A note on the matrix valued q-d algorithm and matrix orthogonal polynomials on \([0,1]\) and \([0,\infty)\)
type: Item
instance of: scholarly article
title: A note on the matrix valued q-d algorithm and matrix orthogonal polynomials on \([0,1]\) and \([0,\infty)\)
zbMATH Open document ID: 1052.42022
DOI: 10.1016/S0377-0427(02)00555-1
published in: Journal of Computational and Applied Mathematics
publication date: 2003-02-23T00:00:00Z
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 1872890
zbMATH Keywords: matrix measure
zbMATH Keywords: matrix moments
zbMATH Keywords: q-d algorithm
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: chain sequence
author: Holger Dette
author: William J. Studden
MaRDI profile type: Publication
cites work: Q4170993
cites work: Q4369657
cites work: Matrix measures, moment spaces and Favard's theorem for the interval \([0,1]\) and \([0,\infty)\)
cites work: On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures
cites work: Markov's Theorem for Orthogonal Matrix Polynomials
cites work: Ratio asymptotics for orthogonal matrix polynomials
cites work: Orthogonal matrix polynomials: zeros and Blumenthal's theorem
cites work: Density Questions for the Truncated Matrix Moment Problem
cites work: Orthogonal matrix polynomials and higher-order recurrence relations
cites work: Q4156973
cites work: Laguerre matrix polynomials and systems of second-order differential equations
cites work: On the hypergeometric matrix function
cites work: Some properties of gamma and beta matrix functions
cites work: The growth of Laguerre matrix polynomials on bounded intervals.
cites work: Random walks
cites work: Q3482331
cites work: Polynomial interpolation and Gaussian quadrature for matrix-valued functions
cites work: Orthogonal matrix polynomials and applications
cites work: Vector orthogonal relations. Vector QD-algorithm
cites work: Convergence of the vector QD-algorithm. Zeros of vector orthogonal polynomials
cites work: Q5792555
cites work: Weak convergence of orthogonal polynomials
Recommended article: Matrix-valued orthogonal polynomials on the real line: some extensions of the classical theory
Recommended article: qd-Type Methods for Quasiseparable Matrices
Recommended article: Computation of matrix-valued formally orthogonal polynomials and applications
Recommended article: Convergence of the vector QD-algorithm. Zeros of vector orthogonal polynomials
Recommended article: Matrix Valued Orthogonal Polynomials on the Unit Circle: Some Extensions of the Classical Theory
Recommended article: Asymptotics of matrix valued orthogonal polynomials on \([-1, 1]\)
Recommended article: On orthogonal polynomials transformed by the QR algorithm
Recommended article: On theq-numerical range of matrices and matrix polynomials
Recommended article: On the pseudounitary \(QR\) algorithm for pseudo-Hermitian matrices
Recommended article: On the \(q\)-Dyson orthogonality problem
description: scientific article; zbMATH DE number 1872890