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Title: Matrix interpretation of multiple orthogonality
Authors: Branquinho, A. 
Cotrim, L. 
Moreno, A. Foulquié 
Keywords: Multiple-orthogonal polynomials; Hermite-Padé approximants; Block tridiagonal operator; Favard type theorem
Issue Date: 2008
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 08-57 (2008)
Abstract: 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-ortogonality 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-Pad´e approximation in matrix form is given.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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