Some matrix inequalities of log-majorization type

被引：1
|
作者：
Xi, Bo-Yan [1 ]
Zhang, Fuzhen [2 ]
机构：
[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Inner Mongolia, Peoples R China
[2] Nova Southeastern Univ, Dept Math, Ft Lauderdale, FL 33314 USA
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2022年 / 65卷 / 01期
关键词：
Eigenvalue; Hua's determinant inequality; log-majorization; majorization inequality; EIGENVALUES; PRODUCT; DETERMINANT; SUM;
D O I：
10.4153/S0008439521000102
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is twofold: we present some matrix inequalities of log-majorization type for eigenvalues indexed by a sequence; we then apply our main theorem to generalize and improve the Hua-Marcus' inequalities. Our results are stronger and more general than the existing ones.
引用
收藏
页码：95 / 105
页数：11
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