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 Matrix interpretation of multiple orthogonality
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/8423

title: Matrix interpretation of multiple orthogonality
authors: 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.
URI: http://hdl.handle.net/10773/8423
ISSN: 1017-1398
publisher version/DOI: http://dx.doi.org/10.1007/s11075-009-9355-3
source: Numerical Algorithms
appears in collectionsCIDMA - Artigos

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