A new generalized inverse of matrices from core-EP decomposition
Rings and Algebras
2020-07-07 v1
Abstract
A new generalized inverse for a square matrix , called CCE-inverse, is established by the core-EP decomposition and Moore-Penrose inverse . We propose some characterizations of the CCE-inverse. Furthermore, two canonical forms of the CCE-inverse are presented. At last, we introduce the definitions of CCE-matrices and -CCE matrices, and prove that CCE-matrices are the same as -EP matrices studied by Wang and Liu in [The weak group matrix, Aequationes Mathematicae, 93(6): 1261-1273, 2019].
Keywords
Cite
@article{arxiv.2007.02364,
title = {A new generalized inverse of matrices from core-EP decomposition},
author = {Kezheng Zuo and Yu Li and Gaojun Luo},
journal= {arXiv preprint arXiv:2007.02364},
year = {2020}
}