The generalized Levinger transformation

Adam, M; Maroulas, J

dc.contributor.author	Adam, M	en
dc.contributor.author	Maroulas, J	en
dc.date.accessioned	2014-03-01T01:34:45Z
dc.date.available	2014-03-01T01:34:45Z
dc.date.issued	2010	en
dc.identifier.issn	0377-0427	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20837
dc.subject	Control and systems theory	en
dc.subject	Eigenvalues-eigenvectors	en
dc.subject	Generalized inverses	en
dc.subject	Numerical range	en
dc.subject	Perturbation theory	en
dc.subject	Sensitivity	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Eigenvalues	en
dc.subject.other	Eigenvectors	en
dc.subject.other	Generalized inverse	en
dc.subject.other	Numerical range	en
dc.subject.other	Perturbation theory	en
dc.subject.other	Sensitivity	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	System theory	en
dc.subject.other	Perturbation techniques	en
dc.title	The generalized Levinger transformation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.cam.2009.11.051	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cam.2009.11.051	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	In this paper, we present new results relating the numerical range of a matrix A with the generalized Levinger transformation L(A, alpha, beta) = alpha H-A + beta S-A, where H-A and S-A, are, respectively the Hermitian and skew-Hermitian parts of A. Using these results, we then derive expressions for eigenvalues and eigenvectors of the perturbed matrix A + L(E, alpha, beta), for a fixed matrix E and alpha, beta are real parameters. (C) 2009 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Journal of Computational and Applied Mathematics	en
dc.identifier.doi	10.1016/j.cam.2009.11.051	en
dc.identifier.isi	ISI:000275251600024	en
dc.identifier.volume	233	en
dc.identifier.issue	11	en
dc.identifier.spage	3018	en
dc.identifier.epage	3029	en