%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "3.07",
%%% date = "18 October 2007",
%%% time = "13:02:21 MDT",
%%% filename = "nummath.bib",
%%% address = "University of Utah
%%% Department of Mathematics, 110 LCB
%%% 155 S 1400 E RM 233
%%% Salt Lake City, UT 84112-0090
%%% USA",
%%% telephone = "+1 801 581 5254",
%%% FAX = "+1 801 581 4148",
%%% URL = "http://www.math.utah.edu/~beebe",
%%% checksum = "50730 69675 286513 2793858",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "BibTeX, bibliography, Numerische Mathematik",
%%% license = "public domain",
%%% supported = "yes",
%%% docstring = "This is a COMPLETE bibliography of
%%% publications in the journal Numerische
%%% Mathematik (CODEN NUMMA7, ISSN 0029-599X
%%% (print), 0945-3245 (electronic)), which begin
%%% publishing in 1959. This file covers the
%%% years 1959--1999. The companion files
%%% nummath20xx.bib cover later decades.
%%%
%%% There were from three to eight issues per
%%% year from 1959 to 1985, and since then,
%%% twelve per year.
%%%
%%% The journal is published by Springer-Verlag.
%%%
%%% At version 3.07, the year coverage looked
%%% like this:
%%%
%%% 1959 ( 14) 1974 ( 45) 1989 ( 95)
%%% 1960 ( 30) 1975 ( 67) 1990 ( 99)
%%% 1961 ( 28) 1976 ( 75) 1991 ( 85)
%%% 1962 ( 45) 1977 ( 72) 1992 ( 96)
%%% 1963 ( 39) 1978 ( 75) 1993 ( 76)
%%% 1964 ( 43) 1979 ( 72) 1994 ( 84)
%%% 1965 ( 49) 1980 ( 71) 1995 ( 81)
%%% 1966 ( 65) 1981 ( 72) 1996 ( 68)
%%% 1967 ( 56) 1982 ( 73) 1997 ( 76)
%%% 1968 ( 88) 1983 ( 50) 1998 ( 83)
%%% 1969 ( 50) 1984 ( 94) 1999 ( 87)
%%% 1970 ( 84) 1985 ( 77) 2000 ( 0)
%%% 1971 ( 76) 1986 ( 97) 2001 ( 0)
%%% 1972 ( 74) 1987 ( 72) 2002 ( 1)
%%% 1973 ( 71) 1988 ( 107)
%%%
%%% Article: 2861
%%% Book: 1
%%%
%%% Total entries: 2862
%%%
%%% Despite its German title, most of the
%%% articles in this journal are in English; only
%%% 85 (3%) are in French (including, curiously,
%%% one whose title is in English!), and 310
%%% (11%) are in German. English translations
%%% are supplied for all of the French and German
%%% titles.
%%%
%%% Cross-references are supplied for all
%%% corrigenda and errata, so that citing one
%%% will automatically provide citations of the
%%% others.
%%%
%%% The journal has a gopher site at
%%%
%%% gopher://trick.ntp.springer.de/11/TOC/211/
%%%
%%% with tables of contents for 1993--1997, and a
%%% World Wide Web site at
%%%
%%% http://link.springer.de/link/service/journals/00211/tocs.htm
%%%
%%% with tables of contents and abstracts for
%%% 1994--2000, and a home page at
%%%
%%% http://link.springer.de/journals/nummath/
%%%
%%% Currently paid-up journal subscribers can
%%% obtain access to the full-text electronic
%%% edition of the journal in PDF and
%%% compressed PostScript formats. For
%%% details, visit the World Wide Web site
%%%
%%% http://science.springer.de/nmee/nm-main.htm.
%%%
%%% Beginning with Volume 67 Number 1 (1994),
%%% URLs pointing to abstracts are included
%%% with each entry. Their names are
%%% constructed systematically from the volume,
%%% number, initial page, and year, so that
%%% they can be, and have been, generated
%%% automatically by software. However, the
%%% publisher's Web site is about a year behind
%%% the journal, so not all of the URLs given
%%% below are reachable yet. The abstract pages
%%% contain further links to the full text which
%%% are accessible to qualified subscribers, as
%%% noted above.
%%%
%%% This journal is unusual in that some volumes
%%% span two years, some issues are assigned two
%%% consecutive issue numbers, and no months were
%%% clearly associated with issue numbers until
%%% volume 35, number 1, in 1980. [Actually,
%%% there WAS a tiny day/month stamp at the
%%% bottom of the covers for volumes 14--34, but
%%% this bibliography does not yet incorporate
%%% that information.] Citations in the journal
%%% to papers in the journal normally just give
%%% volume, pages, and year data. Volumes 1--13
%%% (1959--1969) had no assigned issue numbers at
%%% all, just a volume number.
%%%
%%% And now for a historical note: Twenty-four of
%%% these articles were pre-publications in
%%% Numerische Mathematik during the years
%%% 1965--1970 of all but five of the chapters of
%%% the famous book edited by Wilkinson and
%%% Reinsch in 1971, the ``Handbook of Automatic
%%% Computation, Volume II, Linear Algebra'',
%%% often known as HACLA, or just ``the yellow
%%% book''.
%%%
%%% This may have been the first serious attempt
%%% to publish high-quality working numerical
%%% software. Although the publication language
%%% chosen was Algol 60, the algorithms,
%%% sometimes with improvements, were later
%%% incorporated as Fortran subroutines in the
%%% even-more famous EISPACK (1976) and LINPACK
%%% (1979) libraries, and those in turn were
%%% merged into the highly-developed LAPACK
%%% system, which is available in Fortran and C,
%%% and later, the LAPACK++ system in C++.
%%%
%%% Cross-references to the HACLA book are
%%% provided for all those twenty-four articles
%%% in the bibliography below.
%%%
%%% The great success of this software
%%% publication certainly provided evidence of
%%% the value of such work, and in 1975, the
%%% journal ACM Transactions on Mathematical
%%% Software was formed to carry on the tradition
%%% of HACLA, and the ACM Algorithm collection. A
%%% total of 792 high-quality algorithms have
%%% been published this way by Spring 1999.
%%%
%%% The initial draft of entries for 1990--1996
%%% was derived from the OCLC Contents1st
%%% database. Additions were then made from all
%%% of the bibliographies in the TeX User Group
%%% collection, from bibliographies in the
%%% author's personal files, from the Compendex
%%% databases (1980--1999), from the IEEE INSPEC
%%% database (1970--1997), from the MathSciNet
%%% database, from the European Mathematical
%%% Society (Zentrallblat fuer Mathematik)
%%% database, and from the computer science
%%% bibliography collection at
%%% ftp://ftp.ira.uka.de/pub/bibliography to
%%% which many people have contributed.
%%%
%%% Numerous errors in the sources noted above
%%% have been corrected. Spelling has been
%%% verified with the UNIX spell and GNU ispell
%%% programs using the exception dictionary
%%% stored in the companion file with extension
%%% .sok.
%%%
%%% BibTeX citation tags are uniformly chosen
%%% as name:year:abbrev, where name is the
%%% family name of the first author or editor,
%%% year is a 4-digit number, and abbrev is a
%%% 3-letter condensation of important title
%%% words. Citation tags were automatically
%%% generated by software developed for the
%%% BibNet Project.
%%%
%%% In this bibliography, entries are sorted in
%%% publication order within each journal,
%%% using bibsort -bypages.
%%%
%%% The checksum field above contains a CRC-16
%%% checksum as the first value, followed by the
%%% equivalent of the standard UNIX wc (word
%%% count) utility output of lines, words, and
%%% characters. This is produced by Robert
%%% Solovay's checksum utility.",
%%% }
%%% ====================================================================
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% macro, if necessary
@Preamble{
"\ifx \k \undefined \let \k = \c \fi"
}
%%%=====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|http://www.math.utah.edu/~beebe/|"}
@String{ack-sf = "Stefano Foresti,
Utah Supercomputing Institute,
University of Utah,
Salt Lake City, UT 84112, USA,
Tel: +1 801 581 3173,
FAX: +1 801 585 5366,
e-mail: \path|stefano@osiris.usi.utah.edu|"}
%%%=====================================================================
%%% Journal abbreviations:
@String{j-NUM-MATH = "Numerische Mathematik"}
%%%=====================================================================
%%% Publishers and their addresses:
@String{pub-SV = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg,
Germany~/ London, UK~/ etc."}
%%%=====================================================================
%%% Bibliography entries.
@Article{Stiefel:1959:DLT,
author = "E. Stiefel",
title = "{{\"U}ber diskrete und lineare
Tschebyscheff-Approximationen}. ({German}) [{On}
Discrete and Linear {Chebyshev} Approximations]",
journal = j-NUM-MATH,
volume = "1",
pages = "1--28",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Householder:1959:CME,
author = "Alston S. Householder and Friedrich L. Bauer",
title = "On Certain Methods for Expanding the Characteristic
Polynomial",
journal = j-NUM-MATH,
volume = "1",
pages = "29--37",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:40:54 1999",
bibsource = "Theory/Matrix.bib",
keywords = "characteristic polynomial; eig; nla",
}
@Article{Weisfeld:1959:OPS,
author = "M. Weisfeld",
title = "Orthogonal polynomials in several variables",
journal = j-NUM-MATH,
volume = "1",
pages = "38--40",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Perlis:1959:RAL,
author = "A. J. Perlis and K. Samelson",
title = "Report on the algorithmic language {ALGOL} by the
{ACM} committee on programming languages and the {GAMM}
committee on programming",
journal = j-NUM-MATH,
volume = "1",
pages = "41--60",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Collatz:1959:ELR,
author = "Lothar Collatz and J. Schroeder",
title = "{Einschlie{\ss}en der L{\"o}sungen von
Randwertaufgaben}. ({German}) [{Bracketing} Solutions
to Boundary Value Problems]",
journal = j-NUM-MATH,
volume = "1",
pages = "61--72",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Dueck:1959:FEL,
author = "W. Dueck",
title = "{Eine Fehlerabsch{\"a}tzung zum Einzelschrittverfahren
bei linearen Gleichungssystemen}. ({German}) [{An}
Error Bound for the Independent Step Method in Linear
Equation Systems]",
journal = j-NUM-MATH,
volume = "1",
pages = "73--77",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Kreyszig:1959:RUE,
author = "Erwin Kreyszig and John Todd",
title = "The radius of univalence of the error function",
journal = j-NUM-MATH,
volume = "1",
pages = "78--89",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Comet:1959:UAB,
author = "Stig Comet",
title = "{{\"U}ber die Anwendung von Bin{\"a}rmodellen in der
Theorie der Charaktere der symmetrischen Gruppen}.
({German}) [{On} the use of the Binary Model in the
Theory of Characters of Symmetric Groups]",
journal = j-NUM-MATH,
volume = "1",
pages = "90--109",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Walther:1959:NBG,
author = "A. Walther and H. Schappert",
title = "{Numerische Behandlung des Gelenkvierecks}. ({German})
[{Numerical} Treatment of General Quadrilaterals]",
journal = j-NUM-MATH,
volume = "1",
pages = "110--120",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Cohn:1959:NSR,
author = "Harvey Cohn",
title = "Numerical study of the representation of a totally
positive quadratic integer as the sum of quadratic
integral squares",
journal = j-NUM-MATH,
volume = "1",
pages = "121--134",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Bertram:1959:VFR,
author = "G. Bertram",
title = "{Versch{\"a}rfung einer Fehlerabsch{\"a}tzung zum
Ritz-Galerkinschen Verfahren von Kryloff f{\"u}r
Randwertaufgaben}. ({German}) [{Tightening} of an Error
Bound for the {Ritz-Galerkin} Method for {Krylov}
Boundary Value Problems]",
journal = j-NUM-MATH,
volume = "1",
pages = "135--141",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
note = "See correction \cite{Bertram:1960:BMA}.",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Wynn:1959:PEC,
author = "P. Wynn",
title = "On the propagation of error in certain non-linear
algorithms",
journal = j-NUM-MATH,
volume = "1",
pages = "142--149",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Wilkinson:1959:EZIa,
author = "J. H. Wilkinson",
title = "The evaluation of the zeros of ill-conditioned
polynomials. {I}",
journal = j-NUM-MATH,
volume = "1",
pages = "150--166",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Wilkinson:1959:EZIb,
author = "J. H. Wilkinson",
title = "The evaluation of the zeros of ill-conditioned
polynomials. {II}",
journal = j-NUM-MATH,
volume = "1",
pages = "167--180",
month = dec,
year = "1959",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Stiefel:1960:NJE,
author = "E. Stiefel",
title = "Note on {Jordan} elimination, linear programming and
{Tchebyscheff} approximation",
journal = j-NUM-MATH,
volume = "2",
pages = "1--17",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Wetterling:1960:EKB,
author = "W. Wetterling",
title = "{Zum Einschlie{\ss}ungssatz von Kryloff-Bogoliubov
f{\"u}r allgemeine Eigenwertaufgaben bei
gew{\"o}hnlichen Differentialgleichungen}. ({German})
[{An} enclosure theorem of {Kryloff-Bogoliubov} for
ordinary eigenvalue problems in ordinary differential
equations]",
journal = j-NUM-MATH,
volume = "2",
pages = "18--21",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Feb 22 18:37:37 2001",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Kato:1960:EIM,
author = "Tosio Kato",
title = "Estimation of Iterated Matrices, with Application to
the {von Neumann} Condition",
journal = j-NUM-MATH,
volume = "2",
pages = "22--29",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
}
@Article{Hull:1960:NME,
author = "T. E. Hull and W. A. J. Luxemburg",
title = "Numerical methods and existence theorems for ordinary
differential equations",
journal = j-NUM-MATH,
volume = "2",
pages = "30--41",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Bauer:1960:MCR,
author = "F. L. Bauer and A. S. Householder",
title = "Moments and Characteristic Roots",
journal = j-NUM-MATH,
volume = "2",
pages = "42--53",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "Theory/Matrix.bib",
keywords = "eig; la; pert",
}
@Article{Bertram:1960:BMA,
author = "G. Bertram",
title = "{Berichtigung zu meinen Arbeit ,,Versch{\"a}rfung
einer Fehlerabsch{\"a}tzung \ldots{} [Num. Math. {\bf
1}, 135--141 (1959)]}. ({German}) [{Correction} to my
Paper ``{Tightening} of an Error Bound \ldots{}'']",
journal = j-NUM-MATH,
volume = "2",
pages = "54--54",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
note = "See \cite{Bertram:1959:VFR}.",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Householder:1960:CIM,
author = "A. S. Householder and F. L. Bauer",
title = "On Certain Iterative Methods for Solving Linear
Systems",
journal = j-NUM-MATH,
volume = "2",
pages = "55--59",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "Theory/Matrix.bib",
keywords = "iter; linear system; nla",
}
@Article{Lehmann:1960:FRV,
author = "N. J. Lehmann",
title = "{Eine Fehlerabsch{\"a}tzung zum Ritzschen Verfahren
f{\"u}r inhomogene Randwertaufgaben}. ({German}) [{An}
Error Bound for the {Ritz} Method for Inhomogeneous
Boundary Value Problems]",
journal = j-NUM-MATH,
volume = "2",
pages = "60--66",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Causey:1960:CAE,
author = "Robert L. Causey and Peter Henrici",
title = "Convergence of approximate eigenvectors in {Jacobi}
methods",
journal = j-NUM-MATH,
volume = "2",
pages = "67--78",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Borsch-Supan:1960:BFB,
author = "W. B{\"o}rsch-Supan",
title = "{Bemerkungen zur Fehlerabsch{\"a}tzung beim
Ritz-Galerkin-Verfahren nach Krylow}. ({German})
[{Remark} on the Error Bounds of the {Ritz-Galerkin}
Method of {Krylov}]",
journal = j-NUM-MATH,
volume = "2",
pages = "79--83",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Halton:1960:ECQ,
author = "J. H. Halton",
title = "On the efficiency of certain quasi-random sequences of
points in evaluating multi-dimensional integrals",
journal = j-NUM-MATH,
volume = "2",
pages = "84--90",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
note = "See correction \cite{Halton:1960:BEC}.",
acknowledgement = ack-nhfb,
}
@Article{Douglas:1960:NMS,
author = "Jim Douglas",
title = "A numerical method for the solution of a parabolic
system",
journal = j-NUM-MATH,
volume = "2",
pages = "91--98",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Veidinger:1960:NDB,
author = "L. Veidinger",
title = "On the numerical determination of the best
approximations in the {Chebyshev} sense",
journal = j-NUM-MATH,
volume = "2",
pages = "99--105",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Naur:1960:RAL,
author = "Peter Naur and J. W. Backus and F. L. Bauer and J.
Green and C. Katz and J. MacCarthy and A. J. Perlis and
H. Rutishauser and K. Samelson and B. Vauquois and J.
H. Wegstein and A. van Wijngaarden and M. Woodger",
title = "Report on the algorithmic language {Algol 60}",
journal = j-NUM-MATH,
volume = "2",
pages = "106--136",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Bauer:1960:NET,
author = "F. L. Bauer and C. T. Fike",
title = "Norms and Exclusion Theorems",
journal = j-NUM-MATH,
volume = "2",
pages = "137--141",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "Parallel/par.lin.alg.bib; Theory/Matrix.bib",
keywords = "eig; la; norm; pert",
}
@Article{Machly:1960:TAKa,
author = "H. Machly and C. Witzgall",
title = "{Tschebyscheff-Approximationen in kleinen Intervallen.
I}. ({German}) [{Chebyshev} Approximations in Small
Intervals. {I}]",
journal = j-NUM-MATH,
volume = "2",
pages = "142--150",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 12:54:13 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Wynn:1960:UIA,
author = "Peter Wynn",
title = "{{\"U}ber einen Interpolations-Algorithmus und gewisse
andere Formeln, die in der Theorie der Interpolation
durch rationale Funktionen bestehen}. ({German}) [{On}
interpolation algorithms and certain other formulas
existing in the interpolations theory by rational
functions]",
journal = j-NUM-MATH,
volume = "2",
pages = "151--182",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Brakhage:1960:UNB,
author = "H. Brakhage",
title = "{{\"U}ber die numerische Behandlung von
Integralgleichungen nach der Quadraturformelmethode}.
({German}) [{On} the Numerical Treatment of Integral
Equations for the Quadrature Formula Method]",
journal = j-NUM-MATH,
volume = "2",
pages = "183--196",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Halton:1960:BEC,
author = "J. H. Halton",
title = "{Berichtigung: ``On the efficiency of certain
quasi-random sequences of points in evaluating
multi-dimensional integrals'' [Num. Math. {\bf 2},
84--90 (1960)]}. ({German}) [{Correction}]",
journal = j-NUM-MATH,
volume = "2",
pages = "196--196",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
note = "See \cite{Halton:1960:ECQ}.",
acknowledgement = ack-nhfb,
language = "German, English",
}
@Article{Clenshaw:1960:MNI,
author = "C. W. Clenshaw and A. R. Curtis",
title = "A method for numerical integration on an automatic
computer",
journal = j-NUM-MATH,
volume = "2",
pages = "197--205",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Esseen:1960:UAB,
author = "C. G. Esseen",
title = "{{\"U}ber die asymptotisch beste Approximation
stetiger Funktionen mit Hilfe von Bernstein-Polynomen}.
({German}) [{On} the Asymptotically Best Approximation
of Continuous Functions with the Aid of {Berstein}
Polynomials]",
journal = j-NUM-MATH,
volume = "2",
pages = "206--213",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Salzer:1960:OPN,
author = "Herbert E. Salzer",
title = "Optimal points for numerical differentiation",
journal = j-NUM-MATH,
volume = "2",
pages = "214--227",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Magnus:1960:ZHF,
author = "Wilhelm Magnus and Leon Kotin",
title = "The zeros of the {Hankel} function as a function of
its order",
journal = j-NUM-MATH,
volume = "2",
pages = "228--244",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Albrecht:1960:ASP,
author = "Rudolf F. Albrecht",
title = "Approximation to the solution of partial
differential-equations by the solution of ordinary
differential-equations",
journal = j-NUM-MATH,
volume = "2",
pages = "245--262",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Rutishauser:1960:BNI,
author = "Heinz Rutishauser",
title = "{Bemerkungen zur numerischen Integration
gew{\"o}hnlicher Differentialgleichungen $n$-ter
Ordnung}. ({German}) [{Remark} on the Numerical
Integration of $n$-th Order Ordinary Differential
Equations]",
journal = j-NUM-MATH,
volume = "2",
pages = "263--279",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Neubuser:1960:UUE,
author = "J. Neub{\"u}ser",
title = "{Untersuchungen des Untergruppenverbandes endlicher
Gruppen auf einer programmgesteuerten elektronischen
Dualmaschine}. ({German}) [{Investigation} of Subroup
Units of Finite Groups with a Programmable Electronic
Dual Machine]",
journal = j-NUM-MATH,
volume = "2",
pages = "280--292",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Machly:1960:TAKb,
author = "H. Machly and C. Witzgall",
title = "{Tschebyscheff-Approximationen in kleinen Intervallen.
{II}: Stetigkeitss{\"a}tze f{\"u}r gebrochen rationale
Approximationen}. ({German}) [{Chebyshev}
Approximations in Small Intervals. {II}. Stability
Conditions for Broken Rational Approximations]",
journal = j-NUM-MATH,
volume = "2",
pages = "293--307",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 12:54:13 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Bauer:1960:SII,
author = "F. L. Bauer and A. S. Householder",
title = "Some inequalities involving the {Euclidean} condition
of a matrix",
journal = j-NUM-MATH,
volume = "2",
pages = "308--311",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Dijkstra:1960:RP,
author = "E. W. Dijkstra",
title = "Recursive programming",
journal = j-NUM-MATH,
volume = "2",
pages = "312--318",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Wilkinson:1960:EAF,
author = "J. H. Wilkinson",
title = "Error Analysis of Floating-Point Computation",
journal = j-NUM-MATH,
volume = "2",
pages = "319--340",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
}
@Article{Lehmann:1961:INR,
author = "N. J. Lehmann",
title = "{Das inhomogene nat{\"u}rliche Randwertproblem und
Fehlerabsch{\"a}tzungen f{\"u}r
N{\"a}herungsl{\"o}sungen}. ({German}) [{The}
Inhomogeneous Natural Boundary Value Problem and Error
Bounds for Approximate Solution]",
journal = j-NUM-MATH,
volume = "3",
pages = "1--29",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Schaefke:1961:VBC,
author = "Friedrich Wilhelm Schaefke",
title = "{Ein Verfahren zur Berechnung des charakteristischen
Exponenten der Mathieuschen Differentialgleichung. I}.
({German}) [{A} Method for Calculation of
Characteristic Exponents of the {Mathiew} Differential
Equation. {I}]",
journal = j-NUM-MATH,
volume = "3",
pages = "30--38",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Schroder:1961:FRG,
author = "Johann Schr{\"o}der",
title = "{Fehlerabsch{\"a}tzung mit Rechenanlagen bei
gew{\"o}nlichen Differentialgleichungen erster
Ordnung}. ({German}) [{Computational} error bounds for
first-order ordinary differential equations]",
journal = j-NUM-MATH,
volume = "3",
pages = "39--61",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:44:54 1997",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Schonhage:1961:FIG,
author = "A. Sch{\"o}nhage",
title = "{Fehlerfortpflanzung bei Interpolation}. ({German})
[{Error} Transmission in Interpolation]",
journal = j-NUM-MATH,
volume = "3",
pages = "62--71",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Cheney:1961:TNA,
author = "E. W. Cheney and H. L. Loeb",
title = "Two new algorithms for rational approximation",
journal = j-NUM-MATH,
volume = "3",
pages = "72--75",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Luke:1961:RUF,
author = "Yudell L. Luke",
title = "The radius of univalence of the function exp $z^2
\int_0^z$ exp $(-t^2) dt$",
journal = j-NUM-MATH,
volume = "3",
pages = "76--78",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Karst:1961:FMZ,
author = "E. Karst",
title = "{Faktorenzerlegung Mersennescher Zahlen mittels
programmgesteuerter Rechenger{\"a}te}. ({German})
[{Factorization} of {Mersenne} Numbers with
Programmable Computers]",
journal = j-NUM-MATH,
volume = "3",
pages = "79--86",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Kjellberg:1961:SRM,
author = "G{\"o}ran Kjellberg",
title = "On the successive over-relaxation method for cyclic
operators",
journal = j-NUM-MATH,
volume = "3",
pages = "87--91",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Douglas:1961:ADI,
author = "J. {Douglas, Jr.}",
title = "Alternating direction iteration for mildly nonlinear
elliptic difference equations",
journal = j-NUM-MATH,
volume = "3",
pages = "92--98",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
note = "See correction \cite{Douglas:1962:CMP}.",
acknowledgement = ack-nhfb,
}
@Article{Collatz:1961:MEB,
author = "Lothar Collatz",
title = "{Monotonie und Extremalprinzipien beim Newtonschen
Verfahren}. ({German}) [{Monotonicty} and Extremal
Principles of {Newton} Methods]",
journal = j-NUM-MATH,
volume = "3",
pages = "99--106",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Sikkema:1961:WEK,
author = "P. C. Sikkema",
title = "{Der Wert einiger Konstanten in der Theorie der
Approximation mit Bernstein-Polynomen.}. ({German})
[{The} Value of Some Constants in the Approximation
Theory for {Bernstein} Polynomials]",
journal = j-NUM-MATH,
volume = "3",
pages = "107--116",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Bauer:1961:FGK,
author = "F. L. Bauer",
title = "A further generalization of the {Kantorovic}
inequality",
journal = j-NUM-MATH,
volume = "3",
pages = "117--119",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 16:10:24 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Salzer:1961:SEB,
author = "Herbert E. Salzer",
title = "Some extensions of {Bairstow}'s method",
journal = j-NUM-MATH,
volume = "3",
pages = "120--124",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Schroder:1961:VFG,
author = "Johann Schr{\"o}der",
title = "{Verbesserung einer Fehlerabsch{\"a}tzung f{\"u}r
gew{\"o}hnliche Differentialgleichungen erster
Ordnung}. ({German}) [{Improvement} of error bounds for
first-order ordinary differential equations]",
journal = j-NUM-MATH,
volume = "3",
pages = "125--130",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:45:02 1997",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Albrecht:1961:DNL,
author = "Rudolf Albrecht and Wolfram Ulrich",
title = "{Ein Differenzenverfahren zur n{\"a}herungsweisen
L{\"o}sung des Anfangswertproblems f{\"u}r Systeme
halblinearer partieller Differentialgleichungen. 1.
Ordnung}. ({German}) [{A} Difference Equation for
Approximate Solution of Initial Value Problems for
Half-Linear Partial Differential Equations. 1.
{Order}]",
journal = j-NUM-MATH,
volume = "3",
pages = "131--146",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Golub:1961:CSIa,
author = "Gene H. Golub and Richard S. Varga",
title = "{Chebyshev} Semi-Iterative Methods, Successive
Overrelaxation Iterative Methods, and Second Order
{Richardson} Iterative Methods. {I}",
journal = j-NUM-MATH,
volume = "3",
pages = "147--156",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "65.35",
MRnumber = "26\#3207",
MRreviewer = "J. R. Cannon",
bibdate = "Sun Oct 17 12:54:13 MDT 1999",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib",
acknowledgement = ack-nhfb,
keywords = "iter; nla; relaxation; Richardson's method;
semi-iterative method",
}
@Article{Golub:1961:CSIb,
author = "Gene H. Golub and Richard S. Varga",
title = "{Chebyshev} Semi-Iterative Methods, Successive
Overrelaxation Iterative Methods, and Second Order
{Richardson} Iterative Methods. {II}",
journal = j-NUM-MATH,
volume = "3",
pages = "157--168",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "65.35",
MRnumber = "26\#3208",
MRreviewer = "J. R. Cannon",
bibdate = "Sun Oct 17 12:54:13 MDT 1999",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib",
acknowledgement = ack-nhfb,
keywords = "iter; nla; relaxation; Richardson's method;
semi-iterative method",
}
@Article{Hsu:1961:NNI,
author = "L. C. Hsu",
title = "Note on the numerical integration of periodic
functions and of partially periodic functions",
journal = j-NUM-MATH,
volume = "3",
pages = "169--173",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Brakhage:1961:FNE,
author = "H. Brakhage",
title = "{Zur Fehlerabsch{\"a}tzung f{\"u}r die numerische
Eigenwertbestimmung bei Integralgleichungen}.
({German}) [{Toward} Error Bounds for Numerical
Eigenvalue Determination in Integral Equations]",
journal = j-NUM-MATH,
volume = "3",
pages = "174--179",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Descloux:1961:DAT,
author = "J. Descloux",
title = "{D}{\'e}g{\'e}n{\'e}rescence dans les approximations
de {Tschebyscheff} lin{\'e}aires et discr{\`e}tes.
({French}) [{Degeneration} in Linear and Discrete
{Chebyshev} Approximations]",
journal = j-NUM-MATH,
volume = "3",
pages = "180--187",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Albrecht:1961:FRN,
author = "J. Albrecht",
title = "{Fehlerabsch{\"a}tzungen bei Relaxationsverfahren zur
numerischen Aufl{\"o}sung linearer Gleichungssysteme}.
({German}) [{Error} Bounds for the Relaxation Method
for Numerical Solution of Linear Equation Systems]",
journal = j-NUM-MATH,
volume = "3",
pages = "188--201",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Blum:1961:SPE,
author = "M. Blum",
title = "A stagewise parameter estimation procedure for
correlated data",
journal = j-NUM-MATH,
volume = "3",
pages = "202--208",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Bergman:1961:AMK,
author = "Stefan Bergman and John G. Herriot",
title = "Application of the method of the kernel function for
solving boundary- value problems",
journal = j-NUM-MATH,
volume = "3",
pages = "209--225",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Lauchli:1961:JEA,
author = "Peter L{\"a}uchli",
title = "{Jordan-Elimination und Ausgleichung nach kleinsten
Quadraten}. ({German}) [{Jordan} elimination and
balancing using least squares]",
journal = j-NUM-MATH,
volume = "3",
pages = "226--240",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Feb 13 07:28:41 1997",
language = "German",
}
@Article{Bauer:1961:ANC,
author = "F. L. Bauer and A. S. Householder",
title = "Absolute norms and characteristic roots",
journal = j-NUM-MATH,
volume = "3",
pages = "241--246",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Fisser:1961:STA,
author = "H. Fisser",
title = "Some tests applied to pseudo-random numbers generated
by {v. H{\"o}rner}'s rule",
journal = j-NUM-MATH,
volume = "3",
pages = "247--249",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Felsch:1961:PRG,
author = "H. Felsch",
title = "{Programmierung der Restklassenabz{\"a}hlung einer
Gruppe nach Untergruppen}. ({German}) [{Programming} of
Residue Classes of a Group via its Subgroups]",
journal = j-NUM-MATH,
volume = "3",
pages = "250--256",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Bauer:1961:AMN,
author = "F. L. Bauer and J. Stoer and C. Witzgall",
title = "Absolute and Monotonic Norms",
journal = j-NUM-MATH,
volume = "3",
pages = "257--264",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
}
@Article{Schaefke:1962:VBC,
author = "F. W. Schaefke and R. Ebert and H. Groh",
title = "{Ein Verfahren zur Berechnung des charakteristischen
Exponenten der Mathieuschen Differentialgleichung. II}.
({German}) [{A} Method for Calculation of
Characteristic Exponents of the {Mathiew} Differential
Equation. {II}]",
journal = j-NUM-MATH,
volume = "4",
pages = "1--7",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Wynn:1962:CTN,
author = "P. Wynn",
title = "A comparison technique for the numerical
transformation of slowly convergent series based on the
use of rational functions",
journal = j-NUM-MATH,
volume = "4",
pages = "8--14",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Schneider:1962:CTS,
author = "Hans Schneider and W. Gilbert Strang",
title = "Comparison Theorems for Supremum Norms",
journal = j-NUM-MATH,
volume = "4",
pages = "15--20",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
}
@Article{Treuenfels:1962:SLR,
author = "P. Treuenfels",
title = "{Schranken f{\"u}r L{\"o}sungen von Randwertaufgaben}.
({German}) [{Bounds} for Solution of Boundary Value
Problems]",
journal = j-NUM-MATH,
volume = "4",
pages = "21--23",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Henrici:1962:BII,
author = "Peter Henrici",
title = "Bounds for Iterates, Inverses, Spectral Variation and
Fields of Values of Non-Normal Matrices",
journal = j-NUM-MATH,
volume = "4",
pages = "24--39",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "Theory/Matrix.bib",
keywords = "eig; field of values; inverse matrix; la; nonnormal
matrix; pert",
}
@Article{Douglas:1962:ADM,
author = "Jim {Douglas, Jr.}",
title = "Alternating direction methods for three space
variables",
journal = j-NUM-MATH,
volume = "4",
pages = "41--63",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Schafke:1962:BEM,
author = "F. W. Sch{\"a}fke and H. Groh",
title = "{Zur Berechnung der Eigenwerte der Mathieuschen
Differentialgleichung}. ({German}) [{Toward}
Computation of Eigenvalues of the {Mathieu}
Differential Equation]",
journal = j-NUM-MATH,
volume = "4",
pages = "64--67",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Richtmyer:1962:CFE,
author = "R. D. Richtmyer and Marjorie Devaney and N.
Metropolis",
title = "Continued fraction expansions of algebraic numbers",
journal = j-NUM-MATH,
volume = "4",
pages = "68--84",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Frank:1962:CFEa,
author = "E. Frank",
title = "On continued fraction expansions for binomial
quadratic surds",
journal = j-NUM-MATH,
volume = "4",
pages = "85--95",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Douglas:1962:NMI,
author = "J. {Douglas, Jr.} and B. F. {Jones, Jr.}",
title = "Numerical methods for integrodifferential equations of
parabolic and hyperbolic types",
journal = j-NUM-MATH,
volume = "4",
pages = "96--102",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Bauer:1962:FVS,
author = "F. L. Bauer",
title = "On the field of values subordinate to a norm",
journal = j-NUM-MATH,
volume = "4",
pages = "103--113",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Stone:1962:BPR,
author = "Betty Jane Stone",
title = "Best Possible Ratios of Certain Matrix Norms",
journal = j-NUM-MATH,
volume = "4",
pages = "114--116",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Mar 19 15:23:15 GMT 1995",
}
@Article{Gautschi:1962:IVC,
author = "Walter Gautschi",
title = "On Inverses of {Vandermonde} and Confluent
{Vandermonde} Matrices",
journal = j-NUM-MATH,
volume = "4",
pages = "117--123",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
}
@Article{Cheney:1962:RCA,
author = "E. W. Cheney and H. L. Loeb",
title = "On rational {Chebyshev} approximation",
journal = j-NUM-MATH,
volume = "4",
pages = "124--127",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Harary:1962:GTA,
author = "Frank Harary",
title = "A graph theoretic approach to matrix inversion by
partitioning",
journal = j-NUM-MATH,
volume = "4",
pages = "128--135",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Morimoto:1962:SWE,
author = "Hirofumi Morimoto",
title = "Stability in the wave equation coupled with heat
flow",
journal = j-NUM-MATH,
volume = "4",
pages = "136--145",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Goldstein:1962:CMM,
author = "A. A. Goldstein",
title = "{Cauchy}'s method of minimization",
journal = j-NUM-MATH,
volume = "4",
pages = "146--150",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Lindenberg:1962:UDG,
author = "Wolfgang Lindenberg",
title = "{{\"U}ber eine Darstellung von Gruppenelementen in
digitalen Rechenautomaten}. ({German}) [{On} a
representation of group elements in computers]",
journal = j-NUM-MATH,
volume = "4",
pages = "151--153",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Werner:1962:SDT,
author = "Helmut Werner",
title = "{Ein Satz {\"u}ber diskete Tschebyscheff-Approximation
bei gebrochen linearer Funktionen}. ({German}) [{A}
proposition on the discrete {Chebyshev} approximation
of broken linear functions]",
journal = j-NUM-MATH,
volume = "4",
pages = "154--157",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:45:51 1997",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Stoer:1962:TDM,
author = "J. Stoer and C. Witzgall",
title = "Transformations by Diagonal Matrices in a Normed
Space",
journal = j-NUM-MATH,
volume = "4",
pages = "158--171",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "Parallel/par.lin.alg.bib",
}
@Article{Pearcy:1962:CAD,
author = "C. Pearcy",
title = "On convergence of alternating direction procedures",
journal = j-NUM-MATH,
volume = "4",
pages = "172--176",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Buck:1962:SA,
author = "R. C. Buck",
title = "Stochastic ascent",
journal = j-NUM-MATH,
volume = "4",
pages = "177--186",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Greenstadt:1962:SNE,
author = "J. Greenstadt",
title = "Some numerical experiments in triangularizing
matrices",
journal = j-NUM-MATH,
volume = "4",
pages = "187--195",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Albrecht:1962:FKM,
author = "J. Albrecht",
title = "{Fehlerschranken und Konvergenzbeschleunigung bei
einer monotonen oder alternierenden Iterationsfolge}.
({German}) [{Error} Bounds and Convergence Acceleration
with a Monotone or Alternating Iteration Sequence]",
journal = j-NUM-MATH,
volume = "4",
pages = "196--208",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Chow:1962:SLE,
author = "T. S. Chow and H. W. Milnes",
title = "Solution of {Laplace}'s equation by boundary
contraction over regions of irregular shape",
journal = j-NUM-MATH,
volume = "4",
pages = "209--225",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Uhlmann:1962:UFD,
author = "W. Uhlmann",
title = "{{\"U}ber den Fehler bei Differenzenverfahren f{\"u}r
die Poissonsche Differentialgleichung}. ({German})
[{On} the Bound of Difference Method for {Poisson}
Differential Equation]",
journal = j-NUM-MATH,
volume = "4",
pages = "226--237",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Benders:1962:PPS,
author = "J. F. Benders",
title = "Partitioning procedures for solving mixed-variables
programming problems",
journal = j-NUM-MATH,
volume = "4",
pages = "238--252",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Albrecht:1962:NTI,
author = "R. F. Albrecht and W. Urich",
title = "Numerical treatment of the initial value problem for
systems of quasilinear partial differential equations
of first order",
journal = j-NUM-MATH,
volume = "4",
pages = "253--261",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Nitsche:1962:ATA,
author = "Johannes C. C. Nitsche",
title = "{{\"U}ber die Abh{\"a}ngigkeit der Tschebyscheffschen
Approximierenden einer differenzierbaren Funktion vom
Intervall}. ({German}) [{On} the relation of
{Chebyshev} approximations for a differentiable
interval function]",
journal = j-NUM-MATH,
volume = "4",
pages = "262--276",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:46:19 1997",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Parter:1962:SCP,
author = "Seymour V. Parter",
title = "Stability, convergence, and pseudo-stability of
finite-difference equations for an over-determined
problem",
journal = j-NUM-MATH,
volume = "4",
pages = "277--292",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Parter:1962:ONS,
author = "Seymour V. Parter",
title = "An observation on the numerical solution of difference
equations and a theorem of {Szeg{\"o}}",
journal = j-NUM-MATH,
volume = "4",
pages = "293--295",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Wilkinson:1962:NQC,
author = "J. H. Wilkinson",
title = "Note on the quadratic convergence of the cyclic
{Jacobi} process",
journal = j-NUM-MATH,
volume = "4",
pages = "296--300",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Douglas:1962:CMP,
author = "Jim {Douglas, Jr.}",
title = "A correction to my paper {``Alternating direction
iteration for mildly nonlinear elliptic difference
equations''}",
journal = j-NUM-MATH,
volume = "4",
pages = "301--302",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
note = "See \cite{Douglas:1961:ADI}.",
acknowledgement = ack-nhfb,
}
@Article{Frank:1962:CFEb,
author = "Evelyn Frank",
title = "On continued fraction expansion for binomial quadratic
surds. {II}",
journal = j-NUM-MATH,
volume = "4",
pages = "303--309",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Schafke:1962:BES,
author = "Friedrich Wilhelm Sch{\"a}fke and Helmut Groh",
title = "{Zur Berechnung der Eigenwerte der
Sph{\"a}roiddifferentialgleichung}. ({German}) [{On}
the Calculation of the Eigenvalues of the Spheroidal
Differential Equation]",
journal = j-NUM-MATH,
volume = "4",
pages = "310--312",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Bramble:1962:FFD,
author = "J. H. Bramble and B. E. Hubbard",
title = "On the formulation of finite difference analogues of
the {Dirichlet} problem for {Poisson}'s equation",
journal = j-NUM-MATH,
volume = "4",
pages = "313--327",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Wilson:1962:MSS,
author = "Walter L. {Wilson, Jr.}",
title = "$d$-minimal surfaces spanning polygons in {$E_n$} by
solving a linear system",
journal = j-NUM-MATH,
volume = "4",
pages = "328--329",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Hsu:1962:NIN,
author = "L. C. Hsu",
title = "On the numerical integration of non-periodic functions
of several variables",
journal = j-NUM-MATH,
volume = "4",
pages = "330--335",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Brenner:1962:PSI,
author = "C. Brenner and J. L. Brenner",
title = "The popularity of small integers as primitive roots",
journal = j-NUM-MATH,
volume = "4",
pages = "336--342",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Davis:1962:NSP,
author = "Chandler Davis",
title = "The norm of the {Schur} product operation",
journal = j-NUM-MATH,
volume = "4",
pages = "343--344",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Rivlin:1962:PBU,
author = "T. J. Rivlin",
title = "Polynomials of best uniform approximation to certain
rational functions",
journal = j-NUM-MATH,
volume = "4",
pages = "345--349",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Marcus:1962:ICC,
author = "Marvin Marcus",
title = "An inequality connecting the {$P$}-condition number
and the determinant",
journal = j-NUM-MATH,
volume = "4",
pages = "350--353",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Wilkinson:1962:HMS,
author = "J. H. Wilkinson",
title = "{Householder}'s method for symmetric matrices",
journal = j-NUM-MATH,
volume = "4",
pages = "354--361",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
series = "Handbook Series Linear Algebra",
acknowledgement = ack-nhfb,
}
@Article{Wilkinson:1962:CESa,
author = "J. H. Wilkinson",
title = "Calculation of the eigenvalues of a symmetric
tridiagonal matrix by the method of bisection",
journal = j-NUM-MATH,
volume = "4",
pages = "362--367",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
series = "Handbook Series Linear Algebra",
acknowledgement = ack-nhfb,
}
@Article{Wilkinson:1962:CESb,
author = "J. H. Wilkinson",
title = "Calculation of the eigenvectors of a symmetric
tridiagonal matrix by inverse iteration",
journal = j-NUM-MATH,
volume = "4",
pages = "368--376",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
series = "Handbook Series Linear Algebra",
acknowledgement = ack-nhfb,
}
@Article{Zurmuhl:1963:BVH,
author = "R. Zurm{\"u}hl",
title = "{Bemerkungen zum Verfahren von Hessenberg}. ({German})
[{Remark} on a Method of {Hessenberg}]",
journal = j-NUM-MATH,
volume = "4",
pages = "377--380",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Salzer:1963:EWF,
author = "H. E. Salzer",
title = "Equally-weighted formulas for numerical
differentiation",
journal = j-NUM-MATH,
volume = "4",
pages = "381--392",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Wohlfahrt:1963:UBP,
author = "Klaus Wohlfahrt",
title = "{{\"U}ber die Berechnung der Periodenverh{\"a}ltnisse
elliptischer Gebilde}. ({German}) [{On} the Calculation
of the Relationship of the Periods of Elliptic
Structures]",
journal = j-NUM-MATH,
volume = "4",
pages = "393--397",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Nagler:1963:PST,
author = "H. Nagler",
title = "On a property of simplex tableaux in the
transportation problem",
journal = j-NUM-MATH,
volume = "4",
pages = "398--402",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Clenshaw:1963:HSS,
author = "C. W. Clenshaw and G. F. Miller and M. Woodger",
title = "Algorithms for special functions. {I}",
journal = j-NUM-MATH,
volume = "4",
pages = "403--419",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
series = "Handbook Series Special functions",
acknowledgement = ack-nhfb,
}
@Article{Naur:1963:RRA,
author = "P. Naur and J. W. Backus and F. L. Bauer and J. Green
and C. Katz and J. McCarthy and A. J. Perlis and H.
Rutishauser and K. Samelson and B. Vauquois and J. H.
Wegstein and A. van Wijngaarden and M. Woodger",
title = "Revised report on the algorithmic language {ALGOL}
60",
journal = j-NUM-MATH,
volume = "4",
pages = "420--453",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Neubauer:1963:EUM,
author = "G. Neubauer",
title = "{Eine empirische Untersuchung zur Mertensschen
Funktion}. ({German}) [{An} Empirical Investigation of
the {Merten} Function]",
journal = j-NUM-MATH,
volume = "5",
pages = "1--13",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Meinardus:1963:UVU,
author = "G. Meinardus",
title = "{{\"U}ber eine Verallgemeinerung einer Ungleichung von
L. V. Kantorowitsch}. ({German}) [{On} a Generalization
of an Inequation of {L. V. Kantorowitsch}]",
journal = j-NUM-MATH,
volume = "5",
pages = "14--23",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Kreiss:1963:UID,
author = "H-O. Kreiss",
title = "{{\"U}ber implizite Differenzmethoden f{\"u}r
partielle Differentialgleichungen}. ({German}) [{On}
Implicit Difference Methods for Partial Differential
Equations]",
journal = j-NUM-MATH,
volume = "5",
pages = "24--47",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Rutishauser:1963:ARP,
author = "H. Rutishauser",
title = "{Ausdehnung des Rombergschen Prinzips}. ({German})
[{Extension} of the {Romberg} Principle]",
journal = j-NUM-MATH,
volume = "5",
pages = "48--54",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Sauer:1963:DHA,
author = "R. Sauer",
title = "{Differenzenverfahren f{\"u}r hyperbolische
Anfangswertprobleme bei mehr als zwei unabh{\"a}ngigen
Ver{\"a}nderlichen mit Hilfe von
Nebencharakteristiken}. ({German}) [{Difference} Method
for Hyperbolic Initial Value Problems in More than Two
Independent Variables with the Aid of Secondary
Characteristics]",
journal = j-NUM-MATH,
volume = "5",
pages = "55--67",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Aumann:1963:UVL,
author = "Georg Aumann",
title = "{{\"U}ber den Vergleichsfaktor bei linearen
Approximationsproblemen}. ({German}) [{On} the
Comparison Factor for Linear Approximation Problems]",
journal = j-NUM-MATH,
volume = "5",
pages = "68--72",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Bauer:1963:OSM,
author = "F. L. Bauer",
title = "Optimally Scaled Matrices",
journal = j-NUM-MATH,
volume = "5",
pages = "73--87",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "Parallel/par.lin.alg.bib",
}
@Article{Struble:1963:OPV,
author = "G. W. Struble",
title = "Orthogonal polynomials: Variable-signed weight
functions",
journal = j-NUM-MATH,
volume = "5",
pages = "88--94",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Rutishauser:1963:SSQ,
author = "H. Rutishauser",
title = "{Stabile Sonderf{\"a}lle des
Quotienten-Differenzen-Algorithmus}. ({German})
[{Stable} Special Cases of the Quotient-Difference
Algorithm]",
journal = j-NUM-MATH,
volume = "5",
pages = "95--112",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Frank:1963:CEB,
author = "E. Frank",
title = "On continued expansions for binomial quadratic surds.
{III}",
journal = j-NUM-MATH,
volume = "5",
pages = "113--117",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Aronson:1963:SCF,
author = "D. G. Aronson",
title = "On the stability of certain finite difference
approximations to parabolic systems of differential
equations",
journal = j-NUM-MATH,
volume = "5",
pages = "118--137",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
note = "See correction \cite{Aronson:1963:CPS}.",
acknowledgement = ack-nhfb,
}
@Article{Imhof:1963:MNI,
author = "J. P. Imhof",
title = "On the method for numerical integration of {Clenshaw}
and {Curtis}",
journal = j-NUM-MATH,
volume = "5",
pages = "138--141",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Gastinel:1963:DNG,
author = "N. Gastinel",
title = "Sur-decomposition de normes g{\'e}n{\'e}rales et
proc{\'e}d{\'e}s iteratifs. ({French}) [{Super}
Decomposition of Generalized Norms and Iterative
Procedures]",
journal = j-NUM-MATH,
volume = "5",
pages = "142--151",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Lynn:1963:SIM,
author = "M. S. Lynn",
title = "Some infra-max bounds for the spectral radii of
splittings of ${H}$-matrices",
journal = j-NUM-MATH,
volume = "5",
pages = "152--174",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Douglas:1963:CAD,
author = "J. {Douglas, Jr.} and C. M. Pearcy",
title = "On convergence of alternating direction procedures in
the presence of singular operators",
journal = j-NUM-MATH,
volume = "5",
pages = "175--184",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Descloux:1963:BSN,
author = "J. Descloux",
title = "Bounds for the spectral norm of functions of
matrices",
journal = j-NUM-MATH,
volume = "5",
pages = "185--190",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Wed May 28 21:44:06 1997",
mynote = "f(triangular)",
}
@Article{Ginsburg:1963:CGM,
author = "T. Ginsburg",
title = "The conjugate gradient method",
journal = j-NUM-MATH,
volume = "5",
pages = "191--200",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Seidman:1963:SCD,
author = "T. I. Seidman",
title = "On the stability of certain difference schemes",
journal = j-NUM-MATH,
volume = "5",
pages = "201--210",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Ortega:1963:EAH,
author = "James M. Ortega",
title = "An Error Analysis of {Householder}'s Method for the
Symmetric Eigenvalue Problem",
journal = j-NUM-MATH,
volume = "5",
pages = "211--225",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Fri Nov 25 09:10:08 GMT 1994",
}
@Article{Haemmerlin:1963:UAS,
author = "G. Haemmerlin",
title = "{{\"U}ber ableitungsfreie Schranken f{\"u}r
Quadraturfehler}. ({German}) [{On} Derivative-Free
Bounds for Quadrature Error]",
journal = j-NUM-MATH,
volume = "5",
pages = "226--233",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Householder:1963:SVI,
author = "A. S. Householder and J. A. Carpenter",
title = "The singular values of involutory and of idempotent
matrices",
journal = j-NUM-MATH,
volume = "5",
pages = "234--237",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
}
@Article{Weinstein:1963:SLT,
author = "A. Weinstein",
title = "On the {Sturm-Liouville} theory and the eigenvalues of
intermediate problems",
journal = j-NUM-MATH,
volume = "5",
pages = "238--245",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Lehmann:1963:OE,
author = "N. J. Lehmann",
title = "{Optimale Eigenwerteinschliessungen}. ({German})
[{Optimal} Eigenvalue Inclusion]",
journal = j-NUM-MATH,
volume = "5",
pages = "246--272",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Rutishauser:1963:TMS,
author = "H. Rutishauser and H. R. Schwarz",
title = "The {$LR$} transformation method for symmetric
matrices",
journal = j-NUM-MATH,
volume = "5",
pages = "273--289",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Aronson:1963:CPS,
author = "D. G. Aronson",
title = "A Correction to the Paper {``On the stability of
certain finite difference approximations to parabolic
systems of differential equations'' [Num. Math. {\bf
5}, 118--137 (1963)]}",
journal = j-NUM-MATH,
volume = "5",
pages = "290--290",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
note = "See \cite{Aronson:1963:SCF}.",
acknowledgement = ack-nhfb,
}
@Article{Hofsommer:1963:NCE,
author = "D. J. Hofsommer and R. van de Riet",
title = "On the numerical calculation of elliptic integrals of
the first and second kind and the elliptic functions of
Jacobi",
journal = j-NUM-MATH,
volume = "5",
pages = "291--302",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Schonhage:1963:OPD,
author = "A. Sch{\"o}nhage",
title = "{Optimale Punkte f{\"u}r Differentiation und
Integration}. ({German}) [{Optimal} Points for
Differentiation and Integration]",
journal = j-NUM-MATH,
volume = "5",
pages = "303--331",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Wynn:1963:NCF,
author = "P. Wynn",
title = "Note on a converging factor for a certain continued
fraction",
journal = j-NUM-MATH,
volume = "5",
pages = "332--352",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Toernig:1963:UDR,
author = "Willi Toernig",
title = "{{\"U}ber Differenzverfahren in Rechteckgittern zur
numerischen L{\"o}sung quasilinearer hyperbolischer
Differentialgleichungen}. ({German}) [{On} the
Difference Method in Rectangular Grid for the Numerical
Solution of Quasilinear Hyperbolic Differential
Equations]",
journal = j-NUM-MATH,
volume = "5",
pages = "353--370",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Stoer:1963:DNP,
author = "J. Stoer",
title = "Duality in nonlinear programming and the minimax
theorem",
journal = j-NUM-MATH,
volume = "5",
pages = "371--379",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Borsch-Supan:1963:PEB,
author = "W. B{\"o}rsch-Supan",
title = "A Posteriori Error Bounds for the Zeros of
Polynomials",
journal = j-NUM-MATH,
volume = "5",
pages = "380--398",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
acknowledgement = ack-nhfb,
}
@Article{Stetter:1963:MBS,
author = "H. J. Stetter",
title = "Maximum bounds for the solutions of initial value
problems for partial difference equations",
journal = j-NUM-MATH,
volume = "5",
pages = "399--424",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:1963:IVC,
author = "Walter Gautschi",
title = "On Inverses of {Vandermonde} and Confluent
{Vandermonde} Matrices. {II}",
journal = j-NUM-MATH,
volume = "5",
pages = "425--430",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
}
@Article{Zurmuhl:1964:AGT,
author = "R. Zurm{\"u}hl",
title = "{Zur angen{\"a}herten ganzrationalen
Tschebyscheff-Approximation mit Hilfe trigonometrischer
Interpolation}. ({German}) [{Toward} Approximate Fairly
Rational {Chebyshev} Approximation with the Aid of
Trigonometric Interpolation]",
journal = j-NUM-MATH,
volume = "6",
pages = "1--5",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Bulirsch:1964:BRI,
author = "R. Bulirsch",
title = "{Bemerkungen zur Romberg-Integration}. ({German})
[{Remark} on {Romberg} Integration]",
journal = j-NUM-MATH,
volume = "6",
pages = "6--16",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Eve:1964:EP,
author = "J. Eve",
title = "The evaluation of polynomials",
journal = j-NUM-MATH,
volume = "6",
pages = "17--21",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Wynn:1964:GPV,
author = "P. Wynn",
title = "General purpose vector epsilon algorithm {ALGOL}
procedures",
journal = j-NUM-MATH,
volume = "6",
pages = "22--36",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Strang:1964:APD,
author = "G. Strang",
title = "Accurate partial difference methods. {II}: Non-linear
problems",
journal = j-NUM-MATH,
volume = "6",
pages = "37--46",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Goldstein:1964:MPM,
author = "A. A. Goldstein and R. B. Kripke",
title = "Mathematical Programming by Minimizing Differentiable
Functions",
journal = j-NUM-MATH,
volume = "6",
pages = "47--48",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
acknowledgement = ack-nhfb,
}
@Article{Bennett:1964:IEM,
author = "J. H. Bennett",
title = "Integral equation methods for transport problems. Some
numerical results",
journal = j-NUM-MATH,
volume = "6",
pages = "49--54",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Stoer:1964:UDN,
author = "J. Stoer",
title = "{{\"U}ber einen Dualit{\"a}tssatz der nichtlinearen
Programmierung}. ({German}) [{On} a duality theorem of
nonlinear programming]",
journal = j-NUM-MATH,
volume = "6",
pages = "55--58",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Thu Feb 22 18:39:10 2001",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Tsuda:1964:AMC,
author = "T. Tsuda and T. Kiyono",
title = "Application of the {Monte Carlo} method to systems of
nonlinear algebraic equations",
journal = j-NUM-MATH,
volume = "6",
pages = "59--67",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Salzer:1964:DDF,
author = "H. E. Salzer",
title = "Divided differences for functions of two variables for
irregularly spaces arguments",
journal = j-NUM-MATH,
volume = "6",
pages = "68--77",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 094