Condition for the numerical range to contain an elliptic disc
| dc.citation.epage | 222 | en_US |
| dc.citation.issue | en_US | |
| dc.citation.spage | 213 | en_US |
| dc.citation.volume | 364 | en_US |
| dc.citation.woscount | 14 | |
| dc.contributor.author | Gau, HL | en_US |
| dc.contributor.author | Wu, PY | en_US |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | Department of Applied Mathematics | 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.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.identifier.doi | 10.1016/S0024-3795(02)00548-7 | en_US |
| dc.identifier.issn | 0024-3795 | en_US |
| dc.identifier.journal | LINEAR ALGEBRA AND ITS APPLICATIONS | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1016/S0024-3795(02)00548-7 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/27901 | |
| dc.identifier.wosnumber | WOS:000181824600013 | |
| 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 |