%%% -*-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), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Schmidt:1964:AMI,
author = "Jochen W. Schmidt",
title = "{Ausgangsvektoren f{\"u}r monotone Iterationen bei
linearen Gleichungsystemen}. ({German}) [{Starting}
vectors for monotone iterations of linear equation
systems]",
journal = j-NUM-MATH,
volume = "6",
pages = "78--88",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 08:51:10 1997",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Patry:1964:BF,
author = "J. Patry and J. Keller",
title = "{Zur Berechnung des Fehlerintegrals}. ({German})
[{Toward} the Computation of Error Integrals]",
journal = j-NUM-MATH,
volume = "6",
pages = "89--97",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Marshall:1964:ITE,
author = "A. W. Marshall and I. Olkin",
title = "Inclusion theorems for eigenvalues from probability
inequalities",
journal = j-NUM-MATH,
volume = "6",
pages = "98--102",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Kripke:1964:BAR,
author = "Bernard R. Kripke",
title = "Best approximation with respect to nearby norms",
journal = j-NUM-MATH,
volume = "6",
pages = "103--105",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Hageman:1964:BIM,
author = "L. A. Hageman and R. S. Varga",
title = "Block iterative methods for cyclically reduced matrix
equations",
journal = j-NUM-MATH,
volume = "6",
pages = "106--119",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Heap:1964:IPN,
author = "B. R. Heap and M. S. Lynn",
title = "The index of primitivity of a non-negative matrix",
journal = j-NUM-MATH,
volume = "6",
pages = "120--141",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Tee:1964:ACM,
author = "G. J. Tee",
title = "An application of $p$-cyclic matrices, for solving
periodic parabolic problems",
journal = j-NUM-MATH,
volume = "6",
pages = "142--159",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Bittner:1964:UMI,
author = "L. Bittner",
title = "{{\"U}ber ein mehrstufiges Iterationsverfahren zur
L{\"o}sung von linearen Gleichungen}. ({German}) [{On}
a More Layered Iteration Method for Solution of Linear
Equations]",
journal = j-NUM-MATH,
volume = "6",
pages = "161--180",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Gunn:1964:NSS,
author = "J. E. Gunn",
title = "The numerical solution of $\nabla\cdot a\nabla u = f$
by a semi-explicit alternating-direction iterative
technique",
journal = j-NUM-MATH,
volume = "6",
pages = "181--184",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Lynch:1964:DSP,
author = "R. Lynch and J. Rice and D. Thomas",
title = "Direct solution of partial difference equations by
tensor product methods",
journal = j-NUM-MATH,
volume = "6",
pages = "185--199",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 16:10:24 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Suschowk:1964:DAG,
author = "D. Suschowk",
title = "Difference analogues of {Green}'s identities for grids
in {$R^n$}",
journal = j-NUM-MATH,
volume = "6",
pages = "200--210",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Briones:1964:AAC,
author = "F. Briones",
title = "On the alternants appearing in {Chebyshev}'s best
approximation problem",
journal = j-NUM-MATH,
volume = "6",
pages = "211--223",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Ansorge:1964:SGK,
author = "Rainer Ansorge",
title = "{Zur Struktur gewisser Konvergenzkriterien bei der
numerischen L{\"o}sung von Anfangswertaufgaben}.
({German}) [{On} the structure of some convergence
criteria for numerical solving of certain initial value
problems]",
journal = j-NUM-MATH,
volume = "6",
pages = "224--234",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Boehm:1964:FWB,
author = "B. Boehm",
title = "Functions whose best rational {Chebyshev}
approximation are polynomials",
journal = j-NUM-MATH,
volume = "6",
pages = "235--242",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Gunn:1964:TSI,
author = "J. E. Gunn",
title = "On the two-stage iterative method of {Douglas} for
mildly non-linear elliptic difference equations",
journal = j-NUM-MATH,
volume = "6",
pages = "243--249",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Rosen:1964:PPP,
author = "J. B. Rosen",
title = "Primal partition programming for block diagonal
matrices",
journal = j-NUM-MATH,
volume = "6",
pages = "250--260",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Handscomb:1964:RMC,
author = "D. C. Handscomb",
title = "Remarks on a {Monte Carlo} integration method",
journal = j-NUM-MATH,
volume = "6",
pages = "261--268",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Broyden:1964:SGT,
author = "C. G. Broyden",
title = "Some generalisations of the theory of successive
over-relaxation",
journal = j-NUM-MATH,
volume = "6",
pages = "269--284",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Mitchell:1964:IFA,
author = "A. Mitchell and G. Fairweather",
title = "Improved forms of the alternating direction methods of
{Douglas}, {Peaceman}, and {Rachford} for solving
parabolic and elliptic equations",
journal = j-NUM-MATH,
volume = "6",
pages = "285--292",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Lawson:1964:CPS,
author = "Ch.L. Lawson",
title = "Characteristic properties of the segmented rational
minmax approximation problem",
journal = j-NUM-MATH,
volume = "6",
pages = "293--301",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Stoer:1964:CLU,
author = "J. Stoer",
title = "On the characterization of least upper bound norms in
matrix space",
journal = j-NUM-MATH,
volume = "6",
pages = "302--314",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Wilf:1964:ECN,
author = "H. Wilf",
title = "Exactness conditions in numerical quadrature",
journal = j-NUM-MATH,
volume = "6",
pages = "315--319",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Filippi:1964:ATA,
author = "Siegfried Filippi",
title = "{Angen{\"a}herte Tschebyscheff-Approximation einer
Stammfunktion des Verfahrens von Clenshaw und Curtis}.
({German}) [{Chebyshev} Approximation of a Primitive
Function of the {Clenshaw-Curtis} Methods]",
journal = j-NUM-MATH,
volume = "6",
pages = "320--328",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Azpeitia:1964:DRS,
author = "A. G. Azpeitia and D. J. Dickinson",
title = "A decision rule in the simplex method that avoids
cycling",
journal = j-NUM-MATH,
volume = "6",
pages = "329--331",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 15:28:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Schneider:1964:BND,
author = "A. Schneider",
title = "{Bemerkungen zur numerischen Differentiation}.
({German}) [{Remark} on numerical differentiation]",
journal = j-NUM-MATH,
volume = "6",
pages = "332--334",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Nov 05 10:26:22 2002",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Buchmann:1964:CUJ,
author = "M. Buchmann",
title = "A condition for uniform {Jordanization} of a family of
triangular matrices",
journal = j-NUM-MATH,
volume = "6",
pages = "335--345",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Heap:1964:GTA,
author = "B. R. Heap and M. S. Lynn",
title = "A graph-theoretic algorithm for the solution of a
linear {Diophantine} problem of {Frobenius}",
journal = j-NUM-MATH,
volume = "6",
pages = "346--354",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Nirschl:1964:BFV,
author = "N. Nirschl and H. Schneider",
title = "The {Bauer} fields of values of a matrix",
journal = j-NUM-MATH,
volume = "6",
pages = "355--365",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Varga:1964:SIG,
author = "R. S. Varga",
title = "On smallest isolated {Gerschgorin} disks for
eigenvalues",
journal = j-NUM-MATH,
volume = "6",
pages = "366--376",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Lancaster:1964:EMD,
author = "P. Lancaster",
title = "On eigenvalues of matrices dependent on a parameter",
journal = j-NUM-MATH,
volume = "6",
pages = "377--387",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Lancaster:1964:ALM,
author = "P. Lancaster",
title = "Algorithms for lambda-matrices",
journal = j-NUM-MATH,
volume = "6",
pages = "388--394",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Weinitschke:1964:UKI,
author = "H. J. Weinitschke",
title = "{{\"U}ber eine Klasse von Iterationsverfahren}.
({German}) [{On} a Class of Iteration Methods]",
journal = j-NUM-MATH,
volume = "6",
pages = "395--404",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Oettli:1964:CAS,
author = "W. Oettli and W. Prager",
title = "Compatibility of Approximate Solution of Linear
Equations With Given Error Bounds for Coefficients and
Right-Hand Sides",
journal = j-NUM-MATH,
volume = "6",
pages = "405--409",
month = dec,
year = "1964",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "Parallel/par.lin.alg.bib; Theory/Matrix.bib",
keywords = "backward perturbation; la; linear system; pert",
}
@Article{Gerhards:1965:VBV,
author = "L. Gerhards and W. Lindenberg",
title = "{Ein Verfahren zur Berechnung des vollst{\"a}ndigen
Untergruppenverbandes endlicher Gruppen auf
Dualmaschinen}. ({German}) [{A} Method for Calculation
of the Complete Collection of Subgroups of Finite
Groups from Dual Machines]",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "1--10",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Schneider:1965:POI,
author = "H. Schneider",
title = "Positive operators and an inertia theorem",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "11--17",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Stetter:1965:AEE,
author = "H. J. Stetter",
title = "Asymptotic expansions for the error of discretization
algorithms for non- linear functional equations",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "18--31",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Braess:1965:MIG,
author = "Dietrich Braess",
title = "{Monotone Iterationsfolgen bei Gleichungssystemen mit
fehlerhaften Koeffizienten und
Iterationsbeschleunigung}. ({German}) [{Monotone}
Iteration Sequences for Equation Systems with
Coefficients Having Errors, and Iteration
Acceleration]",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "32--41",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Bergmann:1965:NSB,
author = "S. Bergmann and John G. Herriot",
title = "Numerical solution of boundary-value problems by the
method of integral operators",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "42--65",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Maybee:1965:SST,
author = "J. S. Maybee",
title = "Some structural theorems for partial difference
operators",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "66--72",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Hedstrom:1965:NSL,
author = "G. W. Hedstrom",
title = "The near-stability of the {Lax-Wendroff} method",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "73--77",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 16:10:24 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Bulirsch:1965:NCE,
author = "R. Bulirsch",
title = "Numerical calculation of elliptic integrals and
elliptic functions",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "78--90",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
series = "Handbook Series Special functions",
acknowledgement = ack-nhfb,
}
@Article{Miller:1965:NAS,
author = "K. Miller",
title = "Numerical analogs to the {Schwarz} alternating
procedure",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "91--103",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Metropolis:1965:AUA,
author = "N. Metropolis",
title = "Algorithms in unnormalized arithmetic. {I}:
{Recurrence} relations",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "104--112",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Parter:1965:MNE,
author = "S. V. Parter",
title = "Mildly nonlinear elliptic partial differential
equations and their numerical solution. {I}",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "113--128",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Greenspan:1965:MNE,
author = "D. Greenspan and S. V. Parter",
title = "Mildly nonlinear elliptic partial differential
equations and their numerical solution. {II}",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "129--146",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Marsal:1965:VSE,
author = "D. Marsal",
title = "{Eine Verallgemeinerung der Summenformel von Euler und
ihre Anwendung auf ausgew{\"a}hlte Probleme der
numerischen Integration}. ({German}) [{A}
Generalization of {Euler}'s Summation Formula and its
Use for Selected Problems of Numerical Integration]",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "147--154",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Osborne:1965:NNS,
author = "M. R. Osborne",
title = "A note on the numerical solution of a periodic
parabolic problem",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "155--158",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Roark:1965:MCE,
author = "A. L. Roark and G. M. Wing",
title = "A method for computing the eigenvalues of certain
integral equations",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "159--170",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 11:19:17 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Todd:1965:SIG,
author = "J. Todd",
title = "On smallest isolated {Gerschgorin} disks for
eigenvalues",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "170--175",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
}
@Article{Brosowski:1965:ERT,
author = "Bruno Brosowski",
title = "{{\"U}ber die Eindeutigkeit der rationalen
Tschebyscheff-Approximationen}. ({German}) [{On} the
uniqueness of rational {Chebyshev} approximations]",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "176--186",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Jun 02 12:04:07 1997",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Parlett:1965:CA,
author = "B. Parlett",
title = "Convergence of the {$QR$} algorithm",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "187--193",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Miller:1965:ASF,
author = "G. F. Miller",
title = "Algorithms for special functions. {II}",
journal = j-NUM-MATH,
volume = "7",
number = "2",
pages = "194--196",
month = apr,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
series = "Handbook Series Special Functions",
acknowledgement = ack-nhfb,
}
@Article{Garsia:1965:SBB,
author = "A. M. Garsia",
title = "Some bounds on best uniform linear approximation",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "197--205",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Golub:1965:NMS,
author = "G. H. Golub",
title = "Numerical Methods for Solving Linear Least Squares
Problems",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "206--216",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "65.20",
MRnumber = "31\#5323",
MRreviewer = "W. J. Kotz{\'e}",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib",
acknowledgement = ack-nhfb,
keywords = "Householder transformation; lsq; nla; qrd; updating",
}
@Article{Bennett:1965:TFM,
author = "J. M. Bennett",
title = "Triangular factors of modified matrices",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "217--221",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Kuenzi:1965:DA,
author = "H. P. Kuenzi and H. Tzschach",
title = "The duoplex-algorithm",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "222--225",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Heap:1965:LDP,
author = "B. R. Heap and M. S. Lynn",
title = "On a linear {Diophantine} problem of {Frobenius}: an
improved algorithm",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "226--231",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Haemmerlin:1965:UAS,
author = "Guenther Haemmerlin",
title = "{{\"U}ber ableitungsfreie Schranken f{\"u}r
Quadraturfehler. II: Erg{\"a}nzungen und
M{\"o}glichkeiten zur Verbesserung}. ({German}) [{On}
constraints without derivatives for quadrature errors.
{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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Cochran:1965:ZHF,
author = "J. A. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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 = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib;
Theory/Matrix.bib",
note = "Also in \cite[pp. 111--118]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Nemeth:1965:CEF,
author = "G. Nemeth",
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",
acknowledgement = ack-nhfb,
}
@Article{Klee:1965:CLP,
author = "V. 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",
acknowledgement = ack-nhfb,
}
@Article{Ralston:1965:RCA,
author = "A. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 119--133]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
keywords = "Gram-Schmidt algorithm; lsq; nla; software",
}
@Article{Bulrisch:1965:NCE,
author = "R. Bulrisch",
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",
acknowledgement = ack-nhfb,
}
@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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 50--56]{Wilkinson:1971:LA}.",
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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 9--30]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
keywords = "Cholesky decomposition; nla; software",
}
@Article{Barnhill:1965:CQR,
author = "R. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Smith:1965:QMB,
author = "F. 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",
acknowledgement = ack-nhfb,
}
@Article{Keller:1965:AFD,
author = "H. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
}
@Article{Bulirsch:1966:NTO,
author = "R. Bulirsch and J. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
note = "See addendum \cite{Dejon:1966:AST}.",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Lieu:1966:MCE,
author = "Bui Trong Lieu 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",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Schaefke:1966:VBC,
author = "F. W. Schaefke and D. 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",
acknowledgement = ack-nhfb,
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 = "Theory/Matrix.bib",
acknowledgement = ack-nhfb,
annote = "Cited in \cite{govl:89}.",
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@Article{Stenger:1966:BEG,
author = "F. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Widlund:1966:SPD,
author = "O. 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",
acknowledgement = ack-nhfb,
}
@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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 31--44]{Wilkinson:1971:LA}.",
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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 93--110]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
keywords = "linear system; lud; nla; software",
}
@Article{Stetter:1966:NAF,
author = "H. 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",
acknowledgement = ack-nhfb,
}
@Article{Lambert:1966:GMM,
author = "J. D. Lambert and B. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Guderley:1966:RTP,
author = "K. G. Guderley and P. 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",
acknowledgement = ack-nhfb,
}
@Article{Kerner:1966:GBN,
author = "I. 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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Barrodale:1966:ABL,
author = "I. Barrodale and A. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Yamamoto:1966:CMD,
author = "T. 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",
acknowledgement = ack-nhfb,
}
@Article{Haemmerlin:1966:AQA,
author = "G. Haemmerlin",
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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Pereyra:1966:IAS,
author = "V. 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",
acknowledgement = ack-nhfb,
}
@Article{Gorenflo:1966:SAT,
author = "R. Gorenflo and Y. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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)",
}
@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 = "Theory/Matrix.bib",
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",
note = "Also in \cite[pp. 202--211]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Nickel:1966:UNF,
author = "K. 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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Nickel:1966:NBW,
author = "K. 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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Daniel:1966:CAM,
author = "J. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Fiedler:1966:MI,
author = "M. 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",
acknowledgement = ack-nhfb,
}
@Article{Henrici:1966:TEE,
author = "P. Henrici and P. Pfluger",
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",
acknowledgement = ack-nhfb,
}
@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 = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Fiedler:1966:SGP,
author = "M. Fiedler and S. V. Ptak",
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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 = "ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "See erratum \cite{Cody:1968:CRC}.",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Stenger:1966:EBE,
author = "F. 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",
acknowledgement = ack-nhfb,
}
@Article{Penkov:1966:HMA,
author = "B. Penkov and B. 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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Klee:1966:CPD,
author = "V. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Symm:1966:IEM,
author = "G. 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",
acknowledgement = ack-nhfb,
}
@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 = "Theory/Matrix.bib",
acknowledgement = ack-nhfb,
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",
note = "See \cite{Dejon:1966:STU}.",
acknowledgement = ack-nhfb,
}
@Article{Bulirsch:1967:NQE,
author = "R. Bulirsch and J. 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",
series = "Handbook Series Numerical Integration",
acknowledgement = ack-nhfb,
}
@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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 70--92]{Wilkinson:1971:LA}.",
series = "Handbook Series Linear Algebra",
acknowledgement = ack-nhfb,
keywords = "band matrix; eig; linear system; nla; software",
}
@Article{Hofmann:1967:AED,
author = "P. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Urabe:1967:NSM,
author = "M. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Bulrisch:1967:NCS,
author = "R. Bulrisch",
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",
series = "Handbook Series Special Functions",
acknowledgement = ack-nhfb,
}
@Article{Barth:1967:CES,
author = "R. S. Martin 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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 249--256]{Wilkinson:1971:LA}.",
series = "Handbook Series Linear Algebra",
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",
note = "See birthday greetings \cite{Ciarlet:1998:ERV}.",
acknowledgement = ack-nhfb,
}
@Article{Merzrath:1967:DSP,
author = "E. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Eisen:1967:ESC,
author = "D. 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",
acknowledgement = ack-nhfb,
}
@Article{Gries:1967:CCC,
author = "D. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Walter:1967:BIL,
author = "W. 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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Pyle:1967:GIA,
author = "L. D. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Tsuda:1967:MKP,
author = "T. Tsuda and K. Ichida and T. 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",
acknowledgement = ack-nhfb,
}
@Article{Atkinson:1967:SNU,
author = "K. 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",
acknowledgement = ack-nhfb,
}
@Article{Daniel:1967:CCG,
author = "J. 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",
acknowledgement = ack-nhfb,
}
@Article{Maitre:1967:NCN,
author = "J. F. 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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@Article{Dunham:1967:TRC,
author = "C. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Parlett:1967:CCQ,
author = "B. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Reinsch:1967:SSF,
author = "C. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Bohl:1967:NAH,
author = "E. 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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@Article{Kadner:1967:NBI,
author = "H. 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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Ryan:1967:SMC,
author = "J. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Miller:1967:PBO,
author = "J. 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",
acknowledgement = ack-nhfb,
}
@Article{Eisen:1967:NS,
author = "D. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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 = "Parallel/par.lin.alg.bib; Theory/Matrix.bib",
note = "Also in \cite[pp. 327--338]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Heller:1968:UPC,
author = "S. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Forsythe:1968:ADD,
author = "G. 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",
acknowledgement = ack-nhfb,
}
@Article{Lynn:1968:NSS,
author = "M. S. Lynn and W. 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",
acknowledgement = ack-nhfb,
}
@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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 303--314]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
keywords = "geig; nla; software; symmetric matrix",
}
@Article{Pereyra:1968:IDC,
author = "V. 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",
acknowledgement = ack-nhfb,
}
@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 = "Theory/Matrix.bib",
acknowledgement = ack-nhfb,
annote = "Cited in \cite{govl:89}.",
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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Mueller:1968:ELA,
author = "H. 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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Werner:1968:NSS,
author = "W. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 212--226]{Wilkinson:1971:LA}.",
keywords = "eig; Householder transformation; nla; software;
symmetric matrix; tridiagonal matrix",
}
@Article{Thomee:1968:EDE,
author = "V. Thomee and B. 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",
acknowledgement = ack-nhfb,
}
@Article{Yamamoto:1968:ECO,
author = "T. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@Article{Meersman: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",
acknowledgement = ack-nhfb,
}
@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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 257--272]{Wilkinson:1971:LA}.",
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Bowdler:1968:ASM,
author = "H. J. Bowdler and R. S. Martin and C. Reinsch and J.
H. Wilkinson",
title = "The {$QR$} and {$LR$} Algorithms for Symmetric
Matrices",
journal = j-NUM-MATH,
volume = "11",
number = "4",
pages = "293--306",
month = may,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "Theory/Matrix.bib",
note = "Also in \cite[pp. 227--240]{Wilkinson:1971:LA}.",
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",
acknowledgement = ack-nhfb,
}
@Article{Polya:1968:GME,
author = "George Polya",
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",
acknowledgement = ack-nhfb,
}
@Article{Medley:1968:SIGa,
author = "H. I. Medley and R. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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 = "Theory/Matrix.bib",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Eckhardt:1968:EEW,
author = "U. 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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Dunham:1968:TRC,
author = "C. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Moore:1968:ANO,
author = "R. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Pomentale:1968:DRL,
author = "T. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@Article{Marshall:1968:SMA,
author = "A. W. Marshall and I. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Zenger:1968:CPB,
author = "C. 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",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Maitre:1968:CNA,
author = "J. F. 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",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Ghizzetti:1968:PCQ,
author = "A. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Wets:1968:TAC,
author = "R. J. B. Wets and C. 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",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Stetter:1968:INM,
author = "H. 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",
acknowledgement = ack-nhfb,
}
@Article{Stoer:1968:LBM,
author = "J. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Brown:1968:NLI,
author = "K. 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 = "Theory/Matrix.bib",
acknowledgement = ack-nhfb,
keywords = "Newton's method; nlop",
}
@Article{Atteia:1968:FSD,
author = "M. 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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
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 = "Theory/Matrix.bib",
annote = "Cited in \cite{govl:89}.",
keywords = "iter; linear system; nla; relaxation",
}
@Article{Kreiss:1968:NSS,
author = "H. O. 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",
acknowledgement = ack-nhfb,
}
@Article{Manav:1968:FAV,
author = "M. Manav and J. 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",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibsource = "Graphics/siggraph/pre75.bib",
oldlabel = "geom-397",
}
@Article{Cody:1968:CRC,
author = "W. J. Cody",
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 = "ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "See \cite{Cody:1966:RCA}.",
acknowledgement = ack-nhfb,
}
@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",
note = "Also in \cite[pp. 273--283]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
}
@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",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Walter:1968:LNP,
author = "W. 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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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)",
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Martin:1968:SRG,
author = "R. 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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 339--358]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
keywords = "eig; Hessenberg matrix; nla; nonsymmetric matrix;
software",
}
@Article{Martin:1968:MAC,
author = "R. 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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 396--403]{Wilkinson:1971:LA}.",
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 = "Theory/Matrix.bib",
note = "Also in \cite[pp.~241--248]{Wilkinson:1971:HAC}, where
A. A. Dubrulle and is listed as the lead author.",
keywords = "eig; nla; QL algorithm; QR algorithm; software;
tridiagonal matrix",
}
@Article{Barnhill:1968:APM,
author = "R. 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",
acknowledgement = ack-nhfb,
}
@Article{Zlamal:1968:FEM,
author = "M. Zlamal",
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Rutishauser:1969:CAF,
author = "H. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Verner:1969:ENG,
author = "J. H. Verner",
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",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 21:30:25 1999",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Ade:1969:IHO,
author = "H. 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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Ehresmann:1969:ABA,
author = "D. 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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Osborn:1969:NPT,
author = "J. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Marek:1969:RSC,
author = "I. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Johnson:1969:UAV,
author = "L. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 315--326]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@Article{Rainey:1969:CST,
author = "J. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Dirschmid:1969:BAG,
author = "H. 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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Soukup:1969:MFR,
author = "J. 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",
acknowledgement = ack-nhfb,
}
@Article{Strassen:1969:GEO,
author = "V. Strassen",
title = "{Gaussian} Elimination is Not Optimal",
journal = j-NUM-MATH,
volume = "13",
number = "4",
pages = "354--356",
month = aug,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
}
@Article{Davis:1969:NIL,
author = "J. Davis and J. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Hadjidimos:1969:SHA,
author = "A. 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",
acknowledgement = ack-nhfb,
}
@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 = "Theory/chirplet.bib",
acknowledgement = ack-nhfb,
}
@Article{Nichols:1969:GCO,
author = "N. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Symm:1969:CMD,
author = "G. 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",
acknowledgement = ack-nhfb,
}
@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--471",
month = oct,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
}
%%% 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",
acknowledgement = ack-nhfb,
}
@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 = "Parallel/par.lin.alg.bib; Theory/Matrix.bib",
keywords = "condition; lsq; nla; pert; scaling",
}
@Article{Hoffman:1969:TNT,
author = "K. H. 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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Zlamal:1969:SFE,
author = "M. Zlamal",
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
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,
}
@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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 359--371]{Wilkinson:1971:LA}.",
keywords = "eig; Hessenberg matrix; nla; QR algorithm; software",
}
@Article{Eberlein:1970:SCE,
author = "P. 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 = "Parallel/par.lin.alg.bib",
note = "Also in \cite[pp. 404--417]{Wilkinson:1971:LA}.",
}
@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",
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Bosarge:1970:IDM,
author = "W. E. {Bosarge, Jr.} and P. 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",
acknowledgement = ack-nhfb,
}
@Article{Borsch-Supan:1970:RPN,
author = "W. 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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Davis:1970:TY,
author = "C. 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",
acknowledgement = ack-nhfb,
}
@Article{Schonhage:1970:MRI,
author = "A. 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",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Tue Oct 19 10:29:30 MDT 1999",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@Article{Lode:1970:NNE,
author = "K. 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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Christiansen:1970:NSO,
author = "J. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Natterer:1970:SEG,
author = "F. 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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Jamet:1970:CFD,
author = "P. 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",
acknowledgement = ack-nhfb,
}
@Article{Fair:1970:PAO,
author = "W. Fair and Y. 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",
acknowledgement = ack-nhfb,
}
@Article{Hoffmann:1970:NTA,
author = "K. H. 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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Zlamal:1970:FEP,
author = "M. Zlamal",
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",
acknowledgement = ack-nhfb,
}
@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 = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib;
Parallel/par.lin.alg.bib; Theory/Matrix.bib",
note = "Also in \cite[pp. 134--151]{Wilkinson:1971:LA}.",
keywords = "lsq; nla; rank determination; regularization;
software; svd",
}
@Article{Shah:1970:TDP,
author = "J. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Rund:1970:RCB,
author = "H. 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",
acknowledgement = ack-nhfb,
}
@Article{Ruhe:1970:PMV,
author = "A. 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 = "ftp://ftp.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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 = "Theory/Matrix.bib",
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",
acknowledgement = ack-nhfb,
}
@Article{Schroeder:1970:PIP,
author = "J. Schroeder",
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",
acknowledgement = ack-nhfb,
}
@Article{Schaefke:1970:AEI,
author = "F. W. Schaefke",
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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
}
@Article{Urabe:1970:IOS,
author = "M. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
corpsource = "Inst. Technic. Hochschule Darmstadt, West Germany",
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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Univ. Frankfurt, West Germany",
keywords = "convergence of numerical methods; difference
equations",
language = "German",
}
@Article{Schaefer:1970:ANE,
author = "H. 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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
keywords = "convergence of numerical methods; function
approximation; linear algebra",
language = "German",
}
@Article{Martensen:1970:RGQ,
author = "E. 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",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
keywords = "integration; numerical analysis",
language = "German",
}
@Article{Miklosko:1970:APC,
author = "J. Miklosko",
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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4160 (Numerical integration and differentiation)",
corpsource = "Slovak Acad. Sci., SSSR, USSR",
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",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
keywords = "nonlinear equations; numerical methods; poles and
zeros; polynomials",
}
@Article{Schmidt:1970:LMN,
author = "Jochen W. Schmidt and K. 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",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques); C4130 (Interpolation and function
approximation)",
corpsource = "Univ. Dresden, East Germany",
keywords = "interpolation; nonlinear programming; optimisation",
language = "German",
}
@Article{Zenisek:1970:IPT,
author = "A. Zenisek",
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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Tech. Univ., Brno, Czechoslovakia",
keywords = "interpolation; polynomials",
}
@Article{Stallmann:1970:NSI,
author = "F. 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",
acknowledgement = ack-nhfb,
classification = "C4180 (Integral equations)",
corpsource = "Univ. Tennessee, TN, USA",
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",
acknowledgement = ack-nhfb,
classification = "C4190 (Other numerical methods)",
corpsource = "Univ. Texas, Austin, TX, USA",
keywords = "iterative methods; polynomials",
}
@Article{Baker:1970:EPI,
author = "C. 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",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
corpsource = "Univ. Manchester, UK",
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",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4180
(Integral equations)",
corpsource = "Dept. Computer Sci., Haifa, Israel",
keywords = "error analysis; integral equations; numerical
methods",
}
@Article{vonFinckenstein:1970:PWM,
author = "K. 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",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Argonne Nat. Lab., IL, USA",
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Univ. Wisconsin, WI, USA",
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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Texas A and M Univ., TX, USA",
keywords = "differential equations; numerical methods;
optimisation; stability",
}
@Article{Lucas:1970:GS,
author = "T. 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",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
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",
acknowledgement = ack-nhfb,
classification = "A0270 (Computational techniques); A4400 (Heat flow,
thermal and thermodynamic processes); A4725Q
(Convection and heat transfer); C4170 (Differential
equations)",
keywords = "calculation; differential equations; heat conduction;
physics",
}
@Article{Barrar:1970:RAN,
author = "R. 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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
keywords = "convergence of numerical methods",
}
@Article{Lamprecht:1970:AFR,
author = "G. 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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
keywords = "function approximation",
language = "German",
}
@Article{Hertling:1970:APC,
author = "J. 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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
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",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques)",
keywords = "variational techniques",
language = "German",
}
@Article{Jerome:1970:LSM,
author = "J. 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",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Northwestern Univ., Evanston, IL, USA",
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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "IBM Corp., Houston, TX, USA",
keywords = "convergence of numerical methods; iterative methods;
matrix algebra",
}
@Article{Howland:1970:CMS,
author = "J. L. Howland and J. A. 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",
acknowledgement = ack-nhfb,
classification = "C1320 (Stability in control theory); C4140 (Linear
algebra)",
corpsource = "Univ. Ottawa, Ont., Canada",
keywords = "Lyapunov methods; matrix algebra; numerical methods",
}
@Article{Marsaglia:1970:RCR,
author = "G. 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",
acknowledgement = ack-nhfb,
classification = "C7890 (Other special applications of computing)",
corpsource = "Boeing Sci. Res. Labs., Seattle, WA, USA",
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",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C1140G (Monte Carlo methods); C7890 (Other special
applications of computing)",
corpsource = "CNEN, Bologna, Italy",
keywords = "Monte Carlo methods; random number generation",
}
@Article{Rowland:1970:SBD,
author = "J. H. Rowland and J. 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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Univ. Wyoming, Laramie, WY, USA",
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques)",
corpsource = "Ernst-Moritz-Arndt-Univ., Greifswald, East Germany",
keywords = "nonlinear programming",
}
@Article{Daniel:1970:SGC,
author = "J. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@Article{Deutsch:1970:MN,
author = "E. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Nat. Phys. Lab., Teddington, UK",
note = "See also \cite[pp.~266--272]{Wilkinson:1971:HAC}.",
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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
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",
acknowledgement = ack-nhfb,
}
@Article{Gaier:1970:SSA,
author = "D. 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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
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 = "A. S. Householder and R. S. Varga and J. 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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Univ. Tennessee, Knoxville, TN, USA",
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 = "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",
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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Colorado State Univ., CO, USA",
keywords = "matrix algebra",
}
@Article{Lebaud:1970:LDA,
author = "C. 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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
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 = "Theory/Matrix.bib",
note = "Also in \cite[pp. 372--395]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
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",
note = "Also in \cite[pp. 284--302]{Wilkinson:1971:LA}.",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
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",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
keywords = "numerical analysis; partial differential equations",
}
@Article{Bacopoulos:1970:ASC,
author = "A. 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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
keywords = "linear differential equations; predictor-corrector
methods",
}
@Article{Ferreira:1970:ZMH,
author = "E. M. Ferreira and J. 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",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations); C4170
(Differential equations)",
corpsource = "Univ. New Mexico, Albuquerque, NM, USA",
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 = "I. 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",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods)",
corpsource = "Univ. Maryland, College Park, MD, USA",
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 = "K. M. Brown and W. 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",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
corpsource = "Cornell Univ., Ithaca, NY, USA",
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",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "State Univ., Blacksburg, VA, USA",
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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Bell Telephone Labs., Murray Hill, NJ, USA",
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 = "Theory/o_ccd.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Cornell Univ., Ithaca, NY, USA",
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Indian Inst. Technol., New Delhi, India",
keywords = "analytic functions; error bounds; errors; integration;
numerical integration; quadrature formula",
treatment = "T Theoretical or Mathematical",
}
@Article{Kress:1971:ART,
author = "R. 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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
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",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation);
C4190 (Other numerical methods)",
corpsource = "Univ. California, Los Alamos, NM, USA",
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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C4190 (Other
numerical methods)",
corpsource = "Univ. Texas, Austin, TX, USA",
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 = "R. 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",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques); C4110 (Error analysis in numerical
methods)",
corpsource = "Univ. Texas, Austin, TX, USA",
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 = "H. 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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Kent State Univ., OH, USA",
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 = "T. Kiyono and M. 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",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C4190 (Other
numerical methods)",
corpsource = "Kyoto Univ., Japan",
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 = "C. 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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Naval Weapons Center, China Lake, CA, USA",
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",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Essex, UK",
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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
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 = "J. 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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Univ. Wyoming, Laramie, WY, USA",
keywords = "Chebyshev approximation; inequalities; interpolation
points; polynomials",
treatment = "T Theoretical or Mathematical",
}
@Article{Thomee:1971:CNP,
author = "V. Thomee",
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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Univ. G{\"o}teborg, Sweden",
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C4190 (Other
numerical methods)",
corpsource = "Lab. Central des Ponts et Chauss{\'e}es, Paris,
France",
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",
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",
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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "IBM, Yorktown Heights, NY, USA",
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",
acknowledgement = ack-nhfb,
classification = "C1220 (Simulation, modelling and identification);
C4110 (Error analysis in numerical methods)",
corpsource = "Univ. Hamburg, West Germany",
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",
acknowledgement = ack-nhfb,
classification = "C4190 (Other numerical methods)",
keywords = "convergence of numerical methods; epsilon algorithm;
modification",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Brauer:1971:RPH,
author = "A. 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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Univ. Dortmund, West Germany",
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",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
corpsource = "Bell Telephone Labs., Murray Hill, NJ, USA",
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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Tilburg School Economics, Netherlands",
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 = "Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Inst. Statistical Math., Minatoku, Tokyo, Japan",
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Kuttler:1971:FAE,
author = "J. 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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "John Hopkins Univ., Silver Spring, MD, USA",
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",
acknowledgement = ack-nhfb,
classification = "C1320 (Stability in control theory); C4130
(Interpolation and function approximation)",
corpsource = "Australian Nat. Univ., Canberra, Australia",
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",
acknowledgement = ack-nhfb,
}
@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 {KCx}= 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",
acknowledgement = ack-nhfb,
classification = "C4180 (Integral equations)",
corpsource = "Univ. New Mexico, Albuquerque, NM, USA",
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",
acknowledgement = ack-nhfb,
classification = "C4190 (Other numerical methods)",
corpsource = "IBM Sci. Centre, Houston, TX, USA",
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",
acknowledgement = ack-nhfb,
classification = "C4190 (Other numerical methods)",
corpsource = "Bell Telephone Labs., Murray Hill, NY, USA",
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",
acknowledgement = ack-nhfb,
}
@Article{Chatelin-Laborde:1971:PMH,
author = "F. 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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Inst. Math. Appliqu{\'e}es, Grenoble, France",
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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
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 = "D. 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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
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 = "B. 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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Sandia Labs., Albuquerque, NM, USA",
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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Hitachi Ltd., Kawasaki, Japan",
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",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
corpsource = "Michigan State Univ., East Lansing, MI, USA",
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",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Joubert:1971:EDA,
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",
acknowledgement = ack-nhfb,
}
@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",
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,
}
@Article{Joubert:1971:EDA,
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",
acknowledgement = ack-nhfb,
}
@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",
acknowledgement = ack-nhfb,
}
@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 = "Theory/Matrix.bib",
acknowledgement = ack-nhfb,
annote = "Cited in \cite{govl:89}.",
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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Kyoto Univ., Japan",
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",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4170
(Differential equations)",
corpsource = "Univ. Leiden, Netherlands",
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. 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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4180 (Integral equations)",
corpsource = "Tech. Hochschule Wien, Austria",
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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Univ. M{\"u}nchen, West Germany",
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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C5230 (Digital arithmetic methods)",
corpsource = "Univ. Ulm, West Germany",
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 = "H. 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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
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",
acknowledgement = ack-nhfb,
classification = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Israel Inst. Technol., Haifa, Israel",
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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C7300 (Natural
sciences computing)",
corpsource = "Univ. Sussex, Brighton, UK",
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",
acknowledgement = ack-nhfb,
classification = "C4180 (Integral equations)",
corpsource = "Westinghouse Bettis Atomic Power Lab., West Mifflin,
PA, USA",
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 = "E. Deutsch and C. 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",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Forschunginst. Funk and Math., Werthoven, West
Germany",
keywords = "eigenvalues; eigenvalues and eigenfunctions; inclusion
domains; matrix algebra; stochastic matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Pomentale:1971:CIM,
author = "T. 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",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
corpsource = "CERN, Geneva, Switzerland",
keywords = "descent property; holomorphic functions; iterative
methods; polynomial",
treatment = "T Theoretical or Mathematical",
}
@Article{Troch:1971:ISR,
author = "I. 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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Tech. Hochschule, Wien, Austria",
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",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques); C4190 (Other numerical methods)",
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 = "T. 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",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "Parallel/par.lin.alg.bib",
acknowledgement = ack-nhfb,
classification = "C5230 (Digital arithmetic methods)",
corpsource = "Math. Centre, Amsterdam, Netherlands",
keywords = "ALGOL 60 procedures; available precision; digital
arithmetic; double precision; multilength; single;
single length floating point arithmetic; subroutines",
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",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Colorado State Univ., Fort Collins, CO, USA",
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",
acknowledgement = ack-nhfb,
classification = "C4220 (Automata theory)",
corpsource = "Univ. Sydney, NSW, Australia",
keywords = "equivalence classes; finite automata; finite
semigroup; Green relations; ideal structure",
treatment = "T Theoretical or Mathematical",
}
@Article{Einarsson:1971:NTI,
author = "B. 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",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C4180 (Integral
equations)",
corpsource = "Res. Inst. Nat. Defense, Tumba, Sweden",
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 = "K. 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",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Univ. Minnesota, Minneapolis, MN, USA",
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{