%%% -*-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);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Comput., Katholieke Univ., Belgium",
keywords = "approximation theory; interpolation; rational
interpolation; Thiele continued fraction; vector case",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Diniz-Ehrhardt:1993:PPM,
author = "Maria A. Diniz-Ehrhardt and Jos{\'e} Mario
Mart{\'i}nez",
title = "A parallel projection method for overdetermined
nonlinear systems of equations",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "3",
pages = "241--262",
month = mar,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65H10",
MRnumber = "94c:65067",
MRreviewer = "W. Govaerts",
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); C4150 (Nonlinear and functional
equations)",
corpsource = "Dept. of Appl. Math., State Univ. of Campinas,
Brazil",
keywords = "convergence of numerical methods; global convergence;
least squares approximations; linear algebra; linear
systems; local convergence; nonlinear equations;
overdetermined nonlinear systems; parallel algorithms;
parallel projection method; weighted least square
distance",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Cong:1993:SDI,
author = "Nguyen Huu Cong",
title = "${A}$-stable diagonally implicit
{Runge--Kutta-Nystr{\"o}m} methods for parallel
computers",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "3",
pages = "263--281",
month = mar,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L06 (65Y05)",
MRnumber = "93m:65104",
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 = "Centre for Math. and Comput. Sci., Amsterdam,
Netherlands",
keywords = "iterative methods; parallel algorithms; Runge--Kutta
methods; diagonally implicit Runge--Kutta-Nystr{\"o}m
methods; parallel computers; diagonally implicit
iteration; corrector methods; A-stable; L-stable; DIRKN
methods",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
xxauthor = "Nguyen huu Cong",
}
@Article{Calvo:1993:CSS,
author = "M. Calvo and J. I. Montijano and L. R{\'a}ndez",
title = "On the change of step size in multistep codes",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "3",
pages = "283--304",
month = mar,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L05",
MRnumber = "93m:65085",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. de Matematica Aplicada, Zaragoza Univ., Spain",
keywords = "differential equations; EPISODE; local discretization
error; multistep codes; step size control",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Durand:1993:CCA,
author = "Sylvain Durand",
title = "Convergence of cascade algorithms introduced by {I}.
{Daubechies}",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "4",
pages = "307--322",
month = may,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (42C15)",
MRnumber = "94i:65019",
MRreviewer = "H. M. M{\"o}ller",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "CEREMADE, Univ. Paris-Dauphine, France",
keywords = "asymptotic expansion; cascade algorithms; convergence;
convergence of numerical methods; iteration procedure;
necessary and sufficient conditions; orthonormal
wavelets; Sobolev norms; wave equations",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Strom:1993:PP,
author = "Kyrre Str{\o}m",
title = "Products of ${B}$-patches",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "4",
pages = "323--337",
month = may,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A15 65D17)",
MRnumber = "94e:65021",
MRreviewer = "Peter Alfeld",
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 Inf., Oslo Univ., Norway",
keywords = "B- spline segments; B-patch form; multivariate
polynomials; polynomials; pyramidal recursive scheme;
recursive scheme; simplex splines; splines
(mathematics); tensor products",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Clavero:1993:UCF,
author = "Carmelo Clavero and Francisco Lisbona",
title = "Uniformly convergent finite difference methods for
singularly perturbed problems with turning points",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "4",
pages = "339--359",
month = may,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L10",
MRnumber = "94g:65079",
MRreviewer = "Beny Neta",
bibdate = "Wed Feb 7 07:37:21 MST 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. de Matematica Aplicada, Centro Politecnico
Superior, Zaragoza, Spain",
keywords = "convergence of numerical methods; exponential fitting
type methods; finite difference methods; irregular
meshes; perturbation techniques; Samarskii method;
singularly perturbed problems; turning points; uniform
convergence; upwind method",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
ZMnumber = "790.65074",
}
@Article{Jbilou:1993:GPA,
author = "Khalide Jbilou",
title = "A general projection algorithm for solving systems of
linear equations",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "4",
pages = "361--377",
month = may,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10",
MRnumber = "95a:65065",
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); B0290P (Differential
equations); C4130 (Interpolation and function
approximation); C4140 (Linear algebra)",
corpsource = "Lab. d'Anal. Numerique et d'Optimisation, Univ. des
Sci. et Technol. de Lille, Villeneuve d'Ascq, France",
keywords = "extrapolation; extrapolation methods; GCR; general
projection algorithm; linear algebra; linear equations;
MMPE; MPE; Orthodir; RRE; vectors",
pubcountry = "Switzerland",
treatment = "P Practical",
}
@Article{Joly:1993:CCG,
author = "Pascal Joly and G{\'e}rard Meurant",
title = "Complex conjugate gradient methods",
journal = j-NUMER-ALGORITHMS,
volume = "4",
number = "4",
pages = "379--406",
month = may,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10",
MRnumber = "94e:65042",
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 = "Lab. d'Anal. Numerique, Univ. Pierre et Marie Curie,
Paris, France",
keywords = "3D-problems; complex coefficients; conjugate gradient
method; conjugate gradient methods; continuous problem;
discretization; electromagnetic scattering problems;
finite difference; finite element methods; Helmholtz
equation; integral equations; iterative methods; large
sparse linear systems; matrix algebra; Maxwell
equations; mesh size; wave length",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{deBoor:1993:EBS,
author = "Carl {de Boor}",
title = "On the evaluation of box splines",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "5--23",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A15)",
MRnumber = "95a:65021",
MRreviewer = "Peter Alfeld",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Mason:1993:OSB,
author = "J. C. Mason and G. Rodriguez and S. Seatzu",
title = "Orthogonal splines based on ${B}$-splines---with
applications to least squares, smoothing and
regularisation problems",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "25--40",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A15)",
MRnumber = "1 258 584",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{MacCarthy:1993:SMI,
author = "B. L. MacCarthy and C. S. Syan and M.
Caulfield-Browne",
title = "Splines in motion --- An introduction to {MODUS} and
some unresolved approximation problems",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "41--49",
month = "????",
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Wed Feb 7 07:37:21 MST 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
ZMnumber = "792.65114",
}
@Article{Plonka:1993:EAP,
author = "Gerlind Plonka",
title = "An efficient algorithm for periodic {Hermite} spline
interpolation with shifted nodes",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "51--62",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A15)",
MRnumber = "94m:65025",
MRreviewer = "Yu Yu Feng",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Traversoni:1993:ANS,
author = "Leonardo Traversoni",
title = "An algorithm for natural spline interpolation",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "63--70",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A15)",
MRnumber = "1 258 586",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{vanDamme:1993:ADA,
author = "Ruud {van Damme}",
title = "An algorithm for determining the approximation orders
of multivariate periodic spline spaces",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "71--81",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A15)",
MRnumber = "1 258 587",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Barrodale:1993:SSS,
author = "I. Barrodale and R. Kuwahara and R. Poeckert and D.
Skea",
title = "Side-scan sonar image processing using thin plate
splines and control point matching",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "85--98",
month = "????",
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Wed Feb 07 07:52:49 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
ZMnumber = "793.68192",
}
@Article{Powell:1993:TLE,
author = "M. J. D. Powell",
title = "Truncated {Laurent} expansions for the fast evaluation
of thin plate splines",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "99--120",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A15)",
MRnumber = "95a:65025",
MRreviewer = "Ewald Quak",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Handscomb:1993:LRS,
author = "David Handscomb",
title = "Local recovery of a solenoidal vector field by an
extension of the thin-plate spline technique",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "121--129",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A05 41A15 76M25)",
MRnumber = "1 258 589",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Cox:1993:RDI,
author = "M. G. Cox",
title = "Reliable determination of interpolating polynomials",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "133--154",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (41A05)",
MRnumber = "95f:65026",
MRreviewer = "H. M. M{\"o}ller",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Berrut:1993:CFC,
author = "Jean-Paul Berrut",
title = "A closed formula for the {\v{C}}eby{\v{s}}ev
barycentric weights of optimal approximation in
${H}^2$",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "155--163",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (41A20)",
MRnumber = "1 258 591",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Daehlen:1993:IPI,
author = "Morten D{\ae}hlen and Michael Floater",
title = "Iterative polynomial interpolation and data
compression",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "165--177",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (41A05 94A29)",
MRnumber = "1 258 592",
bibdate = "Wed Feb 07 07:58:52 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
xxauthor = "Morten D{\"a}hlen and Michael Floater",
xxnote = "Check author name: D{\"a}hlen or Daehlen or Dohlen??",
ZMnumber = "788.65010",
}
@Article{Prestin:1993:LIE,
author = "J{\"u}rgen Prestin",
title = "{Lagrange} interpolation on extended generalized
{Jacobi} nodes",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "179--190",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A05",
MRnumber = "95e:41006",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Anderson:1993:TPS,
author = "I. J. Anderson and M. G. Cox and J. C. Mason",
title = "Tensor-product spline interpolation to data on or near
a family of lines",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "193--204",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A05)",
MRnumber = "1 258 594",
bibdate = "Wed Feb 7 07:37:21 MST 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
ZMnumber = "798.65015",
}
@Article{Lenarduzzi:1993:PSN,
author = "L. Lenarduzzi",
title = "Practical selection of neighbourhoods for local
regression in the bivariate case",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "205--213",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (41A15 62J02)",
MRnumber = "1 258 595",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Thiry:1993:ESB,
author = "S. Thiry",
title = "Extremal signatures for bivariate {Chebyshev}
approximation problems",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "215--225",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A63",
MRnumber = "95c:41062",
MRreviewer = "Dietrich Braess",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Dahmen:1993:DRS,
author = "Wolfgang Dahmen",
title = "Decomposition of refinable spaces and applications to
operator equations",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "229--245",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "47N40 (15A12 41A65 47A50 47G30 65J10 65N30)",
MRnumber = "95g:47100",
MRreviewer = "Rong Qing Jia",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Light:1993:TGA,
author = "W. A. Light",
title = "Techniques for generating approximations via
convolution kernels",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "247--261",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (41A35 41A63)",
MRnumber = "94j:65021",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Watson:1993:MAP,
author = "G. A. Watson",
title = "On matrix approximation problems with {Ky Fan} $k$
norms",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "263--272",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (15A60)",
MRnumber = "94i:65021",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Coope:1993:RFV,
author = "I. D. Coope and P. R. Graves-Morris",
title = "The rise and fall of the vector $\epsilon$-algorithm",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "275--286",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (41A21)",
MRnumber = "94h:65010",
bibdate = "Wed Feb 7 07:37:21 MST 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
ZMnumber = "798.65005",
}
@Article{Fischer:1993:ACL,
author = "Bernd Fischer and Jan Modersitzki",
title = "An algorithm for complex linear approximation based on
semi-infinite programming",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "287--297",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D17 (90C34)",
MRnumber = "1 258 601",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Istace:1993:CBC,
author = "M.-P. Istace and J.-P. Thiran",
title = "On computing best {Chebyshev} complex rational
approximants",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "299--308",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "30E10 (41A20 41A50 65D15)",
MRnumber = "1 258 602",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Jonasson:1993:PCG,
author = "Kristj{\'a}n J{\'o}nasson",
title = "A projected conjugate gradient method for sparse
minimax problems",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "309--323",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "90C30 (65K05)",
MRnumber = "1 258 603",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Williams:1993:NCF,
author = "Jack Williams and Z. Kalogiratou",
title = "Nonlinear {Chebyshev} fitting from the solution of
ordinary differential equations",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "325--337",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D10 (41A50 65L99)",
MRnumber = "94m:65029",
MRreviewer = "Ian Gladwell",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Bozzini:1993:ACS,
author = "M. T. Bozzini and C. Paracelli",
title = "An algorithm for constrained smoothing functions",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "341--351",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (41A05)",
MRnumber = "1 258 605",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Chan:1993:CMA,
author = "Raymond H. Chan and Ping Tak Peter Tang",
title = "Constrained minimax approximation and optimal
preconditioners for {Toeplitz} matrices",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "353--364",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10 (15A57)",
MRnumber = "1 258 606",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Elliott:1993:LSD,
author = "G. H. Elliott",
title = "Least squares data fitting using shape preserving
piecewise approximations",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "365--371",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (41A05)",
MRnumber = "1 258 607",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Micchelli:1993:OEL,
author = "Charles A. Micchelli",
title = "Optimal estimation of linear operators from inaccurate
data: a second look",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "375--390",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A25 (47N99 65D10)",
MRnumber = "95c:41036",
MRreviewer = "Avraham A. Melkman",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Rodriguez:1993:AMF,
author = "Giuseppe Rodriguez and Sebastiano Seatzu",
title = "Approximation methods for the finite moment problem",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "391--405",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65R20 (42C05 44A60)",
MRnumber = "94m:65204",
MRreviewer = "L. V. Idel\cprime s",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Bosworth:1993:SSA,
author = "Ken W. Bosworth and Upmanu Lall",
title = "An ${L}_1$ smoothing spline algorithm with cross
validation",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "407--417",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A15)",
MRnumber = "1 258 610",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{deFalco:1993:UAR,
author = "D. {de Falco} and K. M. Frontini and L. Gotusso",
title = "A unifying approach to the regularization of {Fourier}
polynomials",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "419--424",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65T20 (42A10)",
MRnumber = "95c:65229",
MRreviewer = "V. M. Krasnopol\cprime sky",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
xxauthor = "D. {de Falco} and M. Frontini and L. Gotusso",
}
@Article{Barone:1993:NEC,
author = "Claudio Barone and Ezio Venturino",
title = "On the numerical evaluation of {Cauchy} transforms",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "429--436",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D30 (65D05)",
MRnumber = "1 258 612",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Brutman:1993:AGA,
author = "L. Brutman",
title = "An application of the generalized alternating
polynomials to the numerical solution of {Fredholm}
integral equations",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "437--442",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65R20 (41A10)",
MRnumber = "1 258 613",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Dagnino:1993:ANI,
author = "C. Dagnino and V. Demichelis and E. Santi",
title = "An algorithm for numerical integration based on
quasi-interpolating splines",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "443--452",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D30 (65D32)",
MRnumber = "94k:65029",
MRreviewer = "V. P. Madan",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Tasche:1993:FAD,
author = "Manfred Tasche",
title = "Fast algorithms for discrete {Chebyshev--Vandermonde}
transforms and applications",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "453--464",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65T99 (65D15)",
MRnumber = "1 258 615",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Butler:1993:ACD,
author = "B. P. Butler and A. B. Forbes",
title = "An algorithm for combining data sets having different
frames of reference",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "467--477",
month = "????",
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Wed Feb 07 07:53:41 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
ZMnumber = "789.65005",
}
@Article{Ciarlini:1993:ASR,
author = "P. Ciarlini and F. Pavese",
title = "Application of special reduction procedures to
metrological data",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "479--489",
month = "????",
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Wed Feb 07 07:56:00 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "See erratum \cite{Ciarlini:1995:EAS}.",
acknowledgement = ack-nhfb,
ZMnumber = "789.65105",
}
@Article{Cox:1993:ARN,
author = "M. G. Cox and P. M. Harris and D. A. Humphreys",
title = "An algorithm for the removal of noise and jitter in
signals and its application to picosecond electrical
measurement",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "491--508",
month = "????",
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Wed Feb 07 07:57:06 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
ZMnumber = "789.65099",
}
@Article{Drieschner:1993:CAD,
author = "Rudolf Drieschner",
title = "{Chebyshev} approximation to data by geometric
elements",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "509--522",
month = "????",
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Wed Feb 07 07:59:40 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
ZMnumber = "799.65008",
}
@Article{Forbes:1993:GRP,
author = "A. B. Forbes",
title = "Generalized regression problems in metrology",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "523--533",
month = "????",
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Wed Feb 07 08:00:22 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
ZMnumber = "839.65155",
}
@Article{Helfrich:1993:TRM,
author = "H.-P. Helfrich and D. Zwick",
title = "A trust region method for implicit orthogonal distance
regression",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "535--545",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "62J02",
MRnumber = "1 258 616",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Galligani:1993:SIC,
author = "Emanuele Galligani",
title = "${C}^1$ surface interpolation with constraints",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "549--555",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (41A05 65K05)",
MRnumber = "1 258 617",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Hogervorst:1993:DPP,
author = "Bas J. Hogervorst and Ruud van Damme",
title = "Degenerate polynomial patches of degree $11$ for
almost ${GC}^2$ interpolation over triangles",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "557--568",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D17 (41A05)",
MRnumber = "1 258 618",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Pfluger:1993:DSP,
author = "P. R. Pfluger and M. Neamtu",
title = "On degenerate surface patches",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "569--575",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D17 (41A63)",
MRnumber = "1 258 619",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Rippa:1993:SDI,
author = "Shmuel Rippa",
title = "Scattered data interpolation using minimum energy
{Powell--Sabin} elements and data dependent
triangulations",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "577--587",
month = "????",
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Wed Feb 7 07:37:21 MST 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
ZMnumber = "789.65003",
}
@Article{Grosse:1993:AVS,
author = "Eric Grosse",
title = "Approximation in {VLSI} simulation",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "591--601",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A15",
MRnumber = "1 258 620",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Model:1993:IPM,
author = "R. Model and L. Trahms",
title = "An inverse problem of magnetic source localization",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "603--610",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D10",
MRnumber = "1 258 621",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Potchinkov:1993:GMV,
author = "A. Potchinkov and R. Reemtsen",
title = "A globally most violated cutting plane method for
complex minimax problems with application to digital
filter design",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "611--620",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (41A45 90C25 90C90)",
MRnumber = "1 258 622",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Sastry:1993:ACH,
author = "Venkat V. S. S. Sastry",
title = "Algorithms for the computation of {Hankel} functions
of complex order",
journal = j-NUMER-ALGORITHMS,
volume = "5",
number = "1--4",
pages = "621--628",
month = nov,
year = "1993",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (33C90)",
MRnumber = "1 258 623",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for approximation, {III} (Oxford, 1992)",
acknowledgement = ack-nhfb,
}
@Article{Hansen:1994:RTM,
author = "Per Christian Hansen",
title = "{REGULARIZATION TOOLS}: {A Matlab} package for
analysis and solution of discrete ill-posed problems",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "1--2",
pages = "1--35",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F30 (65F20)",
MRnumber = "94k:65062",
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 = "Danish Comput. Center for Res. and Educ., Tech. Univ.
Denmark, Lyngby, Denmark",
keywords = "discrete ill-posed problems; Fredholm integral
equations; linear algebra; linear equations;
mathematics computing; Matlab package; regularization;
REGULARIZATION TOOLS; software packages; stabilized
solution",
pubcountry = "Switzerland",
treatment = "B Bibliography; T Theoretical or Mathematical",
}
@Article{Huang:1994:SCG,
author = "Zhi Jian Huang",
title = "The semilocal convergence of a generalization of
{Brent}'s and {Brown}'s methods",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "1--2",
pages = "37--62",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65H10",
MRnumber = "95f:65107",
MRreviewer = "Boro D{\"o}ring",
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); B0290K
(Nonlinear and functional equations); C4110 (Error
analysis in numerical methods); C4150 (Nonlinear and
functional equations)",
corpsource = "Dept. of Stat. and Oper. Res., Fudan Univ., Shanghai,
China",
keywords = "approximate Newton method; Brent's method; Brown's
method; convergence of numerical methods; convergence
theory; error analysis; Martinet's generalized method;
nonlinear equations; semilocal convergence; semilocal
convergence theorem",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Yakoubsohn:1994:AZA,
author = "Jean-Claude Yakoubsohn",
title = "Approximating the zeros of analytic functions by the
exclusion algorithm",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "1--2",
pages = "63--88",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65H10",
MRnumber = "95g:65075",
MRreviewer = "He Liang Tan",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Chan:1994:CPT,
author = "Tony F. Chan and Julia A. Olkin",
title = "Circulant preconditioners for {Toeplitz-block}
matrices",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "1--2",
pages = "89--101",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F35 (65F10)",
MRnumber = "95f:65092",
MRreviewer = "J. Rokne",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Baxter:1994:NEI,
author = "B. J. C. Baxter and C. A. E. Micchelli",
title = "Norm estimates for the $l^2$-inverses of multivariate
{Toeplitz} matrices",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "1--2",
pages = "103--117",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F35 (47B35)",
MRnumber = "94k:65063",
MRreviewer = "E. Kreyszig",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Allouche:1994:WDD,
author = "H. Allouche and A. Cuyt",
title = "Well-defined determinant representations for nonnormal
multivariate rational interpolants",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "1--2",
pages = "119--135",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (41A05 41A63)",
MRnumber = "94k:65012",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Allouche:1994:SRM,
author = "H. Allouche and A. Cuyt",
title = "Singular rules for a multivariate quotient-difference
algorithm",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "1--2",
pages = "137--168",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05",
MRnumber = "95f:65024",
MRreviewer = "J. Kofro{\v{n}}",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Dedieu:1994:AOU,
author = "J.-P. Dedieu and Ch. Favardin",
title = "Algorithms for ordering unorganized points along
parametrized curves",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "1--2",
pages = "169--200",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D10 (65D15 65D17 65Y25)",
MRnumber = "95c:65017",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C4240 (Programming and algorithm theory); C4260
(Computational geometry)",
corpsource = "Lab. d'Anal. Numer., Univ. Paul Sabatier, Toulouse,
France",
keywords = "computational complexity; computational geometry;
curve reconstruction; curvilinear abscissa; data point
ordering; geometrical criteria; parametrization;
parametrized curves; space complexity; unorganized
points",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Elhay:1994:JMM,
author = "Sylvan Elhay and Jaroslav Kautsky",
title = "{Jacobi} matrices for measures modified by a rational
factor",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "3--4",
pages = "205--227",
month = mar,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D30",
MRnumber = "96b:65020",
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., Adelaide Univ., SA, Australia",
keywords = "factoring method; Jacobi matrices; matrix algebra;
minimal solution method; partial fraction
decomposition; performance characteristics;
polynomials; rational factor; summing technique",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Sidi:1994:CIR,
author = "Avram Sidi",
title = "Convergence of intermediate rows of minimal polynomial
and reduced rank extrapolation tables",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "3--4",
pages = "229--244",
month = mar,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B05 (41A21)",
MRnumber = "96a:65008",
MRreviewer = "Pierre Hillion",
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., Technion-Israel Inst. of
Technol., Haifa, Israel",
keywords = "convergence of intermediate rows; convergence of
numerical methods; extrapolation; general inner product
space; linear fixed point iterative technique; minimal
polynomial; polynomials; reduced rank extrapolation
tables; vector sequence",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Dodu:1994:IPA,
author = "J. C. Dodu and T. Eve and M. Minoux",
title = "Implementation of a proximal algorithm for linearly
constrained nonsmooth optimization problems and
computational results",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "3--4",
pages = "245--273",
month = mar,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "90C30 (49M40 49M40 90C25)",
MRnumber = "96b:90082",
MRreviewer = "Roxin Zhang",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques)",
keywords = "convex optimization; convex programming; linearly
constrained nonsmooth optimization problems;
optimisation; proximal algorithm",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Amitai:1994:ACA,
author = "Dganit Amitai and Amir Averbuch and Samuel Itzikowitz
and Eli Turkel",
title = "Asynchronous and corrected-asynchronous finite
difference solutions of {PDEs} on {MIMD}
multiprocessors",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "3--4",
pages = "275--296",
month = mar,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65Y05 (65-04)",
MRnumber = "1 323 809",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations); C5440 (Multiprocessor systems and
techniques); C7310 (Mathematics)",
corpsource = "Sch. of Math. Sci., Tel Aviv Univ., Israel",
keywords = "computation flexibility; concurrent processes; Euler
scheme; finite difference methods; finite difference
schemes; finite difference solutions; mathematics
computing; MIMD multiprocessors; multidimensional heat
equation; parallel machines; partial differential
equations; PDEs; shared-memory multiuser Sequent
Balance machine; synchronisation; synchronization
constraint",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Plonka:1994:OSP,
author = "Gerlind Plonka",
title = "Optimal shift parameters for periodic spline
interpolation",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "3--4",
pages = "297--316",
month = mar,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A15 65D05)",
MRnumber = "96a:65015",
MRreviewer = "Mao Dong Ye",
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 = "Fachbereich Math., Rostock Univ., Germany",
keywords = "exponential Euler spline; interpolation; optimal shift
parameters; periodic spline interpolation; shifted
interpolation nodes; splines (mathematics)",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Bellido:1994:CIF,
author = "Anne-Mercedes Bellido",
title = "Construction of iteration functions for the
simultaneous computation of the solutions of equations
and algebraic systems",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "3--4",
pages = "317--351",
month = mar,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65H10 (65F10)",
MRnumber = "96d:65082",
MRreviewer = "E. Kaucher",
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. d'Anal. Numerique, Univ. Paul Sabatier, Toulouse,
France",
keywords = "algebraic systems; interpolation; iteration functions;
local quadratic convergence; polynomials; simultaneous
computation; univariate interpolation; Weierstrass
function",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Ng:1994:FIM,
author = "Michael K. Ng and Raymond H. Chan",
title = "Fast iterative methods for least squares estimations",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "3--4",
pages = "353--378",
month = mar,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10 (65F20 93B30)",
MRnumber = "96a:65045",
MRreviewer = "Ching-Tsuan Pan",
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); B1270F (Digital filters);
B6140 (Signal processing and detection); C4130
(Interpolation and function approximation); C4140
(Linear algebra); C5240 (Digital filters)",
corpsource = "Dept. of Math., Hong Kong Univ., Hong Kong",
keywords = "conjugate gradient methods; digital filters; fast
iterative methods; finite impulse response; least
squares approximations; least squares estimations;
matrix algebra; preconditioned conjugate gradient
method; signal prediction; signal processing;
stochastic process; system identification; Toeplitz
matrix system",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Fiorot:1994:NCM,
author = "Jean-Charles Fiorot and Pierre Jeannin and Salim
Taleb",
title = "New control massic polygon of a ${B}$-rational curve
resulting from a homographic change of parameter",
journal = j-NUMER-ALGORITHMS,
volume = "6",
number = "3--4",
pages = "379--418",
month = mar,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D17 (53A04)",
MRnumber = "96d:65034",
MRreviewer = "S. Dubuc",
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); C4240 (Programming
and algorithm theory); C4260 (Computational geometry)",
corpsource = "Lab. LIMAV, Valenciennes Univ., France",
keywords = "affine parameter change; algorithm theory; B-rational
curve; Bezier curves; CAD/CAM; CAGD; CAM; computational
geometry; computer aided geometric design; control
massic polygon; homographic parameter change;
polynomials; PR-curves",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
%% Check ??: There is a serious discrepancy between the
%% Editor-in-Chief's Web pages for volume 18(3--4) and the MathSciNet
%% and Zentrallblatt databases, with many overlapping page numbers. I
%% suspect that the EiC's data is wrong for this issue, since the other
%% two agree.
@Article{Bank:1994:CSB,
author = "Randolph E. Bank and Tony F. Chan",
title = "A composite step bi-conjugate gradient algorithm for
nonsymmetric linear systems",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "1",
pages = "1--16",
month = jun,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10",
MRnumber = "95e:65025",
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);
C1340Z (Other control systems); C4130 (Interpolation
and function approximation)",
corpsource = "Dept. of Math., California Univ., San Diego, La Jolla,
CA, USA",
keywords = "associated Krylov subspaces; Composite Step BCG
algorithm; composite step bi-conjugate gradient
algorithm; conjugate gradient methods; Galerkin
condition; Lanczos process; linear systems; natural
generalization; nonsymmetric linear systems",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Chan:1994:CSC,
author = "Tony F. Chan and Tedd Szeto",
title = "A composite step conjugate gradients squared algorithm
for solving nonsymmetric linear systems",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "1",
pages = "17--32",
month = jun,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10",
MRnumber = "95e:65026",
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., California Univ., Los Angeles, CA,
USA",
keywords = "CGS method; composite step conjugate gradients squared
algorithm; conjugate gradient methods; convergence of
numerical methods; convergence rate; matrix algebra;
nonsymmetric linear systems; transpose matrix",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Brezinski:1994:TNB,
author = "C. Brezinski and M. Redivo Zaglia",
title = "Treatment of near-breakdown in the {CGS} algorithm",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "1",
pages = "33--73",
month = jun,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F05 (65F25)",
MRnumber = "95b:65039",
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 = "Lab. d'Anal. Numerique et d'Optimisation, Univ. des
Sci. et Tech. de Lille, Villeneuve d'Ascq, France",
keywords = "CGS algorithm; conjugate gradient methods; conjugate
gradient squared algorithm; convergence of numerical
methods; error analysis; Lanczos method; linear
equations; matrix algebra; near-breakdown; recurrence
relation; rounding errors; scalar products; stable
method; vectors",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Sleijpen:1994:OHB,
author = "G. L. G. Sleijpen and H. A. {van der Vorst} and D. R.
Fokkema",
title = "${\rm {BiCGstab}}(l)$ and other hybrid {Bi-CG}
methods",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "1",
pages = "75--109",
month = jun,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10",
MRnumber = "95d:65030",
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 = "Math. Inst., Utrecht Univ., Netherlands",
keywords = "Bi-CGSTAB; BiCGstab(l) method; CGS; conjugate gradient
methods; convergence behaviour; convergence of
numerical methods; hybrid Bi-CG methods; matrix
algebra; numerical examples; polynomial methods",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Kenney:1994:HTI,
author = "C. S. Kenney and A. J. Lamb",
title = "A hyperbolic tangent identity and the geometry of
{Pad{\'e}} sign function iterations",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "111--128",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15 (65C20 93B40)",
MRnumber = "1 283 092",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0250 (Combinatorial mathematics); B0290F
(Interpolation and function approximation); B0290H
(Linear algebra); C1160 (Combinatorial mathematics);
C4130 (Interpolation and function approximation); C4140
(Linear algebra)",
corpsource = "Dept. of Electr. and Comput. Eng., California Univ.,
Santa Barbara, CA, USA",
keywords = "approximation theory; Cayley transform; chaotic
iteration; completely regular iteration; convergence of
numerical methods; geometry; global convergence;
hyperbolic tangent identity; iterative methods; matrix
algebra; multiplicative linear congruential random
number generator; Pade iterations; Pade sign function
iterations; random number generation; rational
iterations; semi-group property",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
xxauthor = "C. S. Kenney and A. J. Laub",
}
@Article{Chesneaux:1994:ERS,
author = "Jean-Marie Chesneaux",
title = "The equality relations in scientific computing",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "129--143",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65G05",
MRnumber = "1 283 093",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C5230 (Digital arithmetic methods); C7310
(Mathematics)",
corpsource = "Lab. MASI, Univ. Pierre et Marie Curie, Paris,
France",
keywords = "arithmetic operators; digital arithmetic; equality
relations; floating point arithmetic; floating point
equality; Gaussian elimination; mathematics computing;
ordering relations; pivoting column; round-off errors;
roundoff errors; scientific computing; stochastic
equality; stochastic numbers; zero element",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Mitrouli:1994:CMA,
author = "M. Mitrouli and G. Kalogeropoulos",
title = "A compound matrix algorithm for the computation of the
{Smith} form of a polynomial matrix",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "145--159",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10 (15A21)",
MRnumber = "1 283 094",
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)",
corpsource = "Dept. of Math., Athens Univ., Greece",
keywords = "exact reduction; matrix algebra; numerical method;
p-compound matrices; polynomials; single-variable
polynomial matrix; Smith canonical form",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Walz:1994:AEC,
author = "Guido Walz",
title = "Asymptotic expansions for classical and generalized
divided differences including applications",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "161--171",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D10 (41A60)",
MRnumber = "1 283 095",
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);
C4160 (Numerical integration and differentiation)",
corpsource = "Fakultat fur Math. und Inf., Mannheim Univ., Germany",
keywords = "asymptotic expansions; differentiation; divided
differences; extrapolation; extrapolation methods;
function space; numerical differentiation; Polya space;
polynomial; polynomials",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Dubrulle:1994:MQI,
author = "Augustin A. Dubrulle and Gene H. Golub",
title = "A multishift {QR} iteration without computation of the
shifts",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "173--181",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10",
MRnumber = "1 283 096",
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 = "Hewlett-Packard Labs., Palo Alto, CA, USA",
keywords = "characteristic polynomial; convergence; convergence of
numerical methods; Hessenberg matrix; matrix algebra;
multishift QR iteration; polynomials; shift vector;
trailing principal submatrix",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Hanke:1994:TAI,
author = "Martin Hanke and James G. Nagy",
title = "{Toeplitz} approximate inverse preconditioner for
banded {Toeplitz} matrices",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "183--199",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10",
MRnumber = "1 283 097",
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)",
corpsource = "Inst. fur Praktische Math., Karlsruhe Univ., Germany",
keywords = "banded Hermitian positive definite Toeplitz matrix;
banded Toeplitz matrices; block Toeplitz matrices;
conjugate gradient methods; convergence; convergence of
numerical methods; eigenvalues; eigenvalues and
eigenfunctions; matrix algebra; nonbanded Toeplitz
matrices; nonHermitian Toeplitz matrices; numerical
experiments; preconditioned conjugate gradient method;
signal processing; Toeplitz approximate inverse
preconditioner; two dimensional applications",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Dunham:1994:UAM,
author = "Charles B. Dunham",
title = "Uniform approximation by {McCallig} rationals",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "201--204",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A20 (65D15)",
MRnumber = "95f:41026",
MRreviewer = "Maurice Mignotte",
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)",
corpsource = "Dept. of Comput. Sci., Univ. of Western Ontario,
London, Ont., Canada",
keywords = "characterization; density; discretization; function
approximation; Mc Callig rationals; normalization
condition; ordinary rational functions; uniform
approximation; uniqueness",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Wright:1994:MSS,
author = "R. Wright and J. Cash and G. Moore",
title = "Mesh selection for stiff two-point boundary value
problems",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "205--224",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L10",
MRnumber = "1 283 099",
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); C4180 (Integral
equations); C4185 (Finite element analysis)",
corpsource = "Dept. of Math., Imperial Coll. of Sci., Technol. and
Med., London, UK",
keywords = "boundary-value problems; collocation code; COLSYS;
error estimation; mesh generation; mesh selection
algorithm of; stiff two-point boundary value problems",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Salam:1994:NCE,
author = "A. Salam",
title = "Non-commutative extrapolation algorithms",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "225--251",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "15A15 (65B05 65D05)",
MRnumber = "95f:15004",
MRreviewer = "W. Govaerts",
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)",
corpsource = "Lab. d'Anal. Numerique et d'Optimisation, Univ. des
Sci. et Tech. de Lille Flandres Artois, Villeneuve
d'Ascq, France",
keywords = "algebra; Clifford algebras; designants; extrapolation;
linear extrapolation methods; noncommutative
extrapolation algorithms; noncommutative field;
noncommutative unitary ring; Wynn's vector
$\epsilon$-algorithm",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Sun:1994:CHI,
author = "Xingping Sun",
title = "Cardinal {Hermite} interpolation using positive
definite functions",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "253--268",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A05 (05D05)",
MRnumber = "96b:41009",
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)",
corpsource = "Dept. of Math., Southwest Missouri State Univ.,
Springfield, MO, USA",
keywords = "cardinal Hermite interpolation; interpolation;
multiquadrics; positive definite functions",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Keenan:1994:MMQ,
author = "Philip T. Keenan",
title = "Mixed methods on quadrilaterals and hexahedra",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "269--293",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65N30 (53A45)",
MRnumber = "95b:65136",
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); C4185 (Finite
element analysis)",
corpsource = "Dept. of Comput. and Appl. Math., Rice Univ., Houston,
TX, USA",
keywords = "differential geometry; divergence operator; finite
element analysis; global bilinear transformation;
hexahedra; hybrid formulation; mixed methods; nonlinear
transformations; partial differential equations;
quadrilaterals; rectangular grids; rectangular mesh;
topologically regular problems",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Ciarlet:1994:RRB,
author = "P. {Ciarlet, Jr.}",
title = "Repeated {Red-Black} ordering: a new approach",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "295--324",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65N30 (65F10)",
MRnumber = "95e:65097",
MRreviewer = "I. Norman Katz",
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 = "CEA, Centre d'Etudes de Limeil-Valenton, Villeneuve
St. Georges, France",
keywords = "condition number; conjugate gradient methods;
convergence; convergence of numerical methods;
Dirichlet boundary conditions; discontinuous
coefficients; finite element discretization; incomplete
factorization; iterative method; periodic boundary
conditions; Poisson equation; preconditioned conjugate
gradient method; repeated Red-Black ordering; symmetric
elliptic problems; symmetric positive definite linear
systems",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Olszanskyj:1994:RMM,
author = "Serge J. Olszanskyj and James M. Lebak and Adam W.
Boja{\'n}czyk",
title = "Rank-$k$ modification methods for recursive least
squares problems",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "325--354",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65K05 (90C20)",
MRnumber = "95b:65080",
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 = "Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA",
keywords = "corrected semi-normal equations; Gram-Schmidt
factorizations; ill-conditioned problems; least squares
approximations; LINPACK; minimisation; numerical
accuracy; numerical difficulties; rank-1 down dating
methods; rank-k modification methods; rank-k updating;
recursive least squares problems; serial execution
timing results",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Oara:1994:PDS,
author = "Cristian Oara",
title = "Proper deflating subspaces: properties, algorithms and
applications",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "355--373",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F30 (15A22 93B55)",
MRnumber = "95f:65089",
MRreviewer = "Vladimir B. Larin",
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)",
corpsource = "Dept. of Control Eng., Univ. Politehnica Bucharest,
Romania",
keywords = "arbitrary matrix pencil; generalized algebraic Riccati
equation; generalized Schur form; matrix algebra;
proper deflating subspaces; stabilizing solution",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Hemmingsson:1994:FMS,
author = "Lina Hemmingsson",
title = "A fast modified sine transform for solving
block-tridiagonal systems with {Toeplitz} blocks",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "375--389",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10",
MRnumber = "95f:65069",
MRreviewer = "Roland W. Freund",
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)",
corpsource = "Dept. of Sci. Comput., Uppsala Univ., Sweden",
keywords = "block-tridiagonal systems; fast modified sine
transform; Fourier transform; Fourier transforms;
matrix algebra; symmetry; Toeplitz blocks",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Merrien:1994:DHI,
author = "Jean-Louis Merrien",
title = "Dyadic {Hermite} interpolants on a triangulation",
journal = j-NUMER-ALGORITHMS,
volume = "7",
number = "2--4",
pages = "391--410",
month = jul,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A05 (41A63 65D05)",
MRnumber = "95c:41012",
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); C4260
(Computational geometry)",
corpsource = "Lab. LANS, Inst. National des Sciences Appliqu{\'e}es
(INSA), Rennes, France",
keywords = "computational geometry; dyadic Hermite interpolants;
matrices; polynomials; subdivision algorithm;
triangulation",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Turcajova:1994:FCL,
author = "Radka Turcajov{\'a}",
title = "Factorizations and construction of linear phase
paraunitary filter banks and higher multiplicity
wavelets",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "1",
pages = "1--25",
month = "????",
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "94A11 (65F99 94A12)",
MRnumber = "96a:94003",
MRreviewer = "Gilbert Walter",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290Z (Other numerical methods); B6140 (Signal
processing and detection); C1260 (Information theory);
C4190 (Other numerical methods)",
corpsource = "Sch. of Inf. Sci., Flinders Univ., Adelaide, SA,
Australia",
keywords = "filtering and prediction theory; free parameters;
linear factors; linear phase paraunitary filter banks;
multiplicity wavelets; orthogonal matrices; paraunitary
matrices; shift products; signal processing; symmetry
constraints; wavelet transforms",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Turcajova:1994:SPF,
author = "Radka Turcajov{\'a} and Jaroslav Kautsky",
title = "Shift products and factorizations of wavelet
matrices",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "1",
pages = "27--45",
month = "????",
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "94A11 (65F99 94A12)",
MRnumber = "96a:94004",
MRreviewer = "Gilbert Walter",
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); B0290Z (Other numerical
methods); B6140 (Signal processing and detection);
C1260 (Information theory); C4140 (Linear algebra);
C4190 (Other numerical methods)",
corpsource = "Sch. of Inf. Sci., Flinders Univ., Adelaide, SA,
Australia",
keywords = "arbitrary wavelet matrix; decompositions; discrete
orthogonal wavelet transforms; factorizations;
filtering and prediction theory; matrix algebra;
orthogonal banded block circulant matrices;
parameterization; paraunitary multirate filter banks;
Pollen product; shift products; signal processing;
wavelet matrices; wavelet transforms; zero columns",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Homeier:1994:HCI,
author = "Herbert H. H. Homeier",
title = "A hierarchically consistent, iterative sequence
transformation",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "1",
pages = "47--81",
month = "????",
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B10 (40A05 65B05)",
MRnumber = "95i:65014",
MRreviewer = "John H. McCabe",
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. fur Phys. und Theor. Chem., Regensburg Univ.,
Germany",
keywords = "convergence of numerical methods; E algorithm;
extrapolation; hierarchically consistent iterative
sequence transformation; iterative methods; nonlinear
sequence transformation",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Espelid:1994:DAAa,
author = "T. O. Espelid and K. J. Overholt",
title = "{DQAINF}: an algorithm for automatic integration of
infinite oscillating tails",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "1",
pages = "83--101",
month = "????",
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65-04 (65D30)",
MRnumber = "1 299 076",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation); C7310
(Mathematics)",
corpsource = "Dept. of Inf., Bergen Univ., Norway",
keywords = "adaptive subdivision strategy; automatic integration;
automatic quadrature routine; DQAINF; Euler
transformation; extrapolation; FORTRAN; FORTRAN
implementation; infinite oscillating tails; mathematics
computing; periodic function; real functions; vector
function",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Muhlbach:1994:MPI,
author = "G. M{\"u}hlbach and M. Gasca",
title = "Multivariate polynomial interpolation under
projectivities. {III}. {Remainder} formulas",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "1",
pages = "103--109",
month = "????",
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (41A05)",
MRnumber = "95i:65025",
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,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Hannover Univ., Germany",
keywords = "interpolation; knot sets; multivariate polynomial
interpolation; polynomials; projectivities; remainder
formulas; standard lower data sets",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Sun:1994:FEM,
author = "Guang Fu Sun and Martin Stynes",
title = "Finite element methods on piecewise equidistant meshes
for interior turning point problems",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "1",
pages = "111--129",
month = "????",
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L60 (65L10)",
MRnumber = "95f:65156",
MRreviewer = "D. F. Mayers",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); B0290T (Finite
element analysis); C4170 (Differential equations);
C4185 (Finite element analysis)",
corpsource = "Dept. of Math., Univ. Coll. Cork, Ireland",
keywords = "boundary-value problems; finite element analysis;
finite element methods; Galerkin finite element
methods; interior turning point problems; piecewise
equidistant meshes; two-point boundary value problems;
weighted energy norm",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Sun:1994:FTC,
author = "Xingping Sun",
title = "The fundamentality of translates of a continuous
function on spheres",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "1",
pages = "131--134",
month = "????",
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A05",
MRnumber = "96a:41005",
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); C4190 (Other
numerical methods); C4260 (Computational geometry)",
corpsource = "Dept. of Math., Southwest Missouri State Univ.,
Springfield, MO, USA",
keywords = "computational geometry; continuous function on
spheres; Euclidean spaces; translates",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Watson:1994:LBA,
author = "G. A. Watson",
title = "Linear best approximation using a class of $k$-major
$l_p$ norms",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "1",
pages = "135--146",
month = "????",
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A45 (41A65 65D15)",
MRnumber = "95j:41038",
MRreviewer = "Yong Ping Liu",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); B0290F
(Interpolation and function approximation); C1180
(Optimisation techniques); C4130 (Interpolation and
function approximation)",
corpsource = "Dept. of Math. and Comput. Sci., Dundee Univ., UK",
keywords = "$k$-major $l_p$ norms; approximation theory; descent
algorithm; linear best approximation; minimisation;
minimization; piecewise smooth function",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Arge:1994:ASD,
author = "Erlend Arge and Michael Floater",
title = "Approximating scattered data with discontinuities",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "2--4",
pages = "149--166",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D10",
MRnumber = "95j:65010",
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,
}
@Article{Bialecki:1994:CRF,
author = "Bernard Bialecki",
title = "Cyclic reduction and {FACR} methods for piecewise
{Hermite} bicubic orthogonal spline collocation",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "2--4",
pages = "167--184",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65N35 (65F99)",
MRnumber = "1 309 219",
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);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Kentucky Univ., Lexington, KY, USA",
keywords = "boundary value problems; boundary-value problems;
cyclic reduction; FACR; Fourier analysis-cyclic
reduction; linear systems; orthogonal spline
collocation; partial differential equations; piecewise
Hermite bicubic; splines (mathematics)",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Zaslavsky:1994:NSP,
author = "Boris G. Zaslavsky and Alexander Moskvin",
title = "Numerical solution of positive control problem via
linear programming",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "2--4",
pages = "185--199",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "49M35 (65K10)",
MRnumber = "95i:49055",
MRreviewer = "John Gregory",
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); C1330 (Optimal
control); C4130 (Interpolation and function
approximation)",
corpsource = "Agrophys. Res. Inst., St. Petersburg, Russia",
keywords = "discrete-time control systems; iteration; iterative
methods; iterative procedure; linear programming;
positive control problem; reachability; reachability
analysis; structural stability; time optimal control;
time-invariant; time-optimal control",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Espelid:1994:DAAb,
author = "Terje O. Espelid and Alan Genz",
title = "{DECUHR}: an algorithm for automatic integration of
singular functions over a hyperrectangular region",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "2--4",
pages = "201--220",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65-04 (65D30)",
MRnumber = "1 309 221",
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);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "Dept. of Inf., Bergen Univ., Norway",
keywords = "adaptive subdivision; automatic cubature algorithm;
automatic integration; cubature; DECUHR; extrapolation;
hyperrectangular region; integration; numerical
stability; singular functions; stability; vector
function",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Censor:1994:MAU,
author = "Yair Censor and Tommy Elfving",
title = "A multiprojection algorithm using {Bregman}
projections in a product space",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "2--4",
pages = "221--239",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "90C25 (90C30)",
MRnumber = "95h:90093",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0250 (Combinatorial mathematics); B0260
(Optimisation techniques); C1160 (Combinatorial
mathematics); C1180 (Optimisation techniques); C4240
(Programming and algorithm theory)",
corpsource = "Dept. of Math. and Comput. Sci., Haifa Univ., Israel",
keywords = "algorithm theory; Bregman projections; constraint
handling; converges; convex sets; iterative step;
linearly constrained optimization; multiprojection
algorithm; optimisation; Pierra's product space;
product space; set theory",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Golub:1994:EQF,
author = "Gene H. Golub and Zden{\v{e}}k Strako{\v{s}}",
title = "Estimates in quadratic formulas",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "2--4",
pages = "241--268",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F30",
MRnumber = "95j:65040",
MRreviewer = "W. Govaerts",
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); B0290M (Numerical integration and
differentiation); C4110 (Error analysis in numerical
methods); C4140 (Linear algebra); C4160 (Numerical
integration and differentiation)",
corpsource = "Dept. of Comput. Sci., Stanford Univ., CA, USA",
keywords = "conjugate gradient process; eigenvalues and
eigenfunctions; error analysis; estimates; integration;
linear algebra; linear systems; matrix inverse; matrix
inversion; quadratic formulas; quadrature formulas;
real symmetric positive definite matrix; rounding
errors",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Li:1994:AGS,
author = "Kuiyuan Li and Tien-Yien Li and Zhong Gang Zeng",
title = "An algorithm for the generalized symmetric tridiagonal
eigenvalue problem",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "2--4",
pages = "269--291",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F15 (15A18)",
MRnumber = "95m:65063",
MRreviewer = "J. Segethov{\'a}",
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);
C4240P (Parallel programming and algorithm theory);
C6110P (Parallel programming)",
corpsource = "Dept. of Math. and Stat., Univ. of West Florida,
Pensacola, FL, USA",
keywords = "determinant evaluation; eigenvalue problem;
eigenvalues and eigenfunctions; Laguerre's iteration;
matrix pencil; multi-processor; parallel algorithm;
parallel algorithms; partial spectrum; split-and-merge
strategy; symmetric tridiagonal eigenvalue problem",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{vanderHouwen:1994:PAS,
author = "P. J. {van der Houwen} and B. P. Sommeijer and W. A.
{van der Veen}",
title = "Parallelism across the steps in iterated
{Runge--Kutta} methods for stiff initial value
problems",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "2--4",
pages = "293--312",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L05 (65Y05)",
MRnumber = "95j:65072",
MRreviewer = "Philip W. Sharp",
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);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations); C4240P (Parallel programming and algorithm
theory)",
corpsource = "CWI, Amsterdam, Netherlands",
keywords = "initial value problems; iterated Runge--Kutta methods;
iterative methods; parallel algorithms; parallel
integration; Radau IIA corrector; robust; Runge--Kutta
methods; step-parallel iteration; stiff initial value
problems",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Tokarzewski:1994:TPP,
author = "Stanis{\l}aw Tokarzewski and Jerzy B{\l}awzdziewicz
and Igor Andrianov",
title = "Two-point {Pad{\'e}} approximants for formal
{Stieltjes} series",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "2--4",
pages = "313--328",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A21 (65D15 73K20 73V20)",
MRnumber = "96g:41017",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Chan:1994:ASD,
author = "Tony F. Chan and Jun Zou",
title = "Additive {Schwarz} domain decomposition methods for
elliptic problems on unstructured meshes",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "2--4",
pages = "329--346",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65N55 (65N30)",
MRnumber = "95i:65174",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "See erratum \cite{Chan:1995:EAS}.",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); B0290T (Finite
element analysis); C4170 (Differential equations);
C4185 (Finite element analysis)",
corpsource = "Dept. of Math., California Univ., Los Angeles, CA,
USA",
keywords = "additive Schwarz domain decomposition methods;
convergence of numerical methods; elliptic equations;
elliptic problems; finite element problems; global
coarse mesh; mesh generation; optimal convergence;
Schwarz domain decomposition methods; structured
meshes; unstructured meshes",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Lee:1994:FPS,
author = "Daeshik Lee",
title = "Fast parallel solution of the {Poisson} equation on
irregular domains",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "2--4",
pages = "347--362",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65N55 (65Y05)",
MRnumber = "1 309 228",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations); C4240P (Parallel programming and algorithm
theory)",
corpsource = "Dept. of Inf. Eng., Hallym Univ., Chunchon, South
Korea",
keywords = "boundary-value problems; elliptic equations; embedding
method; fast parallel solution; harmonic polynomial
approximation; irregular domains; parallel algorithms;
parallel method; Poisson equation; rapid elliptic
solver",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Xue:1995:OPS,
author = "Guo Liang Xue",
title = "On an open problem in spherical facility location",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "1--2",
pages = "1--12",
month = may,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "90B80 (90C30)",
MRnumber = "96c:90046",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for constrained approximation and
optimization (Stowe, {VT}, 1993)",
acknowledgement = ack-nhfb,
classification = "C1290 (Applications of systems theory); C4190 (Other
numerical methods); C4260 (Computational geometry)",
conflocation = "Stowe, VT, USA; 23-26 May 1993",
conftitle = "Workshop on Algorithms for Constrained Approximation
and Optimization",
corpsource = "Dept. of Comput. Sci. and Electr. Eng., Vermont Univ.,
Burlington, VT, USA",
keywords = "computational geometry; convergence; convergence of
numerical methods; descent algorithm; open problem;
operations research; planar Euclidean facility location
problem; spherical facility location",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Rogers:1995:PTM,
author = "Jack W. {Rogers, Jr.}",
title = "Potential transformation methods for large-scale
constrained global optimization",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "1--2",
pages = "13--24",
month = may,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "90C30 (34A09 65K05 70F99)",
MRnumber = "96d:90093",
MRreviewer = "G. M. Ostrovsky",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for constrained approximation and
optimization (Stowe, {VT}, 1993)",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques); C1200 (Systems theory and cybernetics)",
conflocation = "Stowe, VT, USA; 23-26 May 1993",
conftitle = "Workshop on Algorithms for Constrained Approximation
and Optimization",
corpsource = "Div. of Math., Auburn Univ., AL, USA",
keywords = "constrained global optimization; constraint handling;
constraint theory; global optimization; large-scale;
low potential; optimisation; trajectories;
transformation methods",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Kaufman:1995:OBA,
author = "E. H. {Kaufman, Jr.} and D. J. Leeming and G. D.
Taylor",
title = "An {ODE}-based approach to nonlinearly constrained
minimax problems",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "1--2",
pages = "25--37",
month = may,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "90C30 (49J35 65K05)",
MRnumber = "96d:90089",
bibdate = "Tue Apr 29 08:56:05 MDT 1997",
note = "Algorithms for constrained approximation and
optimization (Stowe, {VT}, 1993)",
acknowledgement = ack-nhfb,
classification = "C1180 (Optimisation techniques); C4170 (Differential
equations)",
conflocation = "Stowe, VT, USA; 23-26 May 1993",
conftitle = "Workshop on Algorithms for Constrained Approximation
and Optimization",
corpsource = "Dept. of Math., Central Michigan Univ., Mount
Pleasant, MI, USA",
keywords = "constraint handling; differential equations; line
search; minimax techniques; nonlinear system;
nonlinearly constrained minimax problems; ODE-based;
ordinary differential equations; search direction",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Mason:1995:CNM,
author = "J. C. Mason and G. H. Elliott",
title = "Constrained near-minimax approximation by weighted
expansion and interpolation using {Chebyshev}
polynomials of the second, third, and fourth kinds",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "1--2",
pages = "39--54",
month = may,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15",
MRnumber = "96c:65019",
MRreviewer = "Petru P. Blaga",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for constrained approximation and
optimization (Stowe, {VT}, 1993)",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); B0290F
(Interpolation and function approximation); C1180
(Optimisation techniques); C4130 (Interpolation and
function approximation)",
conflocation = "Stowe, VT, USA; 23-26 May 1993",
conftitle = "Workshop on Algorithms for Constrained Approximation
and Optimization",
corpsource = "Sch. of Comput. and Math., Univ. of Huddersfield, UK",
keywords = "Chebyshev approximation; Chebyshev polynomials;
constraint theory; expansion; interpolation; minimax
approximation; minimax techniques; polynomials",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Healy:1995:RMA,
author = "D. Healy and T. Olsen and J. Weaver",
title = "Reduced motion artifacts in medical imaging by
adaptive spatio-temporal reconstruction",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "1--2",
pages = "55--84",
month = may,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "A8745H (Haemodynamics, pneumodynamics); A8760I
(Medical magnetic resonance imaging and spectroscopy);
A8770E (Patient diagnostic methods and
instrumentation); B7510B (Radiation and radioactivity
applications in biomedicine); C5260B (Computer vision
and image processing techniques); C7330 (Biology and
medical computing)",
conflocation = "Stowe, VT, USA; 23-26 May 1993",
conftitle = "Workshop on Algorithms for Constrained Approximation
and Optimization",
corpsource = "Dept. of Math., Dartmouth Coll., Hanover, NH, USA",
keywords = "adaptive spatio-temporal reconstruction;
angiocardiography; angiography; biomedical NMR; blood
flow; brain; coarse features reconstruction;
computerised tomography; data acquisition;
haemodynamics; heart imaging; lungs; medical imaging;
motion imaging; MRI studies; oxygen usage; reduced
motion artifacts; spatial-frequency data; X-ray CT",
pubcountry = "Switzerland",
treatment = "A Application; P Practical",
xxauthor = "D. Healy and T. Olson and J. Weaver",
}
@Article{Bosworth:1995:LLW,
author = "Ken W. Bosworth and Upmanu Lall",
title = "{LOWLAD}: a locally weighted ${L}_1$ smoothing spline
algorithm with cross validated choice of smoothing
parameters",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "1--2",
pages = "85--106",
month = may,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07",
MRnumber = "96b:65010",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for constrained approximation and
optimization (Stowe, {VT}, 1993)",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
conflocation = "Stowe, VT, USA; 23-26 May 1993",
conftitle = "Workshop on Algorithms for Constrained Approximation
and Optimization",
corpsource = "Dept. of Math., Idaho State Univ., Pocatello, ID,
USA",
keywords = "algorithmic scheme; cross validated choice; least
absolute deviations; locally weighted $L_1$ smoothing
spline algorithm; locally windowed robust smoother;
LOWLAD; nonparametric estimator; smoothing parameters;
splines (mathematics)",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Gifford:1995:BAC,
author = "David Gifford and Robert Huotari",
title = "Best ${L}_1$ approximation by convex functions",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "1--2",
pages = "107--111",
month = may,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A29 (41A50)",
MRnumber = "96c:41035",
MRreviewer = "Zong Min Wu",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for constrained approximation and
optimization (Stowe, {VT}, 1993)",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
conflocation = "Stowe, VT, USA; 23-26 May 1993",
conftitle = "Workshop on Algorithms for Constrained Approximation
and Optimization",
corpsource = "Math. Dept., San Joaquin Delta College, Stockton, CA,
USA",
keywords = "approximation theory; best $L_1$ approximation; convex
functions; splines (mathematics)",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Levin:1995:CPI,
author = "David Levin and Edmond Nadler",
title = "Convexity preserving interpolation by algebraic curves
and surfaces",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "1--2",
pages = "113--139",
month = may,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D17 (53A05 65Y25)",
MRnumber = "96c:65026",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for constrained approximation and
optimization (Stowe, {VT}, 1993)",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C1160 (Combinatorial mathematics); C4130 (Interpolation
and function approximation); C4260 (Computational
geometry)",
conflocation = "Stowe, VT, USA; 23-26 May 1993",
conftitle = "Workshop on Algorithms for Constrained Approximation
and Optimization",
corpsource = "Sch. of Math. Sci., Tel Aviv Univ., Israel",
keywords = "algebraic curves; computational geometry; conic
sections; convex curve; convex polygon; convexity
preserving interpolation; general Hermite-type problem;
interpolation; l-parameter family; strictly convex data
sets; surfaces; vertices",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Zhao:1995:BIS,
author = "Kang Zhao",
title = "Best interpolation in seminorm with convex
constraints",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "1--2",
pages = "141--156",
month = may,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A65 (41A29 65D17)",
MRnumber = "96d:41038",
MRreviewer = "Abdallah M. Al-Rashed",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for constrained approximation and
optimization (Stowe, {VT}, 1993)",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
conflocation = "Stowe, VT, USA; 23-26 May 1993",
conftitle = "Workshop on Algorithms for Constrained Approximation
and Optimization",
corpsource = "Dept. of Math., Wisconsin Univ., Madison, WI, USA",
keywords = "best interpolation; closed linear map; constrained
best interpolation; constraint handling; convex
constraints; explicit characterizations; Hilbert space;
implicit characterizations; interpolation; projection;
saddle function; saddle points; seminorm; unconstrained
minimization problem; variational problem",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Wright:1995:SFD,
author = "R. K. Wright",
title = "Spline fitting discontinuous functions given just a
few {Fourier} coefficients",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "1--2",
pages = "157--169",
month = may,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07",
MRnumber = "96a:65020",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for constrained approximation and
optimization (Stowe, {VT}, 1993)",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
conflocation = "Stowe, VT, USA; 23-26 May 1993",
conftitle = "Workshop on Algorithms for Constrained Approximation
and Optimization",
corpsource = "Dept. of Math. and Stat., Vermont Univ., Burlington,
VT, USA",
keywords = "approximation technique; direct $L_2$ approximation;
discontinuities; Fourier coefficients; Fourier series;
jump discontinuities; orthogonal projection; periodic
functions; polynomial splines; polynomials; spline
fitting discontinuous functions; spline space; splines
(mathematics); trigonometric polynomials",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Helfrich:1995:TRA,
author = "H.-P. Helfrich and D. Zwick",
title = "Trust region algorithms for the nonlinear least
distance problem",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "1--2",
pages = "171--179",
month = may,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "90C30 (65K05)",
MRnumber = "97c:90107",
MRreviewer = "Hans Melissen",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Algorithms for constrained approximation and
optimization (Stowe, {VT}, 1993)",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C1180
(Optimisation techniques); C4260 (Computational
geometry)",
conflocation = "Stowe, VT, USA; 23-26 May 1993",
conftitle = "Workshop on Algorithms for Constrained Approximation
and Optimization",
corpsource = "Math. Seminar der Landwirtschaftlichen Fac., Bonn
Univ., Germany",
keywords = "computational geometry; equality constrained
optimization; fixed data point; global convergence;
merit function; nonlinear least distance problem;
objective function; optimisation; trust region
algorithms",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Li:1995:SIM,
author = "Zi Cai Li",
title = "Splitting-integrating method for inverse
transformation of $n$-dimensional digital images and
patterns",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "181--198",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65R10",
MRnumber = "96c:65205",
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); B0290F
(Interpolation and function approximation); B6140C
(Optical information, image and video signal
processing); C1250 (Pattern recognition); C4110 (Error
analysis in numerical methods); C4130 (Interpolation
and function approximation); C5260B (Computer vision
and image processing techniques)",
corpsource = "Dept. of Appl. Math., Nat. Sun Yat-Sen Univ.,
Kaohsiung, Taiwan",
keywords = "$n$-dimensional digital images; approximate greyness
solutions; binary images; digital patterns; error
analysis; image greyness; image processing;
interpolation; interpolations; inverse transformation;
numerical analysis error bounds; pattern recognition;
splitting-integrating method",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Gautschi:1995:WPR,
author = "Walter Gautschi",
title = "The work of {Philip Rabinowitz} on numerical
integration",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "199--222",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65-03 (01A60 01A70 65D30)",
MRnumber = "96e:65002",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Yakoubsohn:1995:UCC,
author = "Jean-Claude Yakoubsohn",
title = "A universal constant for the convergence of {Newton}'s
method and an application to the classical homotopy
method",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "223--244",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65H20 (65H10)",
MRnumber = "96d:65092",
MRreviewer = "W. C. Rheinboldt",
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. d'Approximation et d'Optimisation, Univ. Paul
Sabatier, Toulouse, France",
keywords = "approximate zero; approximation theory; classical
homotopy method; convergence of Newton's method;
localization; Newton method; universal constant",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Steidl:1995:MAF,
author = "Gabriele Steidl",
title = "On multivariate attenuation factors",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "245--261",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65T20 (65D15)",
MRnumber = "96a:65187",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Willemans:1995:NSF,
author = "Karin Willemans and Paul Dierckx",
title = "Nonnegative surface fitting with {Powell--Sabin}
splines",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "263--276",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D17 (41A15)",
MRnumber = "96e:65015",
MRreviewer = "H. P. Dikshit",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Chui:1995:BIR,
author = "C. K. Chui and T. X. He",
title = "Bivariate interpolatory rational splines",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "277--291",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A15 41A20)",
MRnumber = "96d:65022",
MRreviewer = "Dietrich Braess",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Prestin:1995:TIW,
author = "J. Prestin and E. Quak",
title = "Trigonometric interpolation and wavelet
decompositions",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "293--317",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (42C15 65D15)",
MRnumber = "96c:65013",
MRreviewer = "A. D. Booth",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Lee:1995:TNO,
author = "David Lee and Henryk Wo{\'z}niakowski",
title = "Testing nonlinear operators",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "319--342",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65J05 (47N40 65Y20)",
MRnumber = "96f:65067",
MRreviewer = "Stefan Heinrich",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Campos:1995:QFH,
author = "R. G. Campos",
title = "A quadrature formula for the {Hankel} transform",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "343--354",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A55 (42C05 65R10)",
MRnumber = "96e:41033",
MRreviewer = "V. I. Polovinkin",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Krajewski:1995:PSR,
author = "W. Krajewski and A. Lepschy and M. Redivo Zaglia and
U. Viaro",
title = "A program for solving the ${L}_2$ reduced-order model
problem with fixed denominator degree",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "355--377",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "93B40 (41A20 65F15 93B30)",
MRnumber = "96c:93059",
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);
C1220 (Simulation, modelling and identification); C1310
(Control system analysis and synthesis methods); C4130
(Interpolation and function approximation)",
corpsource = "Syst. Res. Inst., Polish Acad. of Sci., Warsaw,
Poland",
keywords = "$L_2$ reduced-order model problem; approximation
theory; fixed denominator degree; iterative numerical
algorithm; necessary conditions; optimal rational
transfer matrix; reduced order systems; standard MATLAB
functions",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Gonzalez-Concepcion:1995:AIT,
author = "C. Gonz{\'a}lez-Concepci{\'o}n and V. Cano
Fern{\'a}ndez and C. Gil Fari{\~n}a",
title = "The $\epsilon$-algorithm for the identification of a
transfer-function model: some applications",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "379--395",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "93E12 (62M10 65D15)",
MRnumber = "96c:93148",
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);
C1220 (Simulation, modelling and identification); C1310
(Control system analysis and synthesis methods); C4130
(Interpolation and function approximation)",
corpsource = "Dept. of Appl. Econ., Univ. de La Laguna, Tenerife,
Spain",
keywords = "$\epsilon$-algorithm; approximation theory; ARMA
models; autoregressive moving average processes; lag
structure; numerical analysis; polynomial orders;
rational approximation; sales series M; simulated
model; transfer functions; transfer-function model
identification",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
xxauthor = "C. {Gonzalez Concepcion} and V. {Cano Fernandez} and
C. {Gil Farina}",
}
@Article{Chan:1995:EAS,
author = "Tony F. Chan and Jun Zou",
title = "Erratum to: {``Additive Schwarz domain decomposition
methods for elliptic problems on unstructured meshes''
[Numer. Algorithms {\bf 8} (1994), no. 2--4, 329--346,
MR 95i:65174]}",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "397--397",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65N30 (65N55)",
MRnumber = "1 339 729",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "See \cite{Chan:1994:ASD}.",
acknowledgement = ack-nhfb,
}
@Article{Anonymous:1995:BR,
author = "Anonymous",
title = "Book reviews",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "399--406",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Baszenski:1995:CAB,
author = "G{\"u}nter Baszenski and Franz-J{\"u}rgen Delvos",
title = "Computational aspects of {Boolean} cubature",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "1--2",
pages = "1--11",
month = jul,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D32",
MRnumber = "96h:65038",
MRreviewer = "M. I. Israilov",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Special functions (Torino, 1993)",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation); C4210
(Formal logic)",
conflocation = "Torino, Italy; 14-15 Oct. 1993",
conftitle = "International Joint Symposium on Special Functions and
Artificial Intelligence",
corpsource = "FB Nachrichtentech., Fachhochschule Dortmund,
Germany",
keywords = "Boolean cubature; Boolean functions; Boolean midpoint
sums; computational aspects; d-variate Boolean midpoint
rules; d-variate Boolean trapezoidal rules;
integration; interpolation; interpolation methods;
Korobov classes; lattice rules; multiple numerical
integration; multivariate quadrature rules; periodic
functions",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Carlson:1995:NCR,
author = "B. C. Carlson",
title = "Numerical computation of real or complex elliptic
integrals",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "1--2",
pages = "13--26",
month = jul,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "33Exx (33-04 65D20)",
MRnumber = "1 345 407",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Special functions (Torino, 1993)",
acknowledgement = ack-nhfb,
classification = "B0290R (Integral equations); C4180 (Integral
equations)",
conflocation = "Torino, Italy; 14-15 Oct. 1993",
conftitle = "International Joint Symposium on Special Functions and
Artificial Intelligence",
corpsource = "Ames Lab., Iowa State Univ., Ames, IA, USA",
keywords = "Bulirsch's integrals; complex elliptic integrals;
complex values; consistency checks; elliptic equations;
integral equations; Legendre's integrals; numerical
analysis; numerical check values; numerical computation
algorithms; real elliptic integrals",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Gori:1995:EHT,
author = "Laura Gori and Elisabetta Santi",
title = "On the evaluation of {Hilbert} transforms by means of
a particular class of {Tur{\'a}n} quadrature rules",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "1--2",
pages = "27--39",
month = jul,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D32 (65R10)",
MRnumber = "96f:65030",
MRreviewer = "A. J. Rodrigues",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Special functions (Torino, 1993)",
acknowledgement = ack-nhfb,
classification = "B0230 (Integral transforms); B0290B (Error analysis
in numerical methods); B0290M (Numerical integration
and differentiation); B0290Z (Other numerical methods);
C1130 (Integral transforms); C4110 (Error analysis in
numerical methods); C4160 (Numerical integration and
differentiation); C4190 (Other numerical methods)",
conflocation = "Torino, Italy; 14-15 Oct. 1993",
conftitle = "International Joint Symposium on Special Functions and
Artificial Intelligence",
corpsource = "Dipartimento di Metodi e Modelli Matematici per le
Sci. Applicate, Rome Univ., Italy",
keywords = "Cauchy principle value integrals; error analysis;
generalized Gegenbauer weights; Hilbert transforms;
Hilbert transforms evaluation; integration; integration
formulas; multiple nodes; node multiplicity
independence; precision degree independence; remainder
term; Turan quadrature rules; weight functions",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Hunter:1995:ELF,
author = "D. B. Hunter",
title = "The evaluation of {Legendre} functions of the second
kind",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "1--2",
pages = "41--49",
month = jul,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "33C45 (65D20)",
MRnumber = "96i:33017",
MRreviewer = "J. P. Singhal",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Special functions (Torino, 1993)",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); C4110
(Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
conflocation = "Torino, Italy; 14-15 Oct. 1993",
conftitle = "International Joint Symposium on Special Functions and
Artificial Intelligence",
corpsource = "Dept. of Math., Bradford Univ., UK",
keywords = "error analysis; Heine's integral representation;
Legendre functions; Legendre polynomials; numerical
results; trapezoidal rule",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Iserles:1995:ERB,
author = "Arieh Iserles and Syvert P. N{\o}rsett",
title = "Explicit representations of biorthogonal polynomials",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "1--2",
pages = "51--67",
month = jul,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "33C70",
MRnumber = "96g:33022",
MRreviewer = "Kazuhiro Hikami",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Special functions (Torino, 1993)",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
conflocation = "Torino, Italy; 14-15 Oct. 1993",
conftitle = "International Joint Symposium on Special Functions and
Artificial Intelligence",
corpsource = "Dept. of Appl. Math. and Theor. Phys., Cambridge
Univ., UK",
keywords = "biorthogonal polynomials; explicit representations;
generalized hypergeometric function; linear
differential equation; Mobius maps; parametrised weight
function; polynomials",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Lorentzen:1995:CLP,
author = "Lisa Lorentzen",
title = "Computation of limit periodic continued fractions. {A}
survey",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "1--2",
pages = "69--111",
month = jul,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "40A15 (30B70 39A10)",
MRnumber = "97c:40001",
MRreviewer = "H.-J. Runckel",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Special functions (Torino, 1993)",
acknowledgement = ack-nhfb,
classification = "B0210 (Algebra); B0290 (Numerical analysis); C1110
(Algebra); C4100 (Numerical analysis)",
conflocation = "Torino, Italy; 14-15 Oct. 1993",
conftitle = "International Joint Symposium on Special Functions and
Artificial Intelligence",
corpsource = "Div. of Math. Sci., Trondheim Univ., Norway",
keywords = "algebra; algorithms; asymptotic expansions;
convergence; convergence of numerical methods; limit
periodic continued fraction computation; reviews; tail
values",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Mastroianni:1995:GCF,
author = "G. Mastroianni",
title = "Generalized {Christoffel} functions and error of
positive quadrature",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "1--2",
pages = "113--126",
month = jul,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A05 (41A55)",
MRnumber = "96h:41003",
MRreviewer = "A. J. Rodrigues",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Special functions (Torino, 1993)",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
conflocation = "Torino, Italy; 14-15 Oct. 1993",
conftitle = "International Joint Symposium on Special Functions and
Artificial Intelligence",
corpsource = "Dipartimento de Matematica, Basilicata Univ., Potenza,
Italy",
keywords = "Ditzian-Totik generalized weight; error estimate;
Gauss quadrature formula; generalized Christoffel
functions; lower bounds; polynomials; positive
quadrature error; upper bounds; weighted norm",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Milovanovic:1995:SSG,
author = "Gradimir V. Milovanovi{\'c}",
title = "Summation of series and {Gaussian} quadratures. {II}",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "1--2",
pages = "127--136",
month = jul,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D32 (30E20 40A25)",
MRnumber = "96f:65031",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Special functions (Torino, 1993)",
acknowledgement = ack-nhfb,
classification = "C1120 (Mathematical analysis); C4160 (Numerical
integration and differentiation)",
conflocation = "Torino, Italy; 14-15 Oct. 1993",
conftitle = "International Joint Symposium on Special Functions and
Artificial Intelligence",
corpsource = "Fac. of Electron. Eng., Nis Univ., Serbia",
keywords = "complex slowly convergent series; Gaussian
quadratures; hyperbolic weight; integration; Laplace
transform method; rational function; Riemann zeta
function; series (mathematics); series summation;
summation/integration procedure; weighted integral",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Montaner:1995:FDT,
author = "J. M. Montaner and M. Alfaro",
title = "On five-diagonal {Toeplitz} matrices and orthogonal
polynomials on the unit circle",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "1--2",
pages = "137--153",
month = jul,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "42C05 (15A57)",
MRnumber = "97a:42021",
MRreviewer = "Paolo Emilio Ricci",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Special functions (Torino, 1993)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
conflocation = "Torino, Italy; 14-15 Oct. 1993",
conftitle = "International Joint Symposium on Special Functions and
Artificial Intelligence",
corpsource = "Dept. de Matematica Aplicada, Zaragoza Univ., Spain",
keywords = "five diagonal matrix factorization; five diagonal
Toeplitz matrices; five-diagonal Toeplitz matrices;
functional equations; Lebesgue moment functional;
matrix polynomials; orthogonal polynomials;
polynomials; quasi definite moment functionals;
Toeplitz matrices; trigonometric polynomials; unit
circle",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Cecchi:1995:RAM,
author = "M. Morandi Cecchi and E. Pirozzi",
title = "A recursive algorithm by the moments method to
evaluate a class of numerical integrals over an
infinite interval",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "1--2",
pages = "155--165",
month = jul,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D30",
MRnumber = "96g:65031",
MRreviewer = "Klaus-J{\"u}rgen F{\"o}rster",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Special functions (Torino, 1993)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4180 (Integral equations); C4210 (Formal logic)",
conflocation = "Torino, Italy; 14-15 Oct. 1993",
conftitle = "International Joint Symposium on Special Functions and
Artificial Intelligence",
corpsource = "Dipartimento di Matematica Pura e Applicata, Padova
Univ., Italy",
keywords = "function space; functional; infinite interval;
integral equations; Laguerre polynomials; method of
moments; moments method; numerical integrals;
polynomial space; polynomials; recursive algorithm;
recursive functions; three term recursive formula;
zeros",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Notaris:1995:SPG,
author = "Sotirios E. Notaris",
title = "{Stieltjes} polynomials and {Gauss--Kronrod}
quadrature formulae for measures induced by {Chebyshev}
polynomials",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "1--2",
pages = "167--186",
month = jul,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "33C45 (65D32)",
MRnumber = "96j:33008",
MRreviewer = "V. L. Makarov",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Special functions (Torino, 1993)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4160 (Numerical integration and differentiation)",
conflocation = "Torino, Italy; 14-15 Oct. 1993",
conftitle = "International Joint Symposium on Special Functions and
Artificial Intelligence",
keywords = "Chebyshev approximation; Chebyshev measure; Chebyshev
measures; Chebyshev polynomials; exactness; explicit
formulae; Gauss Kronrod quadrature formulae;
Gauss-Kronrod quadrature formulae; inclusion property;
integration; nonnegative measure; orthogonal
polynomial; orthogonal polynomials; polynomials;
quadrature weights; Stieltjes polynomials; three term
recurrence relation; zeros",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Petras:1995:GIC,
author = "Knut Petras",
title = "{Gaussian} integration of {Chebyshev} polynomials and
analytic functions",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "1--2",
pages = "187--202",
month = jul,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D30 (41A55)",
MRnumber = "96d:65046",
MRreviewer = "Petru P. Blaga",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Special functions (Torino, 1993)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4160 (Numerical integration and differentiation);
C4240C (Computational complexity)",
conflocation = "Torino, Italy; 14-15 Oct. 1993",
conftitle = "International Joint Symposium on Special Functions and
Artificial Intelligence",
corpsource = "Inst. fur Angewandte Math., Tech. Univ. Braunschweig,
Germany",
keywords = "analytic functions; Chebyshev approximation; Chebyshev
polynomials; computational complexity; ellipse; error
constants; explicit bounds; Gaussian integration;
integration; kernel function; nth Gauss Legendre
quadrature rule; polynomials; quadrature error",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Sleijpen:1995:MCP,
author = "G{\`e}rard L. G. Sleijpen and Henk A. {van der
Vorst}",
title = "Maintaining convergence properties of {BiCGstab}
methods in finite precision arithmetic",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "3--4",
pages = "203--223",
month = oct,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10 (65Y20)",
MRnumber = "96g:65037",
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); C4240C
(Computational complexity)",
corpsource = "Math. Inst., Utrecht Univ., Netherlands",
keywords = "Bi-CG coefficient accuracy; Bi-CG iteration
coefficients; Bi-CG process; BiCGstab methods;
computational complexity; conjugate gradient methods;
convergence of numerical methods; convergence property
maintenance; convergence speed; finite precision
arithmetic; hybrid methods; matrix algebra; rounding
errors; roundoff errors",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Bojanczyk:1995:SAG,
author = "Adam W. Boja{\'n}czyk and Richard P. Brent and Frank
R. {de Hoog}",
title = "Stability analysis of a general {Toeplitz} systems
solver",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "3--4",
pages = "225--244",
month = oct,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F05 (15A06)",
MRnumber = "97e:65031",
MRreviewer = "Jean-Marie Chesneaux",
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); C4240C
(Computational complexity)",
corpsource = "Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA",
keywords = "computational complexity; fast algorithm; full-rank
Hankel least squares problem; full-rank Toeplitz least
squares problem; general Toeplitz systems solver;
Hankel matrices; Hankel matrix; least squares
approximations; nonsingular Hankel linear system;
numerical stability; QR factorization; semi-normal
equations; stability analysis; Toeplitz matrices;
Toeplitz matrix; weakly stable method",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Yan:1995:MMD,
author = "Xiao Pu Yan",
title = "Multistep methods for differential algebraic
equations",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "3--4",
pages = "245--260",
month = oct,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L05 (65L20)",
MRnumber = "96g:65067",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0210 (Algebra); B0290F (Interpolation and function
approximation); B0290P (Differential equations); C1110
(Algebra); C4130 (Interpolation and function
approximation); C4170 (Differential equations); C4240
(Programming and algorithm theory)",
corpsource = "Dept. of Math. and Stat., Pittsburgh Univ., PA, USA",
keywords = "computability; convergence of numerical methods;
convergence proof; differential algebraic equations;
iterative method; iterative methods; multistep methods;
nonlinear algebraic equations; nonlinear differential
equations; solvability proof; theorem proving",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Bartholomew-Biggs:1995:UMI,
author = "M. C. Bartholomew-Biggs and S. Zakovic",
title = "Using {Markov}'s interval arithmetic to evaluate
{Bessel--Riccati} functions",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "3--4",
pages = "261--287",
month = oct,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65G10 (65D20)",
MRnumber = "96i:65035",
MRreviewer = "John P. Coleman",
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); B0290M (Numerical
integration and differentiation); C4140 (Linear
algebra); C4160 (Numerical integration and
differentiation)",
corpsource = "Numerical Optimisation Centre, Hertfordshire Univ.,
Hatfield, UK",
keywords = "automatic differentiation; Bessel functions;
Bessel-Ricatti functions; differentiation; extended
interval arithmetic; FORTRAN; Fortran 90
implementations; hand-coded derivatives; Hansen's
methods; Markov processes; Markov's interval
arithmetic; monotonicity of functions; Riccati
equations; Taylor series remainder",
pubcountry = "Switzerland",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Bultheel:1995:FOP,
author = "Adhemar Bultheel and Marc Van Barel",
title = "Formal orthogonal polynomials and {Hankel\slash
Toeplitz} duality",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "3--4",
pages = "289--335",
month = oct,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "42C05 (65D30)",
MRnumber = "96m:42039",
MRreviewer = "Olav Nj{\aa}stad",
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., Katholieke Univ., Leuven,
Belgium",
keywords = "iterative methods; polynomials; Toeplitz matrices;
formal orthogonal polynomials; Hankel/Toeplitz duality;
positive measure; moment matrix; positive definite;
recurrence relation; coupled Szeg{\"o} recurrence
relation; arbitrary moment matrix; Pade approximation;
Krylov subspace iterative methods",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Paszkowski:1995:QHS,
author = "S. Paszkowski",
title = "Quasipower and hypergeometric series---construction
and evaluation",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "3--4",
pages = "337--361",
month = oct,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A58 (33-04 65B99)",
MRnumber = "96k:41042",
MRreviewer = "Walter Schempp",
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);
B0290Z (Other numerical methods); C4130 (Interpolation
and function approximation); C4190 (Other numerical
methods)",
corpsource = "Inst. for Low Temp. and Structure Res., Polish Acad.
of Sci., Wroclaw, Poland",
keywords = "approximation theory; Euler's dilogarithm;
Hermite-Pade approximation; hypergeometric series;
Levin's transforms; Pade approximants; power series;
quasipower; recurrence relations; series (mathematics);
transforms",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Lui:1995:HMN,
author = "S. H. Lui and G. H. Golub",
title = "Homotopy method for the numerical solution of the
eigenvalue problem of self-adjoint partial differential
operators",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "3--4",
pages = "363--378",
month = oct,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65N25",
MRnumber = "96g:65108",
MRreviewer = "S. F. McCormick",
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); B0290P (Differential
equations); C4130 (Interpolation and function
approximation); C4140 (Linear algebra); C4170
(Differential equations)",
corpsource = "Dept. of Math., Hong Kong Univ. of Sci. and Technol.,
Kowloon, Hong Kong",
keywords = "eigenvalues and eigenfunctions; iterative methods;
partial differential equations; Homotopy method;
numerical solution; eigenvalue problem; self-adjoint
partial differential operators; discrete approximation;
eigenvectors; Rayleigh quotient iteration; iterative
solver; low-rank perturbation; Schr{\"o}dinger
eigenvalue problem",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Choi:1995:DPD,
author = "Jaeyoung Choi and Jack J. Dongarra and David W.
Walker",
title = "The design of a parallel dense linear algebra software
library: reduction to {Hessenberg}, tridiagonal, and
bidiagonal form",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "3--4",
pages = "379--399",
month = oct,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65-04 (65Y10)",
MRnumber = "1 355 739",
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);
C6110B (Software engineering techniques); C6115
(Programming support); C7310 (Mathematics computing)",
corpsource = "Dept. of Comput. Sci., Tennessee Univ., Knoxville, TN,
USA",
keywords = "Basic Linear Algebra Communication Subprograms;
bidiagonal form; BLACS; dense linear algebra
computations; distributed memory concurrent computers;
eigenproblems; eigenvalues and eigenfunctions;
Hessenberg form; LAPACK routine; linear algebra;
mathematics computing; matrices; matrix reduction
algorithms; parallel BLAS; parallel dense linear
algebra software library; ScaLAPACK; sequencing BLAS;
software engineering; software libraries; tridiagonal
form",
pubcountry = "Switzerland",
treatment = "A Application; P Practical",
}
@Article{Levesley:1995:CKB,
author = "J. Levesley",
title = "Convolution kernels based on thin-plate splines",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "3--4",
pages = "401--419",
month = oct,
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A30 (41A63 65D07)",
MRnumber = "96g:41023",
MRreviewer = "Peter Alfeld",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C1230D (Neural nets); C1260 (Information theory);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math. and Comput. Sci., Leicester Univ., UK",
keywords = "convolution; convolution kernels; feedforward neural
nets; kernels; positive even integer;
quasi-interpolation; radial basis functions; series
expansions; space dimensions; spatial dimension;
splines (mathematics); thin-plate splines",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Ciarlini:1995:EAS,
author = "P. Ciarlini and F. Pavese",
title = "Erratum to {``Application of special reduction
procedures to metrological data'' [Numer. Algorithms
{\bf 5} (1993), no. 1--4, 479--489]}",
journal = j-NUMER-ALGORITHMS,
volume = "10",
number = "3--4",
pages = "421--421",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Wed Feb 07 07:55:43 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "See \cite{Ciarlini:1993:ASR}.",
acknowledgement = ack-nhfb,
ZMnumber = "836.65157",
}
@Article{Beckermann:1996:SCF,
author = "Bernhard Beckermann",
title = "The stable computation of formal orthogonal
polynomials",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "1--23",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65Dxx",
MRnumber = "1 383 373",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); C4110
(Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Univ. des Sci. et Tech. de Lille Flandres Artois,
Villeneuve d'Ascq, France",
keywords = "basis polynomials; Cabay-Meleshko algorithm; classical
three term recurrence; error analysis; finite precision
arithmetic; formal orthogonal polynomials; Hankel
matrix; Lanczos algorithm; look-ahead generalization;
numerical orthogonality; numerically computing pairs;
polynomial combinations; polynomials; stability;
stability parameters; stable computation",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
xxtitle = "The stable computation of orthogonal polynomials",
}
@Article{Brezinski:1996:ALF,
author = "C. Brezinski and P. Maroni",
title = "The algebra of linear functionals on polynomials, with
applications to {Pad{\'e}} approximation",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "25--33",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "42C05 (41A21)",
MRnumber = "97b:42037",
bibdate = "Wed Feb 7 07:37:21 MST 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290H (Linear algebra); B0290K (Nonlinear and
functional equations); C4130 (Interpolation and
function approximation); C4140 (Linear algebra); C4150
(Nonlinear and functional equations)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Lab. d'Anal. Numer. et d'Opt., Univ. des Sci. et Tech.
de Lille Flandres Artois, Villeneuve d'Ascq, France",
keywords = "algebra; approximation theory; complex polynomials;
functional equations; linear algebra; linear
functionals; orthogonal polynomials; Pade
approximation; polynomials; relative error; vector
space; vectors",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
ZMnumber = "862.42016",
}
@Article{Brezinski:1996:LAS,
author = "C. Brezinski and M. Redivo-Zaglia",
title = "A look-ahead strategy for the implementation of some
old and new extrapolation methods",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "35--55",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B05 (65B10)",
MRnumber = "97b:65004",
MRreviewer = "Horst Hollatz",
bibdate = "Wed Feb 7 07:37:21 MST 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation); C4240
(Programming and algorithm theory)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Lab. d'Analyse Number. et d'Opt., Univ. des Sci. et
Tech. de Lille Flandres Artois, Villeneuve d'Ascq,
France",
keywords = "$\epsilon$-algorithm; algorithm breakdown avoidance;
algorithm theory; badly computed polynomials;
biorthogonal polynomials; convergence acceleration;
extrapolation; extrapolation methods; formal orthogonal
polynomials; G-transformation; Lanczos-based methods;
linear equation systems; look-ahead strategy;
nonexistent polynomial jumping; numerical stability;
polynomials; sequence transformations; sequences;
Shanks transformation",
pubcountry = "Switzerland",
treatment = "P Practical; T Theoretical or Mathematical",
ZMnumber = "851.65002",
}
@Article{Bultheel:1996:ORF,
author = "A. Bultheel and P. Gonz{\'a}lez-Vera and E. Hendriksen
and O. Nj{\aa}stad",
title = "Orthogonal rational functions and modified
approximants",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "57--69",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A20 (30E05 42C05)",
MRnumber = "97a:41016",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Dept. of Comput. Sci., Katholieke Univ., Leuven,
Belgium",
keywords = "associated functions; complex plane; conjugates;
function approximation; Hermitian inner product;
modified approximants; modified Pade-type approximants;
moment problem; open unit disk; orthogonal rational
functions; orthonormal sequence; orthonormalization;
positive Borel measure; positive-definite; unit
circle",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Butcher:1996:OPP,
author = "J. C. Butcher",
title = "Orthogonal polynomials, {Pad{\'e}} approximations and
${A}$-stability",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "71--78",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L06",
MRnumber = "96m:65072",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Dept. of Math., Auckland Univ., New Zealand",
keywords = "A-stability; approximation theory; exponential
function; function approximation; Gauss-Legendre
formulas; implicit Runge--Kutta methods; integration;
numerical stability; orthogonal polynomials; Pade
approximations; Pade table diagonal; Pade table
subdiagonals; polynomials; quadrature formulas;
Runge--Kutta methods; stability functions",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Calvetti:1996:HIM,
author = "D. Calvetti and L. Reichel",
title = "A hybrid iterative method for symmetric positive
definite linear systems",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "79--98",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10",
MRnumber = "96m:65033",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290H (Linear algebra); C4130 (Interpolation and
function approximation); C4140 (Linear algebra)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Dept. of Pure and Appl. Math., Stevens Inst. of
Technol., Hoboken, NJ, USA",
keywords = "approximate solution; conjugate gradient method;
conjugate gradient methods; eigenvalues and
eigenfunctions; equations; extreme eigenvalues; hybrid
iterative method; interval; iteration parameters;
iterative methods; large sparse symmetric positive
definite matrix; matrix algebra; Richardson iteration;
symmetric positive definite linear equation systems",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Chesneaux:1996:BNB,
author = "Jean-Marie Chesneaux and Ana C. Matos",
title = "Breakdown and near-breakdown control in the {CGS}
algorithm using stochastic arithmetic",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "99--116",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10 (65F25 65G05)",
MRnumber = "96m:65034",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation); C4240
(Programming and algorithm theory); C5230 (Digital
arithmetic methods)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "CNRS, Univ. Pierre et Marie Curie, Paris, France",
keywords = "algorithm theory; approximation theory; breakdown
control; conjugate gradient methods;
conjugate-gradient-squared method; denominator;
efficient breakdown detection; floating point
arithmetic; formal orthogonal polynomials; intermediate
results accuracy estimation; Lanczos methods;
near-breakdown; ordering relations; polynomial
coefficients; polynomials; residuals sequence;
round-off errors; roundoff errors; scalar product
ratio; stochastic arithmetic; stochastic processes",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Craviotto:1996:CSF,
author = "Cathleen M. Craviotto and William B. Jones and W. J.
Thron and Nancy J. Wyshinski",
title = "Computation of special functions by {Pad{\'e}}
approximants with orthogonal polynomial denominators",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "117--141",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65Dxx (30B70 30E10 33C45 41A21)",
MRnumber = "1 383 380",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); B0290B
(Error analysis in numerical methods); B0290F
(Interpolation and function approximation); C4110
(Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Dept. of Math. Sci., Northern Colorado Univ., Greeley,
CO, USA",
keywords = "complex domain; continued fractions; error analysis;
function approximation; infinite sequence truncation;
Laurent polynomials; nonnegative T-fractions; numerical
roundoff; orthogonal polynomial denominators; Pade
approximants; physics; polynomials; real J-fractions;
rigorous error bounds; roundoff errors; significant
decimal digits; special functions computation;
Stieltjes fractions",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Draux:1996:FOP,
author = "Andr{\'e} Draux",
title = "Formal orthogonal polynomials revisited.
{Applications}",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "143--158",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "26C99 (65F15)",
MRnumber = "97b:26012",
MRreviewer = "Dimitar Kolev Dimitrov",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Dept. de Genie Math., Inst. Nat. des Sci.
Appliqu{\'e}es de Rouen, Mont-Saint-Aignan, France",
keywords = "eigenvalues; eigenvalues and eigenfunctions; formal
orthogonal polynomials; G algorithm; generalized
adjacent polynomials; Hankel matrices; Hankel matrix;
Lanczos methods; polynomial matrices; singular blocks;
weight function",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Emad:1996:PRR,
author = "Nahid Emad",
title = "The {Pad{\'e}-Rayleigh-Ritz} method for solving large
{Hermitian} eigenproblems",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "159--179",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F15 (15A18 65Y05)",
MRnumber = "97b:65043",
MRreviewer = "M. Znojil",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra); C4240P (Parallel programming
and algorithm theory)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Lab. PRiSM, Univ. Versailles St-Quentin, France",
keywords = "approximation theory; eigenvalues and eigenfunctions;
Hermitian matrices; Krylov sequence; Krylov subspace
methods; Lanczos methods; large hermitian
eigenproblems; large hermitian matrix; massively
parallel machines; matrix multiplication; matrix-vector
multiplications; minimum polynomial; numerical
stability; Pade approximant; Pade approximants;
Pade-Rayleigh-Ritz method; parallel computing; parallel
processing; polynomials; projection methods;
Rayleigh-Ritz methods; Ritz values; roots of the
polynomial; sparse matrices",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Fischer:1996:NCG,
author = "Bernd Fischer and Martin Hanke and Marlis Hochbruck",
title = "A note on conjugate-gradient type methods for
indefinite and\slash or inconsistent linear systems",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "181--187",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10",
MRnumber = "96m:65037",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Inst. fur Math., Medizinische Univ. zu Lubeck,
Germany",
keywords = "conjugate gradient methods; conjugate-gradient type
methods; inconsistent linear systems; indefinite linear
systems; induced norm minimization; inner product
space; interpolation; matrix algebra; polynomials;
residual polynomials; symmetric linear systems",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Graves-Morris:1996:NAA,
author = "P. R. Graves-Morris",
title = "A new approach to acceleration of convergence of a
sequence of vectors",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "189--201",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B05 (65F10)",
MRnumber = "97d:65002",
MRreviewer = "Jan Z{\'i}tko",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Dept. of Math., Bradford Univ., UK",
keywords = "accelerator; approximation theory; convergence of
numerical methods; extrapolation; numerical
difficulties; polynomial; polynomials; positivity
property; VEA; vector $\epsilon$-algorithm; vector
epsilon table; vector Pade approximant; vector sequence
convergence acceleration; vectors",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Hanke:1996:AOP,
author = "Martin Hanke",
title = "Asymptotics of orthogonal polynomials and the
numerical solution of ill-posed problems",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "203--214",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65J20",
MRnumber = "96m:65065",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Inst. fur Praktische Math., Karlsruhe Univ., Germany",
keywords = "Christoffel functions; conjugate gradient method;
conjugate gradient methods; convergence rate; extremal
zeros; fast decreasing polynomials; ill-posed problems;
iterative methods; Lommel polynomials; numerical
algorithms; numerical stability; orthogonal polynomial
asymptotics; polynomials; Tricomi-Carlitz polynomials;
uniform bounds; weight function; zeros of orthogonal
polynomials",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Iserles:1996:BPR,
author = "Arieh Iserles",
title = "Biorthogonal polynomials: {Recent} developments",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "215--228",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "42C05",
MRnumber = "97d:42019",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Dept. of Appl. Math. and Theor. Phys., Cambridge
Univ., UK",
keywords = "biorthogonal polynomials; functional relationship;
generalized hypergeometric functions; Mobius quotient
functions; MQFs; parametrized Borel measures; poles and
zeros; polynomial transformations; polynomials; weight
function",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Kiesel:1996:NKP,
author = "Harry Kiesel and Jet Wimp",
title = "A note on {Koornwinder}'s polynomials with weight
function
$(1-x)^\alpha(1+x)^\beta+{M}\delta(x+1)+{N}\delta(x-1)$",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "229--241",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "33C45",
MRnumber = "97a:33020",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4240C (Computational complexity)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Dept. of Math. and Comput. Sci., Drexel Univ.,
Philadelphia, PA, USA",
keywords = "coefficients; computational complexity; explicit
expressions; Jacobi polynomials; Koornwinder
polynomials; linear functional; polynomials; three term
recurrence relation; weight function",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Maroni:1996:RFD,
author = "P. Maroni",
title = "On a regular form defined by a pseudo-function",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "243--254",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "42C05",
MRnumber = "97b:42044",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "C1110 (Algebra); C4130 (Interpolation and function
approximation)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Lab. d'Anal. Numerique, Univ. Pierre et Marie Curie,
Paris, France",
keywords = "Chebyshev approximation; Legendre form; Legendre
polynomials; orthogonal polynomials; pseudo function;
recurrence coefficients; regular form; Stieltjes
functions",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Matos:1996:SCR,
author = "Ana C. Matos",
title = "Some convergence results for the generalized
{Pad{\'e}}-type approximants",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "255--269",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A21 (42C10)",
MRnumber = "96m:41021",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Lab. d'Anal. Numerique et d'Opt., Univ. des Sci. et
Tech. de Lille Flandres Artois, Villeneuve d'Ascq,
France",
keywords = "convergence of numerical methods; convergence results;
generalized Pade type approximants; generating
function; Hermite interpolation; interpolation;
interpolatory functionals; Lagrange; linear functional;
orthogonal expansions; series (mathematics)",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Monegato:1996:SNI,
author = "Giovanni Monegato",
title = "A stable {Nystr{\"o}m} interpolant for some {Mellin}
convolution equations",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "271--283",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65R20 (45L05)",
MRnumber = "97b:65150",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4160 (Numerical integration and differentiation);
C4180 (Integral equations)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Dipartimento di Matematica, Politecnico di Torino,
Italy",
keywords = "integral equations; integration; interpolation;
numerical stability; polynomials; stable Nystr{\"o}m
interpolant; Mellin convolution equations; second kind
integral equations; product quadrature rule; Lagrange
polynomial; Gauss-Radau nodes; stability; convergence
estimates",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Cecchi:1996:MBM,
author = "M. Morandi Cecchi and E. {Di Nardo}",
title = "The modified bordering method to evaluate eigenvalues
and eigenvectors of normal matrices",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "285--309",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65Fxx",
MRnumber = "1 383 391",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra); C4240C (Computational
complexity)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Dipartimento di Matematica Pura e Applicata, Padova
Univ., Italy",
keywords = "computational complexity; computational cost;
eigensystem; eigenvalues; eigenvalues and
eigenfunctions; eigenvectors; Hermitian matrices;
matrix decomposition; modified bordering method;
modified Brent algorithm; nonsymmetric matrices; normal
matrices; polynomial roots; polynomials; principal
minor; quasi symmetric matrices; recursive formulas;
spectral decomposition",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Norsett:1996:DOP,
author = "Syvert P. N{\o}rsett and Bente {\O}stig{\aa}rd",
title = "Dual-orthogonal polynomials",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "311--326",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "42C05",
MRnumber = "97c:42045",
MRreviewer = "A. Bultheel",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4160 (Numerical integration and differentiation)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Dept. of Math. Sci., Norwegian Inst. of Technol.,
Trondheim, Norway",
keywords = "dual orthogonal polynomial sequence; dual orthogonal
polynomials; existence theorems; explicit formulae;
Gauss type quadrature formula; generalized polynomials;
integration; poles and zeros; polynomials; sequences;
vector spaces; zeros",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Salam:1996:AAV,
author = "A. Salam",
title = "An algebraic approach to the vector
$\epsilon$-algorithm",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "327--337",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65B05 (15A66)",
MRnumber = "97a:65007",
MRreviewer = "Thomas A. Atchison",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1994)",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "Lab. de Math. Appl., Littoral Univ., Calais, France",
keywords = "algebraic approach; Clifford algebra; Clifford group;
extrapolation; extrapolation algorithms; group theory;
pseudo inverse; scalar $\epsilon$-algorithm; vector
$\epsilon$-algorithm; vectors",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{VanIseghem:1996:AFG,
author = "Jeannette {Van Iseghem} and Peter R. Graves-Morris",
title = "Approximation of a function given by its {Laurent}
series",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1--4",
pages = "339--351",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "30E10 (41A17)",
MRnumber = "96m:30057",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
note = "Orthogonal polynomials and numerical analysis (Luminy,
1995)",
acknowledgement = ack-nhfb,
classification = "C1110 (Algebra); C4130 (Interpolation and function
approximation)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
corpsource = "UFR de Math., Lille I Univ., Villeneuve d'Ascq,
France",
keywords = "annulus; denominators; function approximation;
holomorphic function; Laurent series; meromorphic;
numerators; poles; polynomials; qualitative properties;
recurrence relation; reverse orthogonal polynomials;
series (mathematics)",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Grimme:1996:MRS,
author = "E. J. Grimme and D. C. Sorensen and P. {Van Dooren}",
title = "Model reduction of state space systems via an
implicitly restarted {Lanczos} method",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "1--2",
pages = "1--31",
month = apr,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F15 (65G05)",
MRnumber = "1 423 546",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C1310 (Control system analysis and synthesis
methods); C1340B (Multivariable control systems); C4140
(Linear algebra)",
corpsource = "Coordinated Sci. Lab., Illinois Univ., Urbana, IL,
USA",
keywords = "eigenvalues; eigenvalues and eigenfunctions; implicit
restarting; implicitly restarted Lanczos method;
Lanczos generated model; large scale systems;
large-scale systems; model reduction technique;
nonsymmetric Lanczos method; reduced order systems;
SISO; state space systems; state-space methods;
unexpensive implicit restarts; unstable partial
realization",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Gallivan:1996:RLA,
author = "K. Gallivan and E. Grimme and P. {Van Dooren}",
title = "A rational {Lanczos} algorithm for model reduction",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "1--2",
pages = "33--63",
month = apr,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F15 (65G05)",
MRnumber = "1 423 547",
bibdate = "Wed Feb 7 07:37:21 MST 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C1310 (Control system analysis and synthesis
methods); C1340B (Multivariable control systems); C4130
(Interpolation and function approximation)",
corpsource = "Coordinated Sci. Lab., Illinois Univ., Urbana, IL,
USA",
keywords = "convergence; exact expression; interpolant;
interpolation; Lanczos type approach; large scale
linear systems; large-scale systems; model reduction
method; multi point Pade approximant; nonsymmetric
Lanczos method; rational interpolant; rational
interpolation; rational Lanczos; rational Lanczos
algorithm; rational Lanczos method; reduced order
systems; single point Lanczos approaches; state space
systems; state-space methods",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
ZMnumber = "870.65053",
}
@Article{Arioli:1996:CEA,
author = "M. Arioli and H. Munthe-Kaas and L. Valdettaro",
title = "Componentwise error analysis for {FFT}s with
applications to fast {Helmholtz} solvers",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "1--2",
pages = "65--88",
month = apr,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65Txx",
MRnumber = "1 423 548",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4140
(Linear algebra); C4170 (Differential equations); C4190
(Other numerical methods)",
corpsource = "Istituto di Analisi Numerica, CNR, Pavia, Italy",
keywords = "algorithmic error; classical fast Helmholtz equation
solvers; componentwise error analysis; Cooley-Tukey
algorithm; error analysis; error matrix; exact
arithmetic; fast Fourier transform; fast Fourier
transforms; fast Helmholtz solvers; faster Fourier
transform; FFTs; Helmholtz equations; infinity norm;
matrix algebra; max norm error; optimal bounds;
rounding errors; roundoff errors; sequence length;
statistical error analysis; theoretical upper bounds;
tight upper bounds; turbulence; worst case analysis",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Pan:1996:MFF,
author = "K. Pan",
title = "On the method of finding frequencies with large
amplitudes",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "1--2",
pages = "89--96",
month = apr,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "94A12",
MRnumber = "1 423 549",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B6140 (Signal processing and detection); C1120
(Mathematical analysis); C4100 (Numerical analysis);
C5260 (Digital signal processing)",
corpsource = "Dept. of Math., Barry Univ., Miami Shores, FL, USA",
keywords = "continuous waveform; convergence; convergence of
numerical methods; discrete time signals; discrete time
systems; finite number; large amplitudes; signal
processing; sinusoidal waves; superposition; unknown
frequencies; waveform analysis; Wiener-Levinson
method",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Ye:1996:ABL,
author = "Qiang Ye",
title = "An adaptive block {Lanczos} algorithm",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "1--2",
pages = "97--110",
month = apr,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F15",
MRnumber = "1 423 550",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C1110 (Algebra); C4130 (Interpolation and function
approximation); C4140 (Linear algebra); C4240
(Programming and algorithm theory)",
corpsource = "Dept. of Appl. Math., Manitoba Univ., Winnipeg, Man.,
Canada",
keywords = "adaptive algorithm; adaptive block Lanczos algorithm;
adaptive estimation; algorithm theory; block size;
clustered eigenvalue; clustered eigenvalues;
eigenvalues and eigenfunctions; iteration; iterative
methods; matrix algebra; misconvergence; multiple
eigenvalues; residual bounds; Ritz value",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Mulansky:1996:CMC,
author = "Bernd Mulansky and Jochen W. Schmidt",
title = "Constructive methods in convex ${C}^2$ interpolation
using quartic splines",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "1--2",
pages = "111--124",
month = apr,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A15)",
MRnumber = "1 423 551",
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);
C1110 (Algebra); C4130 (Interpolation and function
approximation)",
corpsource = "Inst. fur Numerische Math., Tech. Univ. Dresden,
Germany",
keywords = "additional knot; choice functional; constructive
method; convex $C^2$ interpolation; convexity;
interpolation; monotonicity; quartic splines; refined
grid; shape preserving interpolation; splines
(mathematics); subinterval",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Calvetti:1996:ARI,
author = "D. Calvetti and L. Reichel",
title = "An adaptive {Richardson} iteration method for
indefinite linear systems",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "1--2",
pages = "125--149",
month = apr,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10",
MRnumber = "1 423 552",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0210 (Algebra); B0290F (Interpolation and function
approximation); B0290H (Linear algebra); C1110
(Algebra); C4130 (Interpolation and function
approximation); C4140 (Linear algebra); C4240
(Programming and algorithm theory)",
corpsource = "Dept. of Pure and Appl. Math., Stevens Inst. of
Technol., Hoboken, NJ, USA",
keywords = "adaptive Richardson iteration method; algorithm
theory; compact set; conjugate residual methods;
indefinite linear systems; indefinite matrix; iterative
methods; Lanczos process; large linear systems of
equations; Leja points; matrix algebra; relaxation
parameters; sparse matrices; sparse matrix algebra;
symmetric nonsingular matrix; SYMMLQ",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Gresbrand:1996:RSP,
author = "Anke Gresbrand",
title = "Rational ${B}$-splines with prescribed poles",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "1--2",
pages = "151--158",
month = apr,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07",
MRnumber = "1 423 553",
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); C4240
(Programming and algorithm theory)",
corpsource = "Hannover Univ., Germany",
keywords = "algorithm theory; Chebyshevian B- splines; DeBoor
recursion; DeBoor's recursion; knot inserting
algorithm; numerical stability; NURBS; partition of
unity; poles and zeros; polynomial B-splines;
prescribed poles; rational B-splines; recurrence
relation; recursion formula; splines; splines
(mathematics)",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Amitai:1996:PAH,
author = "Dganit Amitai and Amir Averbuch and Moshe Israeli and
Samuel Itzikowitz",
title = "On parallel asynchronous high-order solutions of
parabolic {PDE}s",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "1--2",
pages = "159--192",
month = apr,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65N06 (65N12 65Y05)",
MRnumber = "1 423 554",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C4100 (Numerical analysis); C4130 (Interpolation and
function approximation); C4170 (Differential
equations); C4240P (Parallel programming and algorithm
theory); C6110P (Parallel programming); C7310
(Mathematics computing)",
corpsource = "Dept. of Comput. Sci., Tel Aviv Univ., Israel",
keywords = "concurrency control; concurrent process
synchronization; finite difference methods; iterative
methods; mathematics computing; message passing; MIMD;
parabolic PDE; parallel algorithm; parallel algorithms;
parallel asynchronous high-order solutions; parallel
programming; parametric asynchronous finite-difference
scheme; partial differential equation; partial
differential equations",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Ciarlet:1996:VFO,
author = "P. {Ciarlet, Jr.} and F. Lamour",
title = "On the validity of a front-oriented approach to
partitioning large sparse graphs with a connectivity
constraint",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "1--2",
pages = "193--214",
month = apr,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "90C35 (05C40 68R10)",
MRnumber = "1 423 555",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C1110 (Algebra); C1160 (Combinatorial mathematics);
C4140 (Linear algebra); C4240C (Computational
complexity)",
corpsource = "CEA, Villeneuve St. George, France",
keywords = "computational complexity; connectivity constraint;
edge cuts; finite element meshes; front-oriented
approach; graph theory; heuristic; large sparse graph
partitioning; sparse matrices",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Willemans:1996:SSD,
author = "Karin Willemans and Paul Dierckx",
title = "Smoothing scattered data with a monotone
{Powell--Sabin} spline surface",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "1--2",
pages = "215--232",
month = apr,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A15 (41A29 65D07)",
MRnumber = "1 423 556",
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 = "Dept. of Comput. Sci., Katholieke Univ., Leuven,
Belgium",
keywords = "Bernstein-Bezier representation; locally supported
basis functions; monotone Powell-Sabin spline surface;
monotonicity conditions; scattered data smoothing;
splines (mathematics); surface fitting",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Tong:1996:LSS,
author = "Charles H. Tong and Qiang Ye",
title = "A linear system solver based on a modified {Krylov}
subspace method for breakdown recovery",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "1--2",
pages = "233--251",
month = apr,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10",
MRnumber = "1 423 557",
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); C4140 (Linear
algebra)",
corpsource = "Dept. of Math., Hong Kong Univ. of Sci. and Technol.,
Hong Kong",
keywords = "breakdown recovery; convergence bounds; convergence of
numerical methods; eigenvalue problems; eigenvalues and
eigenfunctions; Krylov subspace; linear system solver;
matrix algebra; minimisation; MLAN/QM algorithm;
modified dual Krylov subspace; modified Krylov subspace
method; newstart vector; nonsymmetric Lanczos method;
nonsymmetric linear systems; potential breakdown
problem; residual quasi minimization",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{MacLeod:1996:RAS,
author = "Allan J. MacLeod",
title = "Rational approximations, software and test methods for
sine and cosine integrals",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "3--4",
pages = "259--272",
month = jul,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D15",
MRnumber = "97e:65020",
bibdate = "Tue Apr 29 08:56:05 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4180 (Integral equations); C6150G (Diagnostic,
testing, debugging and evaluating systems); C7310
(Mathematics computing)",
corpsource = "Dept. of Math. and Stat., Paisley Univ., UK",
keywords = "approximation theory; code performance assessment;
cosine integrals; Fortran codes; functions; integral
equations; mathematics computing; netlib library FN
codes; program testing; rational approximations; robust
software construction; sine integrals; software;
software performance evaluation; test methods",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Shi:1996:GPS,
author = "Yixun Shi",
title = "A globalization procedure for solving nonlinear
systems of equations",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "3--4",
pages = "273--286",
month = jul,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65H10",
MRnumber = "1 402 850",
bibdate = "Tue Apr 29 08:56:05 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4150 (Nonlinear and functional equations)",
corpsource = "Dept. of Math. and Comput. Sci., Bloomsburg Univ., PA,
USA",
keywords = "arbitrary initial point; convergence; convergence of
numerical methods; globalization procedure; iteration;
local minimizer; Newton method; Newton step; nonlinear
equation system solving; nonlinear equations; numerical
experiments; steepest descent step",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Sauer:1996:RPL,
author = "Thomas Sauer and Yuan Xu",
title = "Regular points for {Lagrange} interpolation on the
unit disk",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "3--4",
pages = "287--296",
month = jul,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A05",
MRnumber = "97e:41003",
bibdate = "Tue Apr 29 08:56:05 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Math. Inst., Erlangen-Nurnberg Univ., Germany",
keywords = "Euclidean plane; interpolation; Lagrange
interpolation; natural lattices; polynomials; regular
points; rotational symmetry; unit disk",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Huang:1996:HSP,
author = "Wanzhen Huang",
title = "Heuristic solutions to polynomial moment problems with
some convex entropic objectives",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "3--4",
pages = "297--308",
month = jul,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "90C25 (65K10)",
MRnumber = "1 402 852",
bibdate = "Tue Apr 29 08:56:05 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C1180 (Optimisation techniques); C4130
(Interpolation and function approximation); C4240
(Programming and algorithm theory)",
corpsource = "Dept. of Math. and Stat., Lakehead Univ., Thunder Bay,
Ont., Canada",
keywords = "algebraic moments; algorithm theory; algorithms;
Boltzmann-Shannon entropy; Burg entropy; convex
entropic objectives; convex minimization programming
problem; convex programming; entropy-like objective
function; heuristic solutions; iteration methods;
linear constraints; maximum entropy method; maximum
entropy methods; minimisation; Newton method;
nonnegative density; numerical computations; polynomial
moment problems; polynomials; trigonometric moments",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Karageorghis:1996:EDM,
author = "Andreas Karageorghis and Marcin Paprzycki",
title = "An efficient direct method for fully conforming
spectral collocation schemes",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "3--4",
pages = "309--319",
month = jul,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65N35 (65F05 65N22)",
MRnumber = "97e:65136",
bibdate = "Tue Apr 29 08:56:05 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C7310 (Mathematics
computing)",
corpsource = "Dept. of Math. and Stat., Cyprus Univ., Nicosia,
Cyprus",
keywords = "2D problems; 3D problems; boundary-value problems;
Cray J-916 supercomputer; efficient direct method;
fourth order problems; fully conforming spectral
collocation schemes; global matrix block structure;
linear systems; mathematics computing; matrix algebra;
multidomain spectral collocation schemes; RS6000
workstation; second order problems; spectral-domain
analysis",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Witomski:1996:ACP,
author = "P. Witomski",
title = "Approximation of the capillarity problem by an
augmented {Lagrangian} method",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "3--4",
pages = "321--346",
month = jul,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65Dxx (76Mxx)",
MRnumber = "1 402 854",
bibdate = "Tue Apr 29 08:56:05 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A6810C
(Fluid surface energy (surface tension, interface
tension, angle of contact, etc.)); C4110 (Error
analysis in numerical methods); C4130 (Interpolation
and function approximation); C4185 (Finite element
analysis); C7320 (Physics and chemistry computing)",
corpsource = "LMC-IMAG, Grenoble, France",
keywords = "algorithm; approximation theory; augmented Lagrangian
method; axisymmetric case; capillarity; capillarity
problem approximation; capillary surfaces; convergence;
convergence of numerical methods;
decomposition-coordination method; discretization;
discretization error; error analysis; finite element
analysis; finite element method; gravitational held;
gravity; physics computing; surface tension;
two-dimensional space",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Jackiewicz:1996:VSC,
author = "Z. Jackiewicz and S. Tracogna",
title = "Variable stepsize continuous two-step {Runge--Kutta}
methods for ordinary differential equations",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "3--4",
pages = "347--368",
month = jul,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L06",
MRnumber = "97e:65064",
bibdate = "Tue Apr 29 08:56:05 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0220 (Mathematical analysis); B0290P (Differential
equations); C1120 (Mathematical analysis); C4170
(Differential equations)",
corpsource = "Dept. of Math., Arizona State Univ., Tempe, AZ, USA",
keywords = "consecutive step size ratios; convergence; convergence
of numerical methods; differential equations; initial
value problems; nonuniform meshes; order criteria;
ordinary differential equations; Runge--Kutta methods;
stage values; variable step-size continuous two-step
Runge--Kutta methods",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Kaagstrom:1996:CES,
author = "Bo K{\aa}gstr{\"o}m and Peter Poromaa",
title = "Computing eigenspaces with specified eigenvalues of a
regular matrix pair $({A},{B})$ and condition
estimation: theory, algorithms and software",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "3--4",
pages = "369--407",
month = jul,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65Fxx",
MRnumber = "1 402 856",
bibdate = "Tue Apr 29 08:56:05 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Comput. Sci., Umea Univ., Sweden",
keywords = "condition estimation; deflating sub-spaces;
eigenspaces; eigenvalues; eigenvalues and
eigenfunctions; error bounds; matrix algebra; numerical
stability; reciprocal values; regular matrix pair;
specified eigenvalues",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Beauzamy:1996:RSK,
author = "Bernard Beauzamy",
title = "Reconstructing a signal from the knowledge of the
norms of its multiples",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "3--4",
pages = "409--414",
month = jul,
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "94A12 (30C15)",
MRnumber = "97e:94002",
bibdate = "Tue Apr 29 08:56:05 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B6140 (Signal processing and detection); C4130
(Interpolation and function approximation); C5260
(Digital signal processing)",
corpsource = "Inst. de Calcul Math., Paris, France",
keywords = "$L_2$-norm; Bombieri's norm; complexity; norms of its
multiples; periodic signal; polynomials;
reconstruction; signal reconstruction",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Hasegawa:1996:AIP,
author = "Takemitsu Hasegawa and Avram Sidi",
title = "An automatic integration procedure for infinite range
integrals involving oscillatory kernels",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "1--2",
pages = "1--19",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65Dxx (41A55)",
MRnumber = "1 417 680",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C1130 (Integral transforms); C4160 (Numerical
integration and differentiation)",
corpsource = "Dept. of Inf. Sci., Fukui Univ., Japan",
keywords = "automatic integration procedure; Bessel function;
Bessel functions; Chebyshev expansion; efficient
automatic quadrature procedure; extrapolation; Fourier
integrals; Fourier series; Hankel transform; Hankel
transforms; infinite oscillatory integral; infinite
range integrals; integration; modified
W-transformation; oscillatory infinite integrals;
oscillatory kernels; real functions",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Thomas-Agnan:1996:CFR,
author = "Christine Thomas-Agnan",
title = "Computing a family of reproducing kernels for
statistical applications",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "1--2",
pages = "21--32",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "46N30 (46E22 65Dxx)",
MRnumber = "1 417 681",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Hempel:1996:IRR,
author = "Daniel Hempel",
title = "Isotropic refinement and recoarsening in two
dimensions",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "1--2",
pages = "33--43",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Wed Feb 7 07:37:21 MST 2001",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
ZMnumber = "861.65102",
}
@Article{Molina:1996:PBB,
author = "Brigida Molina and Marcos Raydan",
title = "Preconditioned {Barzilai--Borwein} method for the
numerical solution of partial differential equations",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "1--2",
pages = "45--60",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F10 (65F50 65Lxx 65Nxx)",
MRnumber = "1 417 682",
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)",
corpsource = "Dept. de Comput., Univ. Central de Venezuela, Caracas,
Venezuela",
keywords = "elliptic test problems; large sparse symmetric
positive definite linear systems; numerical analysis;
numerical solution; partial differential equations;
preconditioned Barzilai-Borwein method; preconditioning
techniques",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Pietrus:1996:GCM,
author = "Alain Pietrus",
title = "A globally convergent method for solving nonlinear
equations without the differentiability condition",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "1--2",
pages = "61--76",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65Hxx",
MRnumber = "1 417 683",
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); C4150 (Nonlinear and
functional equations)",
corpsource = "Dept. de Math., Poitiers Univ., France",
keywords = "convergence of numerical methods; differentiability
condition; eigenvalues and eigenfunctions; globally
convergent method; monotonically decreasing sequence;
nonlinear equations; nonsmooth analysis; one variable
Lipschitzian function; parameterized eigenvalue
problems",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Hietel:1996:CFD,
author = "Dietmar Hietel and Andreas Meister and Thomas Sonar",
title = "On the comparison of four different implementations of
a third-order {ENO} scheme of box type for the
computation of compressible flow",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "1--2",
pages = "77--105",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "76Mxx (65Dxx 65N40)",
MRnumber = "1 417 684",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "A0210 (Algebra, set theory, and graph theory); A0230
(Function theory, analysis); A0260 (Numerical
approximation and analysis); A0270 (Computational
techniques); A4740D (General subsonic flows); C4130
(Interpolation and function approximation); C4170
(Differential equations); C7320 (Physics and chemistry
computing)",
corpsource = "Fachbereich Math., Tech. Hochschule Darmstadt,
Germany",
keywords = "compressible flow; finite difference methods; finite
difference type implementations; finite volume
recovery; implicit time stepping; physics computing;
polynomials; preconditioned GMRES method; quadratic
polynomial recovery; third-order ENO scheme",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Gugat:1996:NDC,
author = "M. Gugat",
title = "The {Newton} differential correction algorithm for
rational {Chebyshev} approximation with constrained
denominators",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "1--2",
pages = "107--122",
month = "????",
year = "1996",
MRclass = "65Dxx (41A20)",
MRnumber = "1 417 685",
bibdate = "Tue Apr 29 08:51:10 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Varadhan:1996:ADS,
author = "Sowmini Varadhan and Michael W. Berry and Gene H.
Golub",
title = "Approximating dominant singular triplets of large
sparse matrices via modified moments",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "1--2",
pages = "123--152",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F50 (65F15 65Kxx)",
MRnumber = "1 417 686",
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 Comput. Sci., Tennessee Univ., Knoxville, TN,
USA",
keywords = "256-processor Cray T3D; ANSI-C implementation;
Chebyshev approximation; Chebyshev semi-iterative
method; deflation techniques; dominant singular
triplets; eigenvalues and eigenfunctions; eigenvectors;
equivalent eigensystems; equivalent sparse
eigensystems; large sparse matrices; modified moments;
parallel algorithms; parallel implementations; singular
value decomposition; sparse matrices; UNIX workstation
network",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Brass:1996:QAB,
author = "Helmut Brass",
title = "On the quality of algorithms based on spline
interpolation",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "3--4",
pages = "159--177",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (65D30)",
MRnumber = "98b:65012; 1 430 517",
MRreviewer = "S. Dubuc",
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); B0290F
(Interpolation and function approximation); C4110
(Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
corpsource = "Inst. fur Angewandte Math., Tech. Univ. Braunschweig,
Germany",
keywords = "error analysis; function values; interpolation;
numerical algorithm; quality; smallest possible error;
spline interpolation; splines (mathematics)",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Bini:1996:NCP,
author = "Dario Andrea Bini",
title = "Numerical computation of polynomial zeros by means of
{Aberth}'s method",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "3--4",
pages = "179--200",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65H05 (65Y20)",
MRnumber = "97k:65118; 1 430 518",
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 = "Dipartimento di Matematica, Pisa Univ., Italy",
keywords = "Aberth's method; floating point numbers; Fortran 77;
function approximation; poles and zeros; polynomial
zeros; polynomials; starting approximations",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Ciarlet:1996:DCP,
author = "P. {Ciarlet, Jr.} and F. Lamour",
title = "Does contraction preserve triangular meshes?",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "3--4",
pages = "201--223",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "05C10",
MRnumber = "1 430 519",
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); C4260
(Computational geometry)",
corpsource = "CEA, Centre d'Etudes de Limeil-Valenton, Villeneuve
St. Georges, France",
keywords = "computational geometry; contraction; embedding; graph
theory; triangular graph; triangular meshes;
triangularity",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Li:1996:ADT,
author = "Zi-Cai Li",
title = "Analysis of discrete techniques for image
transformation",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "3--4",
pages = "225--263",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65N15 (68U10)",
MRnumber = "1 430 520",
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); B6140C
(Optical information, image and video signal
processing); C1250 (Pattern recognition); C4110 (Error
analysis in numerical methods); C5260B (Computer vision
and image processing techniques)",
corpsource = "Dept. of Appl. Math., Nat. Sun Yat-Sen Univ.,
Kaohsiung, Taiwan",
keywords = "a priori error estimates; convergence of numerical
methods; convergence rates; CSIM; cycle conversion;
digital images; discrete techniques; error analysis;
harmonic transformation; image processing; image
transformation; nonlinear transformation; pattern
recognition; pixel greyness; splitting-integrating;
splitting-shooting",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Fiorot:1996:BAA,
author = "J.-C. Fiorot and P. Jeannin",
title = "A blossoming approach to accuracy of the degree
elevation process",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "3--4",
pages = "265--306",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D17 (41A10); 65D17 (41-XX)",
MRnumber = "97m:65035; 1 430 521",
MRreviewer = "Heinz H. Gonska",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "C4100 (Numerical analysis); C4260 (Computational
geometry)",
corpsource = "Valenciennes Univ., France",
keywords = "accuracy control; Bezier-De Casteljau curve;
blossoming; computational geometry; control polygons;
convergence; convergence of numerical methods; degree
elevation; degree elevation process; height elevation;
length elevation; patch; polar form",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Hermann:1996:SPT,
author = "Thomas Hermann",
title = "On the stability of polynomial transformations between
{Taylor}, {Bernstein} and {Hermite} forms",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "3--4",
pages = "307--320",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D17 (65F35)",
MRnumber = "97k:65046; 1 430 522",
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);
C4190 (Other numerical methods); C4260 (Computational
geometry)",
corpsource = "Geometric Modelling Lab., Comput. and Autom. Res.
Inst., Budapest, Hungary",
keywords = "Bernstein; computational geometry; exact asymptotic;
Hermite forms; numerical stability; polynomial
transformations; polynomials; stability; Taylor",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Bultheel:1996:CMP,
author = "A. Bultheel and P. Gonz{\'a}lez-Vera and E. Hendriksen
and O. Nj{\aa}stad",
title = "On the convergence of multipoint {Pad{\'e}}-type
approximants and quadrature formulas associated with
the unit circle",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "3--4",
pages = "321--344",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A17 (30E05); 41A20 (41A55 65D32)",
MRnumber = "97h:41029; 1 430 523",
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);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "Dept. of Comput. Sci., Katholieke Univ., Leuven,
Belgium",
keywords = "convergence; convergence of numerical methods;
function approximation; Herglotz-Riesz transform;
integration; multipoint; Pade-type approximants;
prescribed poles; quadrature formulas; rational
interpolants; unit circle",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Carnicer:1996:PLI,
author = "J. M. Carnicer and M. S. Floater",
title = "Piecewise linear interpolants to {Lagrange} and
{Hermite} convex scattered data",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "3--4",
pages = "345--364",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41Axx (65D05)",
MRnumber = "1 430 524",
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);
C4185 (Finite element analysis); C4260 (Computational
geometry)",
corpsource = "Dept. de Matematica Aplicada, Zaragoza Univ., Spain",
keywords = "algorithm theory; computational geometry; convex
bivariate scattered data; convex Hermite data
generation; convex Hermite interpolants; convex
Lagrange interpolants; Hermite convex scattered data;
infimum; interpolation; Lagrange convex scattered data;
mesh generation; numerical computation; piecewise
linear interpolants; piecewise-linear techniques;
supremum; tessellation; triangulation",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Chan:1996:CTM,
author = "Tony F. Chan and Jun Zou",
title = "A convergence theory of multilevel additive {Schwarz}
methods on unstructured meshes",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "3--4",
pages = "365--398",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65N30 (65F10)",
MRnumber = "1 430 525",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
classification = "B0290T (Finite element analysis); C4185 (Finite
element analysis); C4260 (Computational geometry)",
corpsource = "Dept. of Math., California Univ., Los Angeles, CA,
USA",
keywords = "coarse grids; completely local bounds; convergence of
numerical methods; convergence theory; elliptic
equations; elliptic problems; fine grids; global coarse
problem; local subproblems; mesh generation; mesh
sizes; multilevel additive Schwarz domain decomposition
methods; nonself-adjoint parabolic problems; optimal
condition numbers; parabolic equations; shape-regular
grids; subdomain overlap; subdomain sizes; symmetric
positive definite solvers; unstructured meshes",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Brezinski:1996:BR,
author = "C. Brezinski",
title = "Book Reviews",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "3--4",
pages = "399--404",
month = "????",
year = "1996",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html",
acknowledgement = ack-nhfb,
}
@Article{Dieci:1997:P,
author = "Luca Dieci and Don Estep and Eric Van de Velde",
title = "Preface",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "1--1",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Mon Sep 29 08:36:49 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
http://www.math.psu.edu/dna/contents/na.html",
URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/1/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/5/1/fulltext.pdf",
acknowledgement = ack-nhfb,
xxnote = "Check pages numbers: overlaps with
\cite{Ascher:1997:SID}.",
}
@Article{Ascher:1997:SID,
author = "Uri M. Ascher",
title = "Stabilization of invariants of discretized
differential systems",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "1--24",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L05 (34A09 34A45 65L20)",
MRnumber = "98d:65082",
MRreviewer = "Benedict J. Leimkuhler",
bibdate = "Mon Sep 29 08:36:49 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
http://www.math.psu.edu/dna/contents/na.html",
note = "Dynamical numerical analysis (Atlanta, GA, 1995).",
URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/2/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/5/2/fulltext.pdf",
acknowledgement = ack-nhfb,
xxnote = "Check pages numbers: overlaps with
\cite{Dieci:1997:P}.",
ZMnumber = "911.65058",
}
@Article{Beyn:1997:NAH,
author = "W.-J. Beyn and J.-M. Kleinkauf",
title = "Numerical approximation of homoclinic chaos",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "25--53",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "58Fxx (65Lxx)",
MRnumber = "1 456 494",
bibdate = "Mon Sep 29 08:36:49 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
http://www.math.psu.edu/dna/contents/na.html",
note = "Dynamical numerical analysis (Atlanta, GA, 1995).",
URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/3/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/5/3/fulltext.pdf",
acknowledgement = ack-nhfb,
xxauthor = "Uri M. Beyn and Don Kleinkauf",
}
@Article{Coomes:1997:LPS,
author = "Brian A. Coomes and H{\"u}seyin Ko{\c{c}}ak and
Kenneth J. Palmer",
title = "Long periodic shadowing",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "55--78",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "34Cxx (58Fxx 65L07)",
MRnumber = "1 456 495",
bibdate = "Mon Sep 29 08:36:49 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
http://www.math.psu.edu/dna/contents/na.html",
note = "Dynamical numerical analysis (Atlanta, GA, 1995).",
URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/4/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/5/4/fulltext.pdf",
acknowledgement = ack-nhfb,
}
@Article{Dieci:1997:LTN,
author = "Luca Dieci and Jens Lorenz",
title = "Lyapunov-type numbers and torus breakdown: numerical
aspects and a case study",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "79--102",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65Lxx (34Cxx 34Dxx 58Fxx)",
MRnumber = "1 456 496",
bibdate = "Mon Sep 29 08:36:49 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
http://www.math.psu.edu/dna/contents/na.html",
note = "Dynamical numerical analysis (Atlanta, GA, 1995).",
URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/5/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/5/5/fulltext.pdf",
acknowledgement = ack-nhfb,
}
@Article{Doedel:1997:SCL,
author = "E. J. Doedel and M. J. Friedman and B. I. Kunin",
title = "Successive continuation for locating connecting
orbits",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "103--124",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "34B15 (34Cxx 65J15)",
MRnumber = "1 456 497",
bibdate = "Mon Sep 29 08:36:49 MDT 2003",
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http://www.math.psu.edu/dna/contents/na.html",
note = "Dynamical numerical analysis (Atlanta, GA, 1995).",
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acknowledgement = ack-nhfb,
xxauthor = "Luca Doedel and Jens Friedman and Kenneth J. Kunin",
}
@Article{Johnson:1997:TDI,
author = "Mark E. Johnson and Michael S. Jolly and Ioannis G.
Kevrekidis",
title = "Two-dimensional invariant manifolds and global
bifurcations: some approximation and visualization
studies",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "125--140",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "58Fxx (34C23 34C30 65L06)",
MRnumber = "1 456 498",
bibdate = "Mon Sep 29 08:36:49 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
http://www.math.psu.edu/dna/contents/na.html",
note = "Dynamical numerical analysis (Atlanta, GA, 1995).",
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http://ipsapp007.kluweronline.com/content/getfile/5058/5/7/fulltext.pdf",
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}
@Article{Kloeden:1997:NSC,
author = "Peter E. Kloeden and Bj{\"o}rn Schmalfu{\ss}",
title = "Nonautonomous systems, cocycle attractors and variable
time-step discretization",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "141--152",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "58Fxx (34Cxx 34D45 65L05)",
MRnumber = "1 456 499",
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http://www.math.psu.edu/dna/contents/na.html",
note = "Dynamical numerical analysis (Atlanta, GA, 1995).",
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http://ipsapp007.kluweronline.com/content/getfile/5058/5/8/fulltext.pdf",
acknowledgement = ack-nhfb,
}
@Article{Lo:1997:LPT,
author = "Martin W. Lo",
title = "Libration point trajectory design",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "153--164",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "70F07 (70F15)",
MRnumber = "1 456 500",
bibdate = "Mon Sep 29 08:36:49 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
http://www.math.psu.edu/dna/contents/na.html",
note = "Dynamical numerical analysis (Atlanta, GA, 1995).",
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http://ipsapp007.kluweronline.com/content/getfile/5058/5/9/fulltext.pdf",
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}
@Article{Lyashenko:1997:SSG,
author = "Andrei A. Lyashenko",
title = "On the stability of the spectral {Galerkin}
approximation",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "165--178",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65Mxx",
MRnumber = "1 456 501",
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http://www.math.psu.edu/dna/contents/na.html",
note = "Dynamical numerical analysis (Atlanta, GA, 1995).",
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http://ipsapp007.kluweronline.com/content/getfile/5058/5/10/fulltext.pdf",
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}
@Article{Robinson:1997:CFI,
author = "James C. Robinson",
title = "Convergent families of inertial manifolds for
convergent approximations",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "179--188",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65Jxx (34Gxx 35B40 47Hxx 47N20 65Mxx)",
MRnumber = "1 456 502",
bibdate = "Mon Sep 29 08:36:49 MDT 2003",
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http://www.math.psu.edu/dna/contents/na.html",
note = "Dynamical numerical analysis (Atlanta, GA, 1995).",
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http://ipsapp007.kluweronline.com/content/getfile/5058/5/11/fulltext.pdf",
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}
@Article{Shardlow:1997:IML,
author = "Tony Shardlow",
title = "Inertial manifolds and linear multi-step methods",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "189--209",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65M06 (47H20)",
MRnumber = "1 456 503",
bibdate = "Mon Sep 29 08:36:49 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
http://www.math.psu.edu/dna/contents/na.html",
note = "Dynamical numerical analysis (Atlanta, GA, 1995).",
URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/12/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/5/12/fulltext.pdf",
acknowledgement = ack-nhfb,
}
@Article{Smiley:1997:NBS,
author = "M. W. Smiley",
title = "Numerical bifurcation and stability analysis for
steady-states of reaction diffusion equations",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "211--225",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "35J65 (35B32 65N30)",
MRnumber = "98d:35083",
bibdate = "Mon Sep 29 08:36:49 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
http://www.math.psu.edu/dna/contents/na.html",
note = "Dynamical numerical analysis (Atlanta, GA, 1995).",
URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/13/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/5/13/fulltext.pdf",
acknowledgement = ack-nhfb,
xxauthor = "Tony Smiley",
}
@Article{Stuart:1997:PDC,
author = "A. M. Stuart",
title = "Probabilistic and deterministic convergence proofs for
software for initial value problems",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "227--260",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L05 (34A45)",
MRnumber = "98d:65090",
MRreviewer = "Marco Marletta",
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http://www.math.psu.edu/dna/contents/na.html",
note = "Dynamical numerical analysis (Atlanta, GA, 1995).",
URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/14/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/5/14/fulltext.pdf",
acknowledgement = ack-nhfb,
xxauthor = "Tony Stuart",
}
@Article{Tovbis:1997:HCN,
author = "Alexander Tovbis",
title = "Homoclinic connections and numerical integration",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "1--3",
pages = "261--267",
month = mar,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "58F30 (34C37 58F15 65L99)",
MRnumber = "98c:58153",
MRreviewer = "Mark A. Peletier",
bibdate = "Mon Sep 29 08:36:49 MDT 2003",
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http://www.math.psu.edu/dna/contents/na.html",
note = "Dynamical numerical analysis (Atlanta, GA, 1995). See
erratum \cite{Tovbis:1998:EHC}.",
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http://ipsapp007.kluweronline.com/content/getfile/5058/5/15/fulltext.pdf",
acknowledgement = ack-nhfb,
}
@Article{Li:1997:IIM,
author = "Zhilin Li",
title = "Immersed interface methods for moving interface
problems",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "4",
pages = "269--293",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65M06 (65M30 80A22)",
MRnumber = "98c:65145",
MRreviewer = "Diego A. Murio",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
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http://www.math.psu.edu/dna/contents/na.html",
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http://ipsapp007.kluweronline.com/content/getfile/5058/6/1/fulltext.pdf",
acknowledgement = ack-nhfb,
}
@Article{Bai:1997:CTS,
author = "Zhong-Zhi Bai",
title = "A class of two-stage iterative methods for systems of
weakly nonlinear equations",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "4",
pages = "295--319",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65H10",
MRnumber = "98d:65068",
MRreviewer = "Tetsuro Yamamoto",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
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http://www.math.psu.edu/dna/contents/na.html",
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http://ipsapp007.kluweronline.com/content/getfile/5058/6/2/fulltext.pdf",
acknowledgement = ack-nhfb,
}
@Article{Draux:1997:RMP,
author = "Andr{\'e} Draux and Borhane Moalla",
title = "Rectangular matrix {Pad{\'e}} approximants and square
matrix orthogonal polynomials",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "4",
pages = "321--341",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A21 (42C05 65D15)",
MRnumber = "98d:41022",
MRreviewer = "A. J. Rodrigues",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
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http://www.math.psu.edu/dna/contents/na.html",
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http://ipsapp007.kluweronline.com/content/getfile/5058/6/3/fulltext.pdf",
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}
@Article{Nigro:1997:PSI,
author = "Abdelmalek Nigro and Pierre-Jean Laurent",
title = "Progressive stable interpolation",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "4",
pages = "343--359",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D05 (41A05)",
MRnumber = "98c:65013",
MRreviewer = "Mao Dong Ye",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
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http://www.math.psu.edu/dna/contents/na.html",
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http://ipsapp007.kluweronline.com/content/getfile/5058/6/4/fulltext.pdf",
acknowledgement = ack-nhfb,
}
@Article{Alouges:1997:MPP,
author = "Fran{\c{c}}ois Alouges and Philippe Loreaux",
title = "Massively parallel preconditioners for symmetric
positive definite linear systems",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "4",
pages = "361--375",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F35 (65F10 65Y05)",
MRnumber = "98c:65074",
MRreviewer = "Jin Yun Yuan",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
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http://www.math.psu.edu/dna/contents/na.html",
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http://ipsapp007.kluweronline.com/content/getfile/5058/6/5/fulltext.pdf",
acknowledgement = ack-nhfb,
}
@Article{Kobbelt:1997:SEB,
author = "Leif Kobbelt",
title = "Stable evaluation of box-splines",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "4",
pages = "377--382",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65D07 (41A15)",
MRnumber = "1 452 076",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
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http://www.math.psu.edu/dna/contents/na.html",
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http://ipsapp007.kluweronline.com/content/getfile/5058/6/6/fulltext.pdf",
acknowledgement = ack-nhfb,
}
@Article{Lawton:1997:CCQ,
author = "Wayne Lawton and Charles A. Micchelli",
title = "Construction of conjugate quadrature filters with
specified zeros",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "4",
pages = "383--399",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A15 (41A30 42C05 42C15)",
MRnumber = "1 452 077",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
http://www.math.psu.edu/dna/contents/na.html",
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http://ipsapp007.kluweronline.com/content/getfile/5058/6/8/fulltext.pdf",
acknowledgement = ack-nhfb,
}
@Article{Anonymous:1997:BR,
author = "Anonymous",
title = "Book reviews",
journal = j-NUMER-ALGORITHMS,
volume = "14",
number = "4",
pages = "401--403",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
http://www.math.psu.edu/dna/contents/na.html",
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http://ipsapp007.kluweronline.com/content/getfile/5058/6/7/fulltext.pdf",
acknowledgement = ack-nhfb,
}
@Article{Reif:1997:USA,
author = "Ulrich Reif",
title = "Uniform {$B$}-spline approximation in {Sobolev}
spaces",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "1",
pages = "1--14",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41A15 (41A29 41A65 65D07)",
MRnumber = "98d:41016",
MRreviewer = "Kairat T. Mynbaev",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
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http://www.math.psu.edu/dna/contents/na.html",
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http://ipsapp007.kluweronline.com/content/getfile/5058/30/1/fulltext.pdf",
acknowledgement = ack-nhfb,
}
@Article{Erra:1997:SSI,
author = "Robert Erra and Bernard Philippe",
title = "On some structured inverse eigenvalue problems",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "1",
pages = "15--35",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F15",
MRnumber = "98d:65046",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
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acknowledgement = ack-nhfb,
}
@Article{Fierro:1997:LRR,
author = "Ricardo D. Fierro and Per Christian Hansen",
title = "Low-rank revealing {UTV} decompositions",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "1",
pages = "37--55",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65F05 (65F30)",
MRnumber = "98d:65031",
MRreviewer = "A. Bultheel",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
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http://ipsapp007.kluweronline.com/content/getfile/5058/30/3/fulltext.pdf",
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}
@Article{Bini:1997:ICR,
author = "Dario Andrea Bini and Beatrice Meini",
title = "Improved cyclic reduction for solving queueing
problems",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "1",
pages = "57--74",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65U05 (60J10 60K25 65Fxx 90B22)",
MRnumber = "1 460 963",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
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http://www.math.psu.edu/dna/contents/na.html",
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http://ipsapp007.kluweronline.com/content/getfile/5058/30/4/fulltext.pdf",
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}
@Article{Kzaz:1997:GQA,
author = "M. Kzaz",
title = "{Gaussian} quadrature and acceleration of
convergence",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "1",
pages = "75--89",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65Dxx",
MRnumber = "1 460 964",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
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http://ipsapp007.kluweronline.com/content/getfile/5058/30/5/fulltext.pdf",
acknowledgement = ack-nhfb,
ZMnumber = "886.65019",
}
@Article{Gemignani:1997:CRI,
author = "Luca Gemignani",
title = "{Chebyshev} rational interpolation",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "1",
pages = "91--110",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "41Axx",
MRnumber = "1 460 965",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
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http://ipsapp007.kluweronline.com/content/getfile/5058/30/6/fulltext.pdf",
acknowledgement = ack-nhfb,
ZMnumber = "890.65009",
}
@Article{Arnold:1997:FCF,
author = "C. Arnold",
title = "Formal continued fractions solutions of the
generalized second order {Riccati} equations,
applications",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "1",
pages = "111--134",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65L99 (30B70 34A45 93B40)",
MRnumber = "98c:65141",
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http://www.math.psu.edu/dna/contents/na.html",
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http://ipsapp007.kluweronline.com/content/getfile/5058/30/7/fulltext.pdf",
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}
@Article{Brezinski:1997:BRa,
author = "Claude Brezinski",
title = "Book reviews",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "1",
pages = "135--137",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
bibdate = "Mon Sep 29 08:36:50 MDT 2003",
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http://www.math.psu.edu/dna/contents/na.html",
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http://ipsapp007.kluweronline.com/content/getfile/5058/30/8/fulltext.pdf",
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}
@Article{Anderson:1997:PAP,
author = "I. J. Anderson",
title = "A piecewise approach to piecewise approximation",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "2",
pages = "139--152",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
MRclass = "65Dxx (41Axx)",
MRnumber = "1 475 174",
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http://ipsapp007.kluweronline.com/content/getfile/5058/7/1/fulltext.pdf",
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}
@Article{Strauss:1997:IPP,
author = "Hans Strauss",
title = "On interpolation with products of positive definite
functions",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "2",
pages = "153--165",
month = dec,
year = "1997",
CODEN = "NUALEG",
ISSN = "1017-1398",
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@Article{Pestano-Gabino:1997:MPA,
author = "Celina Pestano-Gabino and Concepci{\'o}n
Gonz{\'a}lez-Concepci{\'o}n",
title = "Matrix {Pad{\'e}} approximation of rational
functions",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "2",
pages = "167--192",
month = dec,
year = "1997",
CODEN = "NUALEG",
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@Article{Dragan:1997:WCC,
author = "Vasile Dragan and Aristide Halanay and Adrian Stoica",
title = "Well-conditioned computation for {$H^\infty$}
controller near the optimum",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "2",
pages = "193--206",
month = dec,
year = "1997",
CODEN = "NUALEG",
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MRnumber = "1 475 177",
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}
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author = "N. M. Temme",
title = "Numerical algorithms for uniform {Airy-type}
asymptotic expansions",
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volume = "15",
number = "2",
pages = "207--225",
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year = "1997",
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}
@Article{Higham:1997:SIM,
author = "Nicholas J. Higham",
title = "Stable iterations for the matrix square root",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "2",
pages = "227--242",
month = dec,
year = "1997",
CODEN = "NUALEG",
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MRclass = "65F30 (65F05)",
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author = "C. Brezinski",
title = "Book reviews",
journal = j-NUMER-ALGORITHMS,
volume = "15",
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pages = "243--246",
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@Article{Graves-Morris:1997:LAL,
author = "P. R. Graves-Morris",
title = "A ``look-around {Lanczos}'' algorithm for solving a
system of linear equations",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "3--4",
pages = "247--274",
month = jan,
year = "1997",
CODEN = "NUALEG",
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MRclass = "65F10 (65B05 65F50)",
MRnumber = "98m:65042",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
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}
@Article{Benazzouz:1997:QST,
author = "A. Benazzouz",
title = "Quasilinear sequence transformations",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "3--4",
pages = "275--285",
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year = "1997",
CODEN = "NUALEG",
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MRclass = "65H05 (65F05)",
MRnumber = "1 605 660",
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@Article{Averbuch:1997:FDE,
author = "A. Averbuch and L. Vozovoi and M. Israeli",
title = "On a fast direct elliptic solver by a modified
{Fourier} method",
journal = j-NUMER-ALGORITHMS,
volume = "15",
number = "3--4",
pages = "287--313",
month = jan,
year = "1997",
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}
@Article{Bahi:1997:AMM,
author = "J. Bahi and J. C. Miellou and K. Rhofir",
title = "Asynchronous multisplitting methods for nonlinear
fixed point problems",
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number = "3--4",
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author = "Zhong-Zhi Bai",
title = "Parallel multisplitting two-stage iterative methods
for large sparse systems of weakly nonlinear
equations",
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volume = "15",
number = "3--4",
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author = "Pierre-Jean Laurent and Marie-Laurence Mazure and
Voichi{\c{t}}a Teodora Maxim",
title = "{Chebyshev} splines and shape parameters",
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volume = "15",
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author = "Guillaume All{\'e}on and Michele Benzi and Luc
Giraud",
title = "Sparse approximate inverse preconditioning for dense
linear systems arising in computational
electromagnetics.",
journal = j-NUMER-ALGORITHMS,
volume = "16",
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author = "B. Dumitrescu and M. Doreille and J.-L. Roch and D.
Trystram",
title = "Two-dimensional block partitionings for the parallel
sparse {Cholesky} factorization",
journal = j-NUMER-ALGORITHMS,
volume = "16",
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CODEN = "NUALEG",
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author = "J. P. Gregoire and C. Rose and B. Thomas",
title = "Direct and iterative solvers for finite-element
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volume = "16",
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author = "Vincent Heuveline and Bernard Philippe and Miloud
Sadkane",
title = "Parallel computation of spectral portrait of large
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journal = j-NUMER-ALGORITHMS,
volume = "16",
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author = "G{\'e}rard Meurant",
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volume = "16",
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author = "M. Mitrouli and C. Koukouvinos",
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MRclass = "15A21 (93Bxx)",
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author = "W. H. Enright and Min Hu",
title = "Improving performance when solving high-order and
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volume = "16",
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MRclass = "107--116 (1998). 65L10",
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