Perron-Frobenius type results on the numerical range

Maroulas, J; Psarrakos, PJ; Tsatsomeros, MJ

dc.contributor.author	Maroulas, J	en
dc.contributor.author	Psarrakos, PJ	en
dc.contributor.author	Tsatsomeros, MJ	en
dc.date.accessioned	2014-03-01T01:18:12Z
dc.date.available	2014-03-01T01:18:12Z
dc.date.issued	2002	en
dc.identifier.issn	0024-3795	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14859
dc.subject	numerical range	en
dc.subject	numerical radius	en
dc.subject	nonnegative matrix	en
dc.subject	Perron-Frobenius	en
dc.subject	k-cyclic matrix	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	MATRICES	en
dc.title	Perron-Frobenius type results on the numerical range	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0024-3795(01)00574-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0024-3795(01)00574-2	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	We present results connecting the shape of the numerical range to intrinsic properties of a matrix A. When A is a nonnegative matrix, these results are to a large extent analogous to the Perron-Frobenius theory, especially as it pertains to irreducibility and cyclicity in the combinatorial sense. Special attention is given to polygonal, circular and elliptic numerical ranges. The main vehicles for obtaining these results are the Hermitian and skew-Hermitian parts of A, as well as Levinger's transformation aA+(1-a)A*. (C) 2002 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)00574-2	en
dc.identifier.isi	ISI:000175847500005	en
dc.identifier.volume	348	en
dc.identifier.spage	49	en
dc.identifier.epage	62	en