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A note on the Geronimus transformation and Sobolev orthogonal polynomials

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorDerevyagin, Maxim
dc.contributor.authorMarcellán Español, Francisco José
dc.date.accessioned2016-07-19T10:21:08Z
dc.date.available2016-07-19T10:21:08Z
dc.date.issued2014-10
dc.description.abstractIn this note we recast the Geronimus transformation in the framework of polynomials orthogonal with respect to symmetric bilinear forms. We also show that the double Geronimus transformations lead to non-diagonal Sobolev type inner products.en
dc.description.sponsorshipThe research of MD is supported by the European Research Council under the European Union Seventh Framework Programme (FP7/2007-2013)/ERC grant agreement no. 259173. The research of FM has been supported by Dirección General de Investigación, Ministerio de Economía y Competitividad of Spain, grant MTM2012-36732-C03-01.en
dc.description.sponsorshipEuropean Community's Seventh Framework Programen
dc.format.extent18
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationNumerical Algorithms, 2014, v. 67, Issue 2, pp. 271-287en
dc.identifier.doihttps://doi.org/10.1007/s11075-013-9788-6
dc.identifier.issn1017-1398
dc.identifier.publicationfirstpage271
dc.identifier.publicationissue2
dc.identifier.publicationlastpage287
dc.identifier.publicationtitleNumerical algorithmsen
dc.identifier.publicationvolume67
dc.identifier.urihttps://hdl.handle.net/10016/23376
dc.identifier.uxxiAR/0000015716
dc.language.isoeng
dc.publisherSpringeren
dc.relation.projectIDGobierno de España. MTM2012-36732-C03-01es
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/259173
dc.rights© Springer 2014en
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticases
dc.subject.otherOrthogonal polynomialsen
dc.subject.otherGeronimus transformationen
dc.subject.otherSobolev inner productsen
dc.subject.otherCholesky decompositionen
dc.subject.otherJacobi matricesen
dc.titleA note on the Geronimus transformation and Sobolev orthogonal polynomialsen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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