Affiliation:
1. School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China
Abstract
This paper focuses on two new matrix classes related to the CMP inverse of a square matrix, called the CMP and co-CMP matrices. Some of their characterizations are identified based on the core-EP decomposition and subspace operations. And, we show an equivalence relationship between the co-CMP matrix set and the intersection of the core matrix set and the co-EP matrix set. The nonsingularity of other matrices closely associated with the co-CMP matrices is considered, and their inverses are presented in a decomposition form.
Funder
Natural Science Foundation of China
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference21 articles.
1. A Generalized Inverse for Matrices;Penrose;Math. Proc. Cambrige Philos. Soc.,1955
2. Pseudo-inverses in associative rings and semigroups;Drazin;Am. Math. Mon.,1958
3. On a new generalized inverse for matrices of an arbitrary index;Malik;Appl. Math. Comput.,2014
4. On a new generalized inverse of matrices;Mehdipour;Linear Multilinear Algebr.,2018
5. The CMP inverse for rectangular matrices;Aequ. Math.,2018