Relations between the orthogonal matrix polynomials on \([a,b]\), Dyukarev-Stieltjes parameters, and Schur complements

DOI10.1515/spma-2017-0023zbMath1407.30016OpenAlexW2782920969MaRDI QIDQ1698566

Abdon Eddy Choque Rivero

Publication date: 16 February 2018

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2017-0023

zbMATH Keywords

continued fractionsorthogonal matrix polynomialsresolvent matrixDyukarev-Stieltjes parameters

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Moment problems and interpolation problems in the complex plane (30E05) Continued fractions; complex-analytic aspects (30B70)

Related Items (6)

Hurwitz polynomials and orthogonal polynomials generated by Routh-Markov parameters ⋮ Three-term recurrence relation coefficients and continued fractions related to orthogonal matrix polynomials on the finite interval [a, b] ⋮ Explicit relation between two resolvent matrices of the truncated Hausdorff matrix moment problem ⋮ On the resolvent matrix of the truncated Hausdorff matrix moment problem ⋮ A Schur-Nevanlinna type algorithm for the truncated matricial Hausdorff moment problem ⋮ The matrix Toda equations for coefficients of a matrix three-term recurrence relation

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