The q-numerical range of matrix polynomials

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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 http://hdl.handle.net/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 : x*P(lambda )y = 0, x*x = y*y = 1 and x*y = 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
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

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