The polar decomposition of block companion matrices

Kalogeropoulos, G; Psarrakos, P

dc.contributor.author	Kalogeropoulos, G	en
dc.contributor.author	Psarrakos, P	en
dc.date.accessioned	2014-03-01T01:23:11Z
dc.date.available	2014-03-01T01:23:11Z
dc.date.issued	2005	en
dc.identifier.issn	0898-1221	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16866
dc.subject	Block companion matrix	en
dc.subject	Eigenvalue	en
dc.subject	Matrix polynomial	en
dc.subject	Polar decomposition	en
dc.subject	Singular value	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Computer applications	en
dc.subject.other	Polynomials	en
dc.subject.other	Block companion matrix	en
dc.subject.other	Matrix polynomial	en
dc.subject.other	Polar decomposition	en
dc.subject.other	Singular values	en
dc.subject.other	Matrix algebra	en
dc.title	The polar decomposition of block companion matrices	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.camwa.2005.02.014	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.camwa.2005.02.014	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	Let L(lambda) = I(n)lambda(m) + A(m-1)lambda(m-1) + --- +A(1)lambda + A(0) be an n x n monic matrix polynomial, and let C-L be the corresponding block companion matrix. In this note, we extend a known result on scalar polynomials to obtain a formula for the polar decomposition of C-L when the matrices A(0) and Sigma(j = 1)(m-1) A(j)A(j)(*) are nonsingular. (c) 2005 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Mathematics with Applications	en
dc.identifier.doi	10.1016/j.camwa.2005.02.014	en
dc.identifier.isi	ISI:000231915100018	en
dc.identifier.volume	50	en
dc.identifier.issue	3-4	en
dc.identifier.spage	529	en
dc.identifier.epage	537	en