Article

Revisiting the core EP inverse and its extension to rectangular matrices

Published in: Quaestiones Mathematicae
Volume 41 , issue 2 , 2018 , pages: 265–281

DOI: 10.2989/16073606.2017.1377779

Author(s): D.E. Ferreyra Facultad de Ciencias Exactas y Naturales, Argentina , F.E. Levis Facultad de Ciencias Exactas Físico Químicas y Naturales, Argentina , N. Thome Instituto Universitario de Matemática Multidisciplinar, Spain

Keywords: 15A09 , 15A09

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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.

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