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On the denominator values and barycentric weights of rational interpolants

dc.contributor.authorPolezzi, M.
dc.contributor.authorRanga, A. Sri
dc.contributor.institutionUniversidade Estadual de Mato Grosso do Sul (UEMS)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:24:43Z
dc.date.available2014-05-20T15:24:43Z
dc.date.issued2007-03-15
dc.description.abstractWe improve upon the method of Zhu and Zhu [A method for directly finding the denominator values of rational interpolants, J. Comput. Appl. Math. 148 (2002) 341-348] for finding the denominator values of rational interpolants, reducing considerably the number of arithmetical operations required for their computation. In a second stage, we determine the points (if existent) which can be discarded from the rational interpolation problem. Furthermore, when the interpolant has a linear denominator, we obtain a formula for the barycentric weights which is simpler than the one found by Berrut and Mittelmann [Matrices for the direct determination of the barycentric weights of rational interpolation, J. Comput. Appl. Math. 78 (1997) 355-370]. Subsequently, we give a necessary and sufficient condition for the rational interpolant to have a pole. (c) 2006 Elsevier B.V. All rights reserved.en
dc.description.affiliationUEMS, Cassilandia, MS, Brazil
dc.description.affiliationUniv Estadual Paulista, DCCE IBILCE, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, DCCE IBILCE, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.format.extent576-590
dc.identifierhttp://dx.doi.org/10.1016/j.cam.2006.01.013
dc.identifier.citationJournal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 200, n. 2, p. 576-590, 2007.
dc.identifier.doi10.1016/j.cam.2006.01.013
dc.identifier.fileWOS000244279500010.pdf
dc.identifier.issn0377-0427
dc.identifier.lattes3587123309745610
dc.identifier.urihttp://hdl.handle.net/11449/35282
dc.identifier.wosWOS:000244279500010
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofJournal of Computational and Applied Mathematics
dc.relation.ispartofjcr1.632
dc.relation.ispartofsjr0,938
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectinterpolationpt
dc.subjectrational interpolantspt
dc.subjectdenominator valuespt
dc.subjectbarycentric weightspt
dc.titleOn the denominator values and barycentric weights of rational interpolantsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
unesp.author.lattes3587123309745610[2]
unesp.author.orcid0000-0002-5124-8423[2]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentCiências da Computação e Estatística - IBILCEpt

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