正半定块矩阵的广岛型不等式的等价性

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-23

Yun Zhang, Ha bo Zhang, Shuo Shi

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引用次数: 0

摘要

．本文证明了正半定块矩阵的一些广岛型不等式是等价的。这些有趣的结果是由于广岛[物理学]。[J] .数学学报，2003,26(1)，1365-1368。线性多线性代数的研究进展[J] .数学学报，2004,26(2)，357 - 357。数学。[j] .中国农业科学，2014(5)，388 - 388。

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Equivalence on Hiroshima's type inequalities for positive semidefinite block matrices

. In this paper, we prove that some Hiroshima’s type inequalities for positive semidefinite 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.

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来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.