Equality of higher-rank numerical ranges of matrices
| dc.citation.epage | 638 | en_US |
| dc.citation.issue | 5 | en_US |
| dc.citation.spage | 626 | en_US |
| dc.citation.volume | 62 | en_US |
| dc.citation.woscount | 0 | |
| dc.contributor.author | Chang, Chi-Tung | en_US |
| dc.contributor.author | Gau, Hwa-Long | en_US |
| dc.contributor.author | Wang, Kuo-Zhong | en_US |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2014-12-08T15:35:48Z | |
| dc.date.available | 2014-12-08T15:35:48Z | |
| dc.date.issued | 2014-05-04 | en_US |
| dc.description.abstract | Let denote the rank- numerical range of an -by- complex matrix . We give a characterization for , where , via the compressions and the principal submatrices of . As an application, the matrix satisfying , where is the classical numerical range of and , is under consideration. We show that if for some , then is unitarily similar to , where is a 2-by-2 matrix, is a -by- matrix and . | en_US |
| dc.identifier.doi | 10.1080/03081087.2013.811500 | en_US |
| dc.identifier.issn | 0308-1087 | en_US |
| dc.identifier.journal | LINEAR & MULTILINEAR ALGEBRA | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1080/03081087.2013.811500 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/24195 | |
| dc.identifier.wosnumber | WOS:000334080600007 | |
| dc.language.iso | en_US | en_US |
| dc.subject | 15A60 | en_US |
| dc.subject | higher-rank numerical range | en_US |
| dc.subject | numerical range | en_US |
| dc.subject | compression | en_US |
| dc.subject | principal submatrix | en_US |
| dc.title | Equality of higher-rank numerical ranges of matrices | en_US |
| dc.type | Article | en_US |