EQUIVALENCE ON HIROSHIMA?S TYPE INEQUALITIES FOR POSITIVE SEMIDEFINITE BLOCK MATRICES

被引：0

作者：

ZHANG, Y. U. N. ^{[1
]}

ZHANG, H. A. I. B. O. ^{[1
]}

SHI, S. H. U. O. ^{[1
]}

机构：

[1] Huaibei Normal Univ, Sch Math Sci, Huaibei 235000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2023年 / 17卷 / 01期

基金：

美国国家科学基金会;

关键词：

Positive semidefinite block matrices; eigenvalue inequality; majorization;

D O I：

10.7153/jmi-2023-17-23

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that some Hiroshima's type inequalities for positive semidef-inite block matrices are equivalent. These interesting results are due to Hiroshima [Phys. Rev. Lett. 91, (2003), 057902], Lin and Wolkowicz [Linear Multilinear Algebra 60, 11-12 (2012), 1365-1368], Turkmen, Paksoy and Zhang [Linear Algebra Appl. 437, 6 (2012), 1305-1316], Zhang and Xu [J. Math. Inequal. 14, 4 (2020), 1383-1388], respectively.

引用

页码：341 / 347

页数：7

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