On the computation of the Jordan canonical form of regular matrix polynomials

Kalogeropoulos, G; Psarrakos, P; Karcanias, N

dc.contributor.author	Kalogeropoulos, G	en
dc.contributor.author	Psarrakos, P	en
dc.contributor.author	Karcanias, N	en
dc.date.accessioned	2014-03-01T01:21:10Z
dc.date.available	2014-03-01T01:21:10Z
dc.date.issued	2004	en
dc.identifier.issn	0024-3795	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16108
dc.subject	Companion linearization	en
dc.subject	Jordan canonical pair	en
dc.subject	Jordan chain	en
dc.subject	Matrix polynomial	en
dc.subject	Segré characteristic	en
dc.subject	Weyr characteristic	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Computational methods	en
dc.subject.other	Differential equations	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Polynomials	en
dc.subject.other	Set theory	en
dc.subject.other	Companion linearization	en
dc.subject.other	Jordan canonical pair	en
dc.subject.other	Jordan chain	en
dc.subject.other	Matrix polynomial	en
dc.subject.other	Segre characteristics	en
dc.subject.other	Weyr characteristic	en
dc.subject.other	Matrix algebra	en
dc.title	On the computation of the Jordan canonical form of regular matrix polynomials	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.laa.2003.06.017	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.laa.2003.06.017	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	In this paper, an algorithm for the computation of the Jordan canonical form of regular matrix polynomials is proposed. The new method contains rank conditions of suitably defined block Toeplitz matrices and it does not require the computation of the Jordan chains or the Smith form. The Segre and Weyr characteristics are also considered. (C) 2003 Elsevier Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Linear Algebra and Its Applications	en
dc.identifier.doi	10.1016/j.laa.2003.06.017	en
dc.identifier.isi	ISI:000222100800010	en
dc.identifier.volume	385	en
dc.identifier.issue	1-3	en
dc.identifier.spage	117	en
dc.identifier.epage	130	en