Quasicomplete factorizations of rational matrix functions
type: Item
instance of: scholarly article
title: Quasicomplete factorizations of rational matrix functions
zbMATH Open document ID: 0889.15010
DOI: 10.1007/BF01195746
author: R. A. Zuidwijk
published in: Integral Equations and Operator Theory
publication date: 1998-06-22T00:00:00Z
review text: The author shows that any \(n\times n\) rational matrix function \(W\) which is analytic at infinity with value \(W(\infty)= I_n\) is the product \(W= W_1W_2\dots W_\rho\) of rational matrix functions \(W_1,W_2,\cdots,W_\rho\) of McMillan dergree one. Furthermore, such a factorization can be established with a number of factors not exceeding \(2\delta(W)- 1\), where \(\delta(W)\) denotes the McMillan degree of \(W\).
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 93B25
zbMATH DE Number: 1113528
zbMATH Keywords: quasicomplete factorizations
zbMATH Keywords: rational matrix function
zbMATH Keywords: McMillan dergree
reviewed by: Prem Narain
MaRDI profile type: Publication
Wikidata QID: Q114234027
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full work available at URL: https://doi.org/10.1007/bf01195746
OpenAlex ID: W2029063571
description: scientific article; zbMATH DE number 1113528