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http://hdl.handle.net/10773/8423
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 |
URI: | http://hdl.handle.net/10773/8423 |
DOI: | 10.1007/s11075-009-9355-3 |
ISSN: | 1017-1398 |
Publisher Version: | DOI 10.1007/s11075-009-9355-3 |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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BCFNumeralg.pdf | 212.8 kB | Adobe PDF | View/Open |
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