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Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle

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dc.contributor.authorRebocho, Maria das Neves
dc.contributor.authorCastillo, Kenier
dc.contributor.authorMarcellan, Francisco
dc.date.accessioned2020-02-06T11:18:37Z
dc.date.available2020-02-06T11:18:37Z
dc.date.issued2016
dc.description.abstractWe study the interlacing properties of zeros of para–orthogonal polynomials associated with a nontrivial probability measure supported on the unit circle dμ and para–orthogonal polynomials associated with a modification of dμ by the addition of a pure mass point, also called Uvarov transformation. Moreover, as a direct consequence of our approach, we present some results related with the Christoffel transformation.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationK. Castillo, F. Marcell an, and M.N. Rebocho, Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle, Numerical Algorithms 71 no.3 (2016) 699-714pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/9060
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.subjectPara-orthogonal polynomialspt_PT
dc.subjectInterlacing of zerospt_PT
dc.subjectUvarov transformationpt_PT
dc.subjectChristoffel transformationpt_PT
dc.titleZeros of para-orthogonal polynomials and linear spectral transformations on the unit circlept_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/COMPETE/PEst-C%2FMAT%2FUI0324%2F2013/PT
oaire.fundingStreamCOMPETE
person.familyNameRebocho
person.familyNameCastillo
person.familyNameMarcellan
person.givenNameMaria das Neves
person.givenNameKenier
person.givenNameFrancisco
person.identifier.ciencia-id3A16-8064-19AD
person.identifier.ciencia-id5712-E730-7FBF
person.identifier.orcid0000-0002-5004-6758
person.identifier.orcid0000-0003-4803-8182
person.identifier.orcid0000-0003-4331-4475
person.identifier.ridG-8714-2015
person.identifier.scopus-author-id23994228800
person.identifier.scopus-author-id36674562600
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.embargofctCedência de direitos de autor ao jornal onde o artigo foi publicado.pt_PT
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication80b4ecdd-f211-4a7d-978a-2dd30eb373be
relation.isAuthorOfPublication91ee40e8-6a9f-4f11-a3f3-8b3c20538568
relation.isAuthorOfPublication.latestForDiscovery91ee40e8-6a9f-4f11-a3f3-8b3c20538568
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relation.isProjectOfPublication.latestForDiscovery2a0254d6-671e-4b5b-99af-fca885f4c239

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