On condition numbers of polynomial eigenvalue problems with nonsingular leading coefficients

Papathanasiou, N; Psarrakos, P

dc.contributor.author	Papathanasiou, N	en
dc.contributor.author	Psarrakos, P	en
dc.date.accessioned	2014-03-01T01:58:01Z
dc.date.available	2014-03-01T01:58:01Z
dc.date.issued	2009	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28601
dc.relation.uri	http://arxiv.org/abs/0907.3859	en
dc.subject	Condition Number	en
dc.subject	Distance Measure	en
dc.subject	Eigenvalue Problem	en
dc.subject	Eigenvalues	en
dc.subject	Eigenvectors	en
dc.subject	Matrix Polynomial	en
dc.subject	Perturbation Bound	en
dc.subject	Perturbation Theory	en
dc.subject	Polynomial Eigenvalue Problem	en
dc.subject	Upper Bound	en
dc.subject	Growth Rate	en
dc.title	On condition numbers of polynomial eigenvalue problems with nonsingular leading coefficients	en
heal.type	journalArticle	en
heal.publicationDate	2009	en
heal.abstract	In this paper, we investigate condition numbers of eigenvalue problems ofmatrix polynomials with nonsingular leading coefficients, generalizingclassical results of matrix perturbation theory. We provide a relation betweenthe condition numbers of eigenvalues and the pseudospectral growth rate. Weobtain that if a simple eigenvalue of a matrix polynomial is ill-conditioned insome respects, then it is close to	en