完整後設資料紀錄
DC 欄位語言
dc.contributor.authorGau, Hwa-Longen_US
dc.contributor.authorWu, Pei Yuanen_US
dc.date.accessioned2017-04-21T06:56:32Z-
dc.date.available2017-04-21T06:56:32Z-
dc.date.issued2016-09-01en_US
dc.identifier.issn0024-3795en_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.laa.2016.04.013en_US
dc.identifier.urihttp://hdl.handle.net/11536/133868-
dc.description.abstractIt 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.isoen_USen_US
dc.subjectNumerical radiusen_US
dc.subjectHadamrad producten_US
dc.subjectNormal matrixen_US
dc.subjectPositive semidefinite matrixen_US
dc.titleNumerical radius of Hadamard product of matricesen_US
dc.identifier.doi10.1016/j.laa.2016.04.013en_US
dc.identifier.journalLINEAR ALGEBRA AND ITS APPLICATIONSen_US
dc.citation.volume504en_US
dc.citation.spage292en_US
dc.citation.epage308en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000377826100013en_US
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