WEAK LOG-MAJORIZATION INEQUALITIES OF SINGULAR VALUES BETWEEN NORMAL MATRICES AND THEIR ABSOLUTE VALUES

被引：0
|
作者：
Chen, D. [1 ]
Zhang, Y. [1 ]
机构：
[1] Huaibei Normal Univ, Sch Math Sci, Huaibei 235000, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2016年 / 42卷 / 01期
关键词：
Unitarily invariant norms; singular values; weak log-majorization; normal matrices; Hadamard product;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents two main results that the singular values of the Hadamard product of normal matrices A(i) are weakly log-majorized by the singular values of the Hadamard product of vertical bar A(i)vertical bar and the singular values of the sum of normal matrices A(i) are weakly log-majorized by the singular values of the sum of vertical bar A(i)vertical bar. Some applications to these inequalities are also given. In addition, several related and new inequalities are obtained.
引用
收藏
页码：143 / 153
页数：11
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