On the pseudospectra of matrix polynomials

Lancaster, P; Psarrakos, P

dc.contributor.author	Lancaster, P	en
dc.contributor.author	Psarrakos, P	en
dc.date.accessioned	2014-03-01T01:55:27Z
dc.date.available	2014-03-01T01:55:27Z
dc.date.issued	2006	en
dc.identifier.issn	08954798	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/27733
dc.subject	ε-pseudospectrum	en
dc.subject	Boundary	en
dc.subject	Eigenvalue	en
dc.subject	Matrix polynomial	en
dc.subject	Perturbation	en
dc.subject	Singular value	en
dc.subject	Stability	en
dc.subject.other	Algorithms	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Number theory	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Set theory	en
dc.subject.other	ε-pseudospectrum	en
dc.subject.other	Boundary	en
dc.subject.other	Eigenvalue	en
dc.subject.other	Matrix polynomial	en
dc.subject.other	Perturbation	en
dc.subject.other	Singular value	en
dc.subject.other	Polynomials	en
dc.title	On the pseudospectra of matrix polynomials	en
heal.type	journalArticle	en
heal.identifier.primary	10.1137/S0895479804441420	en
heal.identifier.secondary	http://dx.doi.org/10.1137/S0895479804441420	en
heal.publicationDate	2006	en
heal.abstract	The pseudospectra of a matrix polynomial P(λ) are sets of complex numbers that are eigenvalues of matrix polynomials which are near to P(λ); i.e., their coefficients are within some fixed magnitude of the coefficients of P(λ). Pseudospectra provide important insights into the sensitivity of eigenvalues under perturbations and have several applications. First, qualitative properties concerning boundedness and connected components of pseudospectra are obtained. Then an accurate continuation algorithm for the numerical determination of the boundary of pseudospectra of matrix polynomials is devised and illustrated. This algorithm is based on a prediction-correction scheme. © 2005 Society for Industrial and Applied Mathematics.	en
heal.journalName	SIAM Journal on Matrix Analysis and Applications	en
dc.identifier.doi	10.1137/S0895479804441420	en
dc.identifier.volume	27	en
dc.identifier.issue	1	en
dc.identifier.spage	115	en
dc.identifier.epage	129	en