闵科夫斯基空间中的ᵒ-WG°反演

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-12-08 DOI:10.1515/math-2023-0145

Xiaoji Liu, Kaiyue Zhang, Hongwei Jin

引用次数: 0

摘要

在本文中，我们研究了 m {\mathfrak{m}} -WG ∘ {}^{circ } 逆，它是 m {\mathfrak{m}} 的广义化。 -WG 在闵科夫斯基空间中的逆。我们首先证明了广义逆的存在性和唯一性。然后，我们讨论了 m {\mathfrak{m}} -WG ˲Sm_2F2} 的几个性质和特征。 -WG ∘ {}^{circ }逆的几个性质和特征。应用广义逆，我们得到了闵科夫斯基空间中一些矩阵方程的解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The 𝔪-WG° inverse in the Minkowski space

In this article, we study the

{\mathfrak{m}}

-WG

∘

{}^{\circ }

inverse which presents a generalization of the

{\mathfrak{m}}

-WG inverse in the Minkowski space. We first show the existence and the uniqueness of the generalized inverse. Then, we discuss several properties and characterizations of the

{\mathfrak{m}}

-WG

∘

{}^{\circ }

inverse by using the core-EP decomposition. Applying the generalized inverse, we obtain the solutions of some matrix equations in Minkowski space.

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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.

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