The q-numerical range of matrix polynomials

Psarrakos, PJ; Vlamos, PM

dc.contributor.author	Psarrakos, PJ	en
dc.contributor.author	Vlamos, PM	en
dc.date.accessioned	2014-03-01T01:15:55Z
dc.date.available	2014-03-01T01:15:55Z
dc.date.issued	2000	en
dc.identifier.issn	0308-1087	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13829
dc.subject	matrix polynomial	en
dc.subject	q-numerical range	en
dc.subject	connected component	en
dc.subject.classification	Mathematics	en
dc.title	The q-numerical range of matrix polynomials	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/03081080008818627	en
heal.identifier.secondary	http://dx.doi.org/10.1080/03081080008818627	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	Let P(lambda) = A(m)lambda (m) + A(m-1)lambda (m-1) +...+A(1)lambda +A(0) be a matrix polynomial, where A(j)(j = 0, 1,...,m) are n x n complex matrices and lambda is a complex variable. For a q is an element of [0, 1] the q-numerical range of P(lambda) is defined as W-q[P(lambda)] = (lambda is an element of C : xP(lambda )y = 0, xx = yy = 1 and xy = q). In this paper we study W-q[P(lambda)] and our emphasis is on the geometrical properties of W-q[P(lambda)]. We consider the location of W-q[P(lambda)] in the complex plane and a theorem concerning the boundary of W-q[P(lambda] is also obtained.	en
heal.publisher	GORDON BREACH SCI PUBL LTD	en
heal.journalName	LINEAR & MULTILINEAR ALGEBRA	en
dc.identifier.doi	10.1080/03081080008818627	en
dc.identifier.isi	ISI:000165307700001	en
dc.identifier.volume	47	en
dc.identifier.issue	1	en
dc.identifier.spage	1	en
dc.identifier.epage	9	en