The Q-D algorithm for transforming series expansions into a corresponding continued fraction: an extension to cope with zero coefficients
Autor(a) principal: | |
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Data de Publicação: | 2003 |
Outros Autores: | , |
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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Repositório Institucional da UNESP |
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2946 |
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:29462024-08-05T16:35:54.192511Repositório 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_ |
1808128675987587072 |