The W-weighted m-weak group MP inverse and its applications
Functional Analysis
2024-11-05 v1
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.
Keywords
Cite
@article{arxiv.2411.01481,
title = {The W-weighted m-weak group MP inverse and its applications},
author = {Jiale Gao and Kezheng Zuo and Qing-Wen Wang},
journal= {arXiv preprint arXiv:2411.01481},
year = {2024}
}