Perturbations in the Nevai matrix class of orthogonal matrix polynomials

DOI10.1016/S0024-3795(01)00327-5zbMath0992.15022OpenAlexW2114611683MaRDI QIDQ5954856

Miguel A. Piñar, Francisco Marcellán, Hossain O. Yakhlef

Publication date: 28 April 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(01)00327-5

zbMATH Keywords

perturbationrecurrence relationorthogonal matrix polynomialsJacobi block matrixmatrix measures

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)

Related Items (8)

Relative asymptotics of matrix orthogonal polynomials for Uvarov perturbations: the degenerate case ⋮ On the Szegő transformation for some spectral perturbations of matrix measures ⋮ CMV block matrices for symmetric matrix measures on the unit circle ⋮ Relative asymptotics for orthogonal matrix polynomials ⋮ Matrix Uvarov transformation on the unit circle: asymptotic properties ⋮ A canonical Geronimus transformation for matrix orthogonal polynomials ⋮ On a Christoffel transformation for matrix measures supported on the unit circle ⋮ Relative asymptotics for orthogonal matrix polynomials with unbounded recurrence coefficients

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• THE SCATTERING PROBLEM FOR A DISCRETE STURM-LIOUVILLE OPERATOR
• Matrix Analysis
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• On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures
• Relative asymptotics for orthogonal matrix polynomials with convergent recurrence coefficients

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