On Hankel positive definite perturbations of Hankel positive definite sequences and interrelations to orthogonal matrix polynomials

DOI10.1007/S11785-013-0349-8zbMath1328.47017OpenAlexW2034942703MaRDI QIDQ484241

Conrad Mädler, Abdon Eddy Choque Rivero

Publication date: 18 December 2014

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-013-0349-8

zbMATH Keywords

orthogonal matrix polynomialsHankel positive definite sequences of matricesperturbed polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Linear operator methods in interpolation, moment and extension problems (47A57) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (11)

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Cites Work

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• Transformations of matricial \({\alpha}\)-Stieltjes non-negative definite sequences
• On a Schur-type Algorithm for Sequences of Complex $${p} \times{q} $$ -matrices and its Interrelations with the Canonical Hankel Parametrization
• On a Special Parametrization of Matricial α-Stieltjes One-sided Non-negative Definite Sequences
• Matrix-valued orthogonal polynomials on the real line: some extensions of the classical theory

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