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dc.contributor.authorBranquinho, A.-
dc.contributor.authorMarcellán, F.-
dc.contributor.authorMendes, A.-
dc.identifier.citationPré-Publicações DMUC. 09-41 (2009)en_US
dc.description.abstractIn this paper we study sequences of vector orthogonal polynomials. The vector orthogonality presented here provides a reinterpretation of what is known in the literature as matrix orthogonality. These systems of orthogonal polynomials satisfy three-term recurrence relations with matrix coefficients that do not obey to any type of symmetry. In this sense the vectorial reinterpretation allows us to study a non-symmetric case of the matrix orthogonality. We also prove that our systems of polynomials are indeed orthonormal with respect to a complex measure of orthogonality. Approximation problems of Hermite-Pad´e type are also discussed. Finally, a Markov’s type theorem is presented.en_US
dc.publisherCentro de Matemática da Universidade de Coimbraen_US
dc.subjectMatrix orthogonal polynomialsen_US
dc.subjectHermite-Padé problemsen_US
dc.subjectLinear functionalen_US
dc.subjectRecurrence relationen_US
dc.subjectTridiagonal operatoren_US
dc.subjectFavard theoremen_US
dc.subjectNevai classen_US
dc.titleVector interpretation of the matrix orthogonality on the real lineen_US
degois.publication.titlePré-Publicações DMUCen_US
item.fulltextCom Texto completo-
item.grantfulltextopen- de Ciências e Tecnologia, Universidade de Coimbra- de Coimbra- for Mathematics, University of Coimbra-
Appears in Collections:FCTUC Matemática - Vários
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