Recent trends on analytic properties of matrix orthonormal polynomials
type: Item
instance of: scholarly article
title: Recent trends on analytic properties of matrix orthonormal polynomials
zbMATH Open document ID: 1033.42026
publication date: 2003-05-05T00:00:00Z
full work available at URL: https://eudml.org/doc/123350
full work available at URL: pp127-141.html
review text: This paper gives an overview of the results on analytic properties of matrix orthogonal polynomials since 1990. Specifically, the contributions of the research groups at the Universidad de Sevilla\ (A. J. Duran c.s.) and at the Katholieke Universiteit Leuven (W. Van Assche c.s.) are highlighted. The paper complements the two following surveys by \textit{L. Rodman} [``Orthogonal matrix polynomials'', NATO ASI Ser., Ser. C 294, 345--362 (1990; Zbl 0703.42022)]{} and by \textit{A. Sinap} and \textit{W. Van Assche} [``Polynomial interpolation and Gaussian quadrature for matrix-valued functions'', Linear Algebra Appl. 207, 71--114 (1994; Zbl 0810.41028)].
reviewed by: Marcel G. de Bruin
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15A23
zbMATH DE Number: 1893814
zbMATH Keywords: matrix orthogonal polynomials
zbMATH Keywords: zeros
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: survey
author: Francisco Marcellán
author: Hossain O. Yakhlef
MaRDI profile type: Publication
published in: ETNA - Electronic Transactions on Numerical Analysis
description: scientific article; zbMATH DE number 1893814