Numerical ranges of companion matrices
| dc.citation.epage | 218 | en_US |
| dc.citation.issue | 2-3 | en_US |
| dc.citation.spage | 202 | en_US |
| dc.citation.volume | 421 | en_US |
| dc.contributor.author | Gau, Hwa-Long | en_US |
| dc.contributor.author | Wu, Pei Yuan | en_US |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2014-12-08T15:06:32Z | |
| dc.date.available | 2014-12-08T15:06:32Z | |
| dc.date.issued | 2007-03-01 | en_US |
| 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.identifier.doi | 10.1016/j.laa.2006.03.037 | 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/j.laa.2006.03.037 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/5101 | |
| dc.identifier.wosnumber | WOS:000244291900003 | |
| 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 |