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On Hankel Positive Definite Perturbations of Hankel Positive Definite Sequences and Interrelations to Orthogonal Matrix Polynomials

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Abstract

We derive a representation of orthogonal matrix polynomials on the real line as product of certain Schur complements and obtain matricial generalizations of well-known formulas for orthogonal scalar polynomials associated to a polynomial modified moment sequence.

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Authors and Affiliations

  1. Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Ciudad Universitaria, Morelia, Mich, C.P. 58048, México

    Abdon E. Choque Rivero

  2. Universität Leipzig, Mathematisches Institut, Augustusplatz 10, 04109 , Leipzig, Germany

    Conrad Mädler

Authors
  1. Abdon E. Choque Rivero
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  2. Conrad Mädler
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Correspondence to Abdon E. Choque Rivero.

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Communicated by Bernd Kirstein.

Research by A. E. Choque Rivero is partially supported by Conacyt grant No.153184, CIC-UMSNH, México.

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Choque Rivero, A.E., Mädler, C. On Hankel Positive Definite Perturbations of Hankel Positive Definite Sequences and Interrelations to Orthogonal Matrix Polynomials. Complex Anal. Oper. Theory 8, 1645–1698 (2014). https://doi.org/10.1007/s11785-013-0349-8

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