Matrix polynomials orthogonal with respect to a non-symmetric matrix of measures

DOI10.7494/OPMATH.2016.36.3.409zbMath1342.47045OpenAlexW2274672047MaRDI QIDQ2805264

Marcin J. Zygmunt

Publication date: 10 May 2016

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2016.36.3.409

zbMATH Keywords

matrix orthogonal polynomialsrecurrence formulablock Jacobi matricesmatrix of measures

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Hermitian, skew-Hermitian, and related matrices (15B57) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Matrix and operator functional equations (39B42)

Related Items (1)

Quantum Markov chains on the line: matrix orthogonal polynomials, spectral measures and their statistics

Cites Work

• Unnamed Item
• Orthogonal matrix polynomials and applications
• A generalization of Favard's theorem for polynomials satisfying a recurrence relation
• Non symmetric random walk on infinite graph
• The Analytic Theory of Matrix Orthogonal Polynomials
• Matrix Valued Orthogonal Polynomials Arising from Group Representation Theory and a Family of Quasi-Birth-and-Death Processes
• On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures
• Matrix Measures and Random Walks with a Block Tridiagonal Transition Matrix

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