The m-WG inverse in Minkowski space-Reference-Cited by-同舟云学术

The m-WG inverse in Minkowski space

Published:2022 Issue:4 Volume:36 Page:1125-1141
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Wu Hui¹,Wang Hongxing²,Jin Hongwei²

Affiliation:

1. School of Mathematics and Physics, Hechi University, Yizhou, China

2. School of Mathematics and Physics, Guangxi University for Nationalities, Nanning, China

Abstract

In this paper, we introduce them-WG inverse in Minkowski space. Firstly, we show the existence and the uniqueness of the m-WG inverse. Secondly, we give representations of the m-WG inverse. Thirdly, we characterize the m-WG inverse by applying a bordered matrix. In addition, we extend the generalized Cayley-Hamilton theorem to the m-WG inverse matrix. Finally, we apply the m-WG inverse to solve linear equations in Minkowski space.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference23 articles.

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4. A. Ben-Israel, T. N. E. Greville. Generalized Inverses: Theory and Applications, Springer-Verlag, New York, second ed., 2003.

5. G. Wang, Y. Wei, S. Qiao. Generalized Inverses: Theory and Computations, Beijing: Science Press, 2018.

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