Almost skew-symmetric matrices

McDonald, JJ; Psarrakos, PJ; Tsatsomeros, MJ

dc.contributor.author	McDonald, JJ	en
dc.contributor.author	Psarrakos, PJ	en
dc.contributor.author	Tsatsomeros, MJ	en
dc.date.accessioned	2014-03-01T01:19:53Z
dc.date.available	2014-03-01T01:19:53Z
dc.date.issued	2004	en
dc.identifier.issn	0035-7596	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15743
dc.subject	Almost skew-symmetric matrix	en
dc.subject	Numerical range	en
dc.subject	Principal pivot transform	en
dc.subject	Tournament	en
dc.subject.classification	Mathematics	en
dc.subject.other	NUMERICAL RANGE	en
dc.title	Almost skew-symmetric matrices	en
heal.type	journalArticle	en
heal.identifier.primary	10.1216/rmjm/1181069905	en
heal.identifier.secondary	http://dx.doi.org/10.1216/rmjm/1181069905	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	Almost skew-symmetric matrices are real matrices whose symmetric parts have rank one. Using the notion of the numerical range, we obtain eigenvalue inequalities and a localization of the spectrum of an almost skew-symmetric matrix. We show that almost skew-symmetry is invariant under principal pivot transformation and inversion, and that the symmetric parts of Schur complements in almost skew-symmetric matrices have rank at most one. We also use affine combinations of A and A(t) to gain further insight into eigenvalue location and the numerical range of an almost skew-symmetric matrix.	en
heal.publisher	ROCKY MT MATH CONSORTIUM	en
heal.journalName	Rocky Mountain Journal of Mathematics	en
dc.identifier.doi	10.1216/rmjm/1181069905	en
dc.identifier.isi	ISI:000221861800018	en
dc.identifier.volume	34	en
dc.identifier.issue	1	en
dc.identifier.spage	269	en
dc.identifier.epage	288	en