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Title: Matrix interpretation of multiple orthogonality
Author: Branquinho, Amílcar
Cotrím, Luís
Foulquié Moreno, Ana Pilar
Keywords: Multiple-orthogonal polynomials
Hermite-Padé approximants
Block tridiagonal operator
Favard type theorem
Issue Date: 2010
Publisher: Springer Verlag
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-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.
Peer review: yes
DOI: 10.1007/s11075-009-9355-3
ISSN: 1017-1398
Publisher Version: DOI 10.1007/s11075-009-9355-3
Appears in Collections:CIDMA - Artigos

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