A method of explicit factorization of matrix functions and applications
type: Item
instance of: scholarly article
title: A method of explicit factorization of matrix functions and applications
zbMATH Open document ID: 0808.47019
DOI: 10.1007/BF01206294
author: V. Pereyra
published in: Integral Equations and Operator Theory
publication date: 1995-03-15T00:00:00Z
review text: A method of explicit factorization of \(2\times 2\) matrix functions is given. The authors reduce the method of this problem to two scalar barrier problems and a finite system of linear equations. Several examples of matrices are given and factorized. Applications to singular integral equations and equations with Toeplitz and Hankel matrices are given. The problem of solving such integral equations is reduced to the factorization of \(2\times 2\) matrix functions.
Mathematics Subject Classification ID: 47A68
Mathematics Subject Classification ID: 47A56
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 604808
zbMATH Keywords: explicit factorization of \(2\times 2\) matrix functions
zbMATH Keywords: scalar barrier problems
zbMATH Keywords: finite system of linear equations
zbMATH Keywords: singular integral equations
zbMATH Keywords: equations with Toeplitz and Hankel matrices
reviewed by: Takahiko Nakazi
MaRDI profile type: Publication
cites work: Explicit Wiener-Hopf factorization for certain non-rational matrix functions
cites work: Q4023123
cites work: Q5727906
cites work: Some results on the invertibility of Wiener-Hopf-Hankel operators
full work available at URL: https://doi.org/10.1007/bf01206294
OpenAlex ID: W2019633670
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description: scientific article; zbMATH DE number 604808