Bounds for Levinger's function of nonnegative almost skew-symmetric matrices

Psarrakos, PJ; Tsatsomeros, MJ

dc.contributor.author	Psarrakos, PJ	en
dc.contributor.author	Tsatsomeros, MJ	en
dc.date.accessioned	2014-03-01T01:23:40Z
dc.date.available	2014-03-01T01:23:40Z
dc.date.issued	2006	en
dc.identifier.issn	0024-3795	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17083
dc.subject	Levinger's function	en
dc.subject	Perron root	en
dc.subject	Perron vector	en
dc.subject	Tournament	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Function evaluation	en
dc.subject.other	Geometry	en
dc.subject.other	Mathematical transformations	en
dc.subject.other	Vectors	en
dc.subject.other	Levinger's function	en
dc.subject.other	Perron root	en
dc.subject.other	Perron vector	en
dc.subject.other	Tournament	en
dc.subject.other	Matrix algebra	en
dc.title	Bounds for Levinger's function of nonnegative almost skew-symmetric matrices	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.laa.2005.12.018	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.laa.2005.12.018	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	The analysis of the Perron eigenspace of a nonnegative matrix A whose symmetric part has rank one is continued. Improved bounds for the Perron root of Levinger's transformation (1-alpha)A + alpha A(t) (alpha is an element of [0, 1]) and its derivative are obtained. The relative geometry of the corresponding left and right Perron vectors is examined. The results are applied to tournament matrices to obtain a comparison result for their spectral radii. (c) 2006 Elsevier Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Linear Algebra and Its Applications	en
dc.identifier.doi	10.1016/j.laa.2005.12.018	en
dc.identifier.isi	ISI:000238971300036	en
dc.identifier.volume	416	en
dc.identifier.issue	2-3	en
dc.identifier.spage	759	en
dc.identifier.epage	772	en