Dyukarev-Stieltjes parameters of the truncated Hausdorff matrix moment problem

DOI10.1007/s40590-015-0083-5zbMath1390.44018OpenAlexW2231377799MaRDI QIDQ1695003

Abdon Eddy Choque Rivero

Publication date: 6 February 2018

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-015-0083-5

zbMATH Keywords

multiplicative decompositionresolvent matrixtruncated Hausdorff matrix moment problem

Mathematics Subject Classification ID

Moment problems (44A60)

Related Items (4)

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 ⋮ Relations between the orthogonal matrix polynomials on \([a,b\), Dyukarev-Stieltjes parameters, and Schur complements] ⋮ A Schur-Nevanlinna type algorithm for the truncated matricial Hausdorff moment problem

Cites Work

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• Markov's Theorem for Orthogonal Matrix Polynomials
• The Analytic Theory of Matrix Orthogonal Polynomials
• Multiplicative Structure of the Resolvent Matrix for the Truncated Hausdorff Matrix Moment Problem
• Fundamental aspects of the representation theory of Hermitian operators with deficiency index (𝑚,𝑚)
• Matrix-valued orthogonal polynomials on the real line: some extensions of the classical theory
• Investigations about continued fractions (reprint)
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