A new generalized inverse for rectangular matrices
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Published:2023-09-09
Issue:
Volume:
Page:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Author:
Wang Chengcheng1,
Zhu Huihui1ORCID
Affiliation:
1. School of Mathematics, Hefei University of Technology, Hefei 230009, P. R. China
Abstract
The goal of this paper is to introduce a new generalized inverse, called the MMP-inverse along a matrix. Let [Formula: see text] be the set of [Formula: see text] complex matrices. Given any [Formula: see text] and [Formula: see text], the matrix [Formula: see text] is called MMP-invertible along [Formula: see text] if there exists a matrix [Formula: see text] such that [Formula: see text] and [Formula: see text]. Such an [Formula: see text] is called an MMP-inverse of [Formula: see text] along [Formula: see text]. Some characterizations of the MMP-inverse along a matrix are given by its range and null space. Also, the connection between the MMP-inverse along a matrix and other generalized inverses is investigated. Finally, the formula for the MMP-inverse of matrices is expressed.
Funder
NSFC
China Postdoctoral Science Foundation
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
1 articles.
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