Some matrix inequalities related to norm and singular values

被引：0

作者：

Xiao, Xiaoyan ^{[1
]}

Zhang, Feng ^{[1
]}

Cao, Yuxin ^{[2
]}

Zhang, Chunwen ^{[2
]}

机构：

[1] Southeast Univ, Dept Math, Chengxian Coll, Nanjing 210000, Peoples R China

[2] Southeast Univ, Dept Elect & Comp Engn, Chengxian Coll, Nanjing 210000, Peoples R China

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 02期

关键词：

singular values; weak log-majorization; normal matrices;

D O I：

10.3934/math.2024207

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this short note, we presented a new proof of a weak log-majorization inequality for normal matrices and obtained a singular value inequality related to positive semi-definite matrices. What's more, we also gave an example to show that some conditions in an existing norm inequality are necessary.

引用

页码：4205 / 4210

页数：6

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