The distance from a matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue

Papathanasiou, N; Psarrakos, P

dc.contributor.author	Papathanasiou, N	en
dc.contributor.author	Psarrakos, P	en
dc.date.accessioned	2014-03-01T01:29:19Z
dc.date.available	2014-03-01T01:29:19Z
dc.date.issued	2008	en
dc.identifier.issn	0024-3795	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19217
dc.subject	matrix polynomial	en
dc.subject	eigenvalue	en
dc.subject	multiplicity	en
dc.subject	perturbation	en
dc.subject	epsilon-pseudospectrum	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	PSEUDOSPECTRA	en
dc.subject.other	SENSITIVITY	en
dc.subject.other	FORMULA	en
dc.title	The distance from a matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.laa.2008.04.005	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.laa.2008.04.005	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	For a matrix polynomial P(lambda) and a given complex number mu, we introduce a (spectral norm) distance from P(lambda) to the matrix polynomials that have mu as an eigenvalue of geometric multiplicity at least kappa, and a distance from P(X) to the matrix polynomials that have mu as a multiple eigenvalue. Then we compute the first distance and obtain bounds for the second one, constructing associated perturbations of P(lambda). (C) 2008 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.2008.04.005	en
dc.identifier.isi	ISI:000259435200006	en
dc.identifier.volume	429	en
dc.identifier.issue	7	en
dc.identifier.spage	1453	en
dc.identifier.epage	1477	en