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Matrix interpretation of multiple orthogonality

2009-12-18Journal article Open access
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datacite.subject.fosCiências Naturais::Matemáticas
datacite.subject.sdg03:Saúde de Qualidade
datacite.subject.sdg07:Energias Renováveis e Acessíveis
datacite.subject.sdg11:Cidades e Comunidades Sustentáveis
dc.contributor.authorBranquinho, A.
dc.contributor.authorCotrim, L.
dc.contributor.authorMoreno, A. Foulquié
dc.date.accessioned2025-11-26T11:53:12Z
dc.date.available2025-11-26T11:53:12Z
dc.date.issued2009-12-18
dc.descriptionFonte: https://www.researchgate.net/publication/220393901_Matrix_interpretation_of_multiple_orthogonality
dc.description.abstractIn this work we give an interpretation of a (s (d + 1) + 1)-term recurrence relation in terms of type II multiple orthogonal polynomials. We rewrite this recurrence relation in matrix form and we obtain a three-term recurrence relation for vector polynomials with matrix coefficients. We present a matrix interpretation of the type II multi-orthogonality conditions. We state a Favard type theorem and the expression for the resolvent function associated to the vector of linear functionals. Finally a reinterpretation of the type II Hermite-Padé approximation in matrix form is given.eng
dc.identifier.citationBranquinho, A., Cotrim, L. & Foulquié Moreno, A. Matrix interpretation of multiple orthogonality. Numer Algor 55, 19–37 (2010). https://doi.org/10.1007/s11075-009-9355-3.
dc.identifier.doi10.1007/s11075-009-9355-3
dc.identifier.eissn1572-9265
dc.identifier.issn1017-1398
dc.identifier.urihttp://hdl.handle.net/10400.8/14735
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer Nature
dc.relation.hasversionhttps://link.springer.com/article/10.1007/s11075-009-9355-3
dc.relation.ispartofNumerical Algorithms
dc.rights.uriN/A
dc.subjectMultiple-orthogonal polynomials
dc.subjectHermite-Pad´e approximants
dc.subjectblock tridiagonal operator
dc.subjectFavard type theorem
dc.titleMatrix interpretation of multiple orthogonalityeng
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage24
oaire.citation.startPage1
oaire.citation.titleNumerical Algorithms
oaire.versionhttp://purl.org/coar/version/c_ab4af688f83e57aa
person.familyNameCotrim
person.givenNameLuís
person.identifier.ciencia-idF51A-C52D-D5CE
person.identifier.orcid0000-0001-9256-9349
person.identifier.scopus-author-id35221310400
relation.isAuthorOfPublication91b93ea6-95cd-4f37-8e29-a6d0f31a397a
relation.isAuthorOfPublication.latestForDiscovery91b93ea6-95cd-4f37-8e29-a6d0f31a397a

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In this work we give an interpretation of a (s (d + 1) + 1)-term recurrence relation in terms of type II multiple orthogonal polynomials. We rewrite this recurrence relation in matrix form and we obtain a three-term recurrence relation for vector polynomials with matrix coefficients. We present a matrix interpretation of the type II multi-orthogonality conditions. We state a Favard type theorem and the expression for the resolvent function associated to the vector of linear functionals. Finally a reinterpretation of the type II Hermite-Padé approximation in matrix form is given.
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