%%% -*-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)", %%% codetable = "ISO/ASCII", %%% keywords = "BibTeX, bibliography, Numerical Algorithms", %%% license = "public domain", %%% supported = "yes", %%% 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 %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== @Preamble{ "\ifx \dbar \undefined \def \dbar {\leavevmode\raise0.2ex\hbox{--}\kern-0.5emd} \fi" # "\ifx \Dbar \undefined \def \Dbar {\leavevmode\raise0.2ex\hbox{--}\kern-0.5emD} \fi" # "\ifx \k \undefined \let \k = \c \fi" # "\ifx \scr \undefined \let \scr = \cal \fi" # "\ifx \ssf \undefined \let \ssf = \sf \fi" # "\ifx \mathbb \undefined \def \mathbb #1{{\bf #1}}\fi" # "\ifx \mathcal \undefined \def \mathcal #1{{\cal #1}}\fi" } %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"} %%% ==================================================================== %%% 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)",