On computational aspects of discrete Sobolev inner products on the unit circle

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dc.contributor.authorCastillo, Kenier [UNESP]
dc.contributor.authorGarza, Lino G.
dc.contributor.authorMarcellán, Francisco
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidad Carlos III
dc.date.accessioned2014-05-27T11:30:42Z
dc.date.available2014-05-27T11:30:42Z
dc.date.issued2013-09-17
dc.description.abstractIn this paper, we show how to compute in O(n2) steps the Fourier coefficients associated with the Gelfand-Levitan approach for discrete Sobolev orthogonal polynomials on the unit circle when the support of the discrete component involving derivatives is located outside the closed unit disk. As a consequence, we deduce the outer relative asymptotics of these polynomials in terms of those associated with the original orthogonality measure. Moreover, we show how to recover the discrete part of our Sobolev inner product. © 2013 Elsevier Inc. All rights reserved.en
dc.description.affiliationDepartamento de Matemática Aplicada UNESP Universidade Estadual Paulista, 15054-00 São José do Rio Preto, SP
dc.description.affiliationDepartamento de Matemáticas Escuela Politécnica Superior Universidad Carlos III, Leganés-Madrid
dc.description.affiliationUnespDepartamento de Matemática Aplicada UNESP Universidade Estadual Paulista, 15054-00 São José do Rio Preto, SP
dc.format.extent452-460
dc.identifierhttp://dx.doi.org/10.1016/j.amc.2013.08.030
dc.identifier.citationApplied Mathematics and Computation, v. 223, p. 452-460.
dc.identifier.doi10.1016/j.amc.2013.08.030
dc.identifier.issn0096-3003
dc.identifier.scopus2-s2.0-84883781978
dc.identifier.urihttp://hdl.handle.net/11449/76572
dc.identifier.wosWOS:000326941900041
dc.language.isoeng
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.ispartofjcr2.300
dc.relation.ispartofsjr1,065
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectCholesky decomposition
dc.subjectComputational complexity
dc.subjectDiscrete Sobolev inner product
dc.subjectGelfand-Levitan approach
dc.subjectOuter relative asymptotics
dc.subjectAsymptotics
dc.subjectComputational aspects
dc.subjectDiscrete components
dc.subjectFourier coefficients
dc.subjectSobolev inner products
dc.subjectSobolev orthogonal polynomials
dc.subjectComputational methods
dc.subjectMathematical techniques
dc.subjectFourier analysis
dc.titleOn computational aspects of discrete Sobolev inner products on the unit circleen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
unesp.author.orcid0000-0003-4803-8182[1]
unesp.author.orcid0000-0002-2755-0235[2]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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Artigos - Matemática Aplicada - IBILCE