The polar decomposition of block companion matrices

Psarrakos, P

dc.contributor.author	Psarrakos, P	en
dc.date.accessioned	2014-03-01T01:54:22Z
dc.date.available	2014-03-01T01:54:22Z
dc.date.issued	2005	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/27350
dc.subject	Eigenvalues	en
dc.subject	Matrix Polynomial	en
dc.subject	Polar Decomposition	en
dc.subject	Singular Value	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.publicationDate	2005	en
heal.abstract	Let L(λ) = Inλm + Am−1λm−1 + …+A1λ + A0 be an n × n monic matrix polynomial, and let CL 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 CL when the matrices A0 and Σj=1m−1AjA*j are nonsingular.	en
heal.journalName	Computers & Mathematics With Applications	en
dc.identifier.doi	10.1016/j.camwa.2005.02.014	en