Different characterizations of DMP-inverse of matrices. Issue 3 (11th February 2022)

• Record Type: Journal Article
• Authors: Zuo, Kezheng; Cvetković Ilić, Dragana; Cheng, Yingjie
• Is Part Of: Linear & multilinear algebra. Volume 70:Issue 3(2022)
• Page Start: 411
• Page End: 418
• Publication Date: 2022-02-11
• Subjects: DMP-inverse -- index -- core-EP decomposition; 15A09; Algebras, Linear -- Periodicals; Multilinear algebra -- Periodicals; 512.505
• DOI: 10.1080/03081087.2020.1729084
• Languages: English
• ISSNs: 0308-1087

Abstract

Abstract : 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 ( B, C ) -inverse and as a Drazin inverse. Also we present several different characterizations based on its range and null space as well some algebraic ones.