Numerical ranges of companion matrices

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DC Field	Value	Language
dc.contributor.author	Gau, Hwa-Long	en_US
dc.contributor.author	Wu, Pei Yuan	en_US
dc.date.accessioned	2014-12-08T15:06:32Z	-
dc.date.available	2014-12-08T15:06:32Z	-
dc.date.issued	2007-03-01	en_US
dc.identifier.issn	0024-3795	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.laa.2006.03.037	en_US
dc.identifier.uri	http://hdl.handle.net/11536/5101	-
dc.description.abstract	We show that an n-by-n companion matrix A can have at most n line segments on the boundary a(A) of its numerical range W(A), and it has exactly n line segments on W(A) if and only if, for n odd, A is unitary, and, for n even, A is unitarily equivalent to the direct sum A(1) circle plus A(2) of two (n/2)-by-(n/2) companion matrices [GRAPHICS] with 1 <= vertical bar u vertical bar < tan(pi/n) + sec(pi/n). (c) 2006 Elsevier Inc. All rights reserved.	en_US
dc.language.iso	en_US	en_US
dc.subject	numerical range	en_US
dc.subject	companion matrix	en_US
dc.title	Numerical ranges of companion matrices	en_US
dc.type	Article; Proceedings Paper	en_US
dc.identifier.doi	10.1016/j.laa.2006.03.037	en_US
dc.identifier.journal	LINEAR ALGEBRA AND ITS APPLICATIONS	en_US
dc.citation.volume	421	en_US
dc.citation.issue	2-3	en_US
dc.citation.spage	202	en_US
dc.citation.epage	218	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.identifier.wosnumber	WOS:000244291900003	-
Appears in Collections:	Conferences Paper

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