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.
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页码：143 / 153
页数：11
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