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Orthogonal matrix polynomials whose differences are also orthogonal

Opened Access Orthogonal matrix polynomials whose differences are also orthogonal

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Autor: Durán Guardeño, Antonio José
Sánchez Canales, Vanesa
Departamento: Universidad de Sevilla. Departamento de Análisis Matemático
Fecha: 2014-02
Publicado en: Journal of Approximation Theory
Tipo de documento: Artículo
Resumen: We characterize orthogonal matrix polynomials (Pn)n whose differences (∇ Pn+1)n are also orthogonal by means of a discrete Pearson equation for the weight matrix W with respect to which the polynomials (Pn)n are orthogonal. We also construct some illustrative examples. In particular, we show that contrary to what happens in the scalar case, in the matrix orthogonality the discrete Pearson equation for the weight matrix W is, in general, independent of whether the orthogonal polynomials with respect to W are eigenfunctions of a second order difference operator with polynomial coefficients.
Tamaño: 236.5Kb
Formato: PDF

URI: http://hdl.handle.net/11441/31982

DOI: http://dx.doi.org/10.1016/j.jat.2013.11.012

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