Revisiting the core EP inverse and its extension to rectangular matrices. Issue 2 (19th February 2018)

• Record Type: Journal Article
• Authors: Ferreyra, D.E.; Levis, F.E.; Thome, N.
• Is Part Of: Quaestiones mathematicae. Volume 41:Issue 2(2018)
• Page Start: 265
• Page End: 281
• Publication Date: 2018-02-19
• Subjects: 15A09; Generalized inverses -- Moore-Penrose inverse -- core inverse -- generalized core inverse -- core EP inverse -- DMP generalized inverse; Mathematics -- Periodicals; 510.5
• DOI: 10.2989/16073606.2017.1377779
• Languages: English
• ISSNs: 1607-3606

Abstract

Abstract: In this paper, we revise the core EP inverse of a square matrix introduced by Prasad and Mohana in [12], Core EP inverse, Linear and Multilinear Algebra 62 (3) (2014), 792–802. Firstly, we give a new representation and a new characterization of the core EP inverse. Then, we study some properties of the core EP inverse by using a representation by block matrices. Secondly, we extend the notion of core EP inverse to rectangular matrices by means of a weighted core EP decomposition. Finally, we study some properties of weighted core EP inverses.