On pseudospectra of matrix polynomials and their boundaries

Boulton, L; Lancaster, P; Psarrakos, P

dc.contributor.author	Boulton, L	en
dc.contributor.author	Lancaster, P	en
dc.contributor.author	Psarrakos, P	en
dc.date.accessioned	2014-03-01T01:28:55Z
dc.date.available	2014-03-01T01:28:55Z
dc.date.issued	2008	en
dc.identifier.issn	0025-5718	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19029
dc.subject	matrix polynomials	en
dc.subject	perturbation of eigenvalues	en
dc.subject	singular values	en
dc.subject	pseudospectra	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	EIGENVALUE PROBLEMS	en
dc.title	On pseudospectra of matrix polynomials and their boundaries	en
heal.type	journalArticle	en
heal.identifier.primary	10.1090/S0025-5718-07-02005-4	en
heal.identifier.secondary	http://dx.doi.org/10.1090/S0025-5718-07-02005-4	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In the first part of this paper (Sections 2-4), the main concern is with the boundary of the pseudospectrum of a matrix polynomial and, particularly, with smoothness properties of the boundary. In the second part (Sections 5-6), results are obtained concerning the number of connected components of pseudospectra, as well as results concerning matrix polynomials with multiple eigenvalues, or the proximity to such polynomials.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	MATHEMATICS OF COMPUTATION	en
dc.identifier.doi	10.1090/S0025-5718-07-02005-4	en
dc.identifier.isi	ISI:000251537000016	en
dc.identifier.volume	77	en
dc.identifier.issue	261	en
dc.identifier.spage	313	en
dc.identifier.epage	334	en