The resolvent matrix for the Hausdorff matrix moment problem expressed in terms of orthogonal matrix polynomials

DOI10.1007/s11785-012-0255-5zbMath1274.44011OpenAlexW1985911960MaRDI QIDQ371834

Abdon Eddy Choque Rivero

Publication date: 10 October 2013

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

Full work available at URL: https://doi.org/10.1007/s11785-012-0255-5

zbMATH Keywords

orthogonal matrix polynomialsresolvent matrixpositive definite casetruncated Hausdorff matrix moment problem

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems (44A60)

Related Items (12)

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 ⋮ Dyukarev-Stieltjes parameters of the truncated Hausdorff matrix moment problem ⋮ Relations between the orthogonal matrix polynomials on \([a,b\), Dyukarev-Stieltjes parameters, and Schur complements] ⋮ Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices ⋮ Transformations of matricial \({\alpha}\)-Stieltjes non-negative definite sequences ⋮ On Hankel positive definite perturbations of Hankel positive definite sequences and interrelations to orthogonal matrix polynomials ⋮ On the Structure of Hausdorff Moment Sequences of Complex Matrices ⋮ From the Potapov to the Krein-Nudel'man representation of the resolvent matrix of the truncated Hausdorff matrix moment problem ⋮ Moment perturbation of matrix polynomials ⋮ On Dyukarev's resolvent matrix for a truncated Stieltjes matrix moment problem under the view of orthogonal matrix polynomials

Cites Work

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• Scattering theory and matrix orthogonal polynomials on the real line
• The Analytic Theory of Matrix Orthogonal Polynomials
• P A M Dirac meets M G Krein: matrix orthogonal polynomials and Dirac's equation
• Matrix-valued orthogonal polynomials on the real line: some extensions of the classical theory

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