Factorization of matrix functions and their inverses via power product expansions
type: Item
instance of: scholarly article
title: Factorization of matrix functions and their inverses via power product expansions
zbMATH Open document ID: 1167.15009
author: J. Martínez
published in: Linear Algebra and its Applications
publication date: 2009-06-04T00:00:00Z
review text: The author studies the conversion of a power series with matrix coefficients into an infinite product of certain elementary matrix functions. He also analyses the expansion of a power series with matrix coefficients as the inverse of an infinite product of elementary factors. Each elementary factor is the sum of the identity matrix and a certain matrix coefficient multiplied by a certain power of the variable. The two expansions provide representations of a matrix function and its inverse by infinite products of elementary factors. Also, estimates on the domain of convergence of the infinite products are given.
reviewed by: Andreas Arvanitoyeorgos
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 15A54
zbMATH DE Number: 5561693
zbMATH Keywords: power products
zbMATH Keywords: inverse power products
zbMATH Keywords: power series
zbMATH Keywords: matrix functions
zbMATH Keywords: expansions
zbMATH Keywords: factorization
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: j.laa.2008.12.019
OpenAlex ID: W2168950989
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DOI: 10.1016/J.LAA.2008.12.019
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description: scientific article; zbMATH DE number 5561693