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

The 𝔪-WG° inverse in the Minkowski space

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Liu Xiaoji¹,Zhang Kaiyue²,Jin Hongwei²³

Affiliation:

1. School of Education, Guangxi Vocational Normal University , 530007 , Nanning , P. R. China

2. School of Mathematics and Physics, Guangxi Minzu University , 530006 , Nanning , P. R. China

3. Center for Applied Mathematics of Guangxi, Guangxi Minzu University , 530006 , Nanning , P. R. China

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2023-0145/pdf

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