完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Lee, Hsin-Yi | en_US |
dc.date.accessioned | 2014-12-08T15:32:14Z | - |
dc.date.available | 2014-12-08T15:32:14Z | - |
dc.date.issued | 2013-11-01 | en_US |
dc.identifier.issn | 0024-3795 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1016/j.laa.2013.07.019 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/22677 | - |
dc.description.abstract | For any n-by-n matrix A, we consider the maximum number k = k(A) for which there is a k-by-k compression of A with all its diagonal entries in the boundary partial derivative W(A) of the numerical range W (A) of A. If A is a normal or a quadratic matrix, then the exact value of k(A) can be computed. For a matrix A of the form B circle plus C, we show that k(A) = 2 if and only if the numerical range of one summand, say, B is contained in the interior of the numerical range of the other summand C and k(C) = 2. For an irreducible matrix A, we can determine exactly when the value of k(A) equals the size of A. These are then applied to determine k(A) for a reducible matrix A of size 4 in terms of the shape of W (A). (C) 2013 Elsevier Inc. All rights reserved. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Numerical range | en_US |
dc.subject | Direct sum | en_US |
dc.subject | Compression | en_US |
dc.title | Diagonals and numerical ranges of direct sums of matrices | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1016/j.laa.2013.07.019 | en_US |
dc.identifier.journal | LINEAR ALGEBRA AND ITS APPLICATIONS | en_US |
dc.citation.volume | 439 | en_US |
dc.citation.issue | 9 | en_US |
dc.citation.spage | 2584 | en_US |
dc.citation.epage | 2597 | 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:000324966800006 | - |
dc.citation.woscount | 2 | - |
顯示於類別: | 期刊論文 |