m-weak group MP inverse
Rings and Algebras
2024-11-04 v1
Abstract
In this paper, we introduce a new matrix decomposition called the m-Core-nilpotent decomposition which is an extension of the Core-nilpotent decomposition. By this new decomposition, we propose a new generalized inverse named the m-weak group MP inverse which unifies the DMP-inverse and weak core inverse. Some characterizations, properties and representations of the m-weak group MP inverse are presented. In addition, the proposed generalized inverse is applicable to solving a restricted matrix equation.
Keywords
Cite
@article{arxiv.2411.00022,
title = {m-weak group MP inverse},
author = {Wanlin Jiang and Jiale Gao and Xiangyu Zhang and Shengxi Zuo},
journal= {arXiv preprint arXiv:2411.00022},
year = {2024}
}