Different characterizations of DMP-inverse of matrices

In this paper we discuss different properties of DMP-inverse of a square matrix introduced by Malik and Thome [On a new generalized inverse for matrices of an arbitrary index. Applied Mathematics and Computation. 2014;226: 575-580]. We characterize DMP-inverse of a square matrix as an outer inverse...

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Bibliographic Details
Published in:Linear & multilinear algebra 2022-02, Vol.70 (3), p.411-418
Main Authors: Zuo, Kezheng, Cvetković Ilić, Dragana, Cheng, Yingjie
Format: Article
Language:English
Subjects:
Applications of mathematics
core-EP decomposition
DMP-inverse
Generalized inverse
index
Mathematical analysis
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Summary:In this paper we discuss different properties of DMP-inverse of a square matrix introduced by Malik and Thome [On a new generalized inverse for matrices of an arbitrary index. Applied Mathematics and Computation. 2014;226: 575-580]. We characterize DMP-inverse of a square matrix as an outer inverse with prescribed range and null space, as a -inverse and as a Drazin inverse. Also we present several different characterizations based on its range and null space as well some algebraic ones.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2020.1729084