On M-core-EP Inverse And M-WG Inverse Of Matrix In Minkowski Space

In this paper,we mainly study the m-core-EP inverse and the m-WG inverse of matrices in Minkowski space,and give the necessary and sufficient conditions for the existence of these two inverses and the related properties of these two inverses,and give their applications.This paper is mainly divided into four chapters,and the specific research content is as follows:In chapter 1,we mainly introduce the development history and background of the generalized inverse and the development background of the generalized inverse of Minkowski space.In chapter 2,we give the preliminary knowledge of this paper.In chapter 3,we define the m-core-EP inverse,prove its existence and uniqueness,and study its characteristions and applications.In chapter 4,we define the m-WG inverse,prove its existence and uniqueness,and study its characteristions and applications.