",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Univ. Erlangen-N{\"u}rnberg, West Germany",
fjournal = "Numerische Mathematik",
keywords = "error bounds; Gershgorin's theorem; poles and zeros;
polynomial; polynomials; simultaneous inclusions;
zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Rodrigue:1973:GMM,
author = "Garry Rodrigue",
title = "A gradient method for the matrix eigenvalue problem
{$A x = \lambda B x$}",
journal = j-NUM-MATH,
volume = "22",
number = "1",
pages = "1--16",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Kent State Univ., OH, USA",
fjournal = "Numerische Mathematik",
keywords = "eigenvalues and eigenfunctions; functional; gradient
method; matrix algebra; matrix eigenvalue problem;
minimization",
treatment = "T Theoretical or Mathematical",
}
@Article{Atkinson:1973:IVN,
author = "Kendall Atkinson",
title = "Iterative variants of the {Nystr{\"o}m} method for the
numerical solution of integral equations",
journal = j-NUM-MATH,
volume = "22",
number = "1",
pages = "17--31",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290R (Integral equations); C4130 (Interpolation and
function approximation); C4180 (Integral equations)",
corpsource = "Univ. Iowa, IA, USA",
fjournal = "Numerische Mathematik",
keywords = "integral equations; iterative methods; iterative
variants; numerical solution; Nystr{\"o}m method",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1973:SIF,
author = "G. W. Stewart",
title = "Some iterations for factoring a polynomial. {II}: {A}
generalization of the secant method",
journal = j-NUM-MATH,
volume = "22",
number = "1",
pages = "33--36",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Schroder:1973:RDB,
author = "Johann Schr{\"o}der and Ulrich Trottenberg",
title = "{Reduktionsverfahren f{\"u}r DIfferenzengleichungen
bie Randwertaufgaben. I}. ({German}) [{Reduction method
for difference equations for boundary value problems.
{I}}]",
journal = j-NUM-MATH,
volume = "22",
number = "1",
pages = "37--68",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 22:13:26 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. Koln, Weyertal, West Germany",
fjournal = "Numerische Mathematik",
keywords = "boundary value problems; boundary-value problems;
difference equations; discrete Dirichlet problem;
numerical methods; numerically stable; Poisson's
equation; reduction method",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Kreisselmeier:1973:AZI,
author = "Gerhard Kreisselmeier and Dietrich Suschowk",
title = "{Ein Algorithmus zur zyklisch invarianten Zerlegung
eines endlich-dimensionalen Vektorraums bez{\"u}glich
einer linearen Selbstabbildung}. ({German}) [{An}
Algorithm for the Cyclic Invariant Decompositions of a
Finite-Dimensional Vector Space with Respect to Linear
Endomorphism]",
journal = j-NUM-MATH,
volume = "22",
number = "1",
pages = "69--74",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:12:42 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Micchelli:1974:AOA,
author = "C. A. Micchelli and W. L. Miranker",
title = "Asymptotically optimal approximation in fractional
{Sobolev} spaces and the numerical solution of
differential equations",
journal = j-NUM-MATH,
volume = "22",
number = "2",
pages = "75--87",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); B0290F
(Interpolation and function approximation); B0290P
(Differential equations); C1180 (Optimisation
techniques); C4130 (Interpolation and function
approximation); C4170 (Differential equations)",
corpsource = "IBM Corp., Yorktown Heights, NJ, USA",
fjournal = "Numerische Mathematik",
keywords = "asymptotically optimal approximation; Cauchy problem;
extremal problems; fractional Sobolev spaces; function
approximation; generalized spline functions; linear
differential equations; linear partial differential
equations; numerical solution of differential
equations; optimal finite difference methods;
optimisation; partial differential equations; splines
(mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Mansfield:1974:HOC,
author = "Lois Mansfield",
title = "Higher order compatible triangular finite elements",
journal = j-NUM-MATH,
volume = "22",
number = "2",
pages = "89--97",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Univ. Kansas, Lawrence, KS, USA",
fjournal = "Numerische Mathematik",
keywords = "finite element analysis; function approximation;
higher order compatible triangular finite elements;
piecewise polynomial functions; piecewise rational
functions; polynomials; triangulated polygon",
treatment = "T Theoretical or Mathematical",
}
@Article{Douglas:1974:GAT,
author = "Jim {Douglas, Jr.} and Todd Dupont",
title = "{Galerkin} approximations for the two point boundary
problem using continuous, piecewise polynomial spaces",
journal = j-NUM-MATH,
volume = "22",
number = "2",
pages = "99--109",
month = apr,
year = "1974",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01436724",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "Univ. Chicago, IL, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; continuous piecewise
polynomial spaces; function approximation; Galerkin
approximations; polynomials; two point boundary
problem",
treatment = "T Theoretical or Mathematical",
}
@Article{Menke:1974:BNK,
author = "Klaus Menke",
title = "{Bestimmung von N{\"a}herungen f{\"u}r die konforme
Abbildung mit Hilfe von station{\"a}ren Punksystemen}.
({German}) [{Determination of the best approximation
for conformal mapping with help of stationary point
system}]",
journal = j-NUM-MATH,
volume = "22",
number = "2",
pages = "111--117",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 22:23:20 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Univ. Dortmund, West Germany",
fjournal = "Numerische Mathematik",
keywords = "best approximation; closed analytic Jordan curve;
conformal mapping; extremal points; function
approximation; stationary point system",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Barrar:1974:AEM,
author = "R. B. Barrar and Henry L. Loeb",
title = "Analytic extended monosplines",
journal = j-NUM-MATH,
volume = "22",
number = "2",
pages = "119--125",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:53:36 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Univ. Oregon, Eugene, OR, USA",
fjournal = "Numerische Mathematik",
keywords = "analytic extended monosplines; extended varisolvence;
function approximation; Karlin; moment problem;
nonlinear approximation problems; splines
(mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Geistbeck:1974:OFD,
author = "F. Geistbeck and A. Sachs",
title = "{Optimale Fehlerabsch{\"a}tzungen mit dualen
Funktionalen bei semilinearen Randwertaufgaben
gew{\"o}hnlicher Differentialgleichungen}. ({German})
[{Optimal error estimations with dual functionals for
boundary value problems of ordinary semilinear
differential equations}]",
journal = j-NUM-MATH,
volume = "22",
number = "2",
pages = "127--136",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290P
(Differential equations); C4110 (Error analysis in
numerical methods); C4170 (Differential equations)",
fjournal = "Numerische Mathematik",
keywords = "approximate solutions; boundary value problems;
boundary-value problems; differential equations; dual
functionals; error analysis; optimal error estimations;
optimized; ordinary semilinear differential equations;
polynomials; variational error bounds",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Brosowski:1974:VAG,
author = "Bruno Brosowski and K.-H. Hoffmann",
title = "{Eine Variationsungleichung und Anwendungen}.
({German}) [{A variational inequality and its
application}]",
journal = j-NUM-MATH,
volume = "22",
number = "2",
pages = "137--147",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 22:24:54 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques)",
corpsource = "Univ. G{\"o}ttingen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "best approximation; global conditions; minimisation;
minimum; nondifferentiable function; optimization;
variational inequality",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Natterer:1974:EML,
author = "Frank Natterer and Bodo Werner",
title = "{Eine Erweiterung des Maximumsprinzips f{\"u}r den
Laplaceschen Operator}. ({German}) [{An extension of
the maximum principle for the {Laplace} operator}]",
journal = j-NUM-MATH,
volume = "22",
number = "2",
pages = "149--155",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 22:26:39 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques)",
corpsource = "Univ. Saarlandes, Saarbrucken, West Germany",
fjournal = "Numerische Mathematik",
keywords = "continuous functions; Dirichlet problem; Laplace
operator; maximum principle; nonnegative functional;
optimisation; piecewise continuous first and second
derivatives",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Anderssen:1974:NDP,
author = "R. S. Anderssen and P. Bloomfield",
title = "Numerical differentiation procedures for non-exact
data",
journal = j-NUM-MATH,
volume = "22",
number = "3",
pages = "157--182",
month = jun,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Australian Nat. Univ., Canberra, Australia",
fjournal = "Numerische Mathematik",
keywords = "differentiation; nonexact data; numerical
differentiation; regression analysis; spectrum
analysis",
treatment = "T Theoretical or Mathematical",
}
@Article{Erisman:1974:MST,
author = "A. M. Erisman and J. K. Reid",
title = "Monitoring the Stability of the Triangular
Factorization of a Sparse Matrix",
journal = j-NUM-MATH,
volume = "22",
number = "3",
pages = "183--186",
month = jun,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Boeing Computer Services Inc., Seattle, WA, USA",
fjournal = "Numerische Mathematik",
keywords = "accuracy; computational cost; Gaussian elimination;
iterative refinement; linear algebra; lud; nla;
numerical instability; pivoting; sparse; sparse matrix;
sparsity pattern; stability; triangular factorization",
treatment = "T Theoretical or Mathematical",
}
@Article{Knauff:1974:OAL,
author = "W. Knauff and R. Kre{\ss}",
title = "{Optimale Approximation linearer Funktionale auf
periodischen Funktionen}. ({German}) [{Optimal
approximation of linear functionals on periodic
functions}]",
journal = j-NUM-MATH,
volume = "22",
number = "3",
pages = "187--205",
month = jun,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Jun 01 12:18:18 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Lehrstuhle Numerische Angewandte Mathematik,
G{\"o}ttingen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "bounded linear functionals; conjugate harmonic
functions; Davis' method; equidistant nodes; error
norms; function approximation; Hardy spaces; Hilbert
space; linear functionals; numerical approximation;
numerical integration; optimal approximation; optimal
rules; periodic functions; Sobolev spaces; total
orthonormal system; weights",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Chawla:1974:ORP,
author = "M. M. Chawla and Veena Kaul",
title = "Optimal rules with polynomial precision for {Hilbert}
spaces possessing reproducing kernel functions",
journal = j-NUM-MATH,
volume = "22",
number = "3",
pages = "207--218",
month = jun,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Indian Inst. Technol, Hauz Khas, New Delhi, India",
fjournal = "Numerische Mathematik",
keywords = "function approximation; functions analytic in a
circle; Hilbert spaces; interpolatory; numerical
integration; optimal rules; periodic analytic
functions; polynomial precision; polynomials;
preassigned abscissas; reproducing kernel functions;
weights",
treatment = "T Theoretical or Mathematical",
}
@Article{Braess:1974:RIN,
author = "Dietrich Braess",
title = "{Rationale Interpolation, Normalit{\"a}t und
Monosplines}. ({German}) [{Rational interpolation,
normality and monosplines}]",
journal = j-NUM-MATH,
volume = "22",
number = "3",
pages = "219--232",
month = jun,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Jun 01 12:19:32 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Ruhr. Univ., Bochum, West Germany",
fjournal = "Numerische Mathematik",
keywords = "error; interpolation; monosplines; normality; rational
interpolation; splines (mathematics)",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Richert:1974:FET,
author = "Walter R. Richert",
title = "{Zur Fehlerabsch{\"a}tzung f{\"u}r Eigenwertaufgaben
vom Typ {$(\lambda^2 I - \lambda A - B) x = 0$}}.
({German}) [{Error bounds construction for eigenvalue
distances of the problem {$(\lambda^2 I - \lambda A -
B) x = 0$}}]",
journal = j-NUM-MATH,
volume = "22",
number = "3",
pages = "233--239",
month = jun,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Jun 01 12:21:13 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290H
(Linear algebra); C4110 (Error analysis in numerical
methods); C4140 (Linear algebra)",
corpsource = "Ludwig-Maximiliano Univ., M{\"u}nchen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "eigenvalue distances; eigenvalues and eigenfunctions;
error analysis; error bounds construction; linear
algebra; separable Hilbert space",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Kammerer:1974:QIS,
author = "W. J. Kammerer and G. W. Reddien and R. S. Varga",
title = "Quadratic Interpolatory Splines",
journal = j-NUM-MATH,
volume = "22",
number = "4",
pages = "241--259",
month = aug,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "Graphics/imager/imager.75.bib;
Graphics/siggraph/pre75.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Georgia Inst. Technol., Atlanta, GA, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary value problems; boundary-value problems;
error bounds; interpolation; numerical solution;
projectional properties; quadratic interpolatory
splines; splines (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Makela:1974:CCC,
author = "Matti M{\"a}kel{\"a} and Olavi Nevanlinna and Aarne H.
Sipil{\"a}",
title = "On the concepts of convergence, consistency, and
stability in connection with some numerical methods",
journal = j-NUM-MATH,
volume = "22",
number = "4",
pages = "261--274",
month = aug,
year = "1974",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01406967",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Helsinki Univ., Finland",
fjournal = "Numerische Mathematik",
keywords = "asymptotic theory; boundary-value problems;
consistency; convergence; convergence of numerical
methods; differential equations; discretization
methods; initial value problems; numerical methods;
ordinary differential equations; stability; weakly
nonlinear methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Richert:1974:HEP,
author = "Walter R. Richert",
title = "On the handling of eigenvalue problems with the
parameter of nonlinear form",
journal = j-NUM-MATH,
volume = "22",
number = "4",
pages = "275--287",
month = aug,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Ludwig Maximilians Univ., M{\"u}nchen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "eigenvalue problems; eigenvalues and eigenfunctions;
function approximation; Hilbert space; quadratic form",
treatment = "T Theoretical or Mathematical",
}
@Article{Deuflhard:1974:MNM,
author = "P. Deuflhard",
title = "A modified {Newton} method for the solution of
ill-conditioned systems of nonlinear equations with
application to multiple shooting",
journal = j-NUM-MATH,
volume = "22",
number = "4",
pages = "289--315",
month = aug,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:53:47 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290K (Nonlinear and functional equations); C4150
(Nonlinear and functional equations)",
corpsource = "Mathematisches Inst., M{\"u}nchen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "boundary value problems; ill conditioned systems of
nonlinear equations; iteration; iterative methods;
modified Newton method; multiple shooting; nearly
singular Jacobian; nonlinear equations; numerical
solution",
treatment = "T Theoretical or Mathematical",
}
@Article{Chawla:1974:NEI,
author = "M. M. Chawla and T. R. Ramakrishnan",
title = "Numerical evaluation of integrals of periodic
functions with {Cauchy} and {Poisson} type kernels",
journal = j-NUM-MATH,
volume = "22",
number = "4",
pages = "317--323",
month = aug,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Indian Inst. Technol., New Delhi, India",
fjournal = "Numerische Mathematik",
keywords = "Cauchy type kernels; functions; integration; numerical
evaluation of integrals; numerical methods; periodic
functions; Poisson type kernels",
treatment = "T Theoretical or Mathematical",
}
@Article{Jennings:1974:DEA,
author = "L. S. Jennings and M. R. Osborne",
title = "A Direct Error Analysis for Least Squares",
journal = j-NUM-MATH,
volume = "22",
number = "4",
pages = "325--332",
month = aug,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
annote = "Cited in {\AA ke Bj\"orck}'s bibliography on least
squares, which is available by anonymous ftp from {\tt
math.liu.se} in {\tt pub/references}.",
classification = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); B0290H
(Linear algebra); C4110 (Error analysis in numerical
methods); C4130 (Interpolation and function
approximation); C4140 (Linear algebra)",
corpsource = "Australian Nat. Univ., Canberra, ACT, Australia",
fjournal = "Numerische Mathematik",
keywords = "column pivoting; direct error analysis; error
analysis; least squares approximations; least squares
solution; lsq; matrix algebra; nla; orthogonal
factorization methods; overdetermined system of linear
equations; rounding error",
treatment = "T Theoretical or Mathematical",
}
@Article{Kall:1974:ASP,
author = "Peter Kall",
title = "Approximations to stochastic programs with complete
fixed recourse",
journal = j-NUM-MATH,
volume = "22",
number = "4",
pages = "333--339",
month = aug,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); B0290F
(Interpolation and function approximation); C1180
(Optimisation techniques); C4130 (Interpolation and
function approximation)",
corpsource = "Univ. Zurich, Switzerland",
fjournal = "Numerische Mathematik",
keywords = "approximations; complete fixed recourse; convergence;
error bounds; finite discrete distributions; function
approximation; mathematical programming; optimal
values; probability; probability distribution;
stochastic programs",
treatment = "T Theoretical or Mathematical",
}
@Article{Kung:1974:CRP,
author = "H. T. Kung",
title = "On computing reciprocals of power series",
journal = j-NUM-MATH,
volume = "22",
number = "5",
pages = "341--348",
month = oct,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Tanabe:1974:CLS,
author = "Kunio Tanabe",
title = "Characterization of linear stationary iterative
processes for solving a singular system of linear
equations",
journal = j-NUM-MATH,
volume = "22",
number = "5",
pages = "349--359",
month = oct,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 09:48:04 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Rissanen:1974:SLE,
author = "Jorma Rissanen",
title = "Solution of linear equations with {Hankel} and
{Toeplitz} matrices",
journal = j-NUM-MATH,
volume = "22",
number = "5",
pages = "361--366",
month = oct,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:13:52 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Abrahamsson:1974:DAS,
author = "L. R. Abrahamsson and H. B. Keller and H. O. Kreiss",
title = "Difference approximations for singular perturbations
of systems of ordinary differential equations",
journal = j-NUM-MATH,
volume = "22",
number = "5",
pages = "367--391",
month = oct,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. Computer Sci., Uppsala, Sweden",
fjournal = "Numerische Mathematik",
keywords = "boundary value problems; boundary-value problems;
difference approximations; differential equations;
ordinary differential equations; singular
perturbations; uniform stepsize",
treatment = "T Theoretical or Mathematical",
}
@Article{Astor:1974:DS,
author = "P. H. Astor and C. S. Duris",
title = "Discrete {$L$}-splines",
journal = j-NUM-MATH,
volume = "22",
number = "5",
pages = "393--402",
month = oct,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Drexel Univ., Philadelphia, PA, USA",
fjournal = "Numerische Mathematik",
keywords = "best approximation; continuous L splines; discrete
functions; discrete L splines; interpolation;
interpolatory splines; linear difference operator;
minimum norm property; splines (mathematics); summation
relations",
treatment = "T Theoretical or Mathematical",
}
@Article{Chan:1974:MOM,
author = "Paula P. Chan",
title = "A monotone operator method for the solution of
{Fredholm} integral equations",
journal = j-NUM-MATH,
volume = "22",
number = "5",
pages = "403--408",
month = oct,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Cleveland State Univ., OH, USA",
fjournal = "Numerische Mathematik",
keywords = "Fredholm integral equations; integral equations;
monotone operator",
treatment = "T Theoretical or Mathematical",
}
@Article{Hettich:1974:KZO,
author = "R. Hettich",
title = "{Kriterien zweiter Ordnung f{\"u}r lokal beste
Approximationen}. ({German}) [{Second-order conditions
for locally best approximations}]",
journal = j-NUM-MATH,
volume = "22",
pages = "409--417",
month = oct,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:52:23 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "German",
}
@Article{Wimp:1974:TAL,
author = "J. Wimp",
title = "{Toeplitz} arrays, linear sequence transformations and
orthogonal polynomials",
journal = j-NUM-MATH,
volume = "23",
number = "1",
pages = "1--17",
month = feb,
year = "1974",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01409986",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Drexel Univ., Philadelphia, PA, USA",
fjournal = "Numerische Mathematik",
keywords = "Bessel polynomials; convergence; infinite array of
complex numbers; Legendre polynomials; linear sequence
transformations; orthogonal polynomials; polynomials;
series (mathematics); Toeplitz arrays; transforms",
treatment = "T Theoretical or Mathematical",
}
@Article{Pecka:1974:EWQ,
author = "F. Pecka",
title = "On equally weighted quadratures",
journal = j-NUM-MATH,
volume = "23",
number = "1",
pages = "19--22",
month = feb,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "J. E. Purkyne Univ., Brno, Czechoslovakia",
fjournal = "Numerische Mathematik",
keywords = "Chebyshev approximation; Chebyshev quadratures;
equally weighted quadratures; integration;
interpolation; interpolatory quadratures; polynomials",
treatment = "T Theoretical or Mathematical",
}
@Article{Voigt:1974:LMA,
author = "A. Voigt",
title = "Line method approximations to the {Cauchy} problem for
nonlinear parabolic differential equations",
journal = j-NUM-MATH,
volume = "23",
number = "1",
pages = "23--36",
month = feb,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. Karlsruhe, West Germany",
fjournal = "Numerische Mathematik",
keywords = "Cauchy problem; convergence; existence; heat equation;
line method approximations; longitudinal method of
lines; monotonicity; nonlinear differential equations;
nonlinear parabolic differential equations; partial
differential equations; uniqueness",
treatment = "T Theoretical or Mathematical",
}
@Article{Mock:1974:SNT,
author = "M. S. Mock",
title = "Solution of a nonlinear two point boundary value
problem",
journal = j-NUM-MATH,
volume = "23",
number = "1",
pages = "37--46",
month = feb,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. Computing Centre, New York, NY, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; discrete equations; finite
element analysis; finite element approximation;
nonlinear differential equations; nonlinear two point
boundary value problem; partial differential equations;
singular second order nonlinear two point boundary
value problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Demoulin:1974:IMS,
author = "Yves-Marie J. Demoulin and Y. M. Chen",
title = "An iteration method for studying the bifurcation of
solutions of the nonlinear equations, {$L(\lambda)u+
\epsilon R( \lambda,u)=0$}",
journal = j-NUM-MATH,
volume = "23",
number = "1",
pages = "47--61",
month = feb,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); B0290K (Nonlinear and
functional equations); C4140 (Linear algebra); C4150
(Nonlinear and functional equations)",
corpsource = "State Univ. New York, Stony Brook, NY, USA",
fjournal = "Numerische Mathematik",
keywords = "bifurcation; eigenvalues and eigenfunctions; iterative
method; iterative methods; linear constrain; multiple
eigenvalues; nonlinear equation; nonlinear equations",
treatment = "T Theoretical or Mathematical",
}
@Article{LaPorte:1974:ESE,
author = "M. {La Porte} and J. Vignes",
title = "{\'E}tude Statistique des Erreurs Dans
l'Arithm{\'e}tique des Ordinateurs; Application au
Contr{\^o}le des {R}{\'e}sultats d'Algorithmes
Num{\'e}riques. ({French}) [{Statistical} Study of
Errors in Computer Arithmetic: Application to the
Control of the Results of Numerical Algorithms]",
journal = j-NUM-MATH,
volume = "23",
number = "1",
pages = "63--72",
month = feb,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290H
(Linear algebra); C4110 (Error analysis in numerical
methods); C4140 (Linear algebra); C5230 (Digital
arithmetic methods)",
corpsource = "Inst. Fran{\c{c}}ais P{\'e}trole, Rueil-Malmaison,
France",
fjournal = "Numerische Mathematik",
keywords = "algebraic equations; approximation; digital
arithmetic; digital computer; error analysis; linear
algebra; linear systems; matrix algebra; matrix
inversion; na; numerical calculations; numerical error;
numerical methods; rounding error; significant digits;
statistical evaluation; stochastic analysis; validity",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{LaPorte:1974:MND,
author = "M. {La Porte} and J. Vignes",
title = "{M{\'e}thode} Num{\'e}rique de {D}{\'e}tection de la
Singularit{\'e} d'Une Matrice. ({French}) [{Numerical}
method of detection of matrix singularity]",
journal = j-NUM-MATH,
volume = "23",
number = "1",
pages = "73--81",
month = feb,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Inst. Fran{\c{c}}ais P{\'e}trole, Rueil-Malmaison,
France",
fjournal = "Numerische Mathematik",
keywords = "degree of conditioning; finite precision; matrix
algebra; matrix singularity; nla; numerical method;
pert; rank determination; well conditioned",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Morel:1974:PIV,
author = "Paul Morel",
title = "Sur le probl{\`e}me inverse des valeurs propres.
({French}) [{On} the Inverse Eigenvalue Problem]",
journal = j-NUM-MATH,
volume = "23",
number = "1",
pages = "83--94",
month = feb,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "French",
}
@Article{Herz:1974:ZTA,
author = "B. Herz",
title = "{Zerfallende Tridiagonalematrizen und
aneinandergesetzte Sturmsche Ketten}. ({German})
[{Decomposable tridiagonal matrices and contiguous
{Sturm} sequences}]",
journal = j-NUM-MATH,
volume = "23",
number = "1",
pages = "95--98",
month = feb,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Jun 01 12:22:46 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Tech. Univ. Berlin, West Germany",
fjournal = "Numerische Mathematik",
keywords = "algebraic correct algorithm; bisection method;
decomposable matrices; eigenvalues; eigenvalues and
eigenfunctions; matrix algebra; symmetric tridiagonal
matrix",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Nicolaides:1974:GAS,
author = "R. A. Nicolaides",
title = "On a Geometrical Aspect of {SOR} and the Theory of
Consistent Ordering for Positive Definite Matrices",
journal = j-NUM-MATH,
volume = "23",
number = "2",
pages = "99--104",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
annote = "Cited in \cite{govl:89}.",
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "California Inst. Technol., Pasadena, CA, USA",
fjournal = "Numerische Mathematik",
keywords = "consistent ordering; geometrical aspect; iterative
methods; linear algebra; nla; positive definite
matrices; positive definite matrix; relaxation;
similarity transformation; SOR; successive
overrelaxation operator",
treatment = "T Theoretical or Mathematical",
}
@Article{Barrar:1974:EOI,
author = "R. B. Barrar and Henry L. Loeb and Helmut Werner",
title = "On the existence of optimal integration formulas for
analytic functions",
journal = j-NUM-MATH,
volume = "23",
number = "2",
pages = "105--117",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Oregon, Eugene, OR, USA",
fjournal = "Numerische Mathematik",
keywords = "analytic functions; existence; Hilbert space;
integration; optimal integration formulas",
treatment = "T Theoretical or Mathematical",
}
@Article{Russell:1974:CSB,
author = "Robert D. Russell",
title = "Collocation for systems of boundary value problems",
journal = j-NUM-MATH,
volume = "23",
number = "2",
pages = "119--133",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Simon Fraser Univ., Burnaby, BC, Canada",
fjournal = "Numerische Mathematik",
keywords = "boundary value problems; boundary-value problems;
collocation; first order differential equations
subject; multipoint linear constraints; nonlinear
differential equations; nonlinear system; piecewise
polynomial functions; polynomials; Richardson's
extrapolation",
treatment = "T Theoretical or Mathematical",
}
@Article{Schwarz:1974:MCO,
author = "H. R. Schwarz",
title = "The method of coordinate overrelaxation for {$(A-
\lambda B)x=0$}",
journal = j-NUM-MATH,
volume = "23",
number = "2",
pages = "135--151",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Univ. Zurich, Switzerland",
fjournal = "Numerische Mathematik",
keywords = "asymptotic convergence; coordinate overrelaxation;
eigenvalues and eigenfunctions; eigenvector; general
eigenvalue problem; iteration matrix; iterative
methods; matrix algebra; smallest eigenvalue; spline
functions; successive overrelaxation method; vibrating
string",
treatment = "T Theoretical or Mathematical",
}
@Article{King:1974:NEB,
author = "J. T. King",
title = "New error bounds for the penalty method and
extrapolation",
journal = j-NUM-MATH,
volume = "23",
number = "2",
pages = "153--165",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); C4110
(Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
corpsource = "Univ. Cincinnati, OH, USA",
fjournal = "Numerische Mathematik",
keywords = "Babu{\v{s}}ka penalty method; boundary weight; cubic
spline approximants; error analysis; error bounds;
extrapolation; function approximation; penalty method;
quasioptimal approximate solution; splines
(mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Gekeler:1974:CND,
author = "E. Gekeler",
title = "On the convergence of the {von Neumann} difference
approximation to hyperbolic initial boundary value
problems",
journal = j-NUM-MATH,
volume = "23",
number = "2",
pages = "167--174",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. Stuttgart, West Germany",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; convergence; convergence of
numerical methods; eigenvalue expansion; generalised
wave equation; hyperbolic initial boundary value
problems; implicit finite difference approximation;
partial differential equations; uniform convergent; von
Neumann difference approximation",
treatment = "T Theoretical or Mathematical",
}
@Article{Kedem:1974:TGL,
author = "Gershon Kedem and S. K. Zaremba",
title = "A table of good lattice points in three dimensions",
journal = j-NUM-MATH,
volume = "23",
number = "2",
pages = "175--180",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Wisconsin, Madison, WI, USA",
fjournal = "Numerische Mathematik",
keywords = "good lattice points; integration; numerical
computation; table; three dimensional lattice points;
three dimensions; triple integrals",
treatment = "T Theoretical or Mathematical",
}
@Article{Schuller:1974:OCC,
author = "G{\"u}nther Schuller",
title = "On the order of convergence of certain {quasi-Newton}
methods",
journal = j-NUM-MATH,
volume = "23",
number = "2",
pages = "181--192",
month = apr,
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques)",
corpsource = "Univ. Wurzburg, West Germany",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; function
minimisations; minimisation; order of convergence;
quasi Newton methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Douglas:1975:SPF,
author = "Jim {Douglas, Jr.} and Todd Dupont and Lars Wahlbin",
title = "The stability in {$L^q$} of the {$L^2$}-projection
into finite element function spaces",
journal = j-NUM-MATH,
volume = "23",
number = "3",
pages = "193--197",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Cornell Univ., Ithaca, NY, USA",
fjournal = "Numerische Mathematik",
keywords = "finite element analysis; finite element function
spaces; function approximation; quasioptimal
approximation; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{deHoog:1975:IRM,
author = "F. de Hoog and R. Weiss",
title = "Implicit {Runge--Kutta} methods for second kind
{Volterra} integral equations",
journal = j-NUM-MATH,
volume = "23",
number = "3",
pages = "199--213",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Univ. California, Los Angeles, CA, USA",
fjournal = "Numerische Mathematik",
keywords = "A stable; convergent; implicit Runge/Kutta methods;
integral equations; interpolatory quadrature formulae;
numerically stable; quadrature formulae; Runge--Kutta
methods; second kind Volterra integral equations;
stiffly A stable",
treatment = "T Theoretical or Mathematical",
}
@Article{Chatelin:1975:MRR,
author = "F. Chatelin and M. J. Lemordant",
title = "La m{\'e}thode de {Rayleigh--Ritz} appliqu{\'e}e {\`a}
des op{\'e}rateurs diff{\'e}rentielles elliptiques ---
ordres de convergence des {\'e}l{\'e}ments propres.
({French}) [{The Rayleigh--Ritz} method applied to
elliptic differential operators --- orders of
convergence of proper elements]",
journal = j-NUM-MATH,
volume = "23",
number = "3",
pages = "215--222",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Inst. Recherches and Mathematiques Avanc{\'e}es,
Grenoble, France",
fjournal = "Numerische Mathematik",
keywords = "asymptotic equalities; compact selfadjoint operator;
convergence; convergence of numerical methods; eigen
elements; eigenvalues and eigenfunctions; elliptic
differential operators; function approximation;
Rayleigh/Ritz method; self adjoint elliptic
differential operators",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Sanchez:1975:ISB,
author = "David A. S{\'a}nchez",
title = "An iteration scheme for boundary value\slash
alternative problems",
journal = j-NUM-MATH,
volume = "23",
number = "3",
pages = "223--230",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290K (Nonlinear and functional equations); C4150
(Nonlinear and functional equations)",
corpsource = "Univ. California, Los Angeles, CA, USA",
fjournal = "Numerische Mathematik",
keywords = "auxiliary equation; bifurcation equation; boundary
value/alternative problems; boundary-value problems;
convergence; iteration scheme; iterative methods;
nonlinear boundary value problems; nonlinear
equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Thomas:1975:ASO,
author = "K. S. Thomas",
title = "On the approximate solution of operator equations",
journal = j-NUM-MATH,
volume = "23",
number = "3",
pages = "231--239",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); C4110
(Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
corpsource = "Oxford, Univ., UK",
fjournal = "Numerische Mathematik",
keywords = "approximate solution; discretisation methods; error
analysis; error estimates; function approximation;
linear operator equations; operator equations;
prolongations; restrictions",
treatment = "T Theoretical or Mathematical",
}
@Article{vanderSluis:1975:SSL,
author = "A. van der Sluis",
title = "Stability of the Solutions of Linear Least Squares
Problems",
journal = j-NUM-MATH,
volume = "23",
number = "3",
pages = "241--254",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); C4110
(Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
corpsource = "Rijksuniv, Utrecht-Uithof, Netherlands",
fjournal = "Numerische Mathematik",
keywords = "error analysis; errors; geometrical explanation; least
squares approximations; linear least squares problems;
orthogonal transformations; stability; upper bounds",
treatment = "T Theoretical or Mathematical",
}
@Article{Vitek:1975:BCP,
author = "Yehoshua Vitek",
title = "A bound connected with primitive matrices",
journal = j-NUM-MATH,
volume = "23",
number = "3",
pages = "255--260",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Technion-Israel Inst. Technol., Haifa, Israel",
fjournal = "Numerische Mathematik",
keywords = "bound; matrix algebra; primitive matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Pereyra:1975:MSD,
author = "V. Pereyra and E. G. Sewell",
title = "Mesh selection for discrete solution of boundary
problems in ordinary differential equations",
journal = j-NUM-MATH,
volume = "23",
number = "3",
pages = "261--268",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Depto. Computacion, Caracas, Venezuela",
fjournal = "Numerische Mathematik",
keywords = "boundary problems; boundary-value problems;
differential equations; discrete solution;
equidistributing meshes; error estimates; finite
difference approximations; local truncation error; mesh
selection; nonuniform meshes; ordinary differential
equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Fairweather:1975:EGM,
author = "G. Fairweather and J. P. Johnson",
title = "On the extrapolation of {Galerkin} methods for
parabolic problems",
journal = j-NUM-MATH,
volume = "23",
number = "3",
pages = "269--287",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. Kentucky, Lexington, KY, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; extrapolation; Galerkin
methods; initial boundary value problems; parabolic
problems; partial differential equations; Richardson
extrapolation",
treatment = "T Theoretical or Mathematical",
}
@Article{Wahlbin:1975:EEG,
author = "Lars Wahlbin",
title = "Error estimates for a {Galerkin} method for a class of
model equations for long waves",
journal = j-NUM-MATH,
volume = "23",
number = "4",
pages = "289--303",
month = aug,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290P
(Differential equations); C4110 (Error analysis in
numerical methods); C4170 (Differential equations)",
corpsource = "Cornell Univ., Ithaca, NY, USA",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; error analysis; error
estimates; Gelerkin method; long waves; model
equations; partial differential equations; periodic
initial value problem; piecewise polynomial spaces;
second order time discretization; wave equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Schiop:1975:SRP,
author = "Alexandru I. {\c{S}}chiop",
title = "On the stability of the {Ritz} procedure for nonlinear
problems",
journal = j-NUM-MATH,
volume = "23",
number = "4",
pages = "305--310",
month = aug,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290K (Nonlinear and functional equations); C4150
(Nonlinear and functional equations)",
corpsource = "Roumanian Acad. Sci., Bucharest, Romania",
fjournal = "Numerische Mathematik",
keywords = "Hilbert space; linear positive definite operator;
monotone nonlinear operator; nonlinear equation;
nonlinear equations; numerical methods; Ritz procedure;
stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Elliott:1975:CQR,
author = "David Elliott and D. F. Paget",
title = "On the convergence of a quadrature rule for evaluating
certain {Cauchy} principal value integrals",
journal = j-NUM-MATH,
volume = "23",
number = "4",
pages = "311--319",
month = aug,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "Univ. Tasmania, Hobart, Tas., Australia",
fjournal = "Numerische Mathematik",
keywords = "approximate evaluation; Cauchy principle value
integrals; convergence; convergence of numerical
methods; function approximation; Holder condition;
integration; quadrature rule",
treatment = "T Theoretical or Mathematical",
}
@Article{Reimer:1975:ESP,
author = "Manfred Reimer",
title = "{Auswertungsverfahren f{\"u}r Polynome in mehreren
Variablen}. ({German}) [{Evaluation schemes for
polynomials in more than one variable}]",
journal = j-NUM-MATH,
volume = "23",
number = "4",
pages = "321--336",
month = aug,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Fri May 30 07:29:32 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Univ. Dortmund, West Germany",
fjournal = "Numerische Mathematik",
keywords = "Clenshaw's method; error bounds; evaluation schemes;
function approximation; Horner's scheme; multivariable
polynomials; polynomials; stability",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1975:NEI,
author = "Walter Gautschi",
title = "Norm Estimates for Inverses of {Vandermonde}
Matrices",
journal = j-NUM-MATH,
volume = "23",
number = "4",
pages = "337--347",
month = aug,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Purdue Univ., La Fayette, IN, USA",
fjournal = "Numerische Mathematik",
keywords = "asymptotic estimates; inverses; matrix algebra; norm
estimates; scaling; Vandermonde matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Lafon:1975:BTM,
author = "Jean-Claude Lafon",
title = "Base tensorielle de matrices de {Hankel} (ou de
{Toeplitz}): Applications. ({French}) [{Tensorial}
bases of {Hankel} (or {Toeplitz}) matrices
Applications]",
journal = j-NUM-MATH,
volume = "23",
number = "4",
pages = "349--361",
month = aug,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Univ. Sci. and M{\'e}dicale, Grenoble, France",
fjournal = "Numerische Mathematik",
keywords = "Hankel matrices; lower triangular Toeplitz matrix;
matrix algebra; polynomial product; tensorial bases;
Toeplitz matrices",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Brezinski:1975:FCA,
author = "C. Brezinski",
title = "Forme confluente de l'$\varepsilon$-algorithme
topologique. ({French}) [{Confluent} form of the
topological $\varepsilon$-algorithm]",
journal = j-NUM-MATH,
volume = "23",
number = "4",
pages = "363--370",
month = aug,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "UER IEEA., Villeneuve d'Ascq, France",
fjournal = "Numerische Mathematik",
keywords = "confluent form; convergence; convergence of numerical
methods; matrix algebra; topological epsilon algorithm;
topological vector space; topology",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{McCormick:1975:IPS,
author = "Steve F. McCormick",
title = "An iterative procedure for the solution of constrained
nonlinear equations with application to optimization
problems",
journal = j-NUM-MATH,
volume = "23",
number = "5",
pages = "371--385",
month = oct,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); B0290F
(Interpolation and function approximation); B0290K
(Nonlinear and functional equations); C1180
(Optimisation techniques); C4130 (Interpolation and
function approximation); C4150 (Nonlinear and
functional equations)",
corpsource = "Colorado State Univ., Fort Collins, CO, USA",
fjournal = "Numerische Mathematik",
keywords = "constrained nonlinear equations; Hilbert spaces;
iterative methods; iterative procedure; nonlinear
equations; optimisation; optimization problems;
solution",
treatment = "T Theoretical or Mathematical",
}
@Article{Natterer:1975:DSR,
author = "Frank Natterer",
title = "{Das Differenzenverfahren f{\"u}r singul{\"a}re
Rand-Eigenwertaufgaben gew{\"o}nlicher
Differentialgleichungen}. ({German}) [{The difference
method for singular boundary\slash eigenvalues of
ordinary differential equations}]",
journal = j-NUM-MATH,
volume = "23",
number = "5",
pages = "387--409",
month = oct,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Fri May 30 07:36:21 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. Saarlandes, Saarbrucken, West Germany",
fjournal = "Numerische Mathematik",
keywords = "boundary value problem; boundary-value problems;
convergence of numerical methods; convergence rates;
difference equations; difference method; eigenvalues;
eigenvalues and eigenfunctions; second order
differential operators; singular; three point
discretisation",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Hald:1975:NTM,
author = "Ole H. Hald",
title = "On a {Newton-Moser} type method",
journal = j-NUM-MATH,
volume = "23",
number = "5",
pages = "411--426",
month = oct,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); B0290K
(Nonlinear and functional equations); C4110 (Error
analysis in numerical methods); C4130 (Interpolation
and function approximation); C4150 (Nonlinear and
functional equations)",
corpsource = "Univ. California, Berkeley, CA, USA",
fjournal = "Numerische Mathematik",
keywords = "arithmetic; error analysis; error bounds; iterative
method; iterative methods; Moser; Newton; nonlinear
equations; quadratically convergent; variant",
treatment = "T Theoretical or Mathematical",
}
@Article{Pittnauer:1975:AAG,
author = "E. Pittnauer",
title = "{Eine Aussage {\"u}ber Alternanten}. ({German}) [{A
proposition on alternants}]",
journal = j-NUM-MATH,
volume = "23",
number = "5",
pages = "427--432",
month = oct,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu May 29 22:05:36 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Ruhr-Univ. Bochum, West Germany",
fjournal = "Numerische Mathematik",
keywords = "alternants; error function; estimate; function
approximation; maxima; minima; polynomial",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Schroder:1975:ULB,
author = "Johan Schr{\"o}der",
title = "Upper and lower bounds for solutions of generalized
two-point boundary value problems",
journal = j-NUM-MATH,
volume = "23",
number = "5",
pages = "433--457",
month = oct,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. Koln, West Germany",
fjournal = "Numerische Mathematik",
keywords = "boundary value problems; boundary-value problems;
bounds; differential equations; generalized;
integrodifferential equations; lower; solutions; two
point; upper",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1975:OCV,
author = "Walter Gautschi",
title = "Optimally Conditioned {Vandermonde} Matrices",
journal = j-NUM-MATH,
volume = "24",
number = "1",
pages = "1--12",
month = feb,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); B0290H (Linear
algebra); C1180 (Optimisation techniques); C4140
(Linear algebra)",
corpsource = "Purdue Univ., W. Lafayette, IN, USA",
fjournal = "Numerische Mathematik",
keywords = "condition number; matrix algebra; minimisation;
minimize; nonlinear constraints; nonlinear minimax
problem; nonlinear programming; optimally conditioned
Vandermonde matrices; symmetric point configurations",
treatment = "T Theoretical or Mathematical",
}
@Article{Salkauskas:1975:WFC,
author = "K. Salkauskas",
title = "On weight functions for {Chebyshev} quadrature",
journal = j-NUM-MATH,
volume = "24",
number = "1",
pages = "13--18",
month = feb,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0230 (Integral transforms); B0290F (Interpolation
and function approximation); C1130 (Integral
transforms); C4130 (Interpolation and function
approximation)",
corpsource = "Dept. of Math. Statistics and Computing Sci., Univ. of
Calgary, Alta., Canada",
fjournal = "Numerische Mathematik",
keywords = "Chebyshev approximation; Chebyshev quadrature;
integral transforms; moment sequences; probabilistic;
transforms; weight functions",
treatment = "T Theoretical or Mathematical",
}
@Article{Greenberg:1975:ADR,
author = "Harold Greenberg",
title = "An algorithm for determining redundant inequalities
and all solutions to convex polyhedra",
journal = j-NUM-MATH,
volume = "24",
number = "1",
pages = "19--26",
month = feb,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Statistics, Tel-Aviv Univ., Tel-Aviv,
Israel",
fjournal = "Numerische Mathematik",
keywords = "convex polyhedra; function approximation; linear
inequalities; polyhedral cone; redundant inequalities;
unbounded polyhedra",
treatment = "T Theoretical or Mathematical",
}
@Article{Omodei:1975:SRP,
author = "B. J. Omodei and R. S. Anderssen",
title = "Stability of the {Rayleigh--Ritz} procedure for
nonlinear two-point boundary value problems",
journal = j-NUM-MATH,
volume = "24",
number = "1",
pages = "27--38",
month = feb,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Australian Nat. Univ., Canberra, ACT, Australia",
fjournal = "Numerische Mathematik",
keywords = "B-splines; boundary-value problems; bounded polyhedra;
nonlinear two point boundary value problems; partial
differential equations; Rayleigh Ritz procedure;
stability; strongly minimal",
treatment = "T Theoretical or Mathematical",
}
@Article{LaPorte:1975:EIS,
author = "M. {La Porte} and J. Vignes",
title = "Evaluation de l'incertitude sur la solution d'un
syst\`eme lin{\'e}aire. ({French}) [{Evaluation} of the
uncertainty in the solution of a linear system]",
journal = j-NUM-MATH,
volume = "24",
number = "1",
pages = "39--47",
month = feb,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290H
(Linear algebra); C4110 (Error analysis in numerical
methods); C4140 (Linear algebra)",
corpsource = "Inst. Fran{\c{c}}ais du P{\'e}trole, Rueil Malmaison,
France",
fjournal = "Numerische Mathematik",
keywords = "accuracy; error analysis; finite precision; linear
algebra; linear algebraic systems; linear system; nla;
numerical method; pert",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Deutsch:1975:MNL,
author = "Emeric Deutsch",
title = "On matrix norms and logarithmic norms",
journal = j-NUM-MATH,
volume = "24",
number = "1",
pages = "49--51",
month = feb,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Polytech. Inst. of New York, Brooklyn, NY, USA",
fjournal = "Numerische Mathematik",
keywords = "ellipsoidal norms; infimums; logarithmic norms; matrix
algebra; matrix norms; spectral abscissa; spectral
radius",
treatment = "T Theoretical or Mathematical",
}
@Article{Mock:1975:GPE,
author = "M. S. Mock",
title = "A global a posteriori error estimate for quasilinear
elliptic problems",
journal = j-NUM-MATH,
volume = "24",
number = "1",
pages = "53--61",
month = feb,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290P
(Differential equations); C4110 (Error analysis in
numerical methods); C4170 (Differential equations)",
corpsource = "Dept. of Math., Rutgers Univ., New Brunswick, NJ,
USA",
fjournal = "Numerische Mathematik",
keywords = "arbitrary Reynolds number; error analysis; finite
element analysis; finite element methods; Fourier
series method; global a posteriori error estimate;
partial differential equations; quasilinear elliptic
problems; stationary Navier Stokes problem",
treatment = "T Theoretical or Mathematical",
}
@Article{Deutsch:1975:BGG,
author = "E. Deutsch and C. Zenger",
title = "On {Bauer}'s generalized {Gershgorin} discs",
journal = j-NUM-MATH,
volume = "24",
number = "1",
pages = "63--70",
month = feb,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Fachhochschule des Landes Kartause, West Germany",
fjournal = "Numerische Mathematik",
keywords = "Bauer's generalized Gershgorin discs; eigenvalue
inclusion theorems; eigenvalues and eigenfunctions;
matrices; matrix algebra; Perron Frobenius theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Yamamoto:1975:DEI,
author = "Tetsuro Yamamoto",
title = "On the distribution of errors in the iterative
solution of a system of linear equations",
journal = j-NUM-MATH,
volume = "24",
number = "1",
pages = "71--79",
month = feb,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290H
(Linear algebra); C4110 (Error analysis in numerical
methods); C4140 (Linear algebra)",
corpsource = "Dept. of Math., Ehime Univ., Matsuyama, Japan",
fjournal = "Numerische Mathematik",
keywords = "error analysis; error distribution; iterative
solution; linear equations; matrix algebra; Peradze's
theorem; real matrix; real vector",
treatment = "T Theoretical or Mathematical",
}
@Article{Henrich:1975:NES,
author = "C. J. Henrich",
title = "On the numerical evaluation of a sum involving
binomial coefficients",
journal = j-NUM-MATH,
volume = "24",
number = "1",
pages = "81--83",
month = feb,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Dept. of Math., Fordham Univ., Bronx, NY, USA",
fjournal = "Numerische Mathematik",
keywords = "alternating signs; binomial coefficients; function
evaluation; integral; logarithmic Weibull distribution;
numerical evaluation of a sum",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1975:CMC,
author = "G. W. Stewart",
title = "The convergence of the method of conjugate gradients
at isolated extreme points of the spectrum",
journal = j-NUM-MATH,
volume = "24",
number = "2",
pages = "85--93",
month = apr,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Carnegie-Mellon Univ., Computer Sci. Dept.,
Pittsburgh, PA, USA",
fjournal = "Numerische Mathematik",
keywords = "bounds; convergence; convergence of numerical methods;
eigenvalue; eigenvalues and eigenfunctions; error
vectors; isolated extreme points; linear system; matrix
algebra; method of conjugate gradients",
treatment = "T Theoretical or Mathematical",
}
@Article{Nicolaides:1975:LCC,
author = "R. A. Nicolaides",
title = "On the local convergence of certain two step iterative
procedures",
journal = j-NUM-MATH,
volume = "24",
number = "2",
pages = "95--101",
month = apr,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Imperial Coll. of Sci. and Technol.,
London, UK",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; iterative methods;
local convergence; second order Richardson algorithm;
two step iterative procedures",
treatment = "T Theoretical or Mathematical",
}
@Article{Brezzi:1975:MEF,
author = "F. Brezzi",
title = "Sur la m{\'e}thode des {\'e}l{\'e}ments finis hybrides
pour le probl{\`e}me biharmonique. ({French}) [{On}
Hybrid Finite Element Methods for the Biharmonic
Problem]",
journal = j-NUM-MATH,
volume = "24",
number = "2",
pages = "103--131",
month = apr,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
language = "French",
}
@Article{Davies:1975:GCH,
author = "M. Davies and B. Dawson",
title = "On the global convergence of {Halley}'s iteration
formula",
journal = j-NUM-MATH,
volume = "24",
number = "2",
pages = "133--135",
month = apr,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Univ. of Surrey, Guildford, UK",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; function
approximation; global convergence; Halley's iteration
formula; iterative methods; Ostrowski's square root
technique; point iterative process",
treatment = "T Theoretical or Mathematical",
}
@Article{Hofmann:1975:MHA,
author = "Wolf Hofmann",
title = "{Monotonies{\"a}tze f{\"u}r hyperbolische
Anfangswertaufgaben und Einschlie{\ss}ung von
L{\"o}sungen}. ({German}) [{Monotonicity theorems for
hyperbolic initial value problems and solution
enclosure}]",
journal = j-NUM-MATH,
volume = "24",
number = "2",
pages = "137--149",
month = apr,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Fri May 30 07:44:49 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Inst. Angewandte Math., Univ. Hamburg, Hamburg, West
Germany",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; hyperbolic differential
operators; hyperbolic initial value problems; iteration
methods; iterative methods; monotonicity properties;
numerical examples; partial differential equations",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Lightbourne:1975:PSF,
author = "J. H. {Lightbourne, III} and R. H. {Martin, Jr.}",
title = "Projection seminorms and the field of values of linear
operators",
journal = j-NUM-MATH,
volume = "24",
number = "2",
pages = "151--161",
month = apr,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Dept. of Math., North Carolina State Univ., Raleigh,
NC, USA",
fjournal = "Numerische Mathematik",
keywords = "algebra; field of values; growth estimates; Hilbert
space; linear operators; number theory; numerical
range; projection seminorms",
treatment = "T Theoretical or Mathematical",
}
@Article{Pinkus:1975:AMN,
author = "Allan Pinkus",
title = "Asymptotic minimum norm quadrature formulae",
journal = j-NUM-MATH,
volume = "24",
number = "2",
pages = "163--175",
month = apr,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0230 (Integral transforms); C1130 (Integral
transforms)",
corpsource = "Math. Sci. Dept. IBM, Yorktown Heights, NY, USA",
fjournal = "Numerische Mathematik",
keywords = "asymptotic limit; Hilbert spaces; minimum norm
quadrature formulae; transforms",
treatment = "T Theoretical or Mathematical",
}
@Article{Schneider:1975:VRR,
author = "Claus Schneider",
title = "{Vereinfachte Rekursionen zur Richardson-Extrapolation
in Spezialf{\"a}llen}. ({German}) [{Simplified
recursions for {Richardson} extrapolation in special
cases}]",
journal = j-NUM-MATH,
volume = "24",
number = "2",
pages = "177--184",
month = apr,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Fri May 30 07:46:26 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Fachbereich Math. der Johannes Gutenberg-Univ., Mainz,
West Germany",
fjournal = "Numerische Mathematik",
keywords = "algebraic endpoint singularities; finite algorithm;
generalized asymptotic expansions; integration;
logarithmic endpoint singularities; numerical
integration; numerical methods; recursions; recursive
functions; Richardsons extrapolation; Romberg type
quadrature",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Rose:1975:WAE,
author = "Milton E. Rose",
title = "Weak-element approximations to elliptic differential
equations",
journal = j-NUM-MATH,
volume = "24",
number = "3",
pages = "185--204",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
fjournal = "Numerische Mathematik",
keywords = "differential equations; elliptic differential
equations; finite element analysis; finite element
methods; local approximations; weak element
approximations",
treatment = "T Theoretical or Mathematical",
}
@Article{Kutt:1975:NEP,
author = "H. R. Kutt",
title = "The numerical evaluation of principal value integrals
by finite-part integration",
journal = j-NUM-MATH,
volume = "24",
number = "3",
pages = "205--210",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Nat. Res. Inst. for Math. Sci., CSIR, Pretoria, South
Africa",
fjournal = "Numerische Mathematik",
keywords = "computational purposes; finite part integration;
integration; numerical evaluation; principal value
integrals; scalar products",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Kiluchi:1975:FES,
author = "Fumio Kiluchi",
title = "On a finite element scheme based on the discrete
{Kirchhoff} assumption",
journal = j-NUM-MATH,
volume = "24",
number = "3",
pages = "211--231",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "A0340 (Classical mechanics of continuous media:
general mathematical aspects); A4620 (Continuum
mechanics); B0290B (Error analysis in numerical
methods); B0290F (Interpolation and function
approximation); C4110 (Error analysis in numerical
methods); C4130 (Interpolation and function
approximation); C7440 (Civil and mechanical engineering
computing)",
corpsource = "Inst. of Space and Aeronautical Sci., Univ. of Tokyo,
Tokyo, Japan",
fjournal = "Numerische Mathematik",
keywords = "approximation theory; bending; Dirichlet conditions;
discrete Kirchhoff assumption; eigenvalue problems;
error analysis; error estimates; finite element
analysis; finite element scheme; mechanical
engineering; numerical experiments; plate bending
problems; triangular element",
treatment = "T Theoretical or Mathematical",
}
@Article{Hornung:1975:EMN,
author = "U. Hornung",
title = "{Euler} method for neutral functional-differential
equation",
journal = j-NUM-MATH,
volume = "24",
number = "3",
pages = "233--240",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Inst. f{\"u}r Numerische und Instrumentelle Math.,
Westfalische Wilhelms-Univ., M{\"u}nster, West
Germany",
fjournal = "Numerische Mathematik",
keywords = "approximating polygon; approximation theory; Euler
method; initial value problem; Lipschitz continuous
solution; neutral functional differential equation;
nonlinear differential equations; polygonal methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Pruess:1975:HOA,
author = "S. Pruess",
title = "High order approximations to {Sturm--Liouville}
eigenvalues",
journal = j-NUM-MATH,
volume = "24",
number = "3",
pages = "241--247",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Univ. of New Mexico, Albuquerque, NM,
USA",
fjournal = "Numerische Mathematik",
keywords = "approximation theory; eigenvalues and eigenfunctions;
error; high order approximations; local approximating
polynomials; low order methods; Sturm Liouville
eigenvalues",
treatment = "T Theoretical or Mathematical",
}
@Article{Marcowitz:1975:FAS,
author = "U. Marcowitz",
title = "{Fehlerabsch{\"a}tzung bei Anfangswertaufgaben f{\"u}r
Systeme von gew{\"o}nlichen Differentialgleichungen mit
Anwendungen auf das REENTRY-Problem}. ({German})
[{Error estimation in initial value problems for
systems of ordinary differential equations with an
application to the {REENTRY} problem}]",
journal = j-NUM-MATH,
volume = "24",
number = "3",
pages = "249--275",
month = jun,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Jun 01 11:03:41 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Inst. of Math., Univ. zu Koln, Koln, West Germany",
fjournal = "Numerische Mathematik",
keywords = "approximation theory; arbitrary approximation;
boundary-value problems; defect; differential
equations; error analysis; error estimation; initial
value problems; nonlinear differential inequalities;
numerical realization; ordinary differential equations;
RENTRY problem",
language = "German",
}
@Article{Meyer:1975:SAS,
author = "G. G. L. Meyer",
title = "A systematic approach to the synthesis of algorithms",
journal = j-NUM-MATH,
volume = "24",
number = "4",
pages = "277--289",
month = aug,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4240 (Programming and algorithm theory)",
corpsource = "Dept. of Electrical Engng., Johns Hopkins Univ.,
Baltimore, MD, USA",
fjournal = "Numerische Mathematik",
keywords = "algorithm synthesis; algorithm theory; Frank/Wolfe
algorithm; iterative algorithms; transformations",
treatment = "T Theoretical or Mathematical",
}
@Article{Hanson:1975:ANM,
author = "Richard J. Hanson and James L. Phillips",
title = "An adaptive numerical method for solving linear
{Fredholm} integral equations of the first kind",
journal = j-NUM-MATH,
volume = "24",
number = "4",
pages = "291--307",
month = aug,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
annote = "Cited in {\AA ke Bj\"orck}'s bibliography on least
squares, which is available by anonymous ftp from {\tt
math.liu.se} in {\tt pub/references}.",
classification = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Dept. of Math., Washington State Univ., Pullman, WA,
USA",
fjournal = "Numerische Mathematik",
keywords = "adaptive numerical method; integral equation; integral
equations; iterative methods; linear Fredholm integral
equations of the first kind; na; regularization; spline
function; stabilized linear algebraic system",
treatment = "T Theoretical or Mathematical",
}
@Article{Gunther:1975:ZQG,
author = "Claus G{\"u}nther",
title = "{Zweidimensionale Quadraturformeln von Grad 7 mit 14
Punkten}. ({German}) [{Two dimensional quadrature
formulae of degree seven with fourteen common zeros}]",
journal = j-NUM-MATH,
volume = "24",
number = "4",
pages = "309--316",
month = aug,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Jun 01 11:06:11 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Kernforshungszentrum Inst. Neutronenphys. und
Reaklortech., Karlsruhe, West Germany",
fjournal = "Numerische Mathematik",
keywords = "degree seven; integration; orthogonal polynomials;
quadrature formulae",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Voss:1975:PRN,
author = "H. Voss",
title = "{Projectionsverfahren f{\"u}r Randwertaufgaben mit
nichtlinearen Randbedingungen}. ({German}) [{Projection
methods for boundary value problems with nonlinear
boundary conditions}]",
journal = j-NUM-MATH,
volume = "24",
number = "4",
pages = "317--329",
month = aug,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Jun 01 11:07:31 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Inst. Angewandte Math., Univ. Hamburg, Hamburg, West
Germany",
fjournal = "Numerische Mathematik",
keywords = "boundary value problems; boundary-value problems;
convergence; differential equations; Frechet
differentiable operator; Galerkin's method; nonlinear
boundary conditions; projection methods; splines",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Busch:1975:EAM,
author = "W. Busch and R. Esser and W. Hackbusch and U.
Herrmann",
title = "Extrapolation applied to the method of characteristics
for a first order system of two partial differential
equations. {I}. The initial value problem",
journal = j-NUM-MATH,
volume = "24",
number = "4",
pages = "331--353",
month = aug,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Math. Inst., Tech. Univ., M{\"u}nchen, West Germany",
fjournal = "Numerische Mathematik",
keywords = "ALGOL program; boundary value problems; boundary-value
problems; Cauchy's initial value problem;
discretization; Euler's method; first order system;
hyperbolic systems; method of characteristics; midpoint
rule; partial differential equations; step size
extrapolation",
treatment = "T Theoretical or Mathematical",
}
@Article{Grigorieff:1975:DAEa,
author = "Rolf Dieter Grigorieff",
title = "{Diskrete Approximation von Eigenwertproblemen. I.
Qualitative Konvergenz}. ({German}) [{Discrete
approximation of the eigenvalue problem. {I}.
Qualitative convergence}]",
journal = j-NUM-MATH,
volume = "24",
number = "4",
pages = "355--374",
month = aug,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed May 28 21:45:50 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Tech. Univ. Berlin, Fachbereich Math., Berlin, West
Germany",
fjournal = "Numerische Mathematik",
keywords = "convergence of numerical methods; discrete
approximation; eigenvalue problem; eigenvalues and
eigenfunctions; qualitative convergence",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Demmler:1975:OMS,
author = "A. Demmler and C. Reinsch",
title = "Oscillation matrices with spline smoothing",
journal = j-NUM-MATH,
volume = "24",
number = "5",
pages = "375--382",
month = oct,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290H (Linear algebra); C4130 (Interpolation and