On Hankel positive definite perturbations of Hankel positive definite sequences and interrelations to orthogonal matrix polynomials
type: Item
instance of: scholarly article
title: On Hankel positive definite perturbations of Hankel positive definite sequences and interrelations to orthogonal matrix polynomials
zbMATH Open document ID: 1328.47017
author: Conrad Mädler
author: Abdon Eddy Choque Rivero
published in: Complex Analysis and Operator Theory
publication date: 2014-12-18T00:00:00Z
review text: The authors study how orthogonal matrix polynomials and related second kind polynomials which correspond to sequences generated by right(left)-sided \(\alpha\)-shifting [\textit{B. Fritzsche} et al., Linear Algebra Appl. 439, No. 12, 3893--3933 (2013; Zbl 1283.44003)] or by ``two-sided'' \(a-b\)-shifting are connected with polynomials generated by the original sequence of (matrix) moments. Furthermore, a matrix analogue of the Christoffel formula is given.
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 15B05
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 6381591
zbMATH Keywords: orthogonal matrix polynomials
zbMATH Keywords: perturbed polynomials
zbMATH Keywords: Hankel positive definite sequences of matrices
reviewed by: Alexei Lukashov
MaRDI profile type: Publication
full work available at URL: s11785-013-0349-8
OpenAlex ID: W2034942703
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DOI: 10.1007/S11785-013-0349-8
description: scientific article; zbMATH DE number 6381591