%%% -*-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)", acknowledgement = ack-nhfb, } @Article{Bosworth:1993:SSA, author = "Ken W. Bosworth and Upmanu Lall", title = "An ${L}_1$ smoothing spline algorithm with cross validation", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "407--417", month = nov, year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D07 (41A15)", MRnumber = "1 258 610", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for approximation, {III} (Oxford, 1992)", acknowledgement = ack-nhfb, } @Article{deFalco:1993:UAR, author = "D. {de Falco} and K. M. Frontini and L. Gotusso", title = "A unifying approach to the regularization of {Fourier} polynomials", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "419--424", month = nov, year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65T20 (42A10)", MRnumber = "95c:65229", MRreviewer = "V. M. Krasnopol\cprime sky", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for approximation, {III} (Oxford, 1992)", acknowledgement = ack-nhfb, xxauthor = "D. {de Falco} and M. Frontini and L. Gotusso", } @Article{Barone:1993:NEC, author = "Claudio Barone and Ezio Venturino", title = "On the numerical evaluation of {Cauchy} transforms", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "429--436", month = nov, year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D30 (65D05)", MRnumber = "1 258 612", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for approximation, {III} (Oxford, 1992)", acknowledgement = ack-nhfb, } @Article{Brutman:1993:AGA, author = "L. Brutman", title = "An application of the generalized alternating polynomials to the numerical solution of {Fredholm} integral equations", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "437--442", month = nov, year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65R20 (41A10)", MRnumber = "1 258 613", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for approximation, {III} (Oxford, 1992)", acknowledgement = ack-nhfb, } @Article{Dagnino:1993:ANI, author = "C. Dagnino and V. Demichelis and E. Santi", title = "An algorithm for numerical integration based on quasi-interpolating splines", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "443--452", month = nov, year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D30 (65D32)", MRnumber = "94k:65029", MRreviewer = "V. P. Madan", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for approximation, {III} (Oxford, 1992)", acknowledgement = ack-nhfb, } @Article{Tasche:1993:FAD, author = "Manfred Tasche", title = "Fast algorithms for discrete {Chebyshev--Vandermonde} transforms and applications", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "453--464", month = nov, year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65T99 (65D15)", MRnumber = "1 258 615", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for approximation, {III} (Oxford, 1992)", acknowledgement = ack-nhfb, } @Article{Butler:1993:ACD, author = "B. P. Butler and A. B. Forbes", title = "An algorithm for combining data sets having different frames of reference", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "467--477", month = "????", year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Wed Feb 07 07:53:41 2001", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, ZMnumber = "789.65005", } @Article{Ciarlini:1993:ASR, author = "P. Ciarlini and F. Pavese", title = "Application of special reduction procedures to metrological data", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "479--489", month = "????", year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Wed Feb 07 07:56:00 2001", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "See erratum \cite{Ciarlini:1995:EAS}.", acknowledgement = ack-nhfb, ZMnumber = "789.65105", } @Article{Cox:1993:ARN, author = "M. G. Cox and P. M. Harris and D. A. Humphreys", title = "An algorithm for the removal of noise and jitter in signals and its application to picosecond electrical measurement", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "491--508", month = "????", year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Wed Feb 07 07:57:06 2001", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, ZMnumber = "789.65099", } @Article{Drieschner:1993:CAD, author = "Rudolf Drieschner", title = "{Chebyshev} approximation to data by geometric elements", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "509--522", month = "????", year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Wed Feb 07 07:59:40 2001", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, ZMnumber = "799.65008", } @Article{Forbes:1993:GRP, author = "A. B. Forbes", title = "Generalized regression problems in metrology", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "523--533", month = "????", year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Wed Feb 07 08:00:22 2001", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, ZMnumber = "839.65155", } @Article{Helfrich:1993:TRM, author = "H.-P. Helfrich and D. Zwick", title = "A trust region method for implicit orthogonal distance regression", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "535--545", month = nov, year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "62J02", MRnumber = "1 258 616", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for approximation, {III} (Oxford, 1992)", acknowledgement = ack-nhfb, } @Article{Galligani:1993:SIC, author = "Emanuele Galligani", title = "${C}^1$ surface interpolation with constraints", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "549--555", month = nov, year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D05 (41A05 65K05)", MRnumber = "1 258 617", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for approximation, {III} (Oxford, 1992)", acknowledgement = ack-nhfb, } @Article{Hogervorst:1993:DPP, author = "Bas J. Hogervorst and Ruud van Damme", title = "Degenerate polynomial patches of degree $11$ for almost ${GC}^2$ interpolation over triangles", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "557--568", month = nov, year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D17 (41A05)", MRnumber = "1 258 618", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for approximation, {III} (Oxford, 1992)", acknowledgement = ack-nhfb, } @Article{Pfluger:1993:DSP, author = "P. R. Pfluger and M. Neamtu", title = "On degenerate surface patches", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "569--575", month = nov, year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D17 (41A63)", MRnumber = "1 258 619", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for approximation, {III} (Oxford, 1992)", acknowledgement = ack-nhfb, } @Article{Rippa:1993:SDI, author = "Shmuel Rippa", title = "Scattered data interpolation using minimum energy {Powell--Sabin} elements and data dependent triangulations", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "577--587", month = "????", year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Wed Feb 7 07:37:21 MST 2001", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, ZMnumber = "789.65003", } @Article{Grosse:1993:AVS, author = "Eric Grosse", title = "Approximation in {VLSI} simulation", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "591--601", month = nov, year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A15", MRnumber = "1 258 620", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for approximation, {III} (Oxford, 1992)", acknowledgement = ack-nhfb, } @Article{Model:1993:IPM, author = "R. Model and L. Trahms", title = "An inverse problem of magnetic source localization", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "603--610", month = nov, year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D10", MRnumber = "1 258 621", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for approximation, {III} (Oxford, 1992)", acknowledgement = ack-nhfb, } @Article{Potchinkov:1993:GMV, author = "A. Potchinkov and R. Reemtsen", title = "A globally most violated cutting plane method for complex minimax problems with application to digital filter design", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "611--620", month = nov, year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D15 (41A45 90C25 90C90)", MRnumber = "1 258 622", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for approximation, {III} (Oxford, 1992)", acknowledgement = ack-nhfb, } @Article{Sastry:1993:ACH, author = "Venkat V. S. S. Sastry", title = "Algorithms for the computation of {Hankel} functions of complex order", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "621--628", month = nov, year = "1993", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D15 (33C90)", MRnumber = "1 258 623", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for approximation, {III} (Oxford, 1992)", acknowledgement = ack-nhfb, } @Article{Hansen:1994:RTM, author = "Per Christian Hansen", title = "{REGULARIZATION TOOLS}: {A Matlab} package for analysis and solution of discrete ill-posed problems", journal = j-NUMER-ALGORITHMS, volume = "6", number = "1--2", pages = "1--35", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F30 (65F20)", MRnumber = "94k:65062", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C7310 (Mathematics)", corpsource = "Danish Comput. Center for Res. and Educ., Tech. Univ. Denmark, Lyngby, Denmark", keywords = "discrete ill-posed problems; Fredholm integral equations; linear algebra; linear equations; mathematics computing; Matlab package; regularization; REGULARIZATION TOOLS; software packages; stabilized solution", pubcountry = "Switzerland", treatment = "B Bibliography; T Theoretical or Mathematical", } @Article{Huang:1994:SCG, author = "Zhi Jian Huang", title = "The semilocal convergence of a generalization of {Brent}'s and {Brown}'s methods", journal = j-NUMER-ALGORITHMS, volume = "6", number = "1--2", pages = "37--62", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65H10", MRnumber = "95f:65107", MRreviewer = "Boro D{\"o}ring", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290K (Nonlinear and functional equations); C4110 (Error analysis in numerical methods); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Stat. and Oper. Res., Fudan Univ., Shanghai, China", keywords = "approximate Newton method; Brent's method; Brown's method; convergence of numerical methods; convergence theory; error analysis; Martinet's generalized method; nonlinear equations; semilocal convergence; semilocal convergence theorem", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Yakoubsohn:1994:AZA, author = "Jean-Claude Yakoubsohn", title = "Approximating the zeros of analytic functions by the exclusion algorithm", journal = j-NUMER-ALGORITHMS, volume = "6", number = "1--2", pages = "63--88", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65H10", MRnumber = "95g:65075", MRreviewer = "He Liang Tan", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Chan:1994:CPT, author = "Tony F. Chan and Julia A. Olkin", title = "Circulant preconditioners for {Toeplitz-block} matrices", journal = j-NUMER-ALGORITHMS, volume = "6", number = "1--2", pages = "89--101", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F35 (65F10)", MRnumber = "95f:65092", MRreviewer = "J. Rokne", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Baxter:1994:NEI, author = "B. J. C. Baxter and C. A. E. Micchelli", title = "Norm estimates for the $l^2$-inverses of multivariate {Toeplitz} matrices", journal = j-NUMER-ALGORITHMS, volume = "6", number = "1--2", pages = "103--117", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F35 (47B35)", MRnumber = "94k:65063", MRreviewer = "E. Kreyszig", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Allouche:1994:WDD, author = "H. Allouche and A. Cuyt", title = "Well-defined determinant representations for nonnormal multivariate rational interpolants", journal = j-NUMER-ALGORITHMS, volume = "6", number = "1--2", pages = "119--135", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D05 (41A05 41A63)", MRnumber = "94k:65012", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Allouche:1994:SRM, author = "H. Allouche and A. Cuyt", title = "Singular rules for a multivariate quotient-difference algorithm", journal = j-NUMER-ALGORITHMS, volume = "6", number = "1--2", pages = "137--168", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D05", MRnumber = "95f:65024", MRreviewer = "J. Kofro{\v{n}}", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Dedieu:1994:AOU, author = "J.-P. Dedieu and Ch. Favardin", title = "Algorithms for ordering unorganized points along parametrized curves", journal = j-NUMER-ALGORITHMS, volume = "6", number = "1--2", pages = "169--200", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D10 (65D15 65D17 65Y25)", MRnumber = "95c:65017", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory); C4260 (Computational geometry)", corpsource = "Lab. d'Anal. Numer., Univ. Paul Sabatier, Toulouse, France", keywords = "computational complexity; computational geometry; curve reconstruction; curvilinear abscissa; data point ordering; geometrical criteria; parametrization; parametrized curves; space complexity; unorganized points", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Elhay:1994:JMM, author = "Sylvan Elhay and Jaroslav Kautsky", title = "{Jacobi} matrices for measures modified by a rational factor", journal = j-NUMER-ALGORITHMS, volume = "6", number = "3--4", pages = "205--227", month = mar, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D30", MRnumber = "96b:65020", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Adelaide Univ., SA, Australia", keywords = "factoring method; Jacobi matrices; matrix algebra; minimal solution method; partial fraction decomposition; performance characteristics; polynomials; rational factor; summing technique", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Sidi:1994:CIR, author = "Avram Sidi", title = "Convergence of intermediate rows of minimal polynomial and reduced rank extrapolation tables", journal = j-NUMER-ALGORITHMS, volume = "6", number = "3--4", pages = "229--244", month = mar, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65B05 (41A21)", MRnumber = "96a:65008", MRreviewer = "Pierre Hillion", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Technion-Israel Inst. of Technol., Haifa, Israel", keywords = "convergence of intermediate rows; convergence of numerical methods; extrapolation; general inner product space; linear fixed point iterative technique; minimal polynomial; polynomials; reduced rank extrapolation tables; vector sequence", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Dodu:1994:IPA, author = "J. C. Dodu and T. Eve and M. Minoux", title = "Implementation of a proximal algorithm for linearly constrained nonsmooth optimization problems and computational results", journal = j-NUMER-ALGORITHMS, volume = "6", number = "3--4", pages = "245--273", month = mar, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "90C30 (49M40 49M40 90C25)", MRnumber = "96b:90082", MRreviewer = "Roxin Zhang", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", keywords = "convex optimization; convex programming; linearly constrained nonsmooth optimization problems; optimisation; proximal algorithm", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Amitai:1994:ACA, author = "Dganit Amitai and Amir Averbuch and Samuel Itzikowitz and Eli Turkel", title = "Asynchronous and corrected-asynchronous finite difference solutions of {PDEs} on {MIMD} multiprocessors", journal = j-NUMER-ALGORITHMS, volume = "6", number = "3--4", pages = "275--296", month = mar, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Y05 (65-04)", MRnumber = "1 323 809", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations); C5440 (Multiprocessor systems and techniques); C7310 (Mathematics)", corpsource = "Sch. of Math. Sci., Tel Aviv Univ., Israel", keywords = "computation flexibility; concurrent processes; Euler scheme; finite difference methods; finite difference schemes; finite difference solutions; mathematics computing; MIMD multiprocessors; multidimensional heat equation; parallel machines; partial differential equations; PDEs; shared-memory multiuser Sequent Balance machine; synchronisation; synchronization constraint", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Plonka:1994:OSP, author = "Gerlind Plonka", title = "Optimal shift parameters for periodic spline interpolation", journal = j-NUMER-ALGORITHMS, volume = "6", number = "3--4", pages = "297--316", month = mar, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D07 (41A15 65D05)", MRnumber = "96a:65015", MRreviewer = "Mao Dong Ye", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fachbereich Math., Rostock Univ., Germany", keywords = "exponential Euler spline; interpolation; optimal shift parameters; periodic spline interpolation; shifted interpolation nodes; splines (mathematics)", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Bellido:1994:CIF, author = "Anne-Mercedes Bellido", title = "Construction of iteration functions for the simultaneous computation of the solutions of equations and algebraic systems", journal = j-NUMER-ALGORITHMS, volume = "6", number = "3--4", pages = "317--351", month = mar, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65H10 (65F10)", MRnumber = "96d:65082", MRreviewer = "E. Kaucher", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lab. d'Anal. Numerique, Univ. Paul Sabatier, Toulouse, France", keywords = "algebraic systems; interpolation; iteration functions; local quadratic convergence; polynomials; simultaneous computation; univariate interpolation; Weierstrass function", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Ng:1994:FIM, author = "Michael K. Ng and Raymond H. Chan", title = "Fast iterative methods for least squares estimations", journal = j-NUMER-ALGORITHMS, volume = "6", number = "3--4", pages = "353--378", month = mar, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10 (65F20 93B30)", MRnumber = "96a:65045", MRreviewer = "Ching-Tsuan Pan", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B1270F (Digital filters); B6140 (Signal processing and detection); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C5240 (Digital filters)", corpsource = "Dept. of Math., Hong Kong Univ., Hong Kong", keywords = "conjugate gradient methods; digital filters; fast iterative methods; finite impulse response; least squares approximations; least squares estimations; matrix algebra; preconditioned conjugate gradient method; signal prediction; signal processing; stochastic process; system identification; Toeplitz matrix system", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Fiorot:1994:NCM, author = "Jean-Charles Fiorot and Pierre Jeannin and Salim Taleb", title = "New control massic polygon of a ${B}$-rational curve resulting from a homographic change of parameter", journal = j-NUMER-ALGORITHMS, volume = "6", number = "3--4", pages = "379--418", month = mar, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D17 (53A04)", MRnumber = "96d:65034", MRreviewer = "S. Dubuc", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods); C4240 (Programming and algorithm theory); C4260 (Computational geometry)", corpsource = "Lab. LIMAV, Valenciennes Univ., France", keywords = "affine parameter change; algorithm theory; B-rational curve; Bezier curves; CAD/CAM; CAGD; CAM; computational geometry; computer aided geometric design; control massic polygon; homographic parameter change; polynomials; PR-curves", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } %% Check ??: There is a serious discrepancy between the %% Editor-in-Chief's Web pages for volume 18(3--4) and the MathSciNet %% and Zentrallblatt databases, with many overlapping page numbers. I %% suspect that the EiC's data is wrong for this issue, since the other %% two agree. @Article{Bank:1994:CSB, author = "Randolph E. Bank and Tony F. Chan", title = "A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems", journal = j-NUMER-ALGORITHMS, volume = "7", number = "1", pages = "1--16", month = jun, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10", MRnumber = "95e:65025", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C1340Z (Other control systems); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., California Univ., San Diego, La Jolla, CA, USA", keywords = "associated Krylov subspaces; Composite Step BCG algorithm; composite step bi-conjugate gradient algorithm; conjugate gradient methods; Galerkin condition; Lanczos process; linear systems; natural generalization; nonsymmetric linear systems", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Chan:1994:CSC, author = "Tony F. Chan and Tedd Szeto", title = "A composite step conjugate gradients squared algorithm for solving nonsymmetric linear systems", journal = j-NUMER-ALGORITHMS, volume = "7", number = "1", pages = "17--32", month = jun, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10", MRnumber = "95e:65026", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", keywords = "CGS method; composite step conjugate gradients squared algorithm; conjugate gradient methods; convergence of numerical methods; convergence rate; matrix algebra; nonsymmetric linear systems; transpose matrix", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Brezinski:1994:TNB, author = "C. Brezinski and M. Redivo Zaglia", title = "Treatment of near-breakdown in the {CGS} algorithm", journal = j-NUMER-ALGORITHMS, volume = "7", number = "1", pages = "33--73", month = jun, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F05 (65F25)", MRnumber = "95b:65039", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Lab. d'Anal. Numerique et d'Optimisation, Univ. des Sci. et Tech. de Lille, Villeneuve d'Ascq, France", keywords = "CGS algorithm; conjugate gradient methods; conjugate gradient squared algorithm; convergence of numerical methods; error analysis; Lanczos method; linear equations; matrix algebra; near-breakdown; recurrence relation; rounding errors; scalar products; stable method; vectors", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Sleijpen:1994:OHB, author = "G. L. G. Sleijpen and H. A. {van der Vorst} and D. R. Fokkema", title = "${\rm {BiCGstab}}(l)$ and other hybrid {Bi-CG} methods", journal = j-NUMER-ALGORITHMS, volume = "7", number = "1", pages = "75--109", month = jun, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10", MRnumber = "95d:65030", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Math. Inst., Utrecht Univ., Netherlands", keywords = "Bi-CGSTAB; BiCGstab(l) method; CGS; conjugate gradient methods; convergence behaviour; convergence of numerical methods; hybrid Bi-CG methods; matrix algebra; numerical examples; polynomial methods", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Kenney:1994:HTI, author = "C. S. Kenney and A. J. Lamb", title = "A hyperbolic tangent identity and the geometry of {Pad{\'e}} sign function iterations", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "111--128", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D15 (65C20 93B40)", MRnumber = "1 283 092", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); B0290F (Interpolation and function approximation); B0290H (Linear algebra); C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Electr. and Comput. Eng., California Univ., Santa Barbara, CA, USA", keywords = "approximation theory; Cayley transform; chaotic iteration; completely regular iteration; convergence of numerical methods; geometry; global convergence; hyperbolic tangent identity; iterative methods; matrix algebra; multiplicative linear congruential random number generator; Pade iterations; Pade sign function iterations; random number generation; rational iterations; semi-group property", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", xxauthor = "C. S. Kenney and A. J. Laub", } @Article{Chesneaux:1994:ERS, author = "Jean-Marie Chesneaux", title = "The equality relations in scientific computing", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "129--143", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65G05", MRnumber = "1 283 093", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C5230 (Digital arithmetic methods); C7310 (Mathematics)", corpsource = "Lab. MASI, Univ. Pierre et Marie Curie, Paris, France", keywords = "arithmetic operators; digital arithmetic; equality relations; floating point arithmetic; floating point equality; Gaussian elimination; mathematics computing; ordering relations; pivoting column; round-off errors; roundoff errors; scientific computing; stochastic equality; stochastic numbers; zero element", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Mitrouli:1994:CMA, author = "M. Mitrouli and G. Kalogeropoulos", title = "A compound matrix algorithm for the computation of the {Smith} form of a polynomial matrix", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "145--159", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10 (15A21)", MRnumber = "1 283 094", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., Athens Univ., Greece", keywords = "exact reduction; matrix algebra; numerical method; p-compound matrices; polynomials; single-variable polynomial matrix; Smith canonical form", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Walz:1994:AEC, author = "Guido Walz", title = "Asymptotic expansions for classical and generalized divided differences including applications", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "161--171", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D10 (41A60)", MRnumber = "1 283 095", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Fakultat fur Math. und Inf., Mannheim Univ., Germany", keywords = "asymptotic expansions; differentiation; divided differences; extrapolation; extrapolation methods; function space; numerical differentiation; Polya space; polynomial; polynomials", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Dubrulle:1994:MQI, author = "Augustin A. Dubrulle and Gene H. Golub", title = "A multishift {QR} iteration without computation of the shifts", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "173--181", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10", MRnumber = "1 283 096", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Hewlett-Packard Labs., Palo Alto, CA, USA", keywords = "characteristic polynomial; convergence; convergence of numerical methods; Hessenberg matrix; matrix algebra; multishift QR iteration; polynomials; shift vector; trailing principal submatrix", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Hanke:1994:TAI, author = "Martin Hanke and James G. Nagy", title = "{Toeplitz} approximate inverse preconditioner for banded {Toeplitz} matrices", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "183--199", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10", MRnumber = "1 283 097", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. fur Praktische Math., Karlsruhe Univ., Germany", keywords = "banded Hermitian positive definite Toeplitz matrix; banded Toeplitz matrices; block Toeplitz matrices; conjugate gradient methods; convergence; convergence of numerical methods; eigenvalues; eigenvalues and eigenfunctions; matrix algebra; nonbanded Toeplitz matrices; nonHermitian Toeplitz matrices; numerical experiments; preconditioned conjugate gradient method; signal processing; Toeplitz approximate inverse preconditioner; two dimensional applications", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Dunham:1994:UAM, author = "Charles B. Dunham", title = "Uniform approximation by {McCallig} rationals", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "201--204", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A20 (65D15)", MRnumber = "95f:41026", MRreviewer = "Maurice Mignotte", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Univ. of Western Ontario, London, Ont., Canada", keywords = "characterization; density; discretization; function approximation; Mc Callig rationals; normalization condition; ordinary rational functions; uniform approximation; uniqueness", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Wright:1994:MSS, author = "R. Wright and J. Cash and G. Moore", title = "Mesh selection for stiff two-point boundary value problems", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "205--224", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L10", MRnumber = "1 283 099", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4180 (Integral equations); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Imperial Coll. of Sci., Technol. and Med., London, UK", keywords = "boundary-value problems; collocation code; COLSYS; error estimation; mesh generation; mesh selection algorithm of; stiff two-point boundary value problems", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Salam:1994:NCE, author = "A. Salam", title = "Non-commutative extrapolation algorithms", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "225--251", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "15A15 (65B05 65D05)", MRnumber = "95f:15004", MRreviewer = "W. Govaerts", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Lab. d'Anal. Numerique et d'Optimisation, Univ. des Sci. et Tech. de Lille Flandres Artois, Villeneuve d'Ascq, France", keywords = "algebra; Clifford algebras; designants; extrapolation; linear extrapolation methods; noncommutative extrapolation algorithms; noncommutative field; noncommutative unitary ring; Wynn's vector $\epsilon$-algorithm", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Sun:1994:CHI, author = "Xingping Sun", title = "Cardinal {Hermite} interpolation using positive definite functions", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "253--268", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A05 (05D05)", MRnumber = "96b:41009", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Southwest Missouri State Univ., Springfield, MO, USA", keywords = "cardinal Hermite interpolation; interpolation; multiquadrics; positive definite functions", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Keenan:1994:MMQ, author = "Philip T. Keenan", title = "Mixed methods on quadrilaterals and hexahedra", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "269--293", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N30 (53A45)", MRnumber = "95b:65136", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Dept. of Comput. and Appl. Math., Rice Univ., Houston, TX, USA", keywords = "differential geometry; divergence operator; finite element analysis; global bilinear transformation; hexahedra; hybrid formulation; mixed methods; nonlinear transformations; partial differential equations; quadrilaterals; rectangular grids; rectangular mesh; topologically regular problems", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Ciarlet:1994:RRB, author = "P. {Ciarlet, Jr.}", title = "Repeated {Red-Black} ordering: a new approach", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "295--324", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N30 (65F10)", MRnumber = "95e:65097", MRreviewer = "I. Norman Katz", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "CEA, Centre d'Etudes de Limeil-Valenton, Villeneuve St. Georges, France", keywords = "condition number; conjugate gradient methods; convergence; convergence of numerical methods; Dirichlet boundary conditions; discontinuous coefficients; finite element discretization; incomplete factorization; iterative method; periodic boundary conditions; Poisson equation; preconditioned conjugate gradient method; repeated Red-Black ordering; symmetric elliptic problems; symmetric positive definite linear systems", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Olszanskyj:1994:RMM, author = "Serge J. Olszanskyj and James M. Lebak and Adam W. Boja{\'n}czyk", title = "Rank-$k$ modification methods for recursive least squares problems", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "325--354", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65K05 (90C20)", MRnumber = "95b:65080", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA", keywords = "corrected semi-normal equations; Gram-Schmidt factorizations; ill-conditioned problems; least squares approximations; LINPACK; minimisation; numerical accuracy; numerical difficulties; rank-1 down dating methods; rank-k modification methods; rank-k updating; recursive least squares problems; serial execution timing results", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Oara:1994:PDS, author = "Cristian Oara", title = "Proper deflating subspaces: properties, algorithms and applications", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "355--373", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F30 (15A22 93B55)", MRnumber = "95f:65089", MRreviewer = "Vladimir B. Larin", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Control Eng., Univ. Politehnica Bucharest, Romania", keywords = "arbitrary matrix pencil; generalized algebraic Riccati equation; generalized Schur form; matrix algebra; proper deflating subspaces; stabilizing solution", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Hemmingsson:1994:FMS, author = "Lina Hemmingsson", title = "A fast modified sine transform for solving block-tridiagonal systems with {Toeplitz} blocks", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "375--389", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10", MRnumber = "95f:65069", MRreviewer = "Roland W. Freund", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Sci. Comput., Uppsala Univ., Sweden", keywords = "block-tridiagonal systems; fast modified sine transform; Fourier transform; Fourier transforms; matrix algebra; symmetry; Toeplitz blocks", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Merrien:1994:DHI, author = "Jean-Louis Merrien", title = "Dyadic {Hermite} interpolants on a triangulation", journal = j-NUMER-ALGORITHMS, volume = "7", number = "2--4", pages = "391--410", month = jul, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A05 (41A63 65D05)", MRnumber = "95c:41012", MRreviewer = "P. V{\'e}rtesi", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4260 (Computational geometry)", corpsource = "Lab. LANS, Inst. National des Sciences Appliqu{\'e}es (INSA), Rennes, France", keywords = "computational geometry; dyadic Hermite interpolants; matrices; polynomials; subdivision algorithm; triangulation", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Turcajova:1994:FCL, author = "Radka Turcajov{\'a}", title = "Factorizations and construction of linear phase paraunitary filter banks and higher multiplicity wavelets", journal = j-NUMER-ALGORITHMS, volume = "8", number = "1", pages = "1--25", month = "????", year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "94A11 (65F99 94A12)", MRnumber = "96a:94003", MRreviewer = "Gilbert Walter", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); B6140 (Signal processing and detection); C1260 (Information theory); C4190 (Other numerical methods)", corpsource = "Sch. of Inf. Sci., Flinders Univ., Adelaide, SA, Australia", keywords = "filtering and prediction theory; free parameters; linear factors; linear phase paraunitary filter banks; multiplicity wavelets; orthogonal matrices; paraunitary matrices; shift products; signal processing; symmetry constraints; wavelet transforms", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Turcajova:1994:SPF, author = "Radka Turcajov{\'a} and Jaroslav Kautsky", title = "Shift products and factorizations of wavelet matrices", journal = j-NUMER-ALGORITHMS, volume = "8", number = "1", pages = "27--45", month = "????", year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "94A11 (65F99 94A12)", MRnumber = "96a:94004", MRreviewer = "Gilbert Walter", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290Z (Other numerical methods); B6140 (Signal processing and detection); C1260 (Information theory); C4140 (Linear algebra); C4190 (Other numerical methods)", corpsource = "Sch. of Inf. Sci., Flinders Univ., Adelaide, SA, Australia", keywords = "arbitrary wavelet matrix; decompositions; discrete orthogonal wavelet transforms; factorizations; filtering and prediction theory; matrix algebra; orthogonal banded block circulant matrices; parameterization; paraunitary multirate filter banks; Pollen product; shift products; signal processing; wavelet matrices; wavelet transforms; zero columns", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Homeier:1994:HCI, author = "Herbert H. H. Homeier", title = "A hierarchically consistent, iterative sequence transformation", journal = j-NUMER-ALGORITHMS, volume = "8", number = "1", pages = "47--81", month = "????", year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65B10 (40A05 65B05)", MRnumber = "95i:65014", MRreviewer = "John H. McCabe", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. fur Phys. und Theor. Chem., Regensburg Univ., Germany", keywords = "convergence of numerical methods; E algorithm; extrapolation; hierarchically consistent iterative sequence transformation; iterative methods; nonlinear sequence transformation", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Espelid:1994:DAAa, author = "T. O. Espelid and K. J. Overholt", title = "{DQAINF}: an algorithm for automatic integration of infinite oscillating tails", journal = j-NUMER-ALGORITHMS, volume = "8", number = "1", pages = "83--101", month = "????", year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65-04 (65D30)", MRnumber = "1 299 076", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C7310 (Mathematics)", corpsource = "Dept. of Inf., Bergen Univ., Norway", keywords = "adaptive subdivision strategy; automatic integration; automatic quadrature routine; DQAINF; Euler transformation; extrapolation; FORTRAN; FORTRAN implementation; infinite oscillating tails; mathematics computing; periodic function; real functions; vector function", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Muhlbach:1994:MPI, author = "G. M{\"u}hlbach and M. Gasca", title = "Multivariate polynomial interpolation under projectivities. {III}. {Remainder} formulas", journal = j-NUMER-ALGORITHMS, volume = "8", number = "1", pages = "103--109", month = "????", year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D05 (41A05)", MRnumber = "95i:65025", MRreviewer = "Annie A. M. Cuyt", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Hannover Univ., Germany", keywords = "interpolation; knot sets; multivariate polynomial interpolation; polynomials; projectivities; remainder formulas; standard lower data sets", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Sun:1994:FEM, author = "Guang Fu Sun and Martin Stynes", title = "Finite element methods on piecewise equidistant meshes for interior turning point problems", journal = j-NUMER-ALGORITHMS, volume = "8", number = "1", pages = "111--129", month = "????", year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L60 (65L10)", MRnumber = "95f:65156", MRreviewer = "D. F. Mayers", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290T (Finite element analysis); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Univ. Coll. Cork, Ireland", keywords = "boundary-value problems; finite element analysis; finite element methods; Galerkin finite element methods; interior turning point problems; piecewise equidistant meshes; two-point boundary value problems; weighted energy norm", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Sun:1994:FTC, author = "Xingping Sun", title = "The fundamentality of translates of a continuous function on spheres", journal = j-NUMER-ALGORITHMS, volume = "8", number = "1", pages = "131--134", month = "????", year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A05", MRnumber = "96a:41005", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4190 (Other numerical methods); C4260 (Computational geometry)", corpsource = "Dept. of Math., Southwest Missouri State Univ., Springfield, MO, USA", keywords = "computational geometry; continuous function on spheres; Euclidean spaces; translates", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Watson:1994:LBA, author = "G. A. Watson", title = "Linear best approximation using a class of $k$-major $l_p$ norms", journal = j-NUMER-ALGORITHMS, volume = "8", number = "1", pages = "135--146", month = "????", year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A45 (41A65 65D15)", MRnumber = "95j:41038", MRreviewer = "Yong Ping Liu", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. and Comput. Sci., Dundee Univ., UK", keywords = "$k$-major $l_p$ norms; approximation theory; descent algorithm; linear best approximation; minimisation; minimization; piecewise smooth function", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Arge:1994:ASD, author = "Erlend Arge and Michael Floater", title = "Approximating scattered data with discontinuities", journal = j-NUMER-ALGORITHMS, volume = "8", number = "2--4", pages = "149--166", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D10", MRnumber = "95j:65010", MRreviewer = "Zuhe Shen", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Bialecki:1994:CRF, author = "Bernard Bialecki", title = "Cyclic reduction and {FACR} methods for piecewise {Hermite} bicubic orthogonal spline collocation", journal = j-NUMER-ALGORITHMS, volume = "8", number = "2--4", pages = "167--184", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N35 (65F99)", MRnumber = "1 309 219", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Kentucky Univ., Lexington, KY, USA", keywords = "boundary value problems; boundary-value problems; cyclic reduction; FACR; Fourier analysis-cyclic reduction; linear systems; orthogonal spline collocation; partial differential equations; piecewise Hermite bicubic; splines (mathematics)", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Zaslavsky:1994:NSP, author = "Boris G. Zaslavsky and Alexander Moskvin", title = "Numerical solution of positive control problem via linear programming", journal = j-NUMER-ALGORITHMS, volume = "8", number = "2--4", pages = "185--199", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "49M35 (65K10)", MRnumber = "95i:49055", MRreviewer = "John Gregory", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C1330 (Optimal control); C4130 (Interpolation and function approximation)", corpsource = "Agrophys. Res. Inst., St. Petersburg, Russia", keywords = "discrete-time control systems; iteration; iterative methods; iterative procedure; linear programming; positive control problem; reachability; reachability analysis; structural stability; time optimal control; time-invariant; time-optimal control", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Espelid:1994:DAAb, author = "Terje O. Espelid and Alan Genz", title = "{DECUHR}: an algorithm for automatic integration of singular functions over a hyperrectangular region", journal = j-NUMER-ALGORITHMS, volume = "8", number = "2--4", pages = "201--220", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65-04 (65D30)", MRnumber = "1 309 221", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Inf., Bergen Univ., Norway", keywords = "adaptive subdivision; automatic cubature algorithm; automatic integration; cubature; DECUHR; extrapolation; hyperrectangular region; integration; numerical stability; singular functions; stability; vector function", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Censor:1994:MAU, author = "Yair Censor and Tommy Elfving", title = "A multiprojection algorithm using {Bregman} projections in a product space", journal = j-NUMER-ALGORITHMS, volume = "8", number = "2--4", pages = "221--239", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "90C25 (90C30)", MRnumber = "95h:90093", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); B0260 (Optimisation techniques); C1160 (Combinatorial mathematics); C1180 (Optimisation techniques); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math. and Comput. Sci., Haifa Univ., Israel", keywords = "algorithm theory; Bregman projections; constraint handling; converges; convex sets; iterative step; linearly constrained optimization; multiprojection algorithm; optimisation; Pierra's product space; product space; set theory", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Golub:1994:EQF, author = "Gene H. Golub and Zden{\v{e}}k Strako{\v{s}}", title = "Estimates in quadratic formulas", journal = j-NUMER-ALGORITHMS, volume = "8", number = "2--4", pages = "241--268", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F30", MRnumber = "95j:65040", MRreviewer = "W. Govaerts", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4140 (Linear algebra); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Comput. Sci., Stanford Univ., CA, USA", keywords = "conjugate gradient process; eigenvalues and eigenfunctions; error analysis; estimates; integration; linear algebra; linear systems; matrix inverse; matrix inversion; quadratic formulas; quadrature formulas; real symmetric positive definite matrix; rounding errors", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Li:1994:AGS, author = "Kuiyuan Li and Tien-Yien Li and Zhong Gang Zeng", title = "An algorithm for the generalized symmetric tridiagonal eigenvalue problem", journal = j-NUMER-ALGORITHMS, volume = "8", number = "2--4", pages = "269--291", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F15 (15A18)", MRnumber = "95m:65063", MRreviewer = "J. Segethov{\'a}", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra); C4240P (Parallel programming and algorithm theory); C6110P (Parallel programming)", corpsource = "Dept. of Math. and Stat., Univ. of West Florida, Pensacola, FL, USA", keywords = "determinant evaluation; eigenvalue problem; eigenvalues and eigenfunctions; Laguerre's iteration; matrix pencil; multi-processor; parallel algorithm; parallel algorithms; partial spectrum; split-and-merge strategy; symmetric tridiagonal eigenvalue problem", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{vanderHouwen:1994:PAS, author = "P. J. {van der Houwen} and B. P. Sommeijer and W. A. {van der Veen}", title = "Parallelism across the steps in iterated {Runge--Kutta} methods for stiff initial value problems", journal = j-NUMER-ALGORITHMS, volume = "8", number = "2--4", pages = "293--312", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L05 (65Y05)", MRnumber = "95j:65072", MRreviewer = "Philip W. Sharp", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations); C4240P (Parallel programming and algorithm theory)", corpsource = "CWI, Amsterdam, Netherlands", keywords = "initial value problems; iterated Runge--Kutta methods; iterative methods; parallel algorithms; parallel integration; Radau IIA corrector; robust; Runge--Kutta methods; step-parallel iteration; stiff initial value problems", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Tokarzewski:1994:TPP, author = "Stanis{\l}aw Tokarzewski and Jerzy B{\l}awzdziewicz and Igor Andrianov", title = "Two-point {Pad{\'e}} approximants for formal {Stieltjes} series", journal = j-NUMER-ALGORITHMS, volume = "8", number = "2--4", pages = "313--328", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A21 (65D15 73K20 73V20)", MRnumber = "96g:41017", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Chan:1994:ASD, author = "Tony F. Chan and Jun Zou", title = "Additive {Schwarz} domain decomposition methods for elliptic problems on unstructured meshes", journal = j-NUMER-ALGORITHMS, volume = "8", number = "2--4", pages = "329--346", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N55 (65N30)", MRnumber = "95i:65174", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "See erratum \cite{Chan:1995:EAS}.", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290T (Finite element analysis); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", keywords = "additive Schwarz domain decomposition methods; convergence of numerical methods; elliptic equations; elliptic problems; finite element problems; global coarse mesh; mesh generation; optimal convergence; Schwarz domain decomposition methods; structured meshes; unstructured meshes", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Lee:1994:FPS, author = "Daeshik Lee", title = "Fast parallel solution of the {Poisson} equation on irregular domains", journal = j-NUMER-ALGORITHMS, volume = "8", number = "2--4", pages = "347--362", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N55 (65Y05)", MRnumber = "1 309 228", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations); C4240P (Parallel programming and algorithm theory)", corpsource = "Dept. of Inf. Eng., Hallym Univ., Chunchon, South Korea", keywords = "boundary-value problems; elliptic equations; embedding method; fast parallel solution; harmonic polynomial approximation; irregular domains; parallel algorithms; parallel method; Poisson equation; rapid elliptic solver", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Xue:1995:OPS, author = "Guo Liang Xue", title = "On an open problem in spherical facility location", journal = j-NUMER-ALGORITHMS, volume = "9", number = "1--2", pages = "1--12", month = may, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "90B80 (90C30)", MRnumber = "96c:90046", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for constrained approximation and optimization (Stowe, {VT}, 1993)", acknowledgement = ack-nhfb, classification = "C1290 (Applications of systems theory); C4190 (Other numerical methods); C4260 (Computational geometry)", conflocation = "Stowe, VT, USA; 23-26 May 1993", conftitle = "Workshop on Algorithms for Constrained Approximation and Optimization", corpsource = "Dept. of Comput. Sci. and Electr. Eng., Vermont Univ., Burlington, VT, USA", keywords = "computational geometry; convergence; convergence of numerical methods; descent algorithm; open problem; operations research; planar Euclidean facility location problem; spherical facility location", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Rogers:1995:PTM, author = "Jack W. {Rogers, Jr.}", title = "Potential transformation methods for large-scale constrained global optimization", journal = j-NUMER-ALGORITHMS, volume = "9", number = "1--2", pages = "13--24", month = may, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "90C30 (34A09 65K05 70F99)", MRnumber = "96d:90093", MRreviewer = "G. M. Ostrovsky", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for constrained approximation and optimization (Stowe, {VT}, 1993)", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C1200 (Systems theory and cybernetics)", conflocation = "Stowe, VT, USA; 23-26 May 1993", conftitle = "Workshop on Algorithms for Constrained Approximation and Optimization", corpsource = "Div. of Math., Auburn Univ., AL, USA", keywords = "constrained global optimization; constraint handling; constraint theory; global optimization; large-scale; low potential; optimisation; trajectories; transformation methods", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Kaufman:1995:OBA, author = "E. H. {Kaufman, Jr.} and D. J. Leeming and G. D. Taylor", title = "An {ODE}-based approach to nonlinearly constrained minimax problems", journal = j-NUMER-ALGORITHMS, volume = "9", number = "1--2", pages = "25--37", month = may, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "90C30 (49J35 65K05)", MRnumber = "96d:90089", bibdate = "Tue Apr 29 08:56:05 MDT 1997", note = "Algorithms for constrained approximation and optimization (Stowe, {VT}, 1993)", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4170 (Differential equations)", conflocation = "Stowe, VT, USA; 23-26 May 1993", conftitle = "Workshop on Algorithms for Constrained Approximation and Optimization", corpsource = "Dept. of Math., Central Michigan Univ., Mount Pleasant, MI, USA", keywords = "constraint handling; differential equations; line search; minimax techniques; nonlinear system; nonlinearly constrained minimax problems; ODE-based; ordinary differential equations; search direction", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Mason:1995:CNM, author = "J. C. Mason and G. H. Elliott", title = "Constrained near-minimax approximation by weighted expansion and interpolation using {Chebyshev} polynomials of the second, third, and fourth kinds", journal = j-NUMER-ALGORITHMS, volume = "9", number = "1--2", pages = "39--54", month = may, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D15", MRnumber = "96c:65019", MRreviewer = "Petru P. Blaga", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for constrained approximation and optimization (Stowe, {VT}, 1993)", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", conflocation = "Stowe, VT, USA; 23-26 May 1993", conftitle = "Workshop on Algorithms for Constrained Approximation and Optimization", corpsource = "Sch. of Comput. and Math., Univ. of Huddersfield, UK", keywords = "Chebyshev approximation; Chebyshev polynomials; constraint theory; expansion; interpolation; minimax approximation; minimax techniques; polynomials", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Healy:1995:RMA, author = "D. Healy and T. Olsen and J. Weaver", title = "Reduced motion artifacts in medical imaging by adaptive spatio-temporal reconstruction", journal = j-NUMER-ALGORITHMS, volume = "9", number = "1--2", pages = "55--84", month = may, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "A8745H (Haemodynamics, pneumodynamics); A8760I (Medical magnetic resonance imaging and spectroscopy); A8770E (Patient diagnostic methods and instrumentation); B7510B (Radiation and radioactivity applications in biomedicine); C5260B (Computer vision and image processing techniques); C7330 (Biology and medical computing)", conflocation = "Stowe, VT, USA; 23-26 May 1993", conftitle = "Workshop on Algorithms for Constrained Approximation and Optimization", corpsource = "Dept. of Math., Dartmouth Coll., Hanover, NH, USA", keywords = "adaptive spatio-temporal reconstruction; angiocardiography; angiography; biomedical NMR; blood flow; brain; coarse features reconstruction; computerised tomography; data acquisition; haemodynamics; heart imaging; lungs; medical imaging; motion imaging; MRI studies; oxygen usage; reduced motion artifacts; spatial-frequency data; X-ray CT", pubcountry = "Switzerland", treatment = "A Application; P Practical", xxauthor = "D. Healy and T. Olson and J. Weaver", } @Article{Bosworth:1995:LLW, author = "Ken W. Bosworth and Upmanu Lall", title = "{LOWLAD}: a locally weighted ${L}_1$ smoothing spline algorithm with cross validated choice of smoothing parameters", journal = j-NUMER-ALGORITHMS, volume = "9", number = "1--2", pages = "85--106", month = may, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D07", MRnumber = "96b:65010", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for constrained approximation and optimization (Stowe, {VT}, 1993)", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", conflocation = "Stowe, VT, USA; 23-26 May 1993", conftitle = "Workshop on Algorithms for Constrained Approximation and Optimization", corpsource = "Dept. of Math., Idaho State Univ., Pocatello, ID, USA", keywords = "algorithmic scheme; cross validated choice; least absolute deviations; locally weighted $L_1$ smoothing spline algorithm; locally windowed robust smoother; LOWLAD; nonparametric estimator; smoothing parameters; splines (mathematics)", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Gifford:1995:BAC, author = "David Gifford and Robert Huotari", title = "Best ${L}_1$ approximation by convex functions", journal = j-NUMER-ALGORITHMS, volume = "9", number = "1--2", pages = "107--111", month = may, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A29 (41A50)", MRnumber = "96c:41035", MRreviewer = "Zong Min Wu", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for constrained approximation and optimization (Stowe, {VT}, 1993)", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", conflocation = "Stowe, VT, USA; 23-26 May 1993", conftitle = "Workshop on Algorithms for Constrained Approximation and Optimization", corpsource = "Math. Dept., San Joaquin Delta College, Stockton, CA, USA", keywords = "approximation theory; best $L_1$ approximation; convex functions; splines (mathematics)", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Levin:1995:CPI, author = "David Levin and Edmond Nadler", title = "Convexity preserving interpolation by algebraic curves and surfaces", journal = j-NUMER-ALGORITHMS, volume = "9", number = "1--2", pages = "113--139", month = may, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D17 (53A05 65Y25)", MRnumber = "96c:65026", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for constrained approximation and optimization (Stowe, {VT}, 1993)", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation); C4260 (Computational geometry)", conflocation = "Stowe, VT, USA; 23-26 May 1993", conftitle = "Workshop on Algorithms for Constrained Approximation and Optimization", corpsource = "Sch. of Math. Sci., Tel Aviv Univ., Israel", keywords = "algebraic curves; computational geometry; conic sections; convex curve; convex polygon; convexity preserving interpolation; general Hermite-type problem; interpolation; l-parameter family; strictly convex data sets; surfaces; vertices", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Zhao:1995:BIS, author = "Kang Zhao", title = "Best interpolation in seminorm with convex constraints", journal = j-NUMER-ALGORITHMS, volume = "9", number = "1--2", pages = "141--156", month = may, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A65 (41A29 65D17)", MRnumber = "96d:41038", MRreviewer = "Abdallah M. Al-Rashed", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for constrained approximation and optimization (Stowe, {VT}, 1993)", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", conflocation = "Stowe, VT, USA; 23-26 May 1993", conftitle = "Workshop on Algorithms for Constrained Approximation and Optimization", corpsource = "Dept. of Math., Wisconsin Univ., Madison, WI, USA", keywords = "best interpolation; closed linear map; constrained best interpolation; constraint handling; convex constraints; explicit characterizations; Hilbert space; implicit characterizations; interpolation; projection; saddle function; saddle points; seminorm; unconstrained minimization problem; variational problem", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Wright:1995:SFD, author = "R. K. Wright", title = "Spline fitting discontinuous functions given just a few {Fourier} coefficients", journal = j-NUMER-ALGORITHMS, volume = "9", number = "1--2", pages = "157--169", month = may, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D07", MRnumber = "96a:65020", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for constrained approximation and optimization (Stowe, {VT}, 1993)", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", conflocation = "Stowe, VT, USA; 23-26 May 1993", conftitle = "Workshop on Algorithms for Constrained Approximation and Optimization", corpsource = "Dept. of Math. and Stat., Vermont Univ., Burlington, VT, USA", keywords = "approximation technique; direct $L_2$ approximation; discontinuities; Fourier coefficients; Fourier series; jump discontinuities; orthogonal projection; periodic functions; polynomial splines; polynomials; spline fitting discontinuous functions; spline space; splines (mathematics); trigonometric polynomials", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Helfrich:1995:TRA, author = "H.-P. Helfrich and D. Zwick", title = "Trust region algorithms for the nonlinear least distance problem", journal = j-NUMER-ALGORITHMS, volume = "9", number = "1--2", pages = "171--179", month = may, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "90C30 (65K05)", MRnumber = "97c:90107", MRreviewer = "Hans Melissen", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Algorithms for constrained approximation and optimization (Stowe, {VT}, 1993)", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C1180 (Optimisation techniques); C4260 (Computational geometry)", conflocation = "Stowe, VT, USA; 23-26 May 1993", conftitle = "Workshop on Algorithms for Constrained Approximation and Optimization", corpsource = "Math. Seminar der Landwirtschaftlichen Fac., Bonn Univ., Germany", keywords = "computational geometry; equality constrained optimization; fixed data point; global convergence; merit function; nonlinear least distance problem; objective function; optimisation; trust region algorithms", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Li:1995:SIM, author = "Zi Cai Li", title = "Splitting-integrating method for inverse transformation of $n$-dimensional digital images and patterns", journal = j-NUMER-ALGORITHMS, volume = "9", number = "3--4", pages = "181--198", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65R10", MRnumber = "96c:65205", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B6140C (Optical information, image and video signal processing); C1250 (Pattern recognition); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C5260B (Computer vision and image processing techniques)", corpsource = "Dept. of Appl. Math., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan", keywords = "$n$-dimensional digital images; approximate greyness solutions; binary images; digital patterns; error analysis; image greyness; image processing; interpolation; interpolations; inverse transformation; numerical analysis error bounds; pattern recognition; splitting-integrating method", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Gautschi:1995:WPR, author = "Walter Gautschi", title = "The work of {Philip Rabinowitz} on numerical integration", journal = j-NUMER-ALGORITHMS, volume = "9", number = "3--4", pages = "199--222", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65-03 (01A60 01A70 65D30)", MRnumber = "96e:65002", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Yakoubsohn:1995:UCC, author = "Jean-Claude Yakoubsohn", title = "A universal constant for the convergence of {Newton}'s method and an application to the classical homotopy method", journal = j-NUMER-ALGORITHMS, volume = "9", number = "3--4", pages = "223--244", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65H20 (65H10)", MRnumber = "96d:65092", MRreviewer = "W. C. Rheinboldt", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lab. d'Approximation et d'Optimisation, Univ. Paul Sabatier, Toulouse, France", keywords = "approximate zero; approximation theory; classical homotopy method; convergence of Newton's method; localization; Newton method; universal constant", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Steidl:1995:MAF, author = "Gabriele Steidl", title = "On multivariate attenuation factors", journal = j-NUMER-ALGORITHMS, volume = "9", number = "3--4", pages = "245--261", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65T20 (65D15)", MRnumber = "96a:65187", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Willemans:1995:NSF, author = "Karin Willemans and Paul Dierckx", title = "Nonnegative surface fitting with {Powell--Sabin} splines", journal = j-NUMER-ALGORITHMS, volume = "9", number = "3--4", pages = "263--276", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D17 (41A15)", MRnumber = "96e:65015", MRreviewer = "H. P. Dikshit", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Chui:1995:BIR, author = "C. K. Chui and T. X. He", title = "Bivariate interpolatory rational splines", journal = j-NUMER-ALGORITHMS, volume = "9", number = "3--4", pages = "277--291", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D07 (41A15 41A20)", MRnumber = "96d:65022", MRreviewer = "Dietrich Braess", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Prestin:1995:TIW, author = "J. Prestin and E. Quak", title = "Trigonometric interpolation and wavelet decompositions", journal = j-NUMER-ALGORITHMS, volume = "9", number = "3--4", pages = "293--317", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D05 (42C15 65D15)", MRnumber = "96c:65013", MRreviewer = "A. D. Booth", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Lee:1995:TNO, author = "David Lee and Henryk Wo{\'z}niakowski", title = "Testing nonlinear operators", journal = j-NUMER-ALGORITHMS, volume = "9", number = "3--4", pages = "319--342", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65J05 (47N40 65Y20)", MRnumber = "96f:65067", MRreviewer = "Stefan Heinrich", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Campos:1995:QFH, author = "R. G. Campos", title = "A quadrature formula for the {Hankel} transform", journal = j-NUMER-ALGORITHMS, volume = "9", number = "3--4", pages = "343--354", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A55 (42C05 65R10)", MRnumber = "96e:41033", MRreviewer = "V. I. Polovinkin", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Krajewski:1995:PSR, author = "W. Krajewski and A. Lepschy and M. Redivo Zaglia and U. Viaro", title = "A program for solving the ${L}_2$ reduced-order model problem with fixed denominator degree", journal = j-NUMER-ALGORITHMS, volume = "9", number = "3--4", pages = "355--377", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "93B40 (41A20 65F15 93B30)", MRnumber = "96c:93059", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C1220 (Simulation, modelling and identification); C1310 (Control system analysis and synthesis methods); C4130 (Interpolation and function approximation)", corpsource = "Syst. Res. Inst., Polish Acad. of Sci., Warsaw, Poland", keywords = "$L_2$ reduced-order model problem; approximation theory; fixed denominator degree; iterative numerical algorithm; necessary conditions; optimal rational transfer matrix; reduced order systems; standard MATLAB functions", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Gonzalez-Concepcion:1995:AIT, author = "C. Gonz{\'a}lez-Concepci{\'o}n and V. Cano Fern{\'a}ndez and C. Gil Fari{\~n}a", title = "The $\epsilon$-algorithm for the identification of a transfer-function model: some applications", journal = j-NUMER-ALGORITHMS, volume = "9", number = "3--4", pages = "379--395", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "93E12 (62M10 65D15)", MRnumber = "96c:93148", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C1220 (Simulation, modelling and identification); C1310 (Control system analysis and synthesis methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Appl. Econ., Univ. de La Laguna, Tenerife, Spain", keywords = "$\epsilon$-algorithm; approximation theory; ARMA models; autoregressive moving average processes; lag structure; numerical analysis; polynomial orders; rational approximation; sales series M; simulated model; transfer functions; transfer-function model identification", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", xxauthor = "C. {Gonzalez Concepcion} and V. {Cano Fernandez} and C. {Gil Farina}", } @Article{Chan:1995:EAS, author = "Tony F. Chan and Jun Zou", title = "Erratum to: {``Additive Schwarz domain decomposition methods for elliptic problems on unstructured meshes'' [Numer. Algorithms {\bf 8} (1994), no. 2--4, 329--346, MR 95i:65174]}", journal = j-NUMER-ALGORITHMS, volume = "9", number = "3--4", pages = "397--397", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N30 (65N55)", MRnumber = "1 339 729", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "See \cite{Chan:1994:ASD}.", acknowledgement = ack-nhfb, } @Article{Anonymous:1995:BR, author = "Anonymous", title = "Book reviews", journal = j-NUMER-ALGORITHMS, volume = "9", number = "3--4", pages = "399--406", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Baszenski:1995:CAB, author = "G{\"u}nter Baszenski and Franz-J{\"u}rgen Delvos", title = "Computational aspects of {Boolean} cubature", journal = j-NUMER-ALGORITHMS, volume = "10", number = "1--2", pages = "1--11", month = jul, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D32", MRnumber = "96h:65038", MRreviewer = "M. I. Israilov", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Special functions (Torino, 1993)", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4210 (Formal logic)", conflocation = "Torino, Italy; 14-15 Oct. 1993", conftitle = "International Joint Symposium on Special Functions and Artificial Intelligence", corpsource = "FB Nachrichtentech., Fachhochschule Dortmund, Germany", keywords = "Boolean cubature; Boolean functions; Boolean midpoint sums; computational aspects; d-variate Boolean midpoint rules; d-variate Boolean trapezoidal rules; integration; interpolation; interpolation methods; Korobov classes; lattice rules; multiple numerical integration; multivariate quadrature rules; periodic functions", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Carlson:1995:NCR, author = "B. C. Carlson", title = "Numerical computation of real or complex elliptic integrals", journal = j-NUMER-ALGORITHMS, volume = "10", number = "1--2", pages = "13--26", month = jul, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "33Exx (33-04 65D20)", MRnumber = "1 345 407", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Special functions (Torino, 1993)", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", conflocation = "Torino, Italy; 14-15 Oct. 1993", conftitle = "International Joint Symposium on Special Functions and Artificial Intelligence", corpsource = "Ames Lab., Iowa State Univ., Ames, IA, USA", keywords = "Bulirsch's integrals; complex elliptic integrals; complex values; consistency checks; elliptic equations; integral equations; Legendre's integrals; numerical analysis; numerical check values; numerical computation algorithms; real elliptic integrals", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Gori:1995:EHT, author = "Laura Gori and Elisabetta Santi", title = "On the evaluation of {Hilbert} transforms by means of a particular class of {Tur{\'a}n} quadrature rules", journal = j-NUMER-ALGORITHMS, volume = "10", number = "1--2", pages = "27--39", month = jul, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D32 (65R10)", MRnumber = "96f:65030", MRreviewer = "A. J. Rodrigues", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Special functions (Torino, 1993)", acknowledgement = ack-nhfb, classification = "B0230 (Integral transforms); B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); B0290Z (Other numerical methods); C1130 (Integral transforms); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation); C4190 (Other numerical methods)", conflocation = "Torino, Italy; 14-15 Oct. 1993", conftitle = "International Joint Symposium on Special Functions and Artificial Intelligence", corpsource = "Dipartimento di Metodi e Modelli Matematici per le Sci. Applicate, Rome Univ., Italy", keywords = "Cauchy principle value integrals; error analysis; generalized Gegenbauer weights; Hilbert transforms; Hilbert transforms evaluation; integration; integration formulas; multiple nodes; node multiplicity independence; precision degree independence; remainder term; Turan quadrature rules; weight functions", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Hunter:1995:ELF, author = "D. B. Hunter", title = "The evaluation of {Legendre} functions of the second kind", journal = j-NUMER-ALGORITHMS, volume = "10", number = "1--2", pages = "41--49", month = jul, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "33C45 (65D20)", MRnumber = "96i:33017", MRreviewer = "J. P. Singhal", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Special functions (Torino, 1993)", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", conflocation = "Torino, Italy; 14-15 Oct. 1993", conftitle = "International Joint Symposium on Special Functions and Artificial Intelligence", corpsource = "Dept. of Math., Bradford Univ., UK", keywords = "error analysis; Heine's integral representation; Legendre functions; Legendre polynomials; numerical results; trapezoidal rule", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Iserles:1995:ERB, author = "Arieh Iserles and Syvert P. N{\o}rsett", title = "Explicit representations of biorthogonal polynomials", journal = j-NUMER-ALGORITHMS, volume = "10", number = "1--2", pages = "51--67", month = jul, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "33C70", MRnumber = "96g:33022", MRreviewer = "Kazuhiro Hikami", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Special functions (Torino, 1993)", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", conflocation = "Torino, Italy; 14-15 Oct. 1993", conftitle = "International Joint Symposium on Special Functions and Artificial Intelligence", corpsource = "Dept. of Appl. Math. and Theor. Phys., Cambridge Univ., UK", keywords = "biorthogonal polynomials; explicit representations; generalized hypergeometric function; linear differential equation; Mobius maps; parametrised weight function; polynomials", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Lorentzen:1995:CLP, author = "Lisa Lorentzen", title = "Computation of limit periodic continued fractions. {A} survey", journal = j-NUMER-ALGORITHMS, volume = "10", number = "1--2", pages = "69--111", month = jul, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "40A15 (30B70 39A10)", MRnumber = "97c:40001", MRreviewer = "H.-J. Runckel", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Special functions (Torino, 1993)", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); B0290 (Numerical analysis); C1110 (Algebra); C4100 (Numerical analysis)", conflocation = "Torino, Italy; 14-15 Oct. 1993", conftitle = "International Joint Symposium on Special Functions and Artificial Intelligence", corpsource = "Div. of Math. Sci., Trondheim Univ., Norway", keywords = "algebra; algorithms; asymptotic expansions; convergence; convergence of numerical methods; limit periodic continued fraction computation; reviews; tail values", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Mastroianni:1995:GCF, author = "G. Mastroianni", title = "Generalized {Christoffel} functions and error of positive quadrature", journal = j-NUMER-ALGORITHMS, volume = "10", number = "1--2", pages = "113--126", month = jul, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A05 (41A55)", MRnumber = "96h:41003", MRreviewer = "A. J. Rodrigues", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Special functions (Torino, 1993)", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", conflocation = "Torino, Italy; 14-15 Oct. 1993", conftitle = "International Joint Symposium on Special Functions and Artificial Intelligence", corpsource = "Dipartimento de Matematica, Basilicata Univ., Potenza, Italy", keywords = "Ditzian-Totik generalized weight; error estimate; Gauss quadrature formula; generalized Christoffel functions; lower bounds; polynomials; positive quadrature error; upper bounds; weighted norm", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Milovanovic:1995:SSG, author = "Gradimir V. Milovanovi{\'c}", title = "Summation of series and {Gaussian} quadratures. {II}", journal = j-NUMER-ALGORITHMS, volume = "10", number = "1--2", pages = "127--136", month = jul, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D32 (30E20 40A25)", MRnumber = "96f:65031", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Special functions (Torino, 1993)", acknowledgement = ack-nhfb, classification = "C1120 (Mathematical analysis); C4160 (Numerical integration and differentiation)", conflocation = "Torino, Italy; 14-15 Oct. 1993", conftitle = "International Joint Symposium on Special Functions and Artificial Intelligence", corpsource = "Fac. of Electron. Eng., Nis Univ., Serbia", keywords = "complex slowly convergent series; Gaussian quadratures; hyperbolic weight; integration; Laplace transform method; rational function; Riemann zeta function; series (mathematics); series summation; summation/integration procedure; weighted integral", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Montaner:1995:FDT, author = "J. M. Montaner and M. Alfaro", title = "On five-diagonal {Toeplitz} matrices and orthogonal polynomials on the unit circle", journal = j-NUMER-ALGORITHMS, volume = "10", number = "1--2", pages = "137--153", month = jul, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "42C05 (15A57)", MRnumber = "97a:42021", MRreviewer = "Paolo Emilio Ricci", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Special functions (Torino, 1993)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", conflocation = "Torino, Italy; 14-15 Oct. 1993", conftitle = "International Joint Symposium on Special Functions and Artificial Intelligence", corpsource = "Dept. de Matematica Aplicada, Zaragoza Univ., Spain", keywords = "five diagonal matrix factorization; five diagonal Toeplitz matrices; five-diagonal Toeplitz matrices; functional equations; Lebesgue moment functional; matrix polynomials; orthogonal polynomials; polynomials; quasi definite moment functionals; Toeplitz matrices; trigonometric polynomials; unit circle", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Cecchi:1995:RAM, author = "M. Morandi Cecchi and E. Pirozzi", title = "A recursive algorithm by the moments method to evaluate a class of numerical integrals over an infinite interval", journal = j-NUMER-ALGORITHMS, volume = "10", number = "1--2", pages = "155--165", month = jul, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D30", MRnumber = "96g:65031", MRreviewer = "Klaus-J{\"u}rgen F{\"o}rster", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Special functions (Torino, 1993)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4180 (Integral equations); C4210 (Formal logic)", conflocation = "Torino, Italy; 14-15 Oct. 1993", conftitle = "International Joint Symposium on Special Functions and Artificial Intelligence", corpsource = "Dipartimento di Matematica Pura e Applicata, Padova Univ., Italy", keywords = "function space; functional; infinite interval; integral equations; Laguerre polynomials; method of moments; moments method; numerical integrals; polynomial space; polynomials; recursive algorithm; recursive functions; three term recursive formula; zeros", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Notaris:1995:SPG, author = "Sotirios E. Notaris", title = "{Stieltjes} polynomials and {Gauss--Kronrod} quadrature formulae for measures induced by {Chebyshev} polynomials", journal = j-NUMER-ALGORITHMS, volume = "10", number = "1--2", pages = "167--186", month = jul, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "33C45 (65D32)", MRnumber = "96j:33008", MRreviewer = "V. L. Makarov", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Special functions (Torino, 1993)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", conflocation = "Torino, Italy; 14-15 Oct. 1993", conftitle = "International Joint Symposium on Special Functions and Artificial Intelligence", keywords = "Chebyshev approximation; Chebyshev measure; Chebyshev measures; Chebyshev polynomials; exactness; explicit formulae; Gauss Kronrod quadrature formulae; Gauss-Kronrod quadrature formulae; inclusion property; integration; nonnegative measure; orthogonal polynomial; orthogonal polynomials; polynomials; quadrature weights; Stieltjes polynomials; three term recurrence relation; zeros", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Petras:1995:GIC, author = "Knut Petras", title = "{Gaussian} integration of {Chebyshev} polynomials and analytic functions", journal = j-NUMER-ALGORITHMS, volume = "10", number = "1--2", pages = "187--202", month = jul, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D30 (41A55)", MRnumber = "96d:65046", MRreviewer = "Petru P. Blaga", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Special functions (Torino, 1993)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4240C (Computational complexity)", conflocation = "Torino, Italy; 14-15 Oct. 1993", conftitle = "International Joint Symposium on Special Functions and Artificial Intelligence", corpsource = "Inst. fur Angewandte Math., Tech. Univ. Braunschweig, Germany", keywords = "analytic functions; Chebyshev approximation; Chebyshev polynomials; computational complexity; ellipse; error constants; explicit bounds; Gaussian integration; integration; kernel function; nth Gauss Legendre quadrature rule; polynomials; quadrature error", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Sleijpen:1995:MCP, author = "G{\`e}rard L. G. Sleijpen and Henk A. {van der Vorst}", title = "Maintaining convergence properties of {BiCGstab} methods in finite precision arithmetic", journal = j-NUMER-ALGORITHMS, volume = "10", number = "3--4", pages = "203--223", month = oct, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10 (65Y20)", MRnumber = "96g:65037", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4240C (Computational complexity)", corpsource = "Math. Inst., Utrecht Univ., Netherlands", keywords = "Bi-CG coefficient accuracy; Bi-CG iteration coefficients; Bi-CG process; BiCGstab methods; computational complexity; conjugate gradient methods; convergence of numerical methods; convergence property maintenance; convergence speed; finite precision arithmetic; hybrid methods; matrix algebra; rounding errors; roundoff errors", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Bojanczyk:1995:SAG, author = "Adam W. Boja{\'n}czyk and Richard P. Brent and Frank R. {de Hoog}", title = "Stability analysis of a general {Toeplitz} systems solver", journal = j-NUMER-ALGORITHMS, volume = "10", number = "3--4", pages = "225--244", month = oct, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F05 (15A06)", MRnumber = "97e:65031", MRreviewer = "Jean-Marie Chesneaux", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4240C (Computational complexity)", corpsource = "Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA", keywords = "computational complexity; fast algorithm; full-rank Hankel least squares problem; full-rank Toeplitz least squares problem; general Toeplitz systems solver; Hankel matrices; Hankel matrix; least squares approximations; nonsingular Hankel linear system; numerical stability; QR factorization; semi-normal equations; stability analysis; Toeplitz matrices; Toeplitz matrix; weakly stable method", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Yan:1995:MMD, author = "Xiao Pu Yan", title = "Multistep methods for differential algebraic equations", journal = j-NUMER-ALGORITHMS, volume = "10", number = "3--4", pages = "245--260", month = oct, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L05 (65L20)", MRnumber = "96g:65067", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); B0290F (Interpolation and function approximation); B0290P (Differential equations); C1110 (Algebra); C4130 (Interpolation and function approximation); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math. and Stat., Pittsburgh Univ., PA, USA", keywords = "computability; convergence of numerical methods; convergence proof; differential algebraic equations; iterative method; iterative methods; multistep methods; nonlinear algebraic equations; nonlinear differential equations; solvability proof; theorem proving", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Bartholomew-Biggs:1995:UMI, author = "M. C. Bartholomew-Biggs and S. Zakovic", title = "Using {Markov}'s interval arithmetic to evaluate {Bessel--Riccati} functions", journal = j-NUMER-ALGORITHMS, volume = "10", number = "3--4", pages = "261--287", month = oct, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65G10 (65D20)", MRnumber = "96i:65035", MRreviewer = "John P. Coleman", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290M (Numerical integration and differentiation); C4140 (Linear algebra); C4160 (Numerical integration and differentiation)", corpsource = "Numerical Optimisation Centre, Hertfordshire Univ., Hatfield, UK", keywords = "automatic differentiation; Bessel functions; Bessel-Ricatti functions; differentiation; extended interval arithmetic; FORTRAN; Fortran 90 implementations; hand-coded derivatives; Hansen's methods; Markov processes; Markov's interval arithmetic; monotonicity of functions; Riccati equations; Taylor series remainder", pubcountry = "Switzerland", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bultheel:1995:FOP, author = "Adhemar Bultheel and Marc Van Barel", title = "Formal orthogonal polynomials and {Hankel\slash Toeplitz} duality", journal = j-NUMER-ALGORITHMS, volume = "10", number = "3--4", pages = "289--335", month = oct, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "42C05 (65D30)", MRnumber = "96m:42039", MRreviewer = "Olav Nj{\aa}stad", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Katholieke Univ., Leuven, Belgium", keywords = "iterative methods; polynomials; Toeplitz matrices; formal orthogonal polynomials; Hankel/Toeplitz duality; positive measure; moment matrix; positive definite; recurrence relation; coupled Szeg{\"o} recurrence relation; arbitrary moment matrix; Pade approximation; Krylov subspace iterative methods", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Paszkowski:1995:QHS, author = "S. Paszkowski", title = "Quasipower and hypergeometric series---construction and evaluation", journal = j-NUMER-ALGORITHMS, volume = "10", number = "3--4", pages = "337--361", month = oct, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A58 (33-04 65B99)", MRnumber = "96k:41042", MRreviewer = "Walter Schempp", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290Z (Other numerical methods); C4130 (Interpolation and function approximation); C4190 (Other numerical methods)", corpsource = "Inst. for Low Temp. and Structure Res., Polish Acad. of Sci., Wroclaw, Poland", keywords = "approximation theory; Euler's dilogarithm; Hermite-Pade approximation; hypergeometric series; Levin's transforms; Pade approximants; power series; quasipower; recurrence relations; series (mathematics); transforms", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Lui:1995:HMN, author = "S. H. Lui and G. H. Golub", title = "Homotopy method for the numerical solution of the eigenvalue problem of self-adjoint partial differential operators", journal = j-NUMER-ALGORITHMS, volume = "10", number = "3--4", pages = "363--378", month = oct, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N25", MRnumber = "96g:65108", MRreviewer = "S. F. McCormick", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math., Hong Kong Univ. of Sci. and Technol., Kowloon, Hong Kong", keywords = "eigenvalues and eigenfunctions; iterative methods; partial differential equations; Homotopy method; numerical solution; eigenvalue problem; self-adjoint partial differential operators; discrete approximation; eigenvectors; Rayleigh quotient iteration; iterative solver; low-rank perturbation; Schr{\"o}dinger eigenvalue problem", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Choi:1995:DPD, author = "Jaeyoung Choi and Jack J. Dongarra and David W. Walker", title = "The design of a parallel dense linear algebra software library: reduction to {Hessenberg}, tridiagonal, and bidiagonal form", journal = j-NUMER-ALGORITHMS, volume = "10", number = "3--4", pages = "379--399", month = oct, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65-04 (65Y10)", MRnumber = "1 355 739", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra); C6110B (Software engineering techniques); C6115 (Programming support); C7310 (Mathematics computing)", corpsource = "Dept. of Comput. Sci., Tennessee Univ., Knoxville, TN, USA", keywords = "Basic Linear Algebra Communication Subprograms; bidiagonal form; BLACS; dense linear algebra computations; distributed memory concurrent computers; eigenproblems; eigenvalues and eigenfunctions; Hessenberg form; LAPACK routine; linear algebra; mathematics computing; matrices; matrix reduction algorithms; parallel BLAS; parallel dense linear algebra software library; ScaLAPACK; sequencing BLAS; software engineering; software libraries; tridiagonal form", pubcountry = "Switzerland", treatment = "A Application; P Practical", } @Article{Levesley:1995:CKB, author = "J. Levesley", title = "Convolution kernels based on thin-plate splines", journal = j-NUMER-ALGORITHMS, volume = "10", number = "3--4", pages = "401--419", month = oct, year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A30 (41A63 65D07)", MRnumber = "96g:41023", MRreviewer = "Peter Alfeld", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C1230D (Neural nets); C1260 (Information theory); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. and Comput. Sci., Leicester Univ., UK", keywords = "convolution; convolution kernels; feedforward neural nets; kernels; positive even integer; quasi-interpolation; radial basis functions; series expansions; space dimensions; spatial dimension; splines (mathematics); thin-plate splines", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Ciarlini:1995:EAS, author = "P. Ciarlini and F. Pavese", title = "Erratum to {``Application of special reduction procedures to metrological data'' [Numer. Algorithms {\bf 5} (1993), no. 1--4, 479--489]}", journal = j-NUMER-ALGORITHMS, volume = "10", number = "3--4", pages = "421--421", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Wed Feb 07 07:55:43 2001", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "See \cite{Ciarlini:1993:ASR}.", acknowledgement = ack-nhfb, ZMnumber = "836.65157", } @Article{Beckermann:1996:SCF, author = "Bernhard Beckermann", title = "The stable computation of formal orthogonal polynomials", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "1--23", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Dxx", MRnumber = "1 383 373", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Univ. des Sci. et Tech. de Lille Flandres Artois, Villeneuve d'Ascq, France", keywords = "basis polynomials; Cabay-Meleshko algorithm; classical three term recurrence; error analysis; finite precision arithmetic; formal orthogonal polynomials; Hankel matrix; Lanczos algorithm; look-ahead generalization; numerical orthogonality; numerically computing pairs; polynomial combinations; polynomials; stability; stability parameters; stable computation", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", xxtitle = "The stable computation of orthogonal polynomials", } @Article{Brezinski:1996:ALF, author = "C. Brezinski and P. Maroni", title = "The algebra of linear functionals on polynomials, with applications to {Pad{\'e}} approximation", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "25--33", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "42C05 (41A21)", MRnumber = "97b:42037", bibdate = "Wed Feb 7 07:37:21 MST 2001", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Lab. d'Anal. Numer. et d'Opt., Univ. des Sci. et Tech. de Lille Flandres Artois, Villeneuve d'Ascq, France", keywords = "algebra; approximation theory; complex polynomials; functional equations; linear algebra; linear functionals; orthogonal polynomials; Pade approximation; polynomials; relative error; vector space; vectors", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", ZMnumber = "862.42016", } @Article{Brezinski:1996:LAS, author = "C. Brezinski and M. Redivo-Zaglia", title = "A look-ahead strategy for the implementation of some old and new extrapolation methods", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "35--55", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65B05 (65B10)", MRnumber = "97b:65004", MRreviewer = "Horst Hollatz", bibdate = "Wed Feb 7 07:37:21 MST 2001", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Lab. d'Analyse Number. et d'Opt., Univ. des Sci. et Tech. de Lille Flandres Artois, Villeneuve d'Ascq, France", keywords = "$\epsilon$-algorithm; algorithm breakdown avoidance; algorithm theory; badly computed polynomials; biorthogonal polynomials; convergence acceleration; extrapolation; extrapolation methods; formal orthogonal polynomials; G-transformation; Lanczos-based methods; linear equation systems; look-ahead strategy; nonexistent polynomial jumping; numerical stability; polynomials; sequence transformations; sequences; Shanks transformation", pubcountry = "Switzerland", treatment = "P Practical; T Theoretical or Mathematical", ZMnumber = "851.65002", } @Article{Bultheel:1996:ORF, author = "A. Bultheel and P. Gonz{\'a}lez-Vera and E. Hendriksen and O. Nj{\aa}stad", title = "Orthogonal rational functions and modified approximants", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "57--69", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A20 (30E05 42C05)", MRnumber = "97a:41016", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Dept. of Comput. Sci., Katholieke Univ., Leuven, Belgium", keywords = "associated functions; complex plane; conjugates; function approximation; Hermitian inner product; modified approximants; modified Pade-type approximants; moment problem; open unit disk; orthogonal rational functions; orthonormal sequence; orthonormalization; positive Borel measure; positive-definite; unit circle", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Butcher:1996:OPP, author = "J. C. Butcher", title = "Orthogonal polynomials, {Pad{\'e}} approximations and ${A}$-stability", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "71--78", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L06", MRnumber = "96m:65072", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Dept. of Math., Auckland Univ., New Zealand", keywords = "A-stability; approximation theory; exponential function; function approximation; Gauss-Legendre formulas; implicit Runge--Kutta methods; integration; numerical stability; orthogonal polynomials; Pade approximations; Pade table diagonal; Pade table subdiagonals; polynomials; quadrature formulas; Runge--Kutta methods; stability functions", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Calvetti:1996:HIM, author = "D. Calvetti and L. Reichel", title = "A hybrid iterative method for symmetric positive definite linear systems", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "79--98", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10", MRnumber = "96m:65033", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Dept. of Pure and Appl. Math., Stevens Inst. of Technol., Hoboken, NJ, USA", keywords = "approximate solution; conjugate gradient method; conjugate gradient methods; eigenvalues and eigenfunctions; equations; extreme eigenvalues; hybrid iterative method; interval; iteration parameters; iterative methods; large sparse symmetric positive definite matrix; matrix algebra; Richardson iteration; symmetric positive definite linear equation systems", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Chesneaux:1996:BNB, author = "Jean-Marie Chesneaux and Ana C. Matos", title = "Breakdown and near-breakdown control in the {CGS} algorithm using stochastic arithmetic", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "99--116", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10 (65F25 65G05)", MRnumber = "96m:65034", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory); C5230 (Digital arithmetic methods)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "CNRS, Univ. Pierre et Marie Curie, Paris, France", keywords = "algorithm theory; approximation theory; breakdown control; conjugate gradient methods; conjugate-gradient-squared method; denominator; efficient breakdown detection; floating point arithmetic; formal orthogonal polynomials; intermediate results accuracy estimation; Lanczos methods; near-breakdown; ordering relations; polynomial coefficients; polynomials; residuals sequence; round-off errors; roundoff errors; scalar product ratio; stochastic arithmetic; stochastic processes", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Craviotto:1996:CSF, author = "Cathleen M. Craviotto and William B. Jones and W. J. Thron and Nancy J. Wyshinski", title = "Computation of special functions by {Pad{\'e}} approximants with orthogonal polynomial denominators", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "117--141", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Dxx (30B70 30E10 33C45 41A21)", MRnumber = "1 383 380", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Dept. of Math. Sci., Northern Colorado Univ., Greeley, CO, USA", keywords = "complex domain; continued fractions; error analysis; function approximation; infinite sequence truncation; Laurent polynomials; nonnegative T-fractions; numerical roundoff; orthogonal polynomial denominators; Pade approximants; physics; polynomials; real J-fractions; rigorous error bounds; roundoff errors; significant decimal digits; special functions computation; Stieltjes fractions", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Draux:1996:FOP, author = "Andr{\'e} Draux", title = "Formal orthogonal polynomials revisited. {Applications}", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "143--158", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "26C99 (65F15)", MRnumber = "97b:26012", MRreviewer = "Dimitar Kolev Dimitrov", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Dept. de Genie Math., Inst. Nat. des Sci. Appliqu{\'e}es de Rouen, Mont-Saint-Aignan, France", keywords = "eigenvalues; eigenvalues and eigenfunctions; formal orthogonal polynomials; G algorithm; generalized adjacent polynomials; Hankel matrices; Hankel matrix; Lanczos methods; polynomial matrices; singular blocks; weight function", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Emad:1996:PRR, author = "Nahid Emad", title = "The {Pad{\'e}-Rayleigh-Ritz} method for solving large {Hermitian} eigenproblems", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "159--179", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F15 (15A18 65Y05)", MRnumber = "97b:65043", MRreviewer = "M. Znojil", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4240P (Parallel programming and algorithm theory)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Lab. PRiSM, Univ. Versailles St-Quentin, France", keywords = "approximation theory; eigenvalues and eigenfunctions; Hermitian matrices; Krylov sequence; Krylov subspace methods; Lanczos methods; large hermitian eigenproblems; large hermitian matrix; massively parallel machines; matrix multiplication; matrix-vector multiplications; minimum polynomial; numerical stability; Pade approximant; Pade approximants; Pade-Rayleigh-Ritz method; parallel computing; parallel processing; polynomials; projection methods; Rayleigh-Ritz methods; Ritz values; roots of the polynomial; sparse matrices", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Fischer:1996:NCG, author = "Bernd Fischer and Martin Hanke and Marlis Hochbruck", title = "A note on conjugate-gradient type methods for indefinite and\slash or inconsistent linear systems", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "181--187", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10", MRnumber = "96m:65037", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Inst. fur Math., Medizinische Univ. zu Lubeck, Germany", keywords = "conjugate gradient methods; conjugate-gradient type methods; inconsistent linear systems; indefinite linear systems; induced norm minimization; inner product space; interpolation; matrix algebra; polynomials; residual polynomials; symmetric linear systems", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Graves-Morris:1996:NAA, author = "P. R. Graves-Morris", title = "A new approach to acceleration of convergence of a sequence of vectors", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "189--201", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65B05 (65F10)", MRnumber = "97d:65002", MRreviewer = "Jan Z{\'i}tko", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Dept. of Math., Bradford Univ., UK", keywords = "accelerator; approximation theory; convergence of numerical methods; extrapolation; numerical difficulties; polynomial; polynomials; positivity property; VEA; vector $\epsilon$-algorithm; vector epsilon table; vector Pade approximant; vector sequence convergence acceleration; vectors", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Hanke:1996:AOP, author = "Martin Hanke", title = "Asymptotics of orthogonal polynomials and the numerical solution of ill-posed problems", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "203--214", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65J20", MRnumber = "96m:65065", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Inst. fur Praktische Math., Karlsruhe Univ., Germany", keywords = "Christoffel functions; conjugate gradient method; conjugate gradient methods; convergence rate; extremal zeros; fast decreasing polynomials; ill-posed problems; iterative methods; Lommel polynomials; numerical algorithms; numerical stability; orthogonal polynomial asymptotics; polynomials; Tricomi-Carlitz polynomials; uniform bounds; weight function; zeros of orthogonal polynomials", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Iserles:1996:BPR, author = "Arieh Iserles", title = "Biorthogonal polynomials: {Recent} developments", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "215--228", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "42C05", MRnumber = "97d:42019", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Dept. of Appl. Math. and Theor. Phys., Cambridge Univ., UK", keywords = "biorthogonal polynomials; functional relationship; generalized hypergeometric functions; Mobius quotient functions; MQFs; parametrized Borel measures; poles and zeros; polynomial transformations; polynomials; weight function", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Kiesel:1996:NKP, author = "Harry Kiesel and Jet Wimp", title = "A note on {Koornwinder}'s polynomials with weight function $(1-x)^\alpha(1+x)^\beta+{M}\delta(x+1)+{N}\delta(x-1)$", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "229--241", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "33C45", MRnumber = "97a:33020", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4240C (Computational complexity)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Dept. of Math. and Comput. Sci., Drexel Univ., Philadelphia, PA, USA", keywords = "coefficients; computational complexity; explicit expressions; Jacobi polynomials; Koornwinder polynomials; linear functional; polynomials; three term recurrence relation; weight function", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Maroni:1996:RFD, author = "P. Maroni", title = "On a regular form defined by a pseudo-function", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "243--254", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "42C05", MRnumber = "97b:42044", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Lab. d'Anal. Numerique, Univ. Pierre et Marie Curie, Paris, France", keywords = "Chebyshev approximation; Legendre form; Legendre polynomials; orthogonal polynomials; pseudo function; recurrence coefficients; regular form; Stieltjes functions", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Matos:1996:SCR, author = "Ana C. Matos", title = "Some convergence results for the generalized {Pad{\'e}}-type approximants", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "255--269", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A21 (42C10)", MRnumber = "96m:41021", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Lab. d'Anal. Numerique et d'Opt., Univ. des Sci. et Tech. de Lille Flandres Artois, Villeneuve d'Ascq, France", keywords = "convergence of numerical methods; convergence results; generalized Pade type approximants; generating function; Hermite interpolation; interpolation; interpolatory functionals; Lagrange; linear functional; orthogonal expansions; series (mathematics)", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Monegato:1996:SNI, author = "Giovanni Monegato", title = "A stable {Nystr{\"o}m} interpolant for some {Mellin} convolution equations", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "271--283", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65R20 (45L05)", MRnumber = "97b:65150", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Dipartimento di Matematica, Politecnico di Torino, Italy", keywords = "integral equations; integration; interpolation; numerical stability; polynomials; stable Nystr{\"o}m interpolant; Mellin convolution equations; second kind integral equations; product quadrature rule; Lagrange polynomial; Gauss-Radau nodes; stability; convergence estimates", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Cecchi:1996:MBM, author = "M. Morandi Cecchi and E. {Di Nardo}", title = "The modified bordering method to evaluate eigenvalues and eigenvectors of normal matrices", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "285--309", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Fxx", MRnumber = "1 383 391", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4240C (Computational complexity)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Dipartimento di Matematica Pura e Applicata, Padova Univ., Italy", keywords = "computational complexity; computational cost; eigensystem; eigenvalues; eigenvalues and eigenfunctions; eigenvectors; Hermitian matrices; matrix decomposition; modified bordering method; modified Brent algorithm; nonsymmetric matrices; normal matrices; polynomial roots; polynomials; principal minor; quasi symmetric matrices; recursive formulas; spectral decomposition", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Norsett:1996:DOP, author = "Syvert P. N{\o}rsett and Bente {\O}stig{\aa}rd", title = "Dual-orthogonal polynomials", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "311--326", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "42C05", MRnumber = "97c:42045", MRreviewer = "A. Bultheel", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Dept. of Math. Sci., Norwegian Inst. of Technol., Trondheim, Norway", keywords = "dual orthogonal polynomial sequence; dual orthogonal polynomials; existence theorems; explicit formulae; Gauss type quadrature formula; generalized polynomials; integration; poles and zeros; polynomials; sequences; vector spaces; zeros", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Salam:1996:AAV, author = "A. Salam", title = "An algebraic approach to the vector $\epsilon$-algorithm", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "327--337", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65B05 (15A66)", MRnumber = "97a:65007", MRreviewer = "Thomas A. Atchison", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1994)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "Lab. de Math. Appl., Littoral Univ., Calais, France", keywords = "algebraic approach; Clifford algebra; Clifford group; extrapolation; extrapolation algorithms; group theory; pseudo inverse; scalar $\epsilon$-algorithm; vector $\epsilon$-algorithm; vectors", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{VanIseghem:1996:AFG, author = "Jeannette {Van Iseghem} and Peter R. Graves-Morris", title = "Approximation of a function given by its {Laurent} series", journal = j-NUMER-ALGORITHMS, volume = "11", number = "1--4", pages = "339--351", month = mar, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "30E10 (41A17)", MRnumber = "96m:30057", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", note = "Orthogonal polynomials and numerical analysis (Luminy, 1995)", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation)", conflocation = "Luminy, France; 5-10 Sept. 1994", conftitle = "Orthogonal Polynomials and Numerical Analysis", corpsource = "UFR de Math., Lille I Univ., Villeneuve d'Ascq, France", keywords = "annulus; denominators; function approximation; holomorphic function; Laurent series; meromorphic; numerators; poles; polynomials; qualitative properties; recurrence relation; reverse orthogonal polynomials; series (mathematics)", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Grimme:1996:MRS, author = "E. J. Grimme and D. C. Sorensen and P. {Van Dooren}", title = "Model reduction of state space systems via an implicitly restarted {Lanczos} method", journal = j-NUMER-ALGORITHMS, volume = "12", number = "1--2", pages = "1--31", month = apr, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F15 (65G05)", MRnumber = "1 423 546", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C1310 (Control system analysis and synthesis methods); C1340B (Multivariable control systems); C4140 (Linear algebra)", corpsource = "Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA", keywords = "eigenvalues; eigenvalues and eigenfunctions; implicit restarting; implicitly restarted Lanczos method; Lanczos generated model; large scale systems; large-scale systems; model reduction technique; nonsymmetric Lanczos method; reduced order systems; SISO; state space systems; state-space methods; unexpensive implicit restarts; unstable partial realization", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Gallivan:1996:RLA, author = "K. Gallivan and E. Grimme and P. {Van Dooren}", title = "A rational {Lanczos} algorithm for model reduction", journal = j-NUMER-ALGORITHMS, volume = "12", number = "1--2", pages = "33--63", month = apr, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F15 (65G05)", MRnumber = "1 423 547", bibdate = "Wed Feb 7 07:37:21 MST 2001", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C1310 (Control system analysis and synthesis methods); C1340B (Multivariable control systems); C4130 (Interpolation and function approximation)", corpsource = "Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA", keywords = "convergence; exact expression; interpolant; interpolation; Lanczos type approach; large scale linear systems; large-scale systems; model reduction method; multi point Pade approximant; nonsymmetric Lanczos method; rational interpolant; rational interpolation; rational Lanczos; rational Lanczos algorithm; rational Lanczos method; reduced order systems; single point Lanczos approaches; state space systems; state-space methods", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", ZMnumber = "870.65053", } @Article{Arioli:1996:CEA, author = "M. Arioli and H. Munthe-Kaas and L. Valdettaro", title = "Componentwise error analysis for {FFT}s with applications to fast {Helmholtz} solvers", journal = j-NUMER-ALGORITHMS, volume = "12", number = "1--2", pages = "65--88", month = apr, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Txx", MRnumber = "1 423 548", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4140 (Linear algebra); C4170 (Differential equations); C4190 (Other numerical methods)", corpsource = "Istituto di Analisi Numerica, CNR, Pavia, Italy", keywords = "algorithmic error; classical fast Helmholtz equation solvers; componentwise error analysis; Cooley-Tukey algorithm; error analysis; error matrix; exact arithmetic; fast Fourier transform; fast Fourier transforms; fast Helmholtz solvers; faster Fourier transform; FFTs; Helmholtz equations; infinity norm; matrix algebra; max norm error; optimal bounds; rounding errors; roundoff errors; sequence length; statistical error analysis; theoretical upper bounds; tight upper bounds; turbulence; worst case analysis", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Pan:1996:MFF, author = "K. Pan", title = "On the method of finding frequencies with large amplitudes", journal = j-NUMER-ALGORITHMS, volume = "12", number = "1--2", pages = "89--96", month = apr, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "94A12", MRnumber = "1 423 549", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B6140 (Signal processing and detection); C1120 (Mathematical analysis); C4100 (Numerical analysis); C5260 (Digital signal processing)", corpsource = "Dept. of Math., Barry Univ., Miami Shores, FL, USA", keywords = "continuous waveform; convergence; convergence of numerical methods; discrete time signals; discrete time systems; finite number; large amplitudes; signal processing; sinusoidal waves; superposition; unknown frequencies; waveform analysis; Wiener-Levinson method", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Ye:1996:ABL, author = "Qiang Ye", title = "An adaptive block {Lanczos} algorithm", journal = j-NUMER-ALGORITHMS, volume = "12", number = "1--2", pages = "97--110", month = apr, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F15", MRnumber = "1 423 550", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Appl. Math., Manitoba Univ., Winnipeg, Man., Canada", keywords = "adaptive algorithm; adaptive block Lanczos algorithm; adaptive estimation; algorithm theory; block size; clustered eigenvalue; clustered eigenvalues; eigenvalues and eigenfunctions; iteration; iterative methods; matrix algebra; misconvergence; multiple eigenvalues; residual bounds; Ritz value", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Mulansky:1996:CMC, author = "Bernd Mulansky and Jochen W. Schmidt", title = "Constructive methods in convex ${C}^2$ interpolation using quartic splines", journal = j-NUMER-ALGORITHMS, volume = "12", number = "1--2", pages = "111--124", month = apr, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D07 (41A15)", MRnumber = "1 423 551", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C1110 (Algebra); C4130 (Interpolation and function approximation)", corpsource = "Inst. fur Numerische Math., Tech. Univ. Dresden, Germany", keywords = "additional knot; choice functional; constructive method; convex $C^2$ interpolation; convexity; interpolation; monotonicity; quartic splines; refined grid; shape preserving interpolation; splines (mathematics); subinterval", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Calvetti:1996:ARI, author = "D. Calvetti and L. Reichel", title = "An adaptive {Richardson} iteration method for indefinite linear systems", journal = j-NUMER-ALGORITHMS, volume = "12", number = "1--2", pages = "125--149", month = apr, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10", MRnumber = "1 423 552", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); B0290F (Interpolation and function approximation); B0290H (Linear algebra); C1110 (Algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Pure and Appl. Math., Stevens Inst. of Technol., Hoboken, NJ, USA", keywords = "adaptive Richardson iteration method; algorithm theory; compact set; conjugate residual methods; indefinite linear systems; indefinite matrix; iterative methods; Lanczos process; large linear systems of equations; Leja points; matrix algebra; relaxation parameters; sparse matrices; sparse matrix algebra; symmetric nonsingular matrix; SYMMLQ", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Gresbrand:1996:RSP, author = "Anke Gresbrand", title = "Rational ${B}$-splines with prescribed poles", journal = j-NUMER-ALGORITHMS, volume = "12", number = "1--2", pages = "151--158", month = apr, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D07", MRnumber = "1 423 553", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Hannover Univ., Germany", keywords = "algorithm theory; Chebyshevian B- splines; DeBoor recursion; DeBoor's recursion; knot inserting algorithm; numerical stability; NURBS; partition of unity; poles and zeros; polynomial B-splines; prescribed poles; rational B-splines; recurrence relation; recursion formula; splines; splines (mathematics)", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Amitai:1996:PAH, author = "Dganit Amitai and Amir Averbuch and Moshe Israeli and Samuel Itzikowitz", title = "On parallel asynchronous high-order solutions of parabolic {PDE}s", journal = j-NUMER-ALGORITHMS, volume = "12", number = "1--2", pages = "159--192", month = apr, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N06 (65N12 65Y05)", MRnumber = "1 423 554", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations); C4240P (Parallel programming and algorithm theory); C6110P (Parallel programming); C7310 (Mathematics computing)", corpsource = "Dept. of Comput. Sci., Tel Aviv Univ., Israel", keywords = "concurrency control; concurrent process synchronization; finite difference methods; iterative methods; mathematics computing; message passing; MIMD; parabolic PDE; parallel algorithm; parallel algorithms; parallel asynchronous high-order solutions; parallel programming; parametric asynchronous finite-difference scheme; partial differential equation; partial differential equations", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Ciarlet:1996:VFO, author = "P. {Ciarlet, Jr.} and F. Lamour", title = "On the validity of a front-oriented approach to partitioning large sparse graphs with a connectivity constraint", journal = j-NUMER-ALGORITHMS, volume = "12", number = "1--2", pages = "193--214", month = apr, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "90C35 (05C40 68R10)", MRnumber = "1 423 555", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1160 (Combinatorial mathematics); C4140 (Linear algebra); C4240C (Computational complexity)", corpsource = "CEA, Villeneuve St. George, France", keywords = "computational complexity; connectivity constraint; edge cuts; finite element meshes; front-oriented approach; graph theory; heuristic; large sparse graph partitioning; sparse matrices", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Willemans:1996:SSD, author = "Karin Willemans and Paul Dierckx", title = "Smoothing scattered data with a monotone {Powell--Sabin} spline surface", journal = j-NUMER-ALGORITHMS, volume = "12", number = "1--2", pages = "215--232", month = apr, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A15 (41A29 65D07)", MRnumber = "1 423 556", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4260 (Computational geometry)", corpsource = "Dept. of Comput. Sci., Katholieke Univ., Leuven, Belgium", keywords = "Bernstein-Bezier representation; locally supported basis functions; monotone Powell-Sabin spline surface; monotonicity conditions; scattered data smoothing; splines (mathematics); surface fitting", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Tong:1996:LSS, author = "Charles H. Tong and Qiang Ye", title = "A linear system solver based on a modified {Krylov} subspace method for breakdown recovery", journal = j-NUMER-ALGORITHMS, volume = "12", number = "1--2", pages = "233--251", month = apr, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10", MRnumber = "1 423 557", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4140 (Linear algebra)", corpsource = "Dept. of Math., Hong Kong Univ. of Sci. and Technol., Hong Kong", keywords = "breakdown recovery; convergence bounds; convergence of numerical methods; eigenvalue problems; eigenvalues and eigenfunctions; Krylov subspace; linear system solver; matrix algebra; minimisation; MLAN/QM algorithm; modified dual Krylov subspace; modified Krylov subspace method; newstart vector; nonsymmetric Lanczos method; nonsymmetric linear systems; potential breakdown problem; residual quasi minimization", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{MacLeod:1996:RAS, author = "Allan J. MacLeod", title = "Rational approximations, software and test methods for sine and cosine integrals", journal = j-NUMER-ALGORITHMS, volume = "12", number = "3--4", pages = "259--272", month = jul, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D15", MRnumber = "97e:65020", bibdate = "Tue Apr 29 08:56:05 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4180 (Integral equations); C6150G (Diagnostic, testing, debugging and evaluating systems); C7310 (Mathematics computing)", corpsource = "Dept. of Math. and Stat., Paisley Univ., UK", keywords = "approximation theory; code performance assessment; cosine integrals; Fortran codes; functions; integral equations; mathematics computing; netlib library FN codes; program testing; rational approximations; robust software construction; sine integrals; software; software performance evaluation; test methods", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Shi:1996:GPS, author = "Yixun Shi", title = "A globalization procedure for solving nonlinear systems of equations", journal = j-NUMER-ALGORITHMS, volume = "12", number = "3--4", pages = "273--286", month = jul, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65H10", MRnumber = "1 402 850", bibdate = "Tue Apr 29 08:56:05 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math. and Comput. Sci., Bloomsburg Univ., PA, USA", keywords = "arbitrary initial point; convergence; convergence of numerical methods; globalization procedure; iteration; local minimizer; Newton method; Newton step; nonlinear equation system solving; nonlinear equations; numerical experiments; steepest descent step", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Sauer:1996:RPL, author = "Thomas Sauer and Yuan Xu", title = "Regular points for {Lagrange} interpolation on the unit disk", journal = j-NUMER-ALGORITHMS, volume = "12", number = "3--4", pages = "287--296", month = jul, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A05", MRnumber = "97e:41003", bibdate = "Tue Apr 29 08:56:05 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., Erlangen-Nurnberg Univ., Germany", keywords = "Euclidean plane; interpolation; Lagrange interpolation; natural lattices; polynomials; regular points; rotational symmetry; unit disk", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Huang:1996:HSP, author = "Wanzhen Huang", title = "Heuristic solutions to polynomial moment problems with some convex entropic objectives", journal = j-NUMER-ALGORITHMS, volume = "12", number = "3--4", pages = "297--308", month = jul, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "90C25 (65K10)", MRnumber = "1 402 852", bibdate = "Tue Apr 29 08:56:05 MDT 1997", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math. and Stat., Lakehead Univ., Thunder Bay, Ont., Canada", keywords = "algebraic moments; algorithm theory; algorithms; Boltzmann-Shannon entropy; Burg entropy; convex entropic objectives; convex minimization programming problem; convex programming; entropy-like objective function; heuristic solutions; iteration methods; linear constraints; maximum entropy method; maximum entropy methods; minimisation; Newton method; nonnegative density; numerical computations; polynomial moment problems; polynomials; trigonometric moments", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Karageorghis:1996:EDM, author = "Andreas Karageorghis and Marcin Paprzycki", title = "An efficient direct method for fully conforming spectral collocation schemes", journal = j-NUMER-ALGORITHMS, volume = "12", number = "3--4", pages = "309--319", month = jul, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N35 (65F05 65N22)", MRnumber = "97e:65136", bibdate = "Tue Apr 29 08:56:05 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C7310 (Mathematics computing)", corpsource = "Dept. of Math. and Stat., Cyprus Univ., Nicosia, Cyprus", keywords = "2D problems; 3D problems; boundary-value problems; Cray J-916 supercomputer; efficient direct method; fourth order problems; fully conforming spectral collocation schemes; global matrix block structure; linear systems; mathematics computing; matrix algebra; multidomain spectral collocation schemes; RS6000 workstation; second order problems; spectral-domain analysis", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Witomski:1996:ACP, author = "P. Witomski", title = "Approximation of the capillarity problem by an augmented {Lagrangian} method", journal = j-NUMER-ALGORITHMS, volume = "12", number = "3--4", pages = "321--346", month = jul, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Dxx (76Mxx)", MRnumber = "1 402 854", bibdate = "Tue Apr 29 08:56:05 MDT 1997", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A6810C (Fluid surface energy (surface tension, interface tension, angle of contact, etc.)); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4185 (Finite element analysis); C7320 (Physics and chemistry computing)", corpsource = "LMC-IMAG, Grenoble, France", keywords = "algorithm; approximation theory; augmented Lagrangian method; axisymmetric case; capillarity; capillarity problem approximation; capillary surfaces; convergence; convergence of numerical methods; decomposition-coordination method; discretization; discretization error; error analysis; finite element analysis; finite element method; gravitational held; gravity; physics computing; surface tension; two-dimensional space", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Jackiewicz:1996:VSC, author = "Z. Jackiewicz and S. Tracogna", title = "Variable stepsize continuous two-step {Runge--Kutta} methods for ordinary differential equations", journal = j-NUMER-ALGORITHMS, volume = "12", number = "3--4", pages = "347--368", month = jul, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L06", MRnumber = "97e:65064", bibdate = "Tue Apr 29 08:56:05 MDT 1997", acknowledgement = ack-nhfb, classification = "B0220 (Mathematical analysis); B0290P (Differential equations); C1120 (Mathematical analysis); C4170 (Differential equations)", corpsource = "Dept. of Math., Arizona State Univ., Tempe, AZ, USA", keywords = "consecutive step size ratios; convergence; convergence of numerical methods; differential equations; initial value problems; nonuniform meshes; order criteria; ordinary differential equations; Runge--Kutta methods; stage values; variable step-size continuous two-step Runge--Kutta methods", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Kaagstrom:1996:CES, author = "Bo K{\aa}gstr{\"o}m and Peter Poromaa", title = "Computing eigenspaces with specified eigenvalues of a regular matrix pair $({A},{B})$ and condition estimation: theory, algorithms and software", journal = j-NUMER-ALGORITHMS, volume = "12", number = "3--4", pages = "369--407", month = jul, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Fxx", MRnumber = "1 402 856", bibdate = "Tue Apr 29 08:56:05 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Umea Univ., Sweden", keywords = "condition estimation; deflating sub-spaces; eigenspaces; eigenvalues; eigenvalues and eigenfunctions; error bounds; matrix algebra; numerical stability; reciprocal values; regular matrix pair; specified eigenvalues", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Beauzamy:1996:RSK, author = "Bernard Beauzamy", title = "Reconstructing a signal from the knowledge of the norms of its multiples", journal = j-NUMER-ALGORITHMS, volume = "12", number = "3--4", pages = "409--414", month = jul, year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "94A12 (30C15)", MRnumber = "97e:94002", bibdate = "Tue Apr 29 08:56:05 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B6140 (Signal processing and detection); C4130 (Interpolation and function approximation); C5260 (Digital signal processing)", corpsource = "Inst. de Calcul Math., Paris, France", keywords = "$L_2$-norm; Bombieri's norm; complexity; norms of its multiples; periodic signal; polynomials; reconstruction; signal reconstruction", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Hasegawa:1996:AIP, author = "Takemitsu Hasegawa and Avram Sidi", title = "An automatic integration procedure for infinite range integrals involving oscillatory kernels", journal = j-NUMER-ALGORITHMS, volume = "13", number = "1--2", pages = "1--19", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Dxx (41A55)", MRnumber = "1 417 680", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C1130 (Integral transforms); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Inf. Sci., Fukui Univ., Japan", keywords = "automatic integration procedure; Bessel function; Bessel functions; Chebyshev expansion; efficient automatic quadrature procedure; extrapolation; Fourier integrals; Fourier series; Hankel transform; Hankel transforms; infinite oscillatory integral; infinite range integrals; integration; modified W-transformation; oscillatory infinite integrals; oscillatory kernels; real functions", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Thomas-Agnan:1996:CFR, author = "Christine Thomas-Agnan", title = "Computing a family of reproducing kernels for statistical applications", journal = j-NUMER-ALGORITHMS, volume = "13", number = "1--2", pages = "21--32", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "46N30 (46E22 65Dxx)", MRnumber = "1 417 681", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Hempel:1996:IRR, author = "Daniel Hempel", title = "Isotropic refinement and recoarsening in two dimensions", journal = j-NUMER-ALGORITHMS, volume = "13", number = "1--2", pages = "33--43", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Wed Feb 7 07:37:21 MST 2001", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, ZMnumber = "861.65102", } @Article{Molina:1996:PBB, author = "Brigida Molina and Marcos Raydan", title = "Preconditioned {Barzilai--Borwein} method for the numerical solution of partial differential equations", journal = j-NUMER-ALGORITHMS, volume = "13", number = "1--2", pages = "45--60", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10 (65F50 65Lxx 65Nxx)", MRnumber = "1 417 682", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. de Comput., Univ. Central de Venezuela, Caracas, Venezuela", keywords = "elliptic test problems; large sparse symmetric positive definite linear systems; numerical analysis; numerical solution; partial differential equations; preconditioned Barzilai-Borwein method; preconditioning techniques", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Pietrus:1996:GCM, author = "Alain Pietrus", title = "A globally convergent method for solving nonlinear equations without the differentiability condition", journal = j-NUMER-ALGORITHMS, volume = "13", number = "1--2", pages = "61--76", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Hxx", MRnumber = "1 417 683", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", corpsource = "Dept. de Math., Poitiers Univ., France", keywords = "convergence of numerical methods; differentiability condition; eigenvalues and eigenfunctions; globally convergent method; monotonically decreasing sequence; nonlinear equations; nonsmooth analysis; one variable Lipschitzian function; parameterized eigenvalue problems", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Hietel:1996:CFD, author = "Dietmar Hietel and Andreas Meister and Thomas Sonar", title = "On the comparison of four different implementations of a third-order {ENO} scheme of box type for the computation of compressible flow", journal = j-NUMER-ALGORITHMS, volume = "13", number = "1--2", pages = "77--105", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "76Mxx (65Dxx 65N40)", MRnumber = "1 417 684", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "A0210 (Algebra, set theory, and graph theory); A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4740D (General subsonic flows); C4130 (Interpolation and function approximation); C4170 (Differential equations); C7320 (Physics and chemistry computing)", corpsource = "Fachbereich Math., Tech. Hochschule Darmstadt, Germany", keywords = "compressible flow; finite difference methods; finite difference type implementations; finite volume recovery; implicit time stepping; physics computing; polynomials; preconditioned GMRES method; quadratic polynomial recovery; third-order ENO scheme", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Gugat:1996:NDC, author = "M. Gugat", title = "The {Newton} differential correction algorithm for rational {Chebyshev} approximation with constrained denominators", journal = j-NUMER-ALGORITHMS, volume = "13", number = "1--2", pages = "107--122", month = "????", year = "1996", MRclass = "65Dxx (41A20)", MRnumber = "1 417 685", bibdate = "Tue Apr 29 08:51:10 MDT 1997", acknowledgement = ack-nhfb, } @Article{Varadhan:1996:ADS, author = "Sowmini Varadhan and Michael W. Berry and Gene H. Golub", title = "Approximating dominant singular triplets of large sparse matrices via modified moments", journal = j-NUMER-ALGORITHMS, volume = "13", number = "1--2", pages = "123--152", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F50 (65F15 65Kxx)", MRnumber = "1 417 686", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4240P (Parallel programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Tennessee Univ., Knoxville, TN, USA", keywords = "256-processor Cray T3D; ANSI-C implementation; Chebyshev approximation; Chebyshev semi-iterative method; deflation techniques; dominant singular triplets; eigenvalues and eigenfunctions; eigenvectors; equivalent eigensystems; equivalent sparse eigensystems; large sparse matrices; modified moments; parallel algorithms; parallel implementations; singular value decomposition; sparse matrices; UNIX workstation network", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Brass:1996:QAB, author = "Helmut Brass", title = "On the quality of algorithms based on spline interpolation", journal = j-NUMER-ALGORITHMS, volume = "13", number = "3--4", pages = "159--177", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D07 (65D30)", MRnumber = "98b:65012; 1 430 517", MRreviewer = "S. Dubuc", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Inst. fur Angewandte Math., Tech. Univ. Braunschweig, Germany", keywords = "error analysis; function values; interpolation; numerical algorithm; quality; smallest possible error; spline interpolation; splines (mathematics)", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Bini:1996:NCP, author = "Dario Andrea Bini", title = "Numerical computation of polynomial zeros by means of {Aberth}'s method", journal = j-NUMER-ALGORITHMS, volume = "13", number = "3--4", pages = "179--200", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65H05 (65Y20)", MRnumber = "97k:65118; 1 430 518", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dipartimento di Matematica, Pisa Univ., Italy", keywords = "Aberth's method; floating point numbers; Fortran 77; function approximation; poles and zeros; polynomial zeros; polynomials; starting approximations", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Ciarlet:1996:DCP, author = "P. {Ciarlet, Jr.} and F. Lamour", title = "Does contraction preserve triangular meshes?", journal = j-NUMER-ALGORITHMS, volume = "13", number = "3--4", pages = "201--223", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "05C10", MRnumber = "1 430 519", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4260 (Computational geometry)", corpsource = "CEA, Centre d'Etudes de Limeil-Valenton, Villeneuve St. Georges, France", keywords = "computational geometry; contraction; embedding; graph theory; triangular graph; triangular meshes; triangularity", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Li:1996:ADT, author = "Zi-Cai Li", title = "Analysis of discrete techniques for image transformation", journal = j-NUMER-ALGORITHMS, volume = "13", number = "3--4", pages = "225--263", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N15 (68U10)", MRnumber = "1 430 520", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B6140C (Optical information, image and video signal processing); C1250 (Pattern recognition); C4110 (Error analysis in numerical methods); C5260B (Computer vision and image processing techniques)", corpsource = "Dept. of Appl. Math., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan", keywords = "a priori error estimates; convergence of numerical methods; convergence rates; CSIM; cycle conversion; digital images; discrete techniques; error analysis; harmonic transformation; image processing; image transformation; nonlinear transformation; pattern recognition; pixel greyness; splitting-integrating; splitting-shooting", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Fiorot:1996:BAA, author = "J.-C. Fiorot and P. Jeannin", title = "A blossoming approach to accuracy of the degree elevation process", journal = j-NUMER-ALGORITHMS, volume = "13", number = "3--4", pages = "265--306", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D17 (41A10); 65D17 (41-XX)", MRnumber = "97m:65035; 1 430 521", MRreviewer = "Heinz H. Gonska", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis); C4260 (Computational geometry)", corpsource = "Valenciennes Univ., France", keywords = "accuracy control; Bezier-De Casteljau curve; blossoming; computational geometry; control polygons; convergence; convergence of numerical methods; degree elevation; degree elevation process; height elevation; length elevation; patch; polar form", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Hermann:1996:SPT, author = "Thomas Hermann", title = "On the stability of polynomial transformations between {Taylor}, {Bernstein} and {Hermite} forms", journal = j-NUMER-ALGORITHMS, volume = "13", number = "3--4", pages = "307--320", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D17 (65F35)", MRnumber = "97k:65046; 1 430 522", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4190 (Other numerical methods); C4260 (Computational geometry)", corpsource = "Geometric Modelling Lab., Comput. and Autom. Res. Inst., Budapest, Hungary", keywords = "Bernstein; computational geometry; exact asymptotic; Hermite forms; numerical stability; polynomial transformations; polynomials; stability; Taylor", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Bultheel:1996:CMP, author = "A. Bultheel and P. Gonz{\'a}lez-Vera and E. Hendriksen and O. Nj{\aa}stad", title = "On the convergence of multipoint {Pad{\'e}}-type approximants and quadrature formulas associated with the unit circle", journal = j-NUMER-ALGORITHMS, volume = "13", number = "3--4", pages = "321--344", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A17 (30E05); 41A20 (41A55 65D32)", MRnumber = "97h:41029; 1 430 523", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Comput. Sci., Katholieke Univ., Leuven, Belgium", keywords = "convergence; convergence of numerical methods; function approximation; Herglotz-Riesz transform; integration; multipoint; Pade-type approximants; prescribed poles; quadrature formulas; rational interpolants; unit circle", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Carnicer:1996:PLI, author = "J. M. Carnicer and M. S. Floater", title = "Piecewise linear interpolants to {Lagrange} and {Hermite} convex scattered data", journal = j-NUMER-ALGORITHMS, volume = "13", number = "3--4", pages = "345--364", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41Axx (65D05)", MRnumber = "1 430 524", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4185 (Finite element analysis); C4260 (Computational geometry)", corpsource = "Dept. de Matematica Aplicada, Zaragoza Univ., Spain", keywords = "algorithm theory; computational geometry; convex bivariate scattered data; convex Hermite data generation; convex Hermite interpolants; convex Lagrange interpolants; Hermite convex scattered data; infimum; interpolation; Lagrange convex scattered data; mesh generation; numerical computation; piecewise linear interpolants; piecewise-linear techniques; supremum; tessellation; triangulation", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Chan:1996:CTM, author = "Tony F. Chan and Jun Zou", title = "A convergence theory of multilevel additive {Schwarz} methods on unstructured meshes", journal = j-NUMER-ALGORITHMS, volume = "13", number = "3--4", pages = "365--398", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N30 (65F10)", MRnumber = "1 430 525", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, classification = "B0290T (Finite element analysis); C4185 (Finite element analysis); C4260 (Computational geometry)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", keywords = "coarse grids; completely local bounds; convergence of numerical methods; convergence theory; elliptic equations; elliptic problems; fine grids; global coarse problem; local subproblems; mesh generation; mesh sizes; multilevel additive Schwarz domain decomposition methods; nonself-adjoint parabolic problems; optimal condition numbers; parabolic equations; shape-regular grids; subdomain overlap; subdomain sizes; symmetric positive definite solvers; unstructured meshes", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Brezinski:1996:BR, author = "C. Brezinski", title = "Book Reviews", journal = j-NUMER-ALGORITHMS, volume = "13", number = "3--4", pages = "399--404", month = "????", year = "1996", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Dieci:1997:P, author = "Luca Dieci and Don Estep and Eric Van de Velde", title = "Preface", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "1--1", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/1/fulltext.pdf", acknowledgement = ack-nhfb, xxnote = "Check pages numbers: overlaps with \cite{Ascher:1997:SID}.", } @Article{Ascher:1997:SID, author = "Uri M. Ascher", title = "Stabilization of invariants of discretized differential systems", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "1--24", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L05 (34A09 34A45 65L20)", MRnumber = "98d:65082", MRreviewer = "Benedict J. Leimkuhler", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Dynamical numerical analysis (Atlanta, GA, 1995).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/2/fulltext.pdf", acknowledgement = ack-nhfb, xxnote = "Check pages numbers: overlaps with \cite{Dieci:1997:P}.", ZMnumber = "911.65058", } @Article{Beyn:1997:NAH, author = "W.-J. Beyn and J.-M. Kleinkauf", title = "Numerical approximation of homoclinic chaos", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "25--53", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "58Fxx (65Lxx)", MRnumber = "1 456 494", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Dynamical numerical analysis (Atlanta, GA, 1995).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/3/fulltext.pdf", acknowledgement = ack-nhfb, xxauthor = "Uri M. Beyn and Don Kleinkauf", } @Article{Coomes:1997:LPS, author = "Brian A. Coomes and H{\"u}seyin Ko{\c{c}}ak and Kenneth J. Palmer", title = "Long periodic shadowing", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "55--78", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "34Cxx (58Fxx 65L07)", MRnumber = "1 456 495", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Dynamical numerical analysis (Atlanta, GA, 1995).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Dieci:1997:LTN, author = "Luca Dieci and Jens Lorenz", title = "Lyapunov-type numbers and torus breakdown: numerical aspects and a case study", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "79--102", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Lxx (34Cxx 34Dxx 58Fxx)", MRnumber = "1 456 496", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Dynamical numerical analysis (Atlanta, GA, 1995).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Doedel:1997:SCL, author = "E. J. Doedel and M. J. Friedman and B. I. Kunin", title = "Successive continuation for locating connecting orbits", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "103--124", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "34B15 (34Cxx 65J15)", MRnumber = "1 456 497", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Dynamical numerical analysis (Atlanta, GA, 1995).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/6/fulltext.pdf", acknowledgement = ack-nhfb, xxauthor = "Luca Doedel and Jens Friedman and Kenneth J. Kunin", } @Article{Johnson:1997:TDI, author = "Mark E. Johnson and Michael S. Jolly and Ioannis G. Kevrekidis", title = "Two-dimensional invariant manifolds and global bifurcations: some approximation and visualization studies", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "125--140", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "58Fxx (34C23 34C30 65L06)", MRnumber = "1 456 498", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Dynamical numerical analysis (Atlanta, GA, 1995).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/7/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Kloeden:1997:NSC, author = "Peter E. Kloeden and Bj{\"o}rn Schmalfu{\ss}", title = "Nonautonomous systems, cocycle attractors and variable time-step discretization", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "141--152", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "58Fxx (34Cxx 34D45 65L05)", MRnumber = "1 456 499", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Dynamical numerical analysis (Atlanta, GA, 1995).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/8/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/8/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Lo:1997:LPT, author = "Martin W. Lo", title = "Libration point trajectory design", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "153--164", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "70F07 (70F15)", MRnumber = "1 456 500", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Dynamical numerical analysis (Atlanta, GA, 1995).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/9/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/9/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Lyashenko:1997:SSG, author = "Andrei A. Lyashenko", title = "On the stability of the spectral {Galerkin} approximation", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "165--178", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Mxx", MRnumber = "1 456 501", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Dynamical numerical analysis (Atlanta, GA, 1995).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/10/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/10/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Robinson:1997:CFI, author = "James C. Robinson", title = "Convergent families of inertial manifolds for convergent approximations", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "179--188", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Jxx (34Gxx 35B40 47Hxx 47N20 65Mxx)", MRnumber = "1 456 502", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Dynamical numerical analysis (Atlanta, GA, 1995).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/11/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/11/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Shardlow:1997:IML, author = "Tony Shardlow", title = "Inertial manifolds and linear multi-step methods", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "189--209", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65M06 (47H20)", MRnumber = "1 456 503", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Dynamical numerical analysis (Atlanta, GA, 1995).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/12/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/12/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Smiley:1997:NBS, author = "M. W. Smiley", title = "Numerical bifurcation and stability analysis for steady-states of reaction diffusion equations", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "211--225", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "35J65 (35B32 65N30)", MRnumber = "98d:35083", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Dynamical numerical analysis (Atlanta, GA, 1995).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/13/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/13/fulltext.pdf", acknowledgement = ack-nhfb, xxauthor = "Tony Smiley", } @Article{Stuart:1997:PDC, author = "A. M. Stuart", title = "Probabilistic and deterministic convergence proofs for software for initial value problems", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "227--260", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L05 (34A45)", MRnumber = "98d:65090", MRreviewer = "Marco Marletta", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Dynamical numerical analysis (Atlanta, GA, 1995).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/14/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/14/fulltext.pdf", acknowledgement = ack-nhfb, xxauthor = "Tony Stuart", } @Article{Tovbis:1997:HCN, author = "Alexander Tovbis", title = "Homoclinic connections and numerical integration", journal = j-NUMER-ALGORITHMS, volume = "14", number = "1--3", pages = "261--267", month = mar, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "58F30 (34C37 58F15 65L99)", MRnumber = "98c:58153", MRreviewer = "Mark A. Peletier", bibdate = "Mon Sep 29 08:36:49 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Dynamical numerical analysis (Atlanta, GA, 1995). See erratum \cite{Tovbis:1998:EHC}.", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/5/15/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/5/15/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Li:1997:IIM, author = "Zhilin Li", title = "Immersed interface methods for moving interface problems", journal = j-NUMER-ALGORITHMS, volume = "14", number = "4", pages = "269--293", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65M06 (65M30 80A22)", MRnumber = "98c:65145", MRreviewer = "Diego A. Murio", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/6/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/6/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Bai:1997:CTS, author = "Zhong-Zhi Bai", title = "A class of two-stage iterative methods for systems of weakly nonlinear equations", journal = j-NUMER-ALGORITHMS, volume = "14", number = "4", pages = "295--319", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65H10", MRnumber = "98d:65068", MRreviewer = "Tetsuro Yamamoto", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/6/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/6/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Draux:1997:RMP, author = "Andr{\'e} Draux and Borhane Moalla", title = "Rectangular matrix {Pad{\'e}} approximants and square matrix orthogonal polynomials", journal = j-NUMER-ALGORITHMS, volume = "14", number = "4", pages = "321--341", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A21 (42C05 65D15)", MRnumber = "98d:41022", MRreviewer = "A. J. Rodrigues", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/6/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/6/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Nigro:1997:PSI, author = "Abdelmalek Nigro and Pierre-Jean Laurent", title = "Progressive stable interpolation", journal = j-NUMER-ALGORITHMS, volume = "14", number = "4", pages = "343--359", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D05 (41A05)", MRnumber = "98c:65013", MRreviewer = "Mao Dong Ye", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/6/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/6/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Alouges:1997:MPP, author = "Fran{\c{c}}ois Alouges and Philippe Loreaux", title = "Massively parallel preconditioners for symmetric positive definite linear systems", journal = j-NUMER-ALGORITHMS, volume = "14", number = "4", pages = "361--375", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F35 (65F10 65Y05)", MRnumber = "98c:65074", MRreviewer = "Jin Yun Yuan", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/6/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/6/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Kobbelt:1997:SEB, author = "Leif Kobbelt", title = "Stable evaluation of box-splines", journal = j-NUMER-ALGORITHMS, volume = "14", number = "4", pages = "377--382", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D07 (41A15)", MRnumber = "1 452 076", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/6/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/6/6/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Lawton:1997:CCQ, author = "Wayne Lawton and Charles A. Micchelli", title = "Construction of conjugate quadrature filters with specified zeros", journal = j-NUMER-ALGORITHMS, volume = "14", number = "4", pages = "383--399", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A15 (41A30 42C05 42C15)", MRnumber = "1 452 077", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/6/8/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/6/8/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Anonymous:1997:BR, author = "Anonymous", title = "Book reviews", journal = j-NUMER-ALGORITHMS, volume = "14", number = "4", pages = "401--403", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/6/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/6/7/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Reif:1997:USA, author = "Ulrich Reif", title = "Uniform {$B$}-spline approximation in {Sobolev} spaces", journal = j-NUMER-ALGORITHMS, volume = "15", number = "1", pages = "1--14", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A15 (41A29 41A65 65D07)", MRnumber = "98d:41016", MRreviewer = "Kairat T. Mynbaev", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/30/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/30/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Erra:1997:SSI, author = "Robert Erra and Bernard Philippe", title = "On some structured inverse eigenvalue problems", journal = j-NUMER-ALGORITHMS, volume = "15", number = "1", pages = "15--35", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F15", MRnumber = "98d:65046", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/30/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/30/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Fierro:1997:LRR, author = "Ricardo D. Fierro and Per Christian Hansen", title = "Low-rank revealing {UTV} decompositions", journal = j-NUMER-ALGORITHMS, volume = "15", number = "1", pages = "37--55", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F05 (65F30)", MRnumber = "98d:65031", MRreviewer = "A. Bultheel", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/30/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/30/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Bini:1997:ICR, author = "Dario Andrea Bini and Beatrice Meini", title = "Improved cyclic reduction for solving queueing problems", journal = j-NUMER-ALGORITHMS, volume = "15", number = "1", pages = "57--74", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65U05 (60J10 60K25 65Fxx 90B22)", MRnumber = "1 460 963", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/30/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/30/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Kzaz:1997:GQA, author = "M. Kzaz", title = "{Gaussian} quadrature and acceleration of convergence", journal = j-NUMER-ALGORITHMS, volume = "15", number = "1", pages = "75--89", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Dxx", MRnumber = "1 460 964", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/30/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/30/5/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "886.65019", } @Article{Gemignani:1997:CRI, author = "Luca Gemignani", title = "{Chebyshev} rational interpolation", journal = j-NUMER-ALGORITHMS, volume = "15", number = "1", pages = "91--110", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41Axx", MRnumber = "1 460 965", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/30/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/30/6/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "890.65009", } @Article{Arnold:1997:FCF, author = "C. Arnold", title = "Formal continued fractions solutions of the generalized second order {Riccati} equations, applications", journal = j-NUMER-ALGORITHMS, volume = "15", number = "1", pages = "111--134", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L99 (30B70 34A45 93B40)", MRnumber = "98c:65141", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/30/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/30/7/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Brezinski:1997:BRa, author = "Claude Brezinski", title = "Book reviews", journal = j-NUMER-ALGORITHMS, volume = "15", number = "1", pages = "135--137", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:50 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/30/8/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/30/8/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Anderson:1997:PAP, author = "I. J. Anderson", title = "A piecewise approach to piecewise approximation", journal = j-NUMER-ALGORITHMS, volume = "15", number = "2", pages = "139--152", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Dxx (41Axx)", MRnumber = "1 475 174", bibdate = "Mon Sep 29 08:36:51 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/7/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/7/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Strauss:1997:IPP, author = "Hans Strauss", title = "On interpolation with products of positive definite functions", journal = j-NUMER-ALGORITHMS, volume = "15", number = "2", pages = "153--165", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41Axx (65Dxx)", MRnumber = "1 475 175", bibdate = "Mon Sep 29 08:36:51 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/7/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/7/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Pestano-Gabino:1997:MPA, author = "Celina Pestano-Gabino and Concepci{\'o}n Gonz{\'a}lez-Concepci{\'o}n", title = "Matrix {Pad{\'e}} approximation of rational functions", journal = j-NUMER-ALGORITHMS, volume = "15", number = "2", pages = "167--192", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41Axx", MRnumber = "1 475 176", bibdate = "Mon Sep 29 08:36:51 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/7/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/7/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Dragan:1997:WCC, author = "Vasile Dragan and Aristide Halanay and Adrian Stoica", title = "Well-conditioned computation for {$H^\infty$} controller near the optimum", journal = j-NUMER-ALGORITHMS, volume = "15", number = "2", pages = "193--206", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "93B36 (93C40)", MRnumber = "1 475 177", bibdate = "Mon Sep 29 08:36:51 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/7/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/7/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Temme:1997:NAU, author = "N. M. Temme", title = "Numerical algorithms for uniform {Airy-type} asymptotic expansions", journal = j-NUMER-ALGORITHMS, volume = "15", number = "2", pages = "207--225", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Dxx (41Axx)", MRnumber = "1 475 178", bibdate = "Mon Sep 29 08:36:51 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/7/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/7/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Higham:1997:SIM, author = "Nicholas J. Higham", title = "Stable iterations for the matrix square root", journal = j-NUMER-ALGORITHMS, volume = "15", number = "2", pages = "227--242", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F30 (65F05)", MRnumber = "98d:65055", bibdate = "Mon Sep 29 08:36:51 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/7/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/7/6/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Brezinski:1997:BRb, author = "C. Brezinski", title = "Book reviews", journal = j-NUMER-ALGORITHMS, volume = "15", number = "2", pages = "243--246", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:51 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/7/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/7/7/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Graves-Morris:1997:LAL, author = "P. R. Graves-Morris", title = "A ``look-around {Lanczos}'' algorithm for solving a system of linear equations", journal = j-NUMER-ALGORITHMS, volume = "15", number = "3--4", pages = "247--274", month = jan, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10 (65B05 65F50)", MRnumber = "98m:65042", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Benazzouz:1997:QST, author = "A. Benazzouz", title = "Quasilinear sequence transformations", journal = j-NUMER-ALGORITHMS, volume = "15", number = "3--4", pages = "275--285", month = jan, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65H05 (65F05)", MRnumber = "1 605 660", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Averbuch:1997:FDE, author = "A. Averbuch and L. Vozovoi and M. Israeli", title = "On a fast direct elliptic solver by a modified {Fourier} method", journal = j-NUMER-ALGORITHMS, volume = "15", number = "3--4", pages = "287--313", month = jan, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N35", MRnumber = "1 605 664", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, xxtitle = "On a fast elliptic solver by a modified {Fourier} method", } @Article{Bahi:1997:AMM, author = "J. Bahi and J. C. Miellou and K. Rhofir", title = "Asynchronous multisplitting methods for nonlinear fixed point problems", journal = j-NUMER-ALGORITHMS, volume = "15", number = "3--4", pages = "315--345", month = jan, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65H10", MRnumber = "1 605 668", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Bai:1997:PMT, author = "Zhong-Zhi Bai", title = "Parallel multisplitting two-stage iterative methods for large sparse systems of weakly nonlinear equations", journal = j-NUMER-ALGORITHMS, volume = "15", number = "3--4", pages = "347--372", month = jan, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65H10 (65Y05)", MRnumber = "1 605 672", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Laurent:1997:CSS, author = "Pierre-Jean Laurent and Marie-Laurence Mazure and Voichi{\c{t}}a Teodora Maxim", title = "{Chebyshev} splines and shape parameters", journal = j-NUMER-ALGORITHMS, volume = "15", number = "3--4", pages = "373--383", month = jan, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D17 (65D07)", MRnumber = "98i:65011", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Brezinski:1997:BRc, author = "Claude Brezinski", title = "Book reviews", journal = j-NUMER-ALGORITHMS, volume = "15", number = "3--4", pages = "385--388", month = jan, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, } @Article{Alleon:1997:SAI, author = "Guillaume All{\'e}on and Michele Benzi and Luc Giraud", title = "Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics.", journal = j-NUMER-ALGORITHMS, volume = "16", number = "1", pages = "1--15", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "1--15 (1998). 65F35 (65F50)", MRnumber = "1 623 628", bibdate = "Mon Sep 29 08:36:52 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Sparse matrices in industry (Lille, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/9/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/9/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Dumitrescu:1997:TDB, author = "B. Dumitrescu and M. Doreille and J.-L. Roch and D. Trystram", title = "Two-dimensional block partitionings for the parallel sparse {Cholesky} factorization", journal = j-NUMER-ALGORITHMS, volume = "16", number = "1", pages = "17--38", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "17--38 (1998). 65Fxx", MRnumber = "1 623 629", bibdate = "Mon Sep 29 08:36:52 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Sparse matrices in industry (Lille, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/9/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/9/3/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "918.65018", } @Article{Gregoire:1997:DIS, author = "J. P. Gregoire and C. Rose and B. Thomas", title = "Direct and iterative solvers for finite-element problems", journal = j-NUMER-ALGORITHMS, volume = "16", number = "1", pages = "39--53", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "39--53 (1998). 76M10", MRnumber = "1 623 630", bibdate = "Mon Sep 29 08:36:52 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Sparse matrices in industry (Lille, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/9/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/9/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Heuveline:1997:PCS, author = "Vincent Heuveline and Bernard Philippe and Miloud Sadkane", title = "Parallel computation of spectral portrait of large matrices by {Davidson} type methods", journal = j-NUMER-ALGORITHMS, volume = "16", number = "1", pages = "55--75", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "55--75 (1998). 65F15 (65Y05)", MRnumber = "1 623 631", bibdate = "Mon Sep 29 08:36:52 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Sparse matrices in industry (Lille, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/9/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/9/5/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "920.65020", } @Article{Meurant:1997:CBN, author = "G{\'e}rard Meurant", title = "The computation of bounds for the norm of the error in the conjugate gradient algorithm", journal = j-NUMER-ALGORITHMS, volume = "16", number = "1", pages = "77--87", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "77--87 (1998). 65F50", MRnumber = "1 623 632", bibdate = "Mon Sep 29 08:36:52 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", note = "Sparse matrices in industry (Lille, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/9/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/9/6/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Mitrouli:1997:CSN, author = "M. Mitrouli and C. Koukouvinos", title = "On the computation of the {Smith} normal form of compound matrices", journal = j-NUMER-ALGORITHMS, volume = "16", number = "2", pages = "95--105", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "15A21 (93Bxx)", MRnumber = "1 619 179", bibdate = "Mon Sep 29 08:36:52 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/10/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/10/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Enright:1997:IPW, author = "W. H. Enright and Min Hu", title = "Improving performance when solving high-order and mixed-order boundary value problems in {ODEs}", journal = j-NUMER-ALGORITHMS, volume = "16", number = "2", pages = "107--116", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "107--116 (1998). 65L10", MRnumber = "1 619 180", bibdate = "Mon Sep 29 08:36:52 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/10/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/10/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Vulanovic:1997:FOA, author = "Relja Vulanovi{\'c}", title = "Fourth order algorithms for a semilinear singular perturbation problem", journal = j-NUMER-ALGORITHMS, volume = "16", number = "2", pages = "117--128", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "117--128 (1998). 65L10", MRnumber = "1 619 181", bibdate = "Mon Sep 29 08:36:52 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/10/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/10/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{He:1997:CSF, author = "Qiming He and Lishan Kang and D. J. Evans", title = "Convergence and stability of the finite difference scheme for nonlinear parabolic systems with time delay", journal = j-NUMER-ALGORITHMS, volume = "16", number = "2", pages = "129--153", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "129--153 (1998). 65M06 (65M12)", MRnumber = "1 619 182", bibdate = "Mon Sep 29 08:36:52 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/10/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/10/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Gutzmer:1997:DDS, author = "Tim Gutzmer and Armin Iske", title = "Detection of discontinuities in scattered data approximation", journal = j-NUMER-ALGORITHMS, volume = "16", number = "2", pages = "155--170", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "155--170 (1998). 65Dxx", MRnumber = "1 619 183", bibdate = "Mon Sep 29 08:36:52 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/10/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/10/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Lucet:1997:FTF, author = "Yves Lucet", title = "Faster than the fast {Legendre} transform, the linear-time {Legendre} transform", journal = j-NUMER-ALGORITHMS, volume = "16", number = "2", pages = "171--185", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "171--185 (1998). 65R10 (49J99)", MRnumber = "98m:65221", bibdate = "Mon Sep 29 08:36:52 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/10/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/10/6/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "909.65037", } @Article{Rebillard:1997:RAC, author = "Luc Rebillard", title = "Rational approximation in the complex plane using a $\tau$-method and computer algebra", journal = j-NUMER-ALGORITHMS, volume = "16", number = "2", pages = "187--208", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "187--208 (1998). 65Dxx (65Lxx)", MRnumber = "1 619 185", bibdate = "Mon Sep 29 08:36:52 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/10/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/10/7/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "911.65057", } @Article{Butcher:1997:NRD, author = "J. C. Butcher and P. Chartier and Z. Jackiewicz", title = "{Nordsieck} representation of {DIMSIM}s", journal = j-NUMER-ALGORITHMS, volume = "16", number = "2", pages = "209--230", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "209--230 (1998). 65L70", MRnumber = "98m:65130", bibdate = "Mon Sep 29 08:36:52 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/10/8/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/10/8/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "920.65043", } @Article{Diethelm:1997:NSF, author = "Kai Diethelm and Guido Walz", title = "Numerical solution of fractional order differential equations by extrapolation", journal = j-NUMER-ALGORITHMS, volume = "16", number = "3--4", pages = "231--253", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "231--253 (1998). 26A33 (65Lxx)", MRnumber = "1 617 164", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/11/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/11/1/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "926.65070", } @Article{Renaut:1997:ECP, author = "Rosemary Renaut and Yi Su", title = "Evaluation of {Chebyshev} pseudospectral methods for third order differential equations", journal = j-NUMER-ALGORITHMS, volume = "16", number = "3--4", pages = "255--281", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "255--281 (1998). 65M70", MRnumber = "1 617 165", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/11/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/11/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Rossini:1997:IDN, author = "Milvia Rossini", title = "Irregularity detection from noisy data in one and two dimensions", journal = j-NUMER-ALGORITHMS, volume = "16", number = "3--4", pages = "283--301", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "283--301 (1998). 65Dxx (94Axx)", MRnumber = "1 617 166", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/11/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/11/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Ehrich:1997:SOP, author = "Sven Ehrich", title = "Sard-optimal prefilters for the fast wavelet transform", journal = j-NUMER-ALGORITHMS, volume = "16", number = "3--4", pages = "303--319", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "303--319 (1998). 65Txx (42Cxx)", MRnumber = "1 617 167", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/11/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/11/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Verlinden:1997:EEM, author = "P. Verlinden and D. M. Potts and J. N. Lyness", title = "Error expansions for multidimensional trapezoidal rules with {Sidi} transformations", journal = j-NUMER-ALGORITHMS, volume = "16", number = "3--4", pages = "321--347", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "321--347 (1998). 65D30", MRnumber = "1 617 168", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/11/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/11/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Enright:1997:DDE, author = "W. H. Enright and H. Hayashi", title = "A delay differential equation solver based on a continuous {Runge--Kutta} method with defect control", journal = j-NUMER-ALGORITHMS, volume = "16", number = "3--4", pages = "349--364", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "349--364 (1998). 65L06", MRnumber = "1 617 169", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/11/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/11/6/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "980.26625", } @Article{Ye:1997:DDF, author = "Xiu Ye and Charles A. Hall", title = "A discrete divergence-free basis for finite element methods", journal = j-NUMER-ALGORITHMS, volume = "16", number = "3--4", pages = "365--380", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "365--380 (1998). 65M60", MRnumber = "1 617 170", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/11/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/11/7/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Brezinski:1997:BRd, author = "Claude Brezinski", title = "Book reviews", journal = j-NUMER-ALGORITHMS, volume = "16", number = "3--4", pages = "381--382", month = dec, year = "1997", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/11/8/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/11/8/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Piquet:1998:MPK, author = "Jean Piquet and Xavier Vasseur", title = "Multigrid preconditioned {Krylov} subspace methods for three-dimensional numerical solutions of the incompressible {Navier--Stokes} equations", journal = j-NUMER-ALGORITHMS, volume = "17", number = "1--2", pages = "1--32", month = mar, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N55 (65F10 76D05 76M20)", MRnumber = "1 628 470", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/31/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/31/6/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Roberts:1998:VCA, author = "D. E. Roberts", title = "A vector {Chebyshev} algorithm", journal = j-NUMER-ALGORITHMS, volume = "17", number = "1--2", pages = "33--50", month = mar, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D99 (15A66 41A21 65F99)", MRnumber = "1 628 474", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/31/11/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/31/11/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "907.65013", } @Article{Chan:1998:TFF, author = "Tony F. Chan and Lisette {de Pillis} and Henk {van der Vorst}", title = "Transpose-free formulations of {Lanczos-type} methods for nonsymmetric linear systems", journal = j-NUMER-ALGORITHMS, volume = "17", number = "1--2", pages = "51--66", month = mar, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Fxx", MRnumber = "1 628 478", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/31/12/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/31/12/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Brezinski:1998:TFL, author = "C. Brezinski and M. Redivo-Zaglia", title = "Transpose-free {Lanczos-type} algorithms for nonsymmetric linear systems", journal = j-NUMER-ALGORITHMS, volume = "17", number = "1--2", pages = "67--103", month = mar, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Fxx", MRnumber = "1 628 482", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/31/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/31/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Toutounian:1998:SOS, author = "Faezeh Toutounian", title = "The stable {$A^{\ssf T}A$}-orthogonal $s$-step {${\rm Orthomin}(k)$} algorithm with the {CADNA} library", journal = j-NUMER-ALGORITHMS, volume = "17", number = "1--2", pages = "105--119", month = mar, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10 (65-04)", MRnumber = "1 628 486", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/31/10/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/31/10/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Butcher:1998:DDE, author = "J. C. Butcher and M. T. Diamantakis", title = "{DESIRE}: diagonally extended singly implicit {Runge--Kutta} effective order methods", journal = j-NUMER-ALGORITHMS, volume = "17", number = "1--2", pages = "121--145", month = mar, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L06", MRnumber = "1 628 490", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/31/9/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/31/9/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Sprengel:1998:PIW, author = "Frauke Sprengel", title = "Periodic interpolation and wavelets on sparse grids", journal = j-NUMER-ALGORITHMS, volume = "17", number = "1--2", pages = "147--169", month = mar, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Txx (42-XX 65Dxx)", MRnumber = "1 628 494", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/31/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/31/7/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Linh:1998:SQA, author = "Vu Hoang Linh", title = "On some questions arising in numerical realization of amplitude-phase methods", journal = j-NUMER-ALGORITHMS, volume = "17", number = "1--2", pages = "171--191", month = mar, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Lxx (34Bxx)", MRnumber = "1 628 419", bibdate = "Mon Sep 29 08:36:53 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/31/8/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/31/8/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Butcher:1998:AMO, author = "J. C. Butcher", title = "{ARK} methods up to order five", journal = j-NUMER-ALGORITHMS, volume = "17", number = "3--4", pages = "193--221", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L06", MRnumber = "1 639 137", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/12/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/12/6/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "907.65069", } @Article{Homeier:1998:ST, author = "Herbert H. H. Homeier", title = "On the stability of the {${\scr J}$} transformation", journal = j-NUMER-ALGORITHMS, volume = "17", number = "3--4", pages = "223--239", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Bxx", MRnumber = "1 639 141", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/12/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/12/4/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "907.65001", } @Article{Schmidt:1998:ACR, author = "J. W. Schmidt and M. Bastian-Walther", title = "Algorithm for constructing range restricted histosplines", journal = j-NUMER-ALGORITHMS, volume = "17", number = "3--4", pages = "241--260", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D07 (41A15)", MRnumber = "1 639 064", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/12/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/12/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Agrawal:1998:NCC, author = "Vishwani D. Agrawal and David Lee and Henryk Wo{\'z}niakowski", title = "Numerical computation of characteristic polynomials of {Boolean} functions and its applications", journal = j-NUMER-ALGORITHMS, volume = "17", number = "3--4", pages = "261--278", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "94Cxx", MRnumber = "1 639 068", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/12/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/12/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Rey:1998:RRP, author = "Christian Rey and Franck Risler", title = "A {Rayleigh--Ritz} preconditioner for the iterative solution to large scale nonlinear problems", journal = j-NUMER-ALGORITHMS, volume = "17", number = "3--4", pages = "279--311", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Hxx (65F50)", MRnumber = "1 639 072", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/12/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/12/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Petkovic:1998:SCS, author = "Miodrag S. Petkovi{\'c} and {\Dbar}or{\dbar}e Herceg and Sne{\v{z}}ana Ili{\'c}", title = "Safe convergence of simultaneous methods for polynomial zeros", journal = j-NUMER-ALGORITHMS, volume = "17", number = "3--4", pages = "313--331", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65H05", MRnumber = "1 639 076", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/12/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/12/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Mansouri:1998:EPN, author = "N. Mansouri and J. P. Kern{\'e}vez", title = "Estimation of parameters in nonlinear problems", journal = j-NUMER-ALGORITHMS, volume = "17", number = "3--4", pages = "333--343", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Lxx", MRnumber = "1 639 080", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/12/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/12/7/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Papageorgiou:1998:SSD, author = "G. Papageorgiou and I. Th. Famelis and Ch. Tsitouras", title = "A {$P$}-stable singly diagonally implicit {Runge--Kutta-Nystr{\"o}m} method", journal = j-NUMER-ALGORITHMS, volume = "17", number = "3--4", pages = "345--353", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Lxx", MRnumber = "1 639 084", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/12/8/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/12/8/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Tovbis:1998:EHC, author = "Alexander Tovbis", title = "Erratum: {``Homoclinic connections and numerical integration'' [Numer. Algorithms {\bf 14} (1997), no. 1, 261--267; MR 98c:58153]}", journal = j-NUMER-ALGORITHMS, volume = "17", number = "3--4", pages = "355--355", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Lxx (65Dxx)", MRnumber = "1 639 088", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", note = "See \cite{Tovbis:1997:HCN}.", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/12/9/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/12/9/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Anonymous:1998:BRa, author = "Anonymous", title = "Book reviews", journal = j-NUMER-ALGORITHMS, volume = "17", number = "3--4", pages = "357--358", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/12/10/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/12/10/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Homeier:1998:AHC, author = "Herbert H. H. Homeier", title = "An asymptotically hierarchy-consistent, iterative sequence transformation for convergence acceleration of {Fourier} series", journal = j-NUMER-ALGORITHMS, volume = "18", number = "1", pages = "1--30", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/13/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/13/2/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "914.65140", } @Article{DeSamblanx:1998:NLI, author = "Gorik {De Samblanx} and Adhemar Bultheel", title = "Nested {Lanczos}: Implicitly restarting an unsymmetric {Lanczos} algorithm", journal = j-NUMER-ALGORITHMS, volume = "18", number = "1", pages = "31--50", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/13/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/13/3/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "924.65031", } @Article{Bartoszewski:1998:CTS, author = "Z. Bartoszewski and Z. Jackiewicz", title = "Construction of two-step {Runge--Kutta} methods of high order for ordinary differential equations", journal = j-NUMER-ALGORITHMS, volume = "18", number = "1", pages = "51--70", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/13/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/13/4/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "916.65083", } @Article{Bristeau:1998:ACG, author = "M. O. Bristeau and J. Erhel", title = "Augmented conjugate gradient. {Application} in an iterative process for the solution of scattering problems", journal = j-NUMER-ALGORITHMS, volume = "18", number = "1", pages = "71--90", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/13/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/13/5/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "924.65024", } @Article{Huber:1998:PEG, author = "Birkett Huber and Jan Verschelde", title = "Polyhedral end games for polynomial continuation", journal = j-NUMER-ALGORITHMS, volume = "18", number = "1", pages = "91--108", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/13/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/13/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Anonymous:1998:BRb, author = "Anonymous", title = "Book reviews", journal = j-NUMER-ALGORITHMS, volume = "18", number = "1", pages = "109--112", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:54 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/13/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/13/6/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Sidi:1998:UBC, author = "Avram Sidi and Yair Shapira", title = "Upper bounds for convergence rates of acceleration methods with initial iterations", journal = j-NUMER-ALGORITHMS, volume = "18", number = "2", pages = "113--132", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:55 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/14/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/14/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Daripa:1998:SIT, author = "Prabir Daripa and Daoud Mashat", title = "Singular integral transforms and fast numerical algorithms", journal = j-NUMER-ALGORITHMS, volume = "18", number = "2", pages = "133--157", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:55 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/14/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/14/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Daripa:1998:ENN, author = "Prabir Daripa and Daoud Mashat", title = "An efficient and novel numerical method for quasiconformal mappings of doubly connected domains", journal = j-NUMER-ALGORITHMS, volume = "18", number = "2", pages = "159--175", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:55 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/14/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/14/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Garcia-Palomares:1998:IPA, author = "Ubaldo M. Garc{\'\i}a-Palomares and Francisco J. Gonz{\'a}lez-Casta{\~n}o", title = "Incomplete projection algorithms for solving the convex feasibility problem", journal = j-NUMER-ALGORITHMS, volume = "18", number = "2", pages = "177--193", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:55 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/14/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/14/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Bar-On:1998:HPS, author = "Ilan Bar-On and Marcin Paprzycki", title = "High performance solution of the complex symmetric eigenproblem", journal = j-NUMER-ALGORITHMS, volume = "18", number = "2", pages = "195--208", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:55 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/14/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/14/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Gerstner:1998:NIU, author = "Thomas Gerstner and Michael Griebel", title = "Numerical integration using sparse grids", journal = j-NUMER-ALGORITHMS, volume = "18", number = "3--4", pages = "209--232", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:55 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/15/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/15/4/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "921.65022", } @Article{vanderHouwen:1998:SMS, author = "P. J. van der Houwen and E. Messina", title = "Splitting methods for second-order initial value problems", journal = j-NUMER-ALGORITHMS, volume = "18", number = "3--4", pages = "233--257", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L05 (65F10 65M20)", MRnumber = "99m:65128", MRreviewer = "Severiano Gonzalez-Pinto", bibdate = "Mon Sep 29 08:36:55 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/15/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/15/1/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "927.65087", } @Article{Segura:1998:GNM, author = "Javier Segura", title = "A global {Newton} method for the zeros of cylinder functions", journal = j-NUMER-ALGORITHMS, volume = "18", number = "3--4", pages = "259--276", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65H05 (33C10 65D20)", MRnumber = "99j:65092", bibdate = "Mon Sep 29 08:36:55 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/15/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/15/2/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "921.65037", } @Article{Essai:1998:WFG, author = "Azeddine Essai", title = "Weighted {FOM} and {GMRES} for solving nonsymmetric linear systems", journal = j-NUMER-ALGORITHMS, volume = "18", number = "3--4", pages = "277--292", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10", MRnumber = "99m:65059", MRreviewer = "Chun-Hua Guo", bibdate = "Mon Sep 29 08:36:55 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/15/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/15/3/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "926.65036", } @Article{Ariyawansa:1998:LCC, author = "K. A. Ariyawansa", title = "Local convergence of collinear scaling algorithms related to direct least-change secant update methods for minimization", journal = j-NUMER-ALGORITHMS, volume = "18", number = "3--4", pages = "293--320", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "90C30 (65K05)", MRnumber = "99k:90147", MRreviewer = "Jos{\'e} Mario Mart{\'\i}nez", bibdate = "Mon Sep 29 08:36:55 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/15/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/15/5/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "917.65056", } @Article{Espedal:1998:HND, author = "Magne S. Espedal and Xue-Cheng Tai and Ningning Yan", title = "A hybrid nonoverlapping domain decomposition scheme for advection dominated advection-diffusion problems", journal = j-NUMER-ALGORITHMS, volume = "18", number = "3--4", pages = "321--336", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N55 (76M25)", MRnumber = "99k:65115", MRreviewer = "Zheng Hui Xie", bibdate = "Mon Sep 29 08:36:55 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/15/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/15/6/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "916.65113", } @Article{Stynes:1998:FDA, author = "Martin Stynes and Lutz Tobiska", title = "A finite difference analysis of a streamline diffusion method on a {Shishkin} mesh", journal = j-NUMER-ALGORITHMS, volume = "18", number = "3--4", pages = "337--360", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L60 (65L12 65N99 76M20)", MRnumber = "2000k:65129", MRreviewer = "Long An Ying", bibdate = "Mon Sep 29 08:36:55 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/15/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/15/7/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "916.65108", } @Article{Bar-On:1998:SST, author = "Ilan Bar-On and Mauro Leoncini", title = "Stable solution of tridiagonal systems", journal = j-NUMER-ALGORITHMS, volume = "18", number = "3--4", pages = "361--388", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F05", MRnumber = "2000b:65045", MRreviewer = "Florica Luban", bibdate = "Mon Sep 29 08:36:55 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/15/8/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/15/8/fulltext.pdf", acknowledgement = ack-nhfb, xxnote = "Check pages numbers: overlaps with \cite{Anonymous:1998:BRc}.", ZMnumber = "919.65016", } @Article{Anonymous:1998:BRc, author = "Anonymous", title = "Book reviews", journal = j-NUMER-ALGORITHMS, volume = "18", number = "3--4", pages = "385--388", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Fri Oct 13 09:28:26 2000", bibsource = "http://www.math.psu.edu/dna/contents/na.html", acknowledgement = ack-nhfb, xxnote = "Check pages numbers: overlaps with \cite{Bar-On:1998:SST}.", } @Article{Anonymous:1998:P, author = "Anonymous", title = "Preface", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "0--0", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Alscher:1998:SML, author = "Christian Alscher and Wolf-J{\"u}rgen Beyn", title = "Simulating the motion of the leech: a biomechanical application of {DAEs}", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "1--12", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "73P20 (34A09 73F15 73V20 92C10)", MRnumber = "99j:73088", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Amodio:1998:ACC, author = "Pierluigi Amodio and Francesca Mazzia", title = "An algorithm for the computation of consistent initial values for differential-algebraic equations", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "13--23", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L99 (34A09 34A45 65L05)", MRnumber = "99k:65067", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/18/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/18/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Arnold:1998:NSI, author = "Martin Arnold and Ander Murua", title = "Non-stiff integrators for differential-algebraic systems of index $2$", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "25--41", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L80 (34A09 65L06)", MRnumber = "2000b:65141", MRreviewer = "Philip W. Sharp", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/17/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/17/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Beardmore:1998:SBP, author = "R. E. Beardmore", title = "Stability and bifurcation properties of index-$1$ {DAEs}", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "43--53", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "34A09 (34C23)", MRnumber = "99k:34003", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/14/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/14/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "946.34004", } @Article{Bond:1998:TTR, author = "Stephen D. Bond and Benedict J. Leimkuhler", title = "Time-transformations for reversible variable stepsize integration", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "55--71", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "70-08 (37M15 70F07 70F10 70H05)", MRnumber = "2000i:70004", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/19/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/19/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Campbell:1998:MSNa, author = "S. L. Campbell and R. Hollenbeck and K. Yeomans and Y. Zhong", title = "Mixed symbolic-numerical computations with general {DAEs}. {I}. {System} properties", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "73--83", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L99 (34-04 34A09)", MRnumber = "99m:65150", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/8/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/8/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Campbell:1998:MSNb, author = "Stephen L. Campbell and Wieslaw Marszalek", title = "Mixed symbolic-numerical computations with general {DAEs}. {II}. {An} applications case study", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "85--94", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L99 (34-04 34A09)", MRnumber = "99m:65151", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/9/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/9/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Holstad:1998:MSC, author = "Astrid Holstad", title = "Modelling subsurface coupled chemical reactions and fluid flow over long time periods", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "95--110", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "76S05 (76M25 80A32)", MRnumber = "1 668 350", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/7/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "928.76120", } @Article{Jeannerod:1998:GEE, author = "C. P. Jeannerod and J. Visconti", title = "Global error estimation for index-$1$ and -$2$ {DAEs}", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "111--125", month = sep, year = "1998", CODEN = "NUALEG", DOI = "http://dx.doi.org/10.1023/A:1019110608075", ISSN = "1017-1398", MRclass = "65L06 (34A09 65L70)", MRnumber = "2000b:65130", MRreviewer = "Neide Bertoldi Franco", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/11/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/11/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "917.65067", } @Article{LeVey:1998:SRS, author = "G. {Le Vey}", title = "Some remarks on solvability and various indices for implicit differential equations", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "127--145", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "34A09 (34A26)", MRnumber = "2000b:34003", MRreviewer = "Alexander Ostermann", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/13/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/13/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Macutan:1998:TFI, author = "Y. O. Macutan and G. Thomas", title = "Theory of formal integrability and {DAE}s: Effective computations", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "147--157", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "34A09 (34A26)", MRnumber = "2000c:34003", MRreviewer = "Alexander Ostermann", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/12/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/12/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "943.34001", } @Article{Mattheij:1998:SSL, author = "R. M. M. Mattheij and P. M. E. J. Wijckmans", title = "Sensitivity of solutions of linear {DAE} to perturbations of the system matrices", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "159--171", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "34A09 (65L05)", MRnumber = "2000a:34005", MRreviewer = "Michael Hanke", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/10/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/10/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Penski:1998:NSH, author = "Christian Penski", title = "A numerical scheme for highly oscillatory {DAEs} and its application to circuit simulation", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "173--181", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L05 (34A09)", MRnumber = "1 668 291", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Pogorelov:1998:DAE, author = "D. Pogorelov", title = "Differential-algebraic equations in multibody system modeling", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "183--194", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "70-08 (34A09 65L99 70E99)", MRnumber = "99j:70003", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/21/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/21/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Pryce:1998:SHI, author = "J. D. Pryce", title = "Solving high-index {DAEs} by {Taylor} series", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "195--211", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65L80 (34A09 34A45)", MRnumber = "2000h:65108", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/6/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "921.34014", } @Article{Reich:1998:MPE, author = "Sebastian Reich", title = "Modified potential energy functions for constrained molecular dynamics", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "213--221", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "70H05 (37J99 70-08 70F20 92E20)", MRnumber = "2000a:70028", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/5/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "938.92039", } @Article{Seiler:1998:PVM, author = "Werner M. Seiler", title = "Position versus momentum projections for constrained {Hamiltonian} systems", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "223--234", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "70H05 (65L05 70-08 70F20 70H45)", MRnumber = "2000m:70050", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/16/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/16/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "923.70004", } @Article{Simeon:1998:DPE, author = "B. Simeon", title = "{DAE}s and {PDE}s in elastic multibody systems", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "235--246", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "73K99 (34A09 65L05 73V20)", MRnumber = "99j:73081", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/15/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/15/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Tuomela:1998:RSO, author = "Jukka Tuomela", title = "On the resolution of singularities of ordinary differential systems", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "247--259", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "34A26 (34A09 58A20)", MRnumber = "2000b:34009", MRreviewer = "Michael Hanke", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Differential algebraic equations (Grenoble, 1997).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/20/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/20/fulltext.pdf", acknowledgement = ack-nhfb, ZMnumber = "915.58069", } @Article{Anonymous:1998:DP, author = "Anonymous", title = "{DAE} {'}97 participants", journal = j-NUMER-ALGORITHMS, volume = "19", number = "1--4", pages = "261--264", month = sep, year = "1998", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/16/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/16/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Plato:1999:CGM, author = "Robert Plato", title = "The conjugate gradient method for linear ill-posed problems with operator perturbations", journal = j-NUMER-ALGORITHMS, volume = "20", number = "1", pages = "1--22", month = mar, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/17/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/17/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Prevost:1999:PPP, author = "M. Pr{\'e}vost and D. Vekemans", title = "Partial Pad{\'e} prediction", journal = j-NUMER-ALGORITHMS, volume = "20", number = "1", pages = "23--50", month = mar, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/17/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/17/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Belghith:1999:SNA, author = "Safya Belghith", title = "Symbolic and numerical analysis for studying complex nonlinear behavior", journal = j-NUMER-ALGORITHMS, volume = "20", number = "1", pages = "51--61", month = mar, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/17/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/17/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Favati:1999:IPB, author = "P. Favati and G. Lotti and O. Menchi and F. Romani", title = "An infinite precision bracketing algorithm with guaranteed convergence", journal = j-NUMER-ALGORITHMS, volume = "20", number = "1", pages = "63--73", month = mar, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/17/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/17/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Benner:1999:SSG, author = "Peter Benner and Enrique S. Quintana-Ort{\'\i}", title = "Solving stable generalized {Lyapunov} equations with the matrix sign function", journal = j-NUMER-ALGORITHMS, volume = "20", number = "1", pages = "75--100", month = mar, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/17/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/17/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Anonymous:1999:BRa, author = "Anonymous", title = "Book reviews", journal = j-NUMER-ALGORITHMS, volume = "20", number = "1", pages = "101--105", month = mar, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:56 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/17/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/17/6/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Redivo-Zaglia:1999:P, author = "M. Redivo-Zaglia", title = "Preface", journal = j-NUMER-ALGORITHMS, volume = "20", number = "2--3", pages = "0--0", month = jun, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:57 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/18/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/18/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Redivo-Zaglia:1999:SLN, author = "M. Redivo-Zaglia", title = "The software library numeralgo", journal = j-NUMER-ALGORITHMS, volume = "20", number = "2--3", pages = "107--116", month = jun, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:57 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/18/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/18/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Alberty:1999:RAL, author = "Jochen Alberty and Carsten Carstensen and Stefan A. Funken", title = "Remarks around 50 lines of {Matlab}: short finite element implementation", journal = j-NUMER-ALGORITHMS, volume = "20", number = "2--3", pages = "117--137", month = jun, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:57 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/18/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/18/6/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{daRocha:1999:SFC, author = "Z{\'e}lia da Rocha", title = "{Shohat--Favard} and {Chebyshev}'s methods in $d$-orthogonality", journal = j-NUMER-ALGORITHMS, volume = "20", number = "2--3", pages = "139--164", month = jun, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:57 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/18/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/18/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Fierro:1999:UTM, author = "Ricardo D. Fierro and Per Christian Hansen and Peter S{\o}ren Kirk Hansen", title = "{UTV Tools}: {Matlab} templates for rank-revealing {UTV} decompositions", journal = j-NUMER-ALGORITHMS, volume = "20", number = "2--3", pages = "165--194", month = jun, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:57 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/18/9/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/18/9/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Hansen:1999:RTV, author = "Per Christian Hansen", title = "{Regularization Tools Version 3.0} for {Matlab 5.2}", journal = j-NUMER-ALGORITHMS, volume = "20", number = "2--3", pages = "195--196", month = jun, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:57 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/18/8/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/18/8/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Cecchi:1999:PRC, author = "M. Morandi Cecchi and S. De Marchi and D. Fasoli", title = "A package for representing {C1} interpolating surfaces: Application to the lagoon of Venice{'}s bed", journal = j-NUMER-ALGORITHMS, volume = "20", number = "2--3", pages = "197--215", month = jun, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:57 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/18/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/18/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Sadkane:1999:IVB, author = "Miloud Sadkane and Roger B. Sidje", title = "Implementation of a variable block {Davidson} method with deflation for solving large sparse eigenproblems", journal = j-NUMER-ALGORITHMS, volume = "20", number = "2--3", pages = "217--240", month = jun, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:57 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/18/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/18/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Stenger:1999:OIP, author = "F. Stenger and S.-{\AA}. Gustafson and B. Keyes and M. O{'}Reilly and K. Parker", title = "{ODE-IVP-PACK} via Sinc indefinite integration and {Newton}'s method", journal = j-NUMER-ALGORITHMS, volume = "20", number = "2--3", pages = "241--268", month = jun, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:57 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/18/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/18/7/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Butcher:1999:EOS, author = "J. C. Butcher and P. Chartier", title = "The effective order of singly-implicit {Runge--Kutta} methods", journal = j-NUMER-ALGORITHMS, volume = "20", number = "4", pages = "269--284", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/19/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/19/7/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Daras:1999:RAH, author = "Nicholas J. Daras", title = "Rational approximation to harmonic functions", journal = j-NUMER-ALGORITHMS, volume = "20", number = "4", pages = "285--301", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A20 (30E10)", MRnumber = "2001d:41014", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/19/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/19/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Sadok:1999:CNM, author = "H. Sadok", title = "{CMRH}: {A} new method for solving nonsymmetric linear systems based on the {Hessenberg} reduction algorithm", journal = j-NUMER-ALGORITHMS, volume = "20", number = "4", pages = "303--321", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/19/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/19/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Bini:1999:PES, author = "Dario Andrea Bini and Giuseppe Fiorentino", title = "On the parallel evaluation of a sparse polynomial at a point", journal = j-NUMER-ALGORITHMS, volume = "20", number = "4", pages = "323--329", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/19/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/19/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Gallivan:1999:RAP, author = "Kyle Gallivan and Paul Van Dooren", title = "Rational approximations of pre-filtered transfer functions via the {Lanczos} algorithm", journal = j-NUMER-ALGORITHMS, volume = "20", number = "4", pages = "331--342", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/19/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/19/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Spedicato:1999:GIL, author = "E. Spedicato and M. Zhu", title = "A generalization of the implicit {LU} algorithm to an arbitrary initial matrix", journal = j-NUMER-ALGORITHMS, volume = "20", number = "4", pages = "343--351", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/19/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/19/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Pietrus:1999:STA, author = "Alain Pi{\'e}trus", title = "Solving triangular algebraic systems by means of simultaneous iterations", journal = j-NUMER-ALGORITHMS, volume = "20", number = "4", pages = "353--368", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/19/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/19/6/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Paszkowski:1999:BGI, author = "Stefan Paszkowski", title = "The {Bloch--Gr{\"u}neisen} integrals. Some analytic expressions", journal = j-NUMER-ALGORITHMS, volume = "20", number = "4", pages = "369--378", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/19/8/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/19/8/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Anonymous:1999:BRb, author = "Anonymous", title = "Book reviews", journal = j-NUMER-ALGORITHMS, volume = "20", number = "4", pages = "379--382", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/19/9/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/19/9/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Anonymous:1999:P, author = "Anonymous", title = "Preface", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "0--0", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Amraoui:1999:RFD, author = "S. Amraoui and S. Lalaoui Rhali", title = "Retarded functional differential equations with nondense domain operators", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "1--8", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/27/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/27/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Anane:1999:FOS, author = "A. Anane and O. Chakrone and Z. El Allali", title = "First order spectrum for elliptic system and nonresonance problem", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "9--21", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/20/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/20/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Axelsson:1999:SAM, author = "Owe Axelsson", title = "Stabilization of algebraic multilevel iteration methods: additive methods", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "23--47", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N55", MRnumber = "2000k:65225", MRreviewer = "Larisa V. Maslovskaya", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Numerical methods for partial differential equations (Marrakech, 1998).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Baranger:1999:EEC, author = "J. Baranger and D. Esslaoui and A. Machmoum", title = "Error estimate for convection problem with characteristics method", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "49--56", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Benbachir:1999:SRP, author = "Sa{\^a}d Benbachir", title = "Symbolic research of the periodic solutions of the nonintegrable {Hamiltonian} system of {Ollongren}", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "57--77", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/25/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/25/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Bentbib:1999:CDM, author = "A. H. Bentbib", title = "Conjugate directions method for solving interval linear systems", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "79--86", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/9/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/9/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Biro:1999:NIC, author = "Zsolt Biro and Maria Vicsek", title = "Numerical interface curves for some nonlinear diffusion equations", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "87--96", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/11/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/11/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Brezinski:1999:KSM, author = "C. Brezinski", title = "{Krylov} subspace methods, biorthogonal polynomials and {Pad{\'e}-type} approximants", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "97--107", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10 (41A21 65F25)", MRnumber = "2001c:65037", MRreviewer = "David R. Hill", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Numerical methods for partial differential equations (Marrakech, 1998).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Calvetti:1999:BLM, author = "D. Calvetti and L. Reichel", title = "A block-{Lanczos} method for large continuation problems", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "109--118", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/15/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/15/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Chen:1999:GMG, author = "Jen-Yuan Chen and David R. Kincaid and David M. Young", title = "Generalizations and modifications of the {GMRES} iterative method", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "119--146", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/12/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/12/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Driver:1999:AZD, author = "Kathy Driver and Peter Duren", title = "Asymptotic zero distribution of hypergeometric polynomials", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "147--156", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/8/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/8/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Garcia-Palomares:1999:PPM, author = "Ubaldo M. Garc{\'\i}a-Palomares", title = "Preconditioning projection methods for solving algebraic linear systems", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "157--164", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/6/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Gaspar:1999:MTB, author = "C. G{\'a}sp{\'a}r", title = "Multigrid technique for biharmonic interpolation with application to dual and multiple reciprocity method", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "165--183", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/21/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/21/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Gonzalez-Concepcion:1999:ASR, author = "Concepci{\'o}n Gonz{\'a}lez-Concepci{\'o}n and Celina Pestano-Gabino", title = "Approximated solutions in rational form for systems of differential equations", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "185--203", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/14/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/14/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Graves-Morris:1999:ABV, author = "P. R. Graves-Morris and A. Salam", title = "Avoiding breakdown in {Van der Vorst}'s method", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "205--223", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/7/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Heyouni:1999:NGH, author = "M. Heyouni", title = "{Newton} Generalized {Hessenberg} method for solving nonlinear systems of equations", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "225--246", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/24/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/24/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Jourhmane:1999:AMI, author = "M. Jourhmane and A. Nachaoui", title = "An alternating method for an inverse {Cauchy} problem", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "247--260", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/26/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/26/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Calvez:1999:IRD, author = "C. Le Calvez and B. Molina", title = "Implicitly restarted and deflated {GMRES}", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "261--285", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/16/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/16/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Mikram:1999:CNF, author = "Jilali Mikram and Fouad Zinoun", title = "Computation of normal forms of {Hamiltonian} systems in the presence of {Poisson} commuting integrals", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "287--310", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/23/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/23/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Cecchi:1999:AWB, author = "M. Morandi Cecchi and F. Marcuzzi", title = "An approximate waves-bordering algorithm for adaptive finite elements analysis", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "311--322", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/10/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/10/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Nachaoui:1999:ISD, author = "Abdeljalil Nachaoui", title = "Iterative solution of the drift--diffusion equations", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "323--341", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/17/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/17/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Ouazzi:1999:MFS, author = "Abderrahim Ouazzi", title = "A mixed formulation of the {Stokes} equation in terms of $(w,p,u)$", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "343--352", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/19/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/19/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Spitaleri:1999:FDS, author = "Rosa Maria Spitaleri and Riccardo March and Daniele Arena", title = "Finite difference solution of {Euler} equations arising in variational image segmentation", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "353--365", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Wakrim:1999:STF, author = "Mohamed Wakrim and Fattehallah Ghadi", title = "On some three-field mixed systems", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "367--375", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/22/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/22/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Wimp:1999:CCO, author = "Jet Wimp", title = "Connection coefficients, orthogonal polynomials and the {WZ}-algorithms", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "377--386", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "33F10 (33C20 33C45 39-04 65P30 81U99)", MRnumber = "2001a:33019", MRreviewer = "Harold Exton", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", note = "Numerical methods for partial differential equations (Marrakech, 1998).", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/18/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/18/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Yserentant:1999:CGS, author = "Harry Yserentant", title = "Coarse grid spaces for domains with a complicated boundary", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "387--392", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/13/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/13/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Anonymous:1999:LP, author = "Anonymous", title = "List of participants", journal = j-NUMER-ALGORITHMS, volume = "21", number = "1--4", pages = "393--396", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:58 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/28/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/28/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Fischer:1999:FIM, author = "Bernd Fischer and Jan Modersitzki", title = "Fast inversion of matrices arising in image processing", journal = j-NUMER-ALGORITHMS, volume = "22", number = "1", pages = "1--11", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:59 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/21/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/21/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Pan:1999:BAS, author = "Victor Y. Pan and Elliot Linzer", title = "Bisection acceleration for the symmetric tridiagonal eigenvalue problem", journal = j-NUMER-ALGORITHMS, volume = "22", number = "1", pages = "13--39", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:59 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/21/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/21/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Mainar:1999:EAC, author = "E. Mainar and J. M. Pe{\~n}a", title = "Error analysis of corner cutting algorithms", journal = j-NUMER-ALGORITHMS, volume = "22", number = "1", pages = "41--52", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D17", MRnumber = "2001d:65021", bibdate = "Mon Sep 29 08:36:59 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/21/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/21/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Lazzaro:1999:BBF, author = "Damiana Lazzaro", title = "Biorthogonal {$M$}-band filter construction using the lifting scheme", journal = j-NUMER-ALGORITHMS, volume = "22", number = "1", pages = "53--72", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65T60 (42C40 94A12)", MRnumber = "2000m:65169", MRreviewer = "Don Hong", bibdate = "Mon Sep 29 08:36:59 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/21/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/21/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Clavero:1999:HOM, author = "C. Clavero and J. L. Gracia and F. Lisbona", title = "High order methods on {Shishkin} meshes for singular perturbation problems of convection--diffusion type", journal = j-NUMER-ALGORITHMS, volume = "22", number = "1", pages = "73--97", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:59 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/21/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/21/6/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Al-Baali:1999:IHA, author = "Mehiddin Al-Baali", title = "Improved {Hessian} approximations for the limited memory {BFGS} method", journal = j-NUMER-ALGORITHMS, volume = "22", number = "1", pages = "99--112", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:36:59 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/21/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/21/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Broyden:1999:DCG, author = "C. G. Broyden and P. Foschi", title = "Duality in conjugate gradient methods", journal = j-NUMER-ALGORITHMS, volume = "22", number = "2", pages = "113--128", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:37:00 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/22/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/22/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Sirotkin:1999:PTL, author = "V. Sirotkin and P. Tarvainen", title = "Parallel two-level {Schwarz} methods for singularly perturbed elliptic problems", journal = j-NUMER-ALGORITHMS, volume = "22", number = "2", pages = "129--156", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65N55 (35B25)", MRnumber = "2000m:65151", MRreviewer = "Igor P. Boglaev", bibdate = "Mon Sep 29 08:37:00 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/22/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/22/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Cohen:1999:AIP, author = "Alan M. Cohen and David Levin", title = "Accelerating infinite products", journal = j-NUMER-ALGORITHMS, volume = "22", number = "2", pages = "157--165", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "40A20 (65B99)", MRnumber = "2000m:40004", MRreviewer = "Zuhe Shen", bibdate = "Mon Sep 29 08:37:00 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/22/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/22/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Chen:1999:GDQ, author = "Chang-New Chen", title = "Generalization of differential quadrature discretization", journal = j-NUMER-ALGORITHMS, volume = "22", number = "2", pages = "167--182", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:37:00 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/22/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/22/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Verlinden:1999:SRM, author = "Pierre Verlinden", title = "Stable rational modification of a weight", journal = j-NUMER-ALGORITHMS, volume = "22", number = "2", pages = "183--192", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65Q05 (33F05 39A10)", MRnumber = "2001h:65163", MRreviewer = "Adam Marlewski", bibdate = "Mon Sep 29 08:37:00 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/22/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/22/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Smoch:1999:SRA, author = "L. Smoch", title = "Some results about {GMRES} in the singular case", journal = j-NUMER-ALGORITHMS, volume = "22", number = "2", pages = "193--212", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F15", MRnumber = "2000m:65051", MRreviewer = "Guo Liang Chen", bibdate = "Mon Sep 29 08:37:00 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/22/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/22/6/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Chen:1999:NFD, author = "Guoting Chen and Jean Della Dora", title = "Normal forms for differentiable maps near a fixed point", journal = j-NUMER-ALGORITHMS, volume = "22", number = "2", pages = "213--230", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:37:00 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/22/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/22/7/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Anonymous:1999:BRc, author = "Anonymous", title = "Book reviews", journal = j-NUMER-ALGORITHMS, volume = "22", number = "2", pages = "231--235", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:37:00 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/22/8/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/22/8/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Butcher:1999:EVO, author = "J. C. Butcher and P. Chartier and Z. Jackiewicz", title = "Experiments with a variable-order type $1$ {DIMSIM} code", journal = j-NUMER-ALGORITHMS, volume = "22", number = "3--4", pages = "237--261", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:37:01 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/23/9/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/23/9/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Maple:1999:SHS, author = "Carsten R. Maple and Marco Marletta", title = "Solving {Hamiltonian} systems arising from {ODE} eigenproblems", journal = j-NUMER-ALGORITHMS, volume = "22", number = "3--4", pages = "263--284", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65P10 (34B05 65L10)", MRnumber = "2001c:65158", MRreviewer = "Sebastian Reich", bibdate = "Mon Sep 29 08:37:01 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/23/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/23/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Mazure:1999:BBM, author = "Marie-Laurence Mazure", title = "{Bernstein} bases in {M{\"u}ntz} spaces", journal = j-NUMER-ALGORITHMS, volume = "22", number = "3--4", pages = "285--304", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "41A50 (65D15)", MRnumber = "2001c:41042", MRreviewer = "Gianluca Vinti", bibdate = "Mon Sep 29 08:37:01 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/23/7/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/23/7/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Gomez:1999:ASA, author = "Manuel A. G{\'o}mez", title = "An {$O(n^2)$} active set algorithm for the solution of a parametric quadratic program", journal = j-NUMER-ALGORITHMS, volume = "22", number = "3--4", pages = "305--316", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "90C20 (90C31 90C60)", MRnumber = "2000m:90024", MRreviewer = "Joachim K{\"a}schel", bibdate = "Mon Sep 29 08:37:01 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/23/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/23/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Muhlbach:1999:RRG, author = "G. M{\"u}hlbach", title = "A recurrence relation for generalized divided differences with respect to {ECT}-systems", journal = j-NUMER-ALGORITHMS, volume = "22", number = "3--4", pages = "317--326", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65D05", MRnumber = "2000m:65016", bibdate = "Mon Sep 29 08:37:01 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/23/4/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/23/4/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Celorrio:1999:FCM, author = "Ricardo Celorrio and Francisco-Javier Sayas", title = "Full collocation methods for some boundary integral equations", journal = j-NUMER-ALGORITHMS, volume = "22", number = "3--4", pages = "327--351", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65R20 (45L05)", MRnumber = "2001e:65218", bibdate = "Mon Sep 29 08:37:01 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/23/5/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/23/5/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Meurant:1999:NEC, author = "G{\'e}rard Meurant", title = "Numerical experiments in computing bounds for the norm of the error in the preconditioned conjugate gradient algorithm", journal = j-NUMER-ALGORITHMS, volume = "22", number = "3--4", pages = "353--365", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:37:01 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/23/6/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/23/6/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Chien:1999:CDD, author = "C.-S. Chien and H.-S. Chou and B.-W. Jeng", title = "A continuation--domain decomposition algorithm for bifurcation problems", journal = j-NUMER-ALGORITHMS, volume = "22", number = "3--4", pages = "367--383", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65P30 (65N06)", MRnumber = "2001d:65168", MRreviewer = "Fu Ming Ma", bibdate = "Mon Sep 29 08:37:01 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/23/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/23/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Anonymous:1999:BRd, author = "Anonymous", title = "Book reviews", journal = j-NUMER-ALGORITHMS, volume = "22", number = "3--4", pages = "385--388", month = dec, year = "1999", CODEN = "NUALEG", ISSN = "1017-1398", bibdate = "Mon Sep 29 08:37:01 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.psu.edu/dna/contents/na.html", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/23/8/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/23/8/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Risler:2000:IAA, author = "Franck Risler and Christian Rey", title = "Iterative accelerating algorithms with {Krylov} subspaces for the solution to large-scale nonlinear problems", journal = j-NUMER-ALGORITHMS, volume = "23", number = "1", pages = "1--30", month = mar, year = "2000", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65H10 (65F30 65Y05)", MRnumber = "2001e:65088", MRreviewer = "Stefan A. Funken", bibdate = "Mon Sep 29 08:37:01 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/24/1/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/24/1/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Lewanowicz:2000:RRC, author = "Stanis{\l}aw Lewanowicz and Eduardo Godoy and Iv{\'a}n Area and Andr{\'e} Ronveaux and Alejandro Zarzo", title = "Recurrence relations for the coefficients of the {Fourier} series expansions with respect to $q$-classical orthogonal polynomials", journal = j-NUMER-ALGORITHMS, volume = "23", number = "1", pages = "31--50", month = mar, year = "2000", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "33D45 (33C45 33Fxx 39A13)", MRnumber = "1 767 103", bibdate = "Mon Sep 29 08:37:01 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/24/2/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/24/2/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{MagolumongaMade:2000:ECT, author = "Mardoch{\'e}e {Magolu monga Made} and Ben Polman", title = "Experimental comparison of three-dimensional point and line modified incomplete factorizations", journal = j-NUMER-ALGORITHMS, volume = "23", number = "1", pages = "51--70", month = mar, year = "2000", CODEN = "NUALEG", ISSN = "1017-1398", MRclass = "65F10 (65F35 65N22)", MRnumber = "2001a:65038", bibdate = "Mon Sep 29 08:37:01 MDT 2003", bibsource = "http://www.kluweronline.com/issn/1017-1398; MathSciNet database", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/24/3/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/24/3/fulltext.pdf", acknowledgement = ack-nhfb, } @Article{Borges:2000:PVF, author = "Leonardo Borges and Prab