Matrix Wielandt inequality via the matrix geometric mean

被引：3
作者：
Fujimoto, Masayuki [1 ]
Seo, Yuki [1 ]
机构：
[1] Osaka Kyoiku Univ, Dept Math Educ, Osaka, Japan
来源：
LINEAR & MULTILINEAR ALGEBRA | 2018年 / 66卷 / 08期
基金：
日本学术振兴会;
关键词：
Cauchy-Schwarz inequality; matrix geometric mean; Wielandt inequality;
D O I：
10.1080/03081087.2017.1363154
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, by virtue of the matrix geometric mean and the polar decomposition, we present new Wielandt type inequalities for matrices of any size. To this end, based on results due to J.I. Fujii, we reform a matrix Cauchy-Schwarz inequality, which differs from ones due to Marshall and Olkin. As an application, we show a new block matrix version of Wielandt type inequalities under the block rank additivity condition.
引用
收藏
页码：1564 / 1577
页数：14
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