正半定块矩阵的广岛型不等式的等价性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.