Some singular value inequalities via convexity

被引：0
作者：
Leka, Zoltan [1 ]
机构：
[1] Royal Holloway Univ London, Egham, Surrey, England
来源：
LINEAR & MULTILINEAR ALGEBRA | 2019年 / 67卷 / 02期
关键词：
Trace; singular value; convexity; norms; NORMS;
D O I：
10.1080/03081087.2017.1418829
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If denote the Euclidean lengths of the column vectors of any matrix Z, then a fundamental inequality related to Hadamard products states that where is the ith singular value. In this paper, we shall offer a simple proof of this result via convexity arguments. In addition, this technique is applied to obtain some further singular value inequalities as well.
引用
收藏
页码：360 / 369
页数：10
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