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arXiv · 2411.01481

The W-weighted m-weak group MP inverse and its applications

Jiale Gao·Kezheng Zuo·Qing-Wen Wang
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Abstract

We extend the concept of the m-weak group MP inverse of a square matrix to a rectangular matrix, called the W-weighted m-weak group MP inverse, which also unifies the W-weighted weak core inverse and W-weighted DMP inverse. Some properties, characterizations and representations of this new generalized inverse are shown. Additionally, applications of the W-weighted weak group MP inverse are given in solving a constrained optimization problem and a class of consistent matrix equations.

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Jiale Gao, Kezheng Zuo, Qing-Wen Wang. 2024-11-03. The W-weighted m-weak group MP inverse and its applications. https://arxiv.org/abs/2411.01481

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