Further characterizations of the CMP inverse of matrices

2022/01/06 by Yang Chen, Kezheng Zuo, Qingwen Wang +2 · 1 citation
Computer Science · Mathematics · #Matrix Theory and Algorithms #Advanced Optimization Algorithms Research #Advanced Topics in Algebra

paper · doi:10.1080/03081087.2021.2020708

Abstract

In this paper, we give simple characterizations of the CMP inverse to be an EP matrix and simplify Theorem 2.10 in [New characterizations of the CMP inverse of matrices. Linear Multilinear Algebra. 2020;68(4):790–804]. Also, we characterize the CMP inverse of a matrix based on its range space and null space. Several different representations of the CMP inverse are given. In addition, some new characterizations of k-commutative equalities for some outer generalized inverse are investigated in terms of the CMP inverse.

Citations

• Core inverse of matrices
• Core–EP inverse
• The class ofm-EPandm-normal matrices

Cited by

• New characterizations of weak CMP inverses

Related

• Characterizations of k-commutative equalities for some outer generalized inverses
• On a new generalized inverse of matrices
• Extending EP matrices by means of recent generalized inverses
• EP Operators and Generalized Inverses
• A new generalized inverse of matrices from core-EP decomposition