On the stability radius of matrix polynomials

Psarrakos, PJ; Tsatsomeros, MJ

dc.contributor.author	Psarrakos, PJ	en
dc.contributor.author	Tsatsomeros, MJ	en
dc.date.accessioned	2014-03-01T01:18:10Z
dc.date.available	2014-03-01T01:18:10Z
dc.date.issued	2002	en
dc.identifier.issn	0308-1087	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14834
dc.subject	Matrix polynomial	en
dc.subject	Numerical range	en
dc.subject	Pseudospectrum	en
dc.subject	Stability radius	en
dc.subject.classification	Mathematics	en
dc.subject.other	NUMERICAL RANGE	en
dc.subject.other	DISTANCE	en
dc.title	On the stability radius of matrix polynomials	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/03081080290019577	en
heal.identifier.secondary	http://dx.doi.org/10.1080/03081080290019577	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	The stability radius of a matrix polynomial P(lambda) relative to an open region Omega of the complex plane and its relation to the numerical range of P(lambda) are investigated. Using an expression of the stability radius in terms of lambda on the boundary of Omega and \\P(lambda)(-1)\\(2), a lower bound is obtained. This bound for the stability radius involves the distances of Omega to the connected components of the numerical range of P(lambda) and can be applied in conjunction with polygonal approximations of the numerical range. The special case of hyperbolic matrix polynomials is also considered.	en
heal.publisher	TAYLOR & FRANCIS LTD	en
heal.journalName	Linear and Multilinear Algebra	en
dc.identifier.doi	10.1080/03081080290019577	en
dc.identifier.isi	ISI:000174911500007	en
dc.identifier.volume	50	en
dc.identifier.issue	2	en
dc.identifier.spage	151	en
dc.identifier.epage	165	en