REFINING EIGENVALUE INEQUALITIES FOR BLOCK 2x2 POSITIVE SEMIDEFINITE MATRICES

被引：0
|
作者：
Niezgoda, Marek [1 ]
机构：
[1] Pedag Univ Cracow, Inst Math, Podchorazych 2, PL-30084 Krakow, Poland
来源：
OPERATORS AND MATRICES | 2021年 / 15卷 / 02期
关键词：
Majorization; Hermitian matrix; positive semidefinite matrix; eigenvalue; G-increasing; function; gradient; COMMUTATION PRINCIPLES; MAJORIZATION; NORM;
D O I：
10.7153/oam-2021-15-36
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, by employing a result due to Bourin, Lee and Lin for block 2x2 positive semidefinite matrices, and by using gradients of Gateaux differentiable G-increasing functions, we show refinements of some majorization inequality by Lin and Wolkowicz for the eigenvalues of these block matrices. In particular, we establish a refinement for 2x2 version of Hiroshima's inequality. We also consider some special cases of the obtained result.
引用
收藏
页码：515 / 523
页数：9
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