ON THE SPECTRAL RADIUS OF HADAMARD PRODUCTS OF NONNEGATIVE MATRICES

被引：9
|
作者：
Chen, Dongjun [1 ]
Zhang, Yun [1 ]
机构：
[1] Huaibei Normal Univ, Sch Math Sci, Huaibei 235000, Peoples R China
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2015年 / 9卷 / 02期
关键词：
Hadamard product; nonnegative matrices; spectral radius; POSITIVE OPERATORS; INEQUALITIES; BOUNDS;
D O I：
10.15352/bjma/09-2-10
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present some spectral radius inequalities for nonnegative matrices. Using the ideas of Audenaert, we then prove the inequality which may be regarded as a Cauchy-Schwarz inequality for spectral radius of nonnegative matrices rho(A o B) <= [rho(A o A)]1/2[rho(B o B)]1/2. In addition, new proofs of some related results due to Horn and Zhang, Huang are also given. Finally, we interpolate Huang's inequality by proving.
引用
收藏
页码：127 / 133
页数：7
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