Numerical radius of Hadamard product of matrices

Hwa Long Gau, Pei Yuan Wu

研究成果: 雜誌貢獻期刊論文同行評審

4 引文 斯高帕斯(Scopus)

摘要

It is known that the numerical radius of the Hadamard product A ○ B of two n-by-n matrices A and B is related to those of A and B by (a) w(A ○ B) ≤ 2w(A)w(B), (b) w(A ○ B) ≤ w(A)w(B) if one of A and B is normal, and (c) w(A ○ B) ≤ (maxiaii)w(B) if A = [aij]i,j=1n 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 (Equation Presented).

原文???core.languages.en_GB???
頁(從 - 到)292-308
頁數17
期刊Linear Algebra and Its Applications
504
DOIs
出版狀態已出版 - 1 9月 2016

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