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

2024/11/03 by Jiale Gao, Kezheng Zuo, Gao, Jiale +3
Computer Science · #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2411.01481

openalex publication_date 2024/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Further properties and representations of the W-weighted m-weak group inverse
• m-weak group MP inverse
• The W-weighted m-weak core inverse
• Weighted weak group inverse for Hilbert space operators
• Weak group inverse