Minimal Nonsquare <Emphasis Type="Italic">J</Emphasis>-Spectral Factorization,Generalized Bezoutians and Common Zeros for Rational Matrix Functions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Minimal Nonsquare J-Spectral Factorization,Generalized Bezoutians and Common Zeros for Rational Matrix Functions

Authors:	Mark?A.?Petersen author-information" > author-information__contact u-icon-before" > mailto:wskmap@puknet.puk.ac.za" title=" wskmap@puknet.puk.ac.za" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,André?C.M.?Ran

Affiliation:	(1) Department of Mathematics and Applied Mathematics, Potchefstroom University for CHE, X 6001 Potchefstroom, South Africa;(2) Divisie Wiskunde en Informatica, Faculteit Wiskunde en Informatica, Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands

Abstract:	The problem that we solve in this paper is to find (square or nonsquare)minimal J-spectral factors of a rational matrix function with constantsignature. Explicit formulas for these J-spectral factors are given in terms ofa solution of a particular algebraic Riccati equation. Also, we discuss the commonzero structure of rational matrix functions that arise from the analysisof nonsquare J-spectral factors. This zero structure is obtained in terms ofthe kernel of a generalized Bezoutian.

Keywords:	Primary: 47A68 47A56 Secondary: 15A24
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