%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "2.03",
%%% date = "08 July 2008",
%%% time = "19:39:28 MDT",
%%% filename = "numeralgorithms.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 = "00338 25936 95632 1045335",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
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%%% docstring = "This is a COMPLETE bibliography of the
%%% journal Numerical Algorithms (CODEN NUALEG,
%%% ISSN 1017-1398), published by J. C. Baltzer,
%%% Basel, Switzerland, then from about 2001, by
%%% Kluwer and/or Lippincott Williams & Wilkins,
%%% and currently by Springer.
%%%
%%% Publication began with Volume 1, Number 1, in
%%% April 1991.
%%%
%%% The journal appears in volumes of four
%%% issues, but frequently, multiple issues are
%%% bound together. There can be from one to
%%% four volumes per year.
%%%
%%% The Editor-in-Chief maintains a World-Wide
%%% Web page for this journal at
%%%
%%% http://www.math.psu.edu/dna/contents/na.html
%%%
%%% with data for volumes 1--22 (1991--1999).
%%%
%%% The publisher Web site for this journal is
%%%
%%% http://www.kluweronline.com/issn/1017-1398
%%%
%%% with tables of contents data for 1998--date.
%%%
%%% The journal has since been taken over by
%%% Springer Science+Business Media B.V., but
%%% the short Kluwer URL continues to work, as
%%% do these Springer URLs:
%%%
%%% http://springerlink.metapress.com/openurl.asp?genre=journal&issn=1017-1398
%%% http://www.springerlink.com/link.asp?id=101751
%%% http://www.springerlink.com/openurl.asp?genre=journal&eissn=1572-9265
%%%
%%% At version 2.03, the year coverage looked
%%% like this:
%%%
%%% 1991 ( 19) 1997 ( 67) 2003 ( 95)
%%% 1992 ( 70) 1998 ( 59) 2004 ( 86)
%%% 1993 ( 69) 1999 ( 76) 2005 ( 72)
%%% 1994 ( 55) 2000 ( 72) 2006 ( 64)
%%% 1995 ( 48) 2001 ( 70) 2007 ( 58)
%%% 1996 ( 62) 2002 ( 63) 2008 ( 36)
%%%
%%% Article: 1131
%%% Proceedings: 10
%%%
%%% Total entries: 1141
%%%
%%% At version 2.00, BibTeX entries derived from
%%% data at the Springer Web site for all back
%%% issues were merged in, providing updates and
%%% corrections to many entries.
%%%
%%% In addition, thanks to Springer Verlag's
%%% sensible choice of predictable DOIs (Digital
%%% Object Identifiers) and article URLs, EVERY
%%% article in the journal is now directly
%%% reachable from its BibTeX entry. Of course,
%%% access to article full text normally requires
%%% a journal subscription that may or may not be
%%% available at your site.
%%%
%%% The publishers' table-of-contents Web pages
%%% regrettably truncate author lists after the
%%% third author, but at least mark the omission
%%% with ``et al.''. For every such abbreviated
%%% list, the article Web pages have been visited
%%% to find the complete and correct author list,
%%% so no author in this journal should be
%%% unfairly ignored by this bibliography.
%%%
%%% Data for the bibliography has been collected
%%% from the IEEE INSPEC databases (1991--1996),
%%% from the MathSciNet database, and from the
%%% bibliographies in the TeX User Group and
%%% BibNet collections. This journal is not
%%% covered by the Compendex or OCLC Contents1st
%%% databases.
%%%
%%% 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, using ``bibsort -byvolume''.
%%%
%%% 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
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%%% Solovay's checksum utility.",
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%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|http://www.math.utah.edu/~beebe/|"}
%%% ====================================================================
%%% Journal abbreviations:
@String{j-NUMER-ALGORITHMS = "Numerical Algorithms"}
%%% ====================================================================
%%% Publisher abbreviations:
@String{pub-BALTZER = "J. C. Baltzer AG, Scientific Publishing
Company"}
@String{pub-BALTZER:adr = "Basel, Switzerland"}
%%% ====================================================================
%%% Bibliography entries:
@Article{Ferng:1991:ALM,
author = "William R. Ferng and Gene H. Golub and Robert J.
Plemmons",
title = "Adaptive {Lanczos} methods for recursive condition
estimation",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "1",
pages = "1--19",
month = "????",
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10 (65F20 65F35 93E10 94A12)",
MRnumber = "92h:65053",
MRreviewer = "De Hui Chen",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function
approximation)C4140 (Linear algebra); B0290H (Linear
algebra); B6140 (Signal processing and detection);
C1260 (Information theory); C4130 (Interpolation and
function approximation)",
corpsource = "Dept. of Math., North Carolina State Univ., Raleigh,
NC, USA",
keywords = "adaptive Lanczos estimator; adaptive Lanczos methods;
covariance method; least squares approximations; matrix
algebra; matrix condition number; matrix modification;
numerical methods; recursive condition estimation;
recursive least squares computations; signal
processing; sliding data windows",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Boley:1991:NLF,
author = "Daniel L. Boley and Sylvan Elhay and Gene H. Golub and
Martin H. Gutknecht",
title = "Nonsymmetric {Lanczos} and finding orthogonal
polynomials associated with indefinite weights",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "1",
pages = "21--43",
month = "????",
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F15 (65F30 65F50 65G05)",
MRnumber = "93f:65033",
MRreviewer = "Alexander S. Babanin",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); B6120B (Codes); C4140
(Linear algebra)",
corpsource = "Dept. of Comput. Sci., Minnesota Univ., Minneapolis,
MN, USA",
keywords = "checksum-based error correction; error correction
codes; fault-tolerant computing; indefinite inner
product; indefinite weights; matrix algebra; matrix
Lanczos algorithm; modified Chebyshev algorithm;
modified Lanczos algorithm; mutual bi-orthogonality
property; nonsymmetric Lanczos algorithm; orthogonal
polynomials; polynomials; tridiagonal matrix",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Kulkarni:1991:S,
author = "Rekha Kulkarni and Pierre-Jean Laurent",
title = "${Q}$-splines",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "1",
pages = "45--73",
month = "????",
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A15 65D05 65D10)",
MRnumber = "92i:65032",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Indian Inst. of Technol., Bombay,
India",
keywords = "$C^2$ quartic spline; $G^2$ continuity; associated
B-spline; Bezier representation; block 2*2 tri-diagonal
system; continuous; cubic spline; geometric continuity;
interpolating; piecewise linear; piecewise polynomial
function; Q-splines; smoothing; smoothing spline;
splines (mathematics); symmetric tri-diagonal linear
system; weighted spline",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Micchelli:1991:UREa,
author = "Charles A. Micchelli",
title = "Using the refinement equation for the construction of
pre-wavelets",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "1",
pages = "75--116",
month = "????",
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (41A15 42C15)",
MRnumber = "93e:65023",
MRreviewer = "George A. Anastassiou",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C4190 (Other numerical methods)",
corpsource = "Dept. of Math. Sci., IBM Thomas J. Watson Res. Center,
Yorktown Heights, NY, USA",
keywords = "block spin method; cardinal spline functions;
compactly supported orthonormal wavelets; Lemarie
Ondelettes; multiresolution analysis; numerical
methods; pre-wavelets; refinement equation; splines
(mathematics); wavelet construction; wavelets",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Barry:1991:SPD,
author = "Phillip J. Barry and Ronald N. Goldman",
title = "Shape parameter deletion for {P{\'o}lya} curves",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "2",
pages = "121--137",
month = "????",
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A15 (41A05)",
MRnumber = "92k:41016",
MRreviewer = "G. L. Iliev",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Barkatou:1991:CRS,
author = "M. A. Barkatou",
title = "Characterization of regular singular linear systems of
difference equations",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "2",
pages = "139--154",
month = "????",
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "39A10 (39A12 65Q05)",
MRnumber = "92m:39004",
MRreviewer = "P. W. Eloe",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Carnicer:1991:BCI,
author = "J. M. Carnicer",
title = "On best constrained interpolation",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "2",
pages = "155--176",
month = "????",
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A05 (41A29 49K27 65D05)",
MRnumber = "92m:41008",
MRreviewer = "Blagun Kalchev",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Sablonniere:1991:CFA,
author = "Paul Sablonni{\`e}re",
title = "Comparison of four algorithms accelerating the
convergence of a subset of logarithmic fixed point
sequences",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "2",
pages = "177--197",
month = "????",
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B05",
MRnumber = "92j:65004",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Brezinski:1991:ABC,
author = "Claude Brezinski and Hassane Sadok",
title = "Avoiding breakdown in the {CGS} algorithm",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "2",
pages = "199--206",
month = "????",
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10",
MRnumber = "92h:65050",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Brezinski:1991:NPO,
author = "C. Brezinski and M. Redivo Zaglia",
title = "A new presentation of orthogonal polynomials with
applications to their computation",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "2",
pages = "207--221",
month = "????",
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "33C45 (42C05 65D20)",
MRnumber = "93h:33004",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{leMehaute:1991:TFS,
author = "A. {le M{\'e}haut{\'e}}",
title = "{Taylorian} fields and subdivision algorithms",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "3",
pages = "225--235",
month = sep,
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (65D17)",
MRnumber = "92i:65026",
MRreviewer = "Michael Kallay",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4260 (Computational geometry)",
corpsource = "Lab. d'Anal. Numer. et d'Optimisation, Univ. des Sci.
et Tech. de Lille Flandres-Artois, Villeneuve d'Ascq,
France",
keywords = "approximation properties; CAGD; computational
geometry; curves; error bounds; interpolation;
interpolatory subdivision schemes; subdivision
algorithms; Taylorian fields",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Matos:1991:ARV,
author = "Ana C. Matos",
title = "Acceleration results for the vector {E}-algorithm",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "3",
pages = "237--260",
month = sep,
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B05",
MRnumber = "92i:65014",
MRreviewer = "I. N. Molchanov",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Fac. de Ciencias, Porto Univ., Portugal",
keywords = "acceleration properties; convergence; convergence of
numerical methods; extrapolation; numerical stability;
pipeline processing; vector E-algorithm",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Brezinski:1991:ABN,
author = "C. Brezinski and M. {Redivo Zaglia} and H. Sadok",
title = "Avoiding breakdown and near-breakdown in {Lanczos}
type algorithms",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "3",
pages = "261--284",
month = sep,
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10 (65F25)",
MRnumber = "92j:65041",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "See erratum \cite{Brezinski:1992:AAB}.",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Lab. d'Anal. Numer. et d'Optimisation, Univ. des Sci.
et Tech. de Lille Flandres-Artois, Villeneuve d'Ascq,
France",
keywords = "conjugate gradient methods; iterative methods; Lanczos
type algorithms; matrix algebra; method of moments;
method of recursive zoom; near-breakdown; orthogonal
polynomials; rounding errors; systems of linear
equations; zero scalar product",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{VanBarel:1991:CNP,
author = "Marc {Van Barel} and Adhemar Bultheel",
title = "The computation of non-perfect {Pad{\'e}-Hermite}
approximants",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "3",
pages = "285--304",
month = sep,
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A21 (65D15)",
MRnumber = "92k:41023",
MRreviewer = "Manfred v. Golitschek",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Comput. Sci., Katholieke Univ., Leuven,
Belgium",
keywords = "approximation; function approximation; Pade-Hermite
problem; polynomial vectors; polynomials",
pubcountry = "Switzerland",
treatment = "P Practical",
}
@Article{Csordas:1991:LIA,
author = "G. Csordas and A. Ruttan and R. S. Varga",
title = "The {Laguerre} inequalities with applications to a
problem associated with the {Riemann} hypothesis",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "3",
pages = "305--329",
month = sep,
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "30D10 (30D15 65E05)",
MRnumber = "93c:30041",
MRreviewer = "Timothy S. Norfolk",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Hawaii Univ., Honolulu, HI, USA",
keywords = "de Bruijn-Newman constant; function approximation;
Jensen polynomials; Laguerre inequalities; lower
bounds; nonreal zeros; numerical method; polynomials;
real entire function; Riemann hypothesis",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Micchelli:1991:UREb,
author = "Charles A. Micchelli and Christophe Rabut and
Florencio I. Utreras",
title = "Using the refinement equation for the construction of
pre-wavelets. {III}. {Elliptic} splines",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "4",
pages = "331--351",
month = nov,
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (41A15 42C15)",
MRnumber = "93e:65025",
MRreviewer = "George A. Anastassiou",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "IBM Res. Div., Thomas J. Watson Res. Center, Yorktown
Heights, NY, USA",
keywords = "multiresolution analysis; polyharmonic B- splines;
pre-wavelet decomposition; refinement equation; splines
(mathematics); stationary subdivision",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Berry:1991:ELS,
author = "Michael Berry and Gene Golub",
title = "Estimating the largest singular values of large sparse
matrices via modified moments",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "4",
pages = "353--373",
month = nov,
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F15 (65D32 65F50 65Y05)",
MRnumber = "93a:65046",
MRreviewer = "Cs. J. Heged{\H{u}}s",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290H (Linear algebra); C4130 (Interpolation and
function approximation); C4140 (Linear algebra)",
corpsource = "Dept. of Comput. Sci., Tennessee Univ., Knoxville, TN,
USA",
keywords = "adaptive Chebyshev semi-iterative method; asynchronous
computation; Chebyshev approximation; eigenvalues;
eigenvalues and eigenfunctions; Gauss quadrature;
information retrieval; iterative methods; Lanczos
recursion; large sparse matrices; largest singular
values estimation; linear systems of equations; matrix
algebra; modified moments; parallel computers; seismic
reflection tomography; singular vectors",
pubcountry = "Switzerland",
treatment = "A Application; P Practical; T Theoretical or
Mathematical",
}
@Article{Muhlbach:1991:MPI,
author = "G. M{\"u}hlbach and M. Gasca",
title = "Multivariate polynomial interpolation under
projectivities. {I}. {Lagrange} and {Newton}
interpolation formulas",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "4",
pages = "375--399",
month = nov,
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (41A05)",
MRnumber = "93a:65011",
MRreviewer = "Annie A. M. Cuyt",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Cordellier:1991:UKA,
author = "Florent Cordellier",
title = "On the use of {Kronecker}'s algorithm in the
generalized rational interpolation problem",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "4",
pages = "401--413",
month = nov,
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (41A05 41A20)",
MRnumber = "92i:65023",
MRreviewer = "L. Berg",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Dubuc:1992:CHP,
author = "Serge Dubuc and Abdul Malik",
title = "Convex hull of powers of a complex number, trinomial
equations and the {Farey} sequence",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "1",
pages = "1--32",
month = feb,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "11Z50 (52A10)",
MRnumber = "92m:11154",
MRreviewer = "M. Mend{\`e}s France",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C4130
(Interpolation and function approximation); C4260
(Computational geometry)",
corpsource = "Montreal Univ., Que., Canada",
keywords = "color; complex number; computational complexity;
computational geometry; convex hull; distribution
modulo 1; Farey sequence; fractal set; number of
vertices; number theory; poles and zeros; polynomial
zeros; polynomials; trinomial equations",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
xxtitle = "Convex hull powers of a complex number, trinomial
equations and the {Farey} sequence",
}
@Article{Lai:1992:FSN,
author = "Ming Jun Lai",
title = "{Fortran} subroutines for ${B}$-nets of box splines on
three- and four-directional meshes",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "1",
pages = "33--38",
month = feb,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A15)",
MRnumber = "1 149 063",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation); C4260
(Computational geometry)",
corpsource = "Dept. of Math., Utah Univ., Salt Lake City, UT, USA",
keywords = "B-nets; Bezier polynomials; bivariate box splines;
computational geometry; four-directional mesh;
interpolation; interpolatory spline; pseudo Fortran
programs; splines (mathematics)",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Rabut:1992:EHC,
author = "Christophe Rabut",
title = "Elementary $m$-harmonic cardinal ${B}$-splines",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "1",
pages = "39--61 (or 39--62??)",
month = feb,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A15 (65D07)",
MRnumber = "93c:41020",
MRreviewer = "L. L. Schumaker",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "INSA, Centre de Math., Toulouse, France",
keywords = "approximation; d-dimensional polyharmonic splines;
Dirac distribution; Fourier transform; integration
property; m-harmonic cardinal B-splines; polynomial B-
splines; quasi-interpolant; splines (mathematics);
stability; thin plate splines",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Rabut:1992:HLH,
author = "Christophe Rabut",
title = "High level $m$-harmonic cardinal ${B}$-splines",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "1",
pages = "63--84",
month = feb,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A15 (65D07)",
MRnumber = "93c:41021",
MRreviewer = "L. L. Schumaker",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "INSA, Centre de Math., Toulouse, France",
keywords = "B- spline approximation; decay; Dirac distribution;
elementary B-splines; Fourier transform; infinite
regular grid; integration; Lagrangean cardinal spline
function; m-harmonic cardinal B-spline; polyharmonic
splines; quasi-interpolant; reproduction; splines
(mathematics); thin plate spline",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Bultheel:1992:COR,
author = "Adhemar Bultheel and Pablo Gonz{\'a}lez-Vera and Erik
Hendriksen and Olav Nj{\aa}stad",
title = "The computation of orthogonal rational functions and
their interpolating properties",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "1",
pages = "85--114",
month = feb,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "42C05",
MRnumber = "93d:42024",
MRreviewer = "Tiberiu Constantinescu",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Comput. Sci., Katholieke Univ., Leuven,
Belgium",
keywords = "interpolation; polynomials; Szeg{\"o} theory;
Pick-Nevanlinna interpolation; orthogonal rational
functions; nested spaces; unit disk; complex plane;
unit circle; poles; infinity; orthogonal Szeg{\"o}
polynomials",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Osada:1992:ELT,
author = "Naoki Osada",
title = "Extensions of {Levin}'s transformations to vector
sequences",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "2",
pages = "121--131",
month = "????",
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B05 (65H10)",
MRnumber = "93c:65005",
MRreviewer = "Zuhe Shen",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Nagasaki Inst. of Appl. Sci, Japan",
keywords = "convergence of numerical methods; convergence
theorems; Levin transformations; logarithmic vector
sequences; Newton method; vector sequences; vectors",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Brezinski:1992:AAB,
author = "C. Brezinski and M. {Redivo Zaglia} and H. Sadok",
title = "Addendum to: {``Avoiding breakdown and near-breakdown
in Lanczos type algorithms'' [Numer. Algorithms {\bf 1}
(1991), no. 3, 261--284, MR 92j:65041]}",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "2",
pages = "133--136",
month = "????",
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10 (65F25)",
MRnumber = "1 165 901",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "See \cite{Brezinski:1991:ABN}.",
acknowledgement = ack-nhfb,
}
@Article{Tanabe:1992:PSR,
author = "Kunio Tanabe and Masahiko Sagae",
title = "Pivoting strategy for rank-one modification of
${LDM}^{\sf t}$-like factorization",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "2",
pages = "137--153",
month = "????",
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F05 (65F30)",
MRnumber = "93a:65034",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290H
(Linear algebra); C4110 (Error analysis in numerical
methods); C4140 (Linear algebra)",
corpsource = "Inst. of Stat. Math., Tokyo, Japan",
keywords = "error analysis; error growth; factor matrices;
inverses; LDM$^t$-like factorization; matrix algebra;
modification process; numerical example; pivoting
strategy; positive definite matrix; rank-one
modification; singular nonsymmetric matrix; symbolic
formula",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Paszkowski:1992:CAC,
author = "Stefan Paszkowski",
title = "Convergence acceleration of continued fractions of
{Poincar{\'e}}'s type $1$",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "2",
pages = "155--170",
month = "????",
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B05 (40A15)",
MRnumber = "93c:65006",
MRreviewer = "A. Bultheel",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Instytut Niskich Temp. i Badan Strukturalnych PAN,
Wroclaw, Poland",
keywords = "asymptotic behaviour; continued fractions; convergence
acceleration; convergence of numerical methods;
function approximation",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Varga:1992:SNR,
author = "Richard S. Varga and Amos J. Carpenter",
title = "Some numerical results on best uniform rational
approximation of $x^\alpha$ on $[0,1]$",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "2",
pages = "171--185",
month = "????",
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (41A20 41A50)",
MRnumber = "93b:65024",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Inst. for Comput. Math, Kent State Univ., OH, USA",
keywords = "best uniform rational approximation; extrapolation;
function approximation; polynomials; positive number;
rational approximation; real polynomials; Richardson
extrapolation",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Merrien:1992:FHI,
author = "J. L. Merrien",
title = "A family of {Hermite} interpolants by bisection
algorithms",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "2",
pages = "187--200",
month = "????",
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A05 (65D05)",
MRnumber = "93b:41005",
MRreviewer = "P. V{\'e}rtesi",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Lab. L.A.N.S., I.N.S.A. de Rennes, France",
keywords = "bisection algorithms; curve fitting; dyadic numbers;
Hermite conditions; Hermite interpolants;
interpolation; two point subdivision scheme",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Cabay:1992:SAM,
author = "Stan Cabay and George Labahn",
title = "A superfast algorithm for multidimensional {Pad{\'e}}
systems",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "2",
pages = "201--224",
month = "????",
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (41A21 65Y20)",
MRnumber = "93c:65019",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C4240 (Programming and
algorithm theory)",
corpsource = "Dept. of Comput. Sci., Alberta Univ., Edmonton, Alta.,
Canada",
keywords = "block-matrix operations; complexity; computational
complexity; cost complexity; matrix algebra; matrix
Hermite Pade; matrix Pade; matrix Pade approximants;
matrix power series; matrix simultaneous Pade
approximants; multidimensional Pade systems; superfast
algorithm; vector",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
xxauthor = "S. Caby and G. Labahn",
}
@Article{Gasca:1992:AST,
author = "M. Gasca and Charles A. Micchelli and J. M. Pe{\~n}a",
title = "Almost strictly totally positive matrices",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "2",
pages = "225--236",
month = "????",
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (15A48 65F40)",
MRnumber = "93b:65015",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. Matematica Aplicada, Zaragoza Univ., Spain",
keywords = "B-splines; collocation matrices; determinantal
identity; diagonal entries; Hurwitz matrices; matrix
algebra; splines (mathematics); totally positive
matrices; univariate knot insertion formula",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Sablonniere:1992:SNG,
author = "Paul Sablonni{\`e}re",
title = "A short note on the generalized {Euler} transform for
the summation of power series",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "3--4",
pages = "241--254",
month = sep,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B10",
MRnumber = "93j:65005",
MRreviewer = "Thomas A. Atchison",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Gasca:1992:MPI,
author = "M. Gasca and G. M{\"u}hlbach",
title = "Multivariate polynomial interpolation under
projectivities. {II}. {Neville--Aitken} formulas",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "3--4",
pages = "255--277",
month = sep,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (41A05 41A63)",
MRnumber = "94b:65020",
MRreviewer = "Annie A. M. Cuyt",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Huckle:1992:NSP,
author = "Thomas Huckle",
title = "A note on skewcirculant preconditioners for elliptic
problems",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "3--4",
pages = "279--286",
month = sep,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10 (65N06)",
MRnumber = "93g:65048",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Verlinden:1992:AEW,
author = "Pierre Verlinden and Ann Haegemans",
title = "An asymptotic expansion in wavelet analysis and its
application to accurate numerical wavelet
decomposition",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "3--4",
pages = "287--298",
month = sep,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D30 (65B05 65B15)",
MRnumber = "93g:65032",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Tommasini:1992:NAS,
author = "T. Tommasini",
title = "A new algorithm for special {Vandermonde} systems",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "3--4",
pages = "299--306",
month = sep,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F05",
MRnumber = "93g:65045",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra); C4240P (Parallel programming
and algorithm theory)",
corpsource = "Dept. of Math., Bologna Univ., Italy",
keywords = "approximation theory; complex numbers; computational
complexity; interpolation; inverse matrix; Kronecker
product; matrix algebra; parallel algorithms; special
Vandermonde systems",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Croft:1992:ACA,
author = "A. Croft",
title = "An application of convergence acceleration techniques
to a class of two-point boundary value problems on a
semi-infinite domain",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "3--4",
pages = "307--320",
month = sep,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L10 (65B99)",
MRnumber = "93g:65097",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4170 (Differential equations)",
corpsource = "Dept. of Math. Sci., Leicester Polytech., UK",
keywords = "boundary condition; boundary-value problems;
convergence acceleration algorithms; convergence of
numerical methods; extrapolate; extrapolation;
semi-infinite domain; two-point boundary value
problems; unbounded domains",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Watson:1992:LBA,
author = "G. A. Watson",
title = "Linear best approximation using a class of polyhedral
norms",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "3--4",
pages = "321--335",
month = sep,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D10 (41A50)",
MRnumber = "93g:65023",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Skeel:1992:LPE,
author = "Robert D. Skeel and Hon-Wah Tam",
title = "Limits of parallelism in explicit {ODE} methods",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "3--4",
pages = "337--349",
month = sep,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L05 (34A45 65Y05)",
MRnumber = "94c:65087",
MRreviewer = "Kevin Burrage",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C4240P (Parallel
programming and algorithm theory)",
corpsource = "Dept. of Comput. Sci., Illinois Univ.,
Urbana-Champaign, IL, USA",
keywords = "differential equations; explicit ODE methods;
multivalue methods; numerical methods; ordinary
differential equations; parallel algorithms;
parallelism",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{MacDonald:1992:IOR,
author = "Craig MacDonald and Wayne H. Enright",
title = "Implications of order reduction for implicit
{Runge--Kutta} methods",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "3--4",
pages = "351--369",
month = sep,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L06 (34A45)",
MRnumber = "93m:65103",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation);
C4170 (Differential equations)",
corpsource = "Dept. of Comput. Sci., Toronto Univ., Ont., Canada",
keywords = "implicit Runge--Kutta methods; integration; observed
order; order reduction; Runge--Kutta methods; stepsize
selection algorithm; stiff systems; variable-step
algorithms",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Bischof:1992:BAC,
author = "Christian H. Bischof and Per Christian Hansen",
title = "A block algorithm for computing rank-revealing ${QR}$
factorizations",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "3--4",
pages = "371--391",
month = sep,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F25 (65F20)",
MRnumber = "93h:65054",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Matos:1992:APC,
author = "Ana C. Matos and Marc Pr{\'e}vost",
title = "Acceleration property for the columns of the
${E}$-algorithm",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "3--4",
pages = "393--408",
month = sep,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B05 (65E05)",
MRnumber = "94b:65008",
MRreviewer = "Yuesheng Xu",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Reemtsen:1992:CPM,
author = "Rembert Reemtsen",
title = "A cutting plane method for solving minimax problems in
the complex plane",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "3--4",
pages = "409--436",
month = sep,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65K10 (41A45 41A50 65E05 90C30)",
MRnumber = "93j:65097",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C1180 (Optimisation techniques); C4130
(Interpolation and function approximation)",
corpsource = "Fachbereich Math., Tech. Univ. Berlin, Germany",
keywords = "approximation theory; complex plane; convex
programming; convex semi-infinite programming; cutting
plane method; discretization method; minimax problems;
minimax techniques",
pubcountry = "Switzerland",
treatment = "B Bibliography; T Theoretical or Mathematical",
}
@Article{Bessis:1992:MPF,
author = "Daniel Bessis and Carlos R. Handy",
title = "Moment problem formulation of the {Schr{\"o}dinger}
equation",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "1--16",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65N25 (35J10 44A60)",
MRnumber = "94e:65118",
MRreviewer = "Volker Vogelsang",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Rabinowitz:1992:EMN,
author = "Philip Rabinowitz",
title = "Extrapolation methods in numerical integration",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "17--28",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D30",
MRnumber = "93j:65036",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Beckermann:1992:RMC,
author = "Bernhard Beckermann and Carsten Carstensen",
title = "A reliable modification of the cross rule for rational
{Hermite} interpolation",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "29--44",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (41A05)",
MRnumber = "93k:65009",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Beckermann:1992:UAH,
author = "Bernhard Beckermann and George Labahn",
title = "A uniform approach for {Hermite Pad{\'e}} and
simultaneous {Pad{\'e}} approximants and their
matrix-type generalizations",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "45--54",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (41A21)",
MRnumber = "93i:65026",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Bloom:1992:IIR,
author = "T. Bloom and D. S. Lubinsky and H. Stahl",
title = "Interpolatory integration rules and orthogonal
polynomials with varying weights",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "55--65",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D30",
MRnumber = "93h:65031",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Bonan-Hamada:1992:POL,
author = "Catherine M. Bonan-Hamada and William B. Jones and W.
J. Thron and Arne Magnus",
title = "Para-orthogonal {Laurent} polynomials and associated
sequences of rational functions",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "67--74",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "30E05 (30B70 42C05 44A60 65G05)",
MRnumber = "94a:30029",
MRreviewer = "Olav Nj{\aa}stad",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Brezinski:1992:SVS,
author = "C. Brezinski and H. Sadok",
title = "Some vector sequence transformations with applications
to systems of equations",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "75--80",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B05 (65F30)",
MRnumber = "93h:65003",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Bultheel:1992:FTO,
author = "Adhemar Bultheel and Pablo Gonz{\'a}lez-Vera and Erik
Hendriksen and Olav Nj{\aa}stad",
title = "A {Favard} theorem for orthogonal rational functions
on the unit circle",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "81--89",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "42C05",
MRnumber = "94a:42023",
MRreviewer = "Guillermo L{\'o}pez Lagomasino",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Bultheel:1992:MPA,
author = "Adhemar Bultheel and Pablo Gonz{\'a}lez-Vera and Erik
Hendriksen and Olav Nj{\aa}stad",
title = "A moment problem associated to rational {Szeg{\"o}}
functions",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "91--104",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "30E05 (44A60)",
MRnumber = "94d:30066",
MRreviewer = "Marek Aleksander Kowalsk{\'i}",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Bultheel:1992:ORF,
author = "Adhemar Bultheel and Pablo Gonz{\'a}lez-Vera and Erik
Hendriksen and Olav Nj{\aa}stad",
title = "Orthogonal rational functions and quadrature on the
unit circle",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "105--116",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "42C05 (41A55)",
MRnumber = "94a:42022",
MRreviewer = "Guillermo L{\'o}pez Lagomasino",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Camacho:1992:RAS,
author = "M. Camacho and P. Gonz{\'a}lez-Vera",
title = "Rational approximants to symmetric formal {Laurent}
series",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "117--124",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A21 (30E10)",
MRnumber = "94h:41031",
MRreviewer = "H.-J. Runckel",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Carnicer:1992:RIS,
author = "J. M. Carnicer",
title = "Rational interpolation with a single variable pole",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "125--132",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A05 (41A20 65D05)",
MRnumber = "94a:41004",
MRreviewer = "Dumitru Acu",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Carstensen:1992:NAF,
author = "C. Carstensen and G. M{\"u}hlbach",
title = "The {Neville--Aitken} formula for rational
interpolants with prescribed poles",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "133--141",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A05 (41A20 65D05)",
MRnumber = "94a:41005",
MRreviewer = "R. Franke",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Coleman:1992:RAC,
author = "John P. Coleman",
title = "Rational approximations for the cosine function: ${\rm
P}$-acceptability and order",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "143--158",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (41A20 65L60)",
MRnumber = "94d:65016",
MRreviewer = "A. J. Rodrigues",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Cuyt:1992:MRD,
author = "Annie Cuyt and Brigitte Verdonk",
title = "Multivariate rational data fitting: general data
structure, maximal accuracy and object orientation",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "159--172",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D10 (65B99)",
MRnumber = "1 199 364",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C5230 (Digital arithmetic methods); C6110J
(Object-oriented programming); C6120 (File
organisation); C7310 (Mathematics)",
conflocation = "Puerto de la Cruz, Spain; 13-17 Jan. 1992",
conftitle = "International Mathematical Congress on Extrapolation
and Rational Approximation",
corpsource = "Dept. of Math. and Comput. Sci., Antwerpen Univ.,
Belgium",
keywords = "data analysis; data sets; data structure; data
structures; digital arithmetic; higher floating-point
arithmetic; interpolation; mathematics computing;
multivariate data fitting; multivariate rational
interpolation; object-oriented; object-oriented
programming; rational data fitting; rational
functions",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Rocha:1992:IRR,
author = "Z. Da Rocha",
title = "Implementation of the recurrence relations of
biorthogonality",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "173--183",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A21",
MRnumber = "94a:41032",
MRreviewer = "Olav Nj{\aa}stad",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{deBruin:1992:CSH,
author = "M. G. {de Bruin} and K. A. Driver and D. S. Lubinsky",
title = "Convergence of simultaneous {Hermite-Pad{\'e}}
approximants to the $n$-tuple of $q$-hypergeometric
series $\{{}_1\!\Phi_1({1,1\choose c,\gamma_j} and
z)\}^n_{j=1}$.",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "185--192",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "33D99 (30E10 41A21)",
MRnumber = "94b:33022",
MRreviewer = "Harold Exton",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Gasca:1992:BHB,
author = "Mariano Gasca and Jos{\'e} J. Mart{\'i}nez",
title = "Bivariate {Hermite--Birkhoff} interpolation and
{Vandermonde} determinants",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "193--199",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (41A05 41A63 65F99)",
MRnumber = "93h:65013",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Gonzalez-Concepcion:1992:MOL,
author = "C. Gonz{\'a}lez-Concepci{\'o}n and P.
Gonz{\'a}lez-Vera and E. Hendriksen",
title = "Matrix orthogonal {Laurent} polynomials and two-point
{Pad{\'e}} approximants",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "201--209",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A21 (15A99 65F99)",
MRnumber = "94b:41013",
MRreviewer = "Michael J. Eiermann",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Gonzalez-Pinto:1992:EJS,
author = "S. Gonz{\'a}lez-Pinto and P. Gonz{\'a}lez-Vera and J.
C. Santos",
title = "On extrapolation of {Jagerman} and {Stetter} rules",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "211--222",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D32 (41A55)",
MRnumber = "94e:65031",
MRreviewer = "Mariano Gasca",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Graves-Morris:1992:SIE,
author = "P. R. Graves-Morris and R. Thukral",
title = "Solution of integral equations using function-valued
{Pad{\'e}} approximants. {II}",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "223--234",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65R20",
MRnumber = "94b:65174",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Hayek:1992:RAN,
author = "N. Hayek and P. Gonz{\'a}lez-Vera and F.
P{\'e}rez-Acosta",
title = "Rational approximation to {Neumann} series of {Bessel}
functions",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "235--244",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D20 (33C10)",
MRnumber = "94c:65026",
MRreviewer = "Syvert P. N{\o}rsett",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Homeier:1992:LTA,
author = "Herbert H. H. Homeier",
title = "A {Levin}-type algorithm for accelerating the
convergence of {Fourier} series",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "245--254",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "42A24 (42A20 65B10)",
MRnumber = "94f:42010",
MRreviewer = "Harald E. Krogstad",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Jones:1992:ASP,
author = "William B. Jones and Olav Nj{\aa}stad and Haakon
Waadeland",
title = "Asymptotics for {Szeg{\"o}} polynomial zeros",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "255--264",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "94A11 (42A05 42A70 65T99)",
MRnumber = "93m:94002",
MRreviewer = "A. Bultheel",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Law:1992:ERF,
author = "A. G. Law and C. N. Zhang and A. Rezazadeh and L.
J{\'o}dar",
title = "Evaluation of a rational function",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "265--272",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15",
MRnumber = "93h:65021",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
xxauthor = "A. G. Law and C. N. Zhang and A. Rezazadeh and L.
J{\"o}dar",
}
@Article{LeFerrand:1992:QCT,
author = "Herv{\'e} {Le Ferrand}",
title = "The quadratic convergence of the topological
$\epsilon$-algorithm for systems of nonlinear
equations",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "273--283",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65H10 (65B99)",
MRnumber = "94b:65073",
MRreviewer = "K. B{\"o}hmer",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290K (Nonlinear and functional equations); C4130
(Interpolation and function approximation); C4150
(Nonlinear and functional equations)",
conflocation = "Puerto de la Cruz, Spain; 13-17 Jan. 1992",
conftitle = "International Mathematical Congress on Extrapolation
and Rational Approximation",
corpsource = "Lab. d'Anal. Numerique et d'Optimisation, Univ. des
Sci. et Technol. de Lille, Villeneuve d'Ascq, France",
keywords = "convergence of numerical methods; extrapolation;
nonlinear equations; quadratic convergence; sufficient
condition; topological $\epsilon$-algorithm",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Marcellan:1992:QDO,
author = "Francisco Marcell{\'a}n and Gabriela Sansigre",
title = "Quadratic decomposition of orthogonal polynomials: a
matrix approach",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "285--298",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "42C05 (15A99)",
MRnumber = "94g:42036",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Maroni:1992:TDO,
author = "P. Maroni",
title = "Two-dimensional orthogonal polynomials, their
associated sets and the co-recursive sets",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "299--311",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "42C05 (33C50 39A10)",
MRnumber = "94e:42029",
MRreviewer = "R. C. S. Chandel",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Matos:1992:CAP,
author = "Ana C. Matos",
title = "Convergence and acceleration properties for the vector
$\epsilon$-algorithm",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "313--319",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B99",
MRnumber = "93h:65006",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
conflocation = "Puerto de la Cruz, Spain; 13-17 Jan. 1992",
conftitle = "International Mathematical Congress on Extrapolation
and Rational Approximation",
corpsource = "Fac. de Ciencias, Porto Univ., Portugal",
keywords = "acceleration; convergence of numerical methods;
convergence speed; exactness; extrapolation;
extrapolation algorithm; speed of convergence; vector
$\epsilon$-algorithm; vector sequences",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Murofushi:1992:ISE,
author = "Makoto Murofushi and Hideko Nagasaka",
title = "On the internal stepsize of an extrapolation algorithm
for {IVP} in {ODE}",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "321--334",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L06",
MRnumber = "1 199 379",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Osada:1992:EMS,
author = "Naoki Osada",
title = "Extrapolation methods for some singular fixed point
sequences",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "335--344",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B05 (65H05)",
MRnumber = "93h:65004",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Pinar:1992:HOP,
author = "Miguel A. Pi{\~n}ar and Teresa E. P{\'e}rez",
title = "On higher order {Pad{\'e}}-type approximants with some
prescribed coefficients in the numerator",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "345--352",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B99 (41A20 42C05 46E39 65D15)",
MRnumber = "93k:65005",
MRreviewer = "Pierre Hillion",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Zaglia:1992:PRA,
author = "M. Redivo Zaglia",
title = "Particular rules for the ${\Theta}$-algorithm",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "353--369",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B05 (65G05)",
MRnumber = "93h:65005",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Roberts:1992:CAV,
author = "D. E. Roberts",
title = "{Clifford} algebras and vector-valued rational forms.
{II}",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "371--381",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "30G35 (15A66)",
MRnumber = "94h:30059",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Ronning:1992:PFS,
author = "Frode R{\o}nning",
title = "{PC}-fractions and {Szeg{\"o}} polynomials associated
with starlike univalent functions",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "383--391",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "30B70 (30C55)",
MRnumber = "93k:30008",
MRreviewer = "W. J. Thron",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Ronveaux:1992:SIP,
author = "A. Ronveaux",
title = "{Sobolev} inner products and orthogonal polynomials of
{Sobolev} type",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "393--399",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "33C45 (41A10 42C05)",
MRnumber = "94b:33013",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Sablonniere:1992:ABI,
author = "Paul Sablonni{\`e}re",
title = "Asymptotic behaviour of iterated modified ${\Delta}^2$
and $\theta_2$ transforms on some slowly convergent
sequences",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "401--409",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B05",
MRnumber = "94f:65009",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Sakurai:1992:NFP,
author = "Tetsuya Sakurai and Hiroshi Sugiura and Tatsuo Torii",
title = "Numerical factorization of a polynomial by rational
{Hermite} interpolation",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "411--418",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (65H05)",
MRnumber = "93h:65015",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Szafraniec:1992:EBP,
author = "Franciszek Hugon Szafraniec",
title = "On extending backwards positive definite sequences",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "419--425",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "44A60",
MRnumber = "93m:44013",
MRreviewer = "Antonio J. Dur{\'a}n",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Tai:1992:GEP,
author = "Xue Cheng Tai",
title = "Global extrapolation with a parallel splitting
method",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "427--440",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65M60 (65B05)",
MRnumber = "93i:65095",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
conflocation = "Puerto de la Cruz, Spain; 13-17 Jan. 1992",
conftitle = "International Mathematical Congress on Extrapolation
and Rational Approximation",
corpsource = "Dept. of Math., Jyvaskyla Univ., Finland",
keywords = "convergence of numerical methods; convergence order;
extrapolation; global extrapolation; independent
one-dimensional problems; integration; multidimensional
problem; parallel algorithms; parallel splitting
method; space variables; third order extrapolation;
time convergence; time integration",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Thron:1992:LPS,
author = "W. J. Thron",
title = "Limit periodic {Schur} algorithms, the case
$\vert\gamma\vert=1,\sum d_n<\infty$",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "441--450",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "30B30 (30B70 40A25)",
MRnumber = "94a:30002",
MRreviewer = "E. P. Merkes",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{VanBarel:1992:GMT,
author = "M. {Van Barel} and A. Bultheel",
title = "A general module-theoretic framework for vector
{M}-Pad{\'e} and matrix rational interpolation",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "451--461",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A21 (41A20 65D05)",
MRnumber = "94a:41034",
MRreviewer = "D. S. Lubinsky",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{VanIseghem:1992:BCP,
author = "Jeannette {Van Iseghem}",
title = "Best choice of the pole for the {Pad{\'e}}-type
approximant of a {Stieltjes} function",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "463--475",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A21 (30E10 65D15)",
MRnumber = "94g:41030",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Weniger:1992:IBS,
author = "Ernst Joachim Weniger",
title = "Interpolation between sequence transformations",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "477--486",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B10 (40A05 40C99)",
MRnumber = "94d:65008",
MRreviewer = "Davis K. Cope",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Dedieu:1993:CRR,
author = "Jean-Pierre Dedieu and Jean-Claude Yakoubsohn",
title = "Computing the real roots of a polynomial by the
exclusion algorithm",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "1--2",
pages = "1--24",
month = jan,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65H05 (12Y05 26C10)",
MRnumber = "94b:65066",
MRreviewer = "Andrew Neff",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Stolovitch:1993:CVF,
author = "Laurent Stolovitch",
title = "On the computation of a versal family of matrices",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "1--2",
pages = "25--46",
month = jan,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "58C27 (15-04)",
MRnumber = "94g:58028",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C7310 (Mathematics)",
corpsource = "LMC-IMAG, Grenoble, France",
keywords = "holomorphic matrix-valued function; Jordan form;
matrix algebra; normal forms; one-parameter
deformation; symbol manipulation; versal deformations;
versal family of matrices",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Barb:1993:MRT,
author = "Florin Dan Barb and Martin Weiss",
title = "Model reduction techniques for sampled-data systems",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "1--2",
pages = "47--64",
month = jan,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "93B11 (93C57)",
MRnumber = "93k:93024",
MRreviewer = "Petko Petkov",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C1310 (Analysis and synthesis methods); C1340D
(Discrete systems)",
corpsource = "Fac. of Tech. Maths. and Inf., Tech. Univ. of Delft,
Netherlands",
keywords = "asymptotic expansions; balanced realization;
controllability; exact solutions; model reduction
techniques; observability; sampled data systems;
sampled-data systems; singular perturbational
approximations",
pubcountry = "Switzerland",
treatment = "P Practical",
}
@Article{Marletta:1993:ASR,
author = "Marco Marletta",
title = "Automatic solution of regular and singular vector
{Sturm--Liouville} problems",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "1--2",
pages = "65--99",
month = jan,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L15 (34-04 34B24 34L15)",
MRnumber = "94f:65074",
MRreviewer = "L. Greenberg",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{VanHuffel:1993:ETL,
author = "Sabine {Van Huffel} and Hong Yuan Zha",
title = "An efficient total least squares algorithm based on a
rank-revealing two-sided orthogonal decomposition",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "1--2",
pages = "101--133",
month = jan,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F30",
MRnumber = "93j:65063",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290H (Linear algebra); C4130 (Interpolation and
function approximation); C4140 (Linear algebra)",
corpsource = "Dept. of Electr. Eng., Katholieke Univ. Leuven,
Belgium",
keywords = "data matrix; least squares approximations; matrix
algebra; noise subspace; rank-revealing two-sided
orthogonal decomposition; singular value decomposition;
total least squares algorithm; unitary matrix",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Sonar:1993:DUS,
author = "Th. Sonar",
title = "On the design of an upwind scheme for compressible
flow on general triangulations",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "1--2",
pages = "135--149",
month = jan,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65M06 (65M60 76M25 76N10)",
MRnumber = "93k:65073",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Hansen:1993:FOD,
author = "Per Christian Hansen and Henrik Gesmar",
title = "Fast orthogonal decomposition of rank deficient
{Toeplitz} matrices",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "1--2",
pages = "151--166",
month = jan,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F25",
MRnumber = "94b:65053",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Danish Comput. Center for Res. and Educ., Tech. Univ.
of Denmark, Lyngby, Denmark",
keywords = "9mn-algorithm; fast orthogonal decomposition; matrix
algebra; rank deficient Toeplitz matrices",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Li:1993:HAS,
author = "Kuiyuan Li and Tien-Yien Li",
title = "A homotopy algorithm for a symmetric generalized
eigenproblem",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "1--2",
pages = "167--195",
month = jan,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F15",
MRnumber = "93j:65054",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Math. and Stat., Univ. of West Florida,
Pensacola, FL, USA",
keywords = "eigenpairs; eigenvalues and eigenfunctions; EISPACK
library; homotopy algorithm; homotopy continuation
approach; matrix algebra; orthogonality; parallel
version; performance; QZ algorithm; real symmetric
matrix pencil; symmetric generalized eigenproblem",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Niethammer:1993:NIS,
author = "Wilhelm Niethammer",
title = "A note on the implementation of the successive
overrelaxation method for linear complementarity
problems",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "1--2",
pages = "197--200",
month = jan,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65K05 (90C33)",
MRnumber = "93k:65056",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Xu:1993:CMA,
author = "Yuan Xu and W. A. Light and E. W. Cheney",
title = "Constructive methods of approximation by ridge
functions and radial functions",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "3",
pages = "205--223",
month = mar,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A63 (65D05)",
MRnumber = "94f:41037",
MRreviewer = "Gheorghe Coman",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Oregon Univ., Eugene, OR, USA",
keywords = "approximation; approximation theory; function
approximation; kernel function; necessary and
sufficient condition; radial functions; ridge
functions; unit sphere; univariant function",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Levrie:1993:NTF,
author = "Paul Levrie and Adhemar Bultheel",
title = "A note on {Thiele} $n$-fractions",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "3",
pages = "225--239",
month = mar,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A20 (41A21 65D05)",
MRnumber = "94g:41023",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);