The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials
type: Item
instance of: scholarly article
title: The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials
zbMATH Open document ID: 0853.44006
DOI: 10.1016/0377-0427(95)00109-3
published in: Journal of Computational and Applied Mathematics
publication date: 1996-07-15T00:00:00Z
review text: The author discusses the operator moment problem for a \((p + 2)\)-diagonal nonsymmetric matrix operator and derives an explicit form of Favard theorem for vector orthogonal polynomials. The main technique employed involves the use of the development of a system of resolvent functions of the operator in a vector continued fraction by a modified Jacobi-Perron algorithm.
Mathematics Subject Classification ID: 44A60
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 30B70
zbMATH DE Number: 903573
zbMATH Keywords: Hermite-Padé approximants
zbMATH Keywords: operator moment problem
zbMATH Keywords: nonsymmetric matrix operator
zbMATH Keywords: Favard theorem
zbMATH Keywords: vector orthogonal polynomials
zbMATH Keywords: resolvent functions
zbMATH Keywords: vector continued fraction
zbMATH Keywords: Jacobi-Perron algorithm
author: V. A. Kaliaguine
reviewed by: R. K. Saxena
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00109-3
OpenAlex ID: W2065844923
cites work: The modified algorithm of Jacobi-Perron
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cites work: Weakly perfect systems of functions and multidimensional continued fractions
cites work: Vector orthogonal relations. Vector QD-algorithm
cites work: Q4035559
description: scientific article; zbMATH DE number 903573