Further characterizations of the CMP inverse of matrices. Issue 1 (2nd January 2023)

• Record Type: Journal Article
• Authors: Chen, Yang; Zuo, Kezheng; Wang, Qingwen; Fu, Zhimei
• Is Part Of: Linear & multilinear algebra. Volume 71:Issue 1(2023)
• Page Start: 100
• Page End: 119
• Publication Date: 2023-01-02
• Subjects: CMP inverse -- range space -- null space -- core-EP decomposition; 15A09; Algebras, Linear -- Periodicals; Multilinear algebra -- Periodicals; 512.505
• DOI: 10.1080/03081087.2021.2020708
• Languages: English
• ISSNs: 0308-1087

Abstract

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.