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Orthogonal matrix polynomials with respect to a conjugate bilinear matrix moment functional: Basic theory

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Approximation Theory and its Applications

Abstract

In this paper basic results for a theory of orthogonal matrix polynomials with respect to a conjugate bilinear matrix moment functional are proposed. Properties of orthogonal matrix polynomial sequences including a three term matrix relationship are given. Positive definite conjugate bilinear matrix moment functionals are introduced and a characterization of positive definiteness in terms of a block Haenkel moment matrix is established. For each positive definite conjugate bilinear matrix moment functional an associated matrix inner product is defined.

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Authors and Affiliations

  1. Department of Applied Mathematics, Polytechnical Univerity of Valencia, P. O. Box 22, 012, Valencia, Spain

    Lucas Jödar & Emilio Defez

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  1. Lucas Jödar
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  2. Emilio Defez
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Jödar, L., Defez, E. Orthogonal matrix polynomials with respect to a conjugate bilinear matrix moment functional: Basic theory. Approx. Theory & its Appl. 13, 66–79 (1997). https://doi.org/10.1007/BF02836898

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  • DOI: https://doi.org/10.1007/BF02836898

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