The Q-D algorithm for transforming series expansions into a corresponding continued fraction: an extension to cope with zero coefficients

Detalhes bibliográficos
Autor(a) principal: de Andrade, EXL
Data de Publicação: 2003
Outros Autores: McCabe, J. H., Ranga, A. S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/S0377-0427(03)00389-3
http://hdl.handle.net/11449/21725
Resumo: An algorithm for deriving a continued fraction that corresponds to two series expansions simultaneously, when there are zero coefficients in one or both series, is given. It is based on using the Q-D algorithm to derive the corresponding fraction for two related series, and then transforming it into the required continued fraction. Two examples are given. (C) 2003 Elsevier B.V. All rights reserved.
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spelling The Q-D algorithm for transforming series expansions into a corresponding continued fraction: an extension to cope with zero coefficientscontinued fractionsPade approximantsAn algorithm for deriving a continued fraction that corresponds to two series expansions simultaneously, when there are zero coefficients in one or both series, is given. It is based on using the Q-D algorithm to derive the corresponding fraction for two related series, and then transforming it into the required continued fraction. Two examples are given. (C) 2003 Elsevier B.V. All rights reserved.Univ St Andrews, Inst Math, St Andrews KY16 9SS, Fife, ScotlandUniv Estadual Paulista, Dept Ciências Computacao & Estatist, IBILCE, BR-15054000 Sao Jose do Rio Preto, SP, BrazilUniv Estadual Paulista, Dept Ciências Computacao & Estatist, IBILCE, BR-15054000 Sao Jose do Rio Preto, SP, BrazilElsevier B.V.Univ St AndrewsUniversidade Estadual Paulista (Unesp)de Andrade, EXLMcCabe, J. H.Ranga, A. S.2014-05-20T14:01:34Z2014-05-20T14:01:34Z2003-07-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article487-497application/pdfhttp://dx.doi.org/10.1016/S0377-0427(03)00389-3Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 156, n. 2, p. 487-497, 2003.0377-0427http://hdl.handle.net/11449/2172510.1016/S0377-0427(03)00389-3WOS:000184198200014WOS000184198200014.pdf3587123309745610Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Computational and Applied Mathematics1.6320,938info:eu-repo/semantics/openAccess2023-11-01T06:09:32Zoai:repositorio.unesp.br:11449/21725Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-11-01T06:09:32Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv The Q-D algorithm for transforming series expansions into a corresponding continued fraction: an extension to cope with zero coefficients
title The Q-D algorithm for transforming series expansions into a corresponding continued fraction: an extension to cope with zero coefficients
spellingShingle The Q-D algorithm for transforming series expansions into a corresponding continued fraction: an extension to cope with zero coefficients
de Andrade, EXL
continued fractions
Pade approximants
title_short The Q-D algorithm for transforming series expansions into a corresponding continued fraction: an extension to cope with zero coefficients
title_full The Q-D algorithm for transforming series expansions into a corresponding continued fraction: an extension to cope with zero coefficients
title_fullStr The Q-D algorithm for transforming series expansions into a corresponding continued fraction: an extension to cope with zero coefficients
title_full_unstemmed The Q-D algorithm for transforming series expansions into a corresponding continued fraction: an extension to cope with zero coefficients
title_sort The Q-D algorithm for transforming series expansions into a corresponding continued fraction: an extension to cope with zero coefficients
author de Andrade, EXL
author_facet de Andrade, EXL
McCabe, J. H.
Ranga, A. S.
author_role author
author2 McCabe, J. H.
Ranga, A. S.
author2_role author
author
dc.contributor.none.fl_str_mv Univ St Andrews
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv de Andrade, EXL
McCabe, J. H.
Ranga, A. S.
dc.subject.por.fl_str_mv continued fractions
Pade approximants
topic continued fractions
Pade approximants
description An algorithm for deriving a continued fraction that corresponds to two series expansions simultaneously, when there are zero coefficients in one or both series, is given. It is based on using the Q-D algorithm to derive the corresponding fraction for two related series, and then transforming it into the required continued fraction. Two examples are given. (C) 2003 Elsevier B.V. All rights reserved.
publishDate 2003
dc.date.none.fl_str_mv 2003-07-15
2014-05-20T14:01:34Z
2014-05-20T14:01:34Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/S0377-0427(03)00389-3
Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 156, n. 2, p. 487-497, 2003.
0377-0427
http://hdl.handle.net/11449/21725
10.1016/S0377-0427(03)00389-3
WOS:000184198200014
WOS000184198200014.pdf
3587123309745610
url http://dx.doi.org/10.1016/S0377-0427(03)00389-3
http://hdl.handle.net/11449/21725
identifier_str_mv Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 156, n. 2, p. 487-497, 2003.
0377-0427
10.1016/S0377-0427(03)00389-3
WOS:000184198200014
WOS000184198200014.pdf
3587123309745610
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Computational and Applied Mathematics
1.632
0,938
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 487-497
application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799964777732112384

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