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arXiv · 2411.00022

m-weak group MP inverse

Wanlin Jiang·Jiale Gao·Xiangyu Zhang·Shengxi Zuo
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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.

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Wanlin Jiang, Jiale Gao, Xiangyu Zhang, Shengxi Zuo. 2024-10-28. m-weak group MP inverse. https://arxiv.org/abs/2411.00022

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