Work

The m-CCE Inverse in Minkowski Space and Its Applications

Year: 2025

Type: article

Abstract: In this paper, we introduce a new generalized inverse called m-CCE inverse which presents a generalization of the CCE inverse in Minkowski space by using the m-core-EP decomposition and the Minkowski inverse. We first show the existence and the uniqueness of the generalized inverse. Then, a number of basic properties and diverse characterizations are derived for the m-CCE inverse as well as its limit and integral expressions. Additionally, applications of the m-CCE inverse are given in solving a system of linear equations. Applying the generalized inverse, we introduce a binary relation based on the m-CCE inverse.

Source: Axioms

DOI: 10.3390/axioms14060413

Authors: Xin Tan, Xiaoji Liu

Institutions: Guangxi Minzu University, Guangxi Vocational Normal University

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funders: Natural Science Foundation of Guangxi Zhuang Autonomous Region, National Natural Science Foundation of China, Natural Science Foundation of Guangxi Province