Numerical range of linear pencils

Psarrakos, P

dc.contributor.author	Psarrakos, P	en
dc.date.accessioned	2014-03-01T01:49:30Z
dc.date.available	2014-03-01T01:49:30Z
dc.date.issued	2000	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25814
dc.subject	Eigenvalues	en
dc.subject	Indefinite Inner Product	en
dc.subject	Numerical Approximation	en
dc.subject	Numerical Range	en
dc.title	Numerical range of linear pencils	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0024-3795(00)00145-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0024-3795(00)00145-2	en
heal.publicationDate	2000	en
heal.abstract	Consider a linear pencil Aλ+B, where A and B are n×n complex matrices. The numerical range of Aλ+B is defined asW(Aλ+B)=λ∈C:x*(Aλ+B)x=0forsomenonzerox∈Cn.In this paper, we study the geometrical properties of W(Aλ+B), with emphasis to its boundary. An answer to the problem of the numerical approximation of W(Aλ+B), when one of the coefficients A and B is Hermitian, is presented. The numerical	en
heal.journalName	Linear Algebra and Its Applications	en
dc.identifier.doi	10.1016/S0024-3795(00)00145-2	en