On the shape of numerical range of matrix polynomials

Nakazato, H; Psarrakos, P

dc.contributor.author	Nakazato, H	en
dc.contributor.author	Psarrakos, P	en
dc.date.accessioned	2014-03-01T01:16:53Z
dc.date.available	2014-03-01T01:16:53Z
dc.date.issued	2001	en
dc.identifier.issn	0024-3795	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14258
dc.subject	15A60	en
dc.subject	47A12	en
dc.subject	Boundary	en
dc.subject	Component	en
dc.subject	Matrix polynomial	en
dc.subject	Numerical range	en
dc.subject.classification	Mathematics, Applied	en
dc.title	On the shape of numerical range of matrix polynomials	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0024-3795(01)00374-3	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0024-3795(01)00374-3	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	The numerical range of an n x n matrix polynomial P (lambda) = A(m)lambda (m) +...+ A(1)lambda + A(0) is defined by W(P) = {lambda is an element of C: x*P(lambda )x = 0, x is an element of C-n, x not equal 0}. In this paper, we investigate the shape of W(P) by using the notion of local dimension. The numerical range of first order matrix polynomials is always simply connected. The special cases of diagonal matrix polynomials and 2 x 2 matrix polynomials are also considered. (C) 2001 Elsevier Science Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Linear Algebra and Its Applications	en
dc.identifier.doi	10.1016/S0024-3795(01)00374-3	en
dc.identifier.isi	ISI:000171862000009	en
dc.identifier.volume	338	en
dc.identifier.issue	1-3	en
dc.identifier.spage	105	en
dc.identifier.epage	123	en