Condition for the numerical range to contain an elliptic disc

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DC Field	Value	Language
dc.contributor.author	Gau, HL	en_US
dc.contributor.author	Wu, PY	en_US
dc.date.accessioned	2014-12-08T15:40:57Z	-
dc.date.available	2014-12-08T15:40:57Z	-
dc.date.issued	2003-05-01	en_US
dc.identifier.issn	0024-3795	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/S0024-3795(02)00548-7	en_US
dc.identifier.uri	http://hdl.handle.net/11536/27901	-
dc.description.abstract	For an n-by-n matrix A and an elliptic disc E in the plane, we show that the sum of the number of common supporting lines and the number of common intersection points to E and the numerical range W (A) of A should be at least 2n + 1 in order to guarantee that E be contained in W(A). This generalizes previous results of Anderson and Thompson. As an application, our result is used to verify a special case of the Poncelet property conjecture. (C) 2003 Elsevier Science Inc. All rights reserved.	en_US
dc.language.iso	en_US	en_US
dc.subject	numerical range	en_US
dc.subject	Kippenhahn curve	en_US
dc.subject	Poncelet property	en_US
dc.title	Condition for the numerical range to contain an elliptic disc	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1016/S0024-3795(02)00548-7	en_US
dc.identifier.journal	LINEAR ALGEBRA AND ITS APPLICATIONS	en_US
dc.citation.volume	364	en_US
dc.citation.issue		en_US
dc.citation.spage	213	en_US
dc.citation.epage	222	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:000181824600013	-
dc.citation.woscount	14	-
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