The Perron eigenspace of nonnegative almost skew-symmetric matrices and Levinger's transformation

Psarrakos, PJ; Tsatsomeros, MJ

dc.contributor.author	Psarrakos, PJ	en
dc.contributor.author	Tsatsomeros, MJ	en
dc.date.accessioned	2014-03-01T01:19:37Z
dc.date.available	2014-03-01T01:19:37Z
dc.date.issued	2003	en
dc.identifier.issn	0024-3795	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15619
dc.subject	Almost skew-symmetric matrix	en
dc.subject	Levinger's transformation	en
dc.subject	Perron value	en
dc.subject	Perron vector	en
dc.subject	Q-Numerical range	en
dc.subject	Tournament	en
dc.subject.classification	Mathematics, Applied	en
dc.title	The Perron eigenspace of nonnegative almost skew-symmetric matrices and Levinger's transformation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0024-3795(02)00439-1	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0024-3795(02)00439-1	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	Let A be a nonnegative square matrix whose symmetric part has rank one. Tournament matrices are of this type up to a positive shift by 1/2I. When the symmetric part of A is irreducible, the Perron value and the left and right Perron vectors of L(A, alpha) = (1 - alpha)A + alphaA(t) are studied and compared as functions of alpha is an element of [0, 1/2]. In particular, upper bounds are obtained for both the Perron value and its derivative as functions of the parameter a via the notion of the q-numerical range. (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(02)00439-1	en
dc.identifier.isi	ISI:000180416900004	en
dc.identifier.volume	360	en
dc.identifier.spage	43	en
dc.identifier.epage	57	en