The generalized Levinger transformation

dc.creator	Adam, M.	en
dc.creator	Maroulas, J.	en
dc.date.accessioned	2015-11-23T10:21:41Z
dc.date.available	2015-11-23T10:21:41Z
dc.date.issued	2010
dc.identifier	10.1016/j.cam.2009.11.051
dc.identifier.issn	0377-0427
dc.identifier.uri	http://hdl.handle.net/11615/25343
dc.description.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
dc.source	Journal of Computational and Applied Mathematics	en
dc.source.uri	<Go to ISI>://WOS:000275251600024
dc.subject	Numerical range	en
dc.subject	Generalized inverses	en
dc.subject	Perturbation theory	en
dc.subject	Eigenvalues-eigenvectors	en
dc.subject	Control and systems theory	en
dc.subject	Sensitivity	en
dc.subject	NUMERICAL RANGE	en
dc.subject	MATRICES	en
dc.subject	Mathematics, Applied	en
dc.title	The generalized Levinger transformation	en
dc.type	journalArticle	en

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