完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Gau, Hwa-Long | en_US |
dc.contributor.author | Wu, Pei Yuan | en_US |
dc.date.accessioned | 2017-04-21T06:56:32Z | - |
dc.date.available | 2017-04-21T06:56:32Z | - |
dc.date.issued | 2016-09-01 | en_US |
dc.identifier.issn | 0024-3795 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1016/j.laa.2016.04.013 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/133868 | - |
dc.description.abstract | It is known that the numerical radius of the Hadamard product A circle B of two n-by-n matrices A and B is related to those of A and B by (a) w(A circle B) <= 2w(A)w(B), (b) w(A circle B) <= w(A)w(B) if one of A and B is normal, and (c) w(A circle B) <= (max(i) a(ii))w(B) if A = [a(ij)](i,j=1)(n) is positive semidefinite. In this paper, we give complete characterizations of A and B for which the equality is attained. The matrices involved can be considered as elaborate generalizations of the equality-attaining [GRAPHICS] and [GRAPHICS] for (a), [GRAPHICS] (vertical bar a(1)vertical bar >=vertical bar a(2)vertical bar) and [GRAPHICS] for (b), and [GRAPHICS] >= 0 (a(1) >= a(4)) and [GRAPHICS] for (c). (C) 2016 Elsevier Inc. All rights reserved. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Numerical radius | en_US |
dc.subject | Hadamrad product | en_US |
dc.subject | Normal matrix | en_US |
dc.subject | Positive semidefinite matrix | en_US |
dc.title | Numerical radius of Hadamard product of matrices | en_US |
dc.identifier.doi | 10.1016/j.laa.2016.04.013 | en_US |
dc.identifier.journal | LINEAR ALGEBRA AND ITS APPLICATIONS | en_US |
dc.citation.volume | 504 | en_US |
dc.citation.spage | 292 | en_US |
dc.citation.epage | 308 | 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:000377826100013 | en_US |
顯示於類別: | 期刊論文 |