INVESTIGADORES
LEVIS Fabian Eduardo
artículos
Título:
Revisiting the core EP inverse and its extension to rectangular matrices
Autor/es:
D. E. FERREYRA; F. E. LEVIS; N. THOME
Revista:
QUAESTIONES MATHEMATICAE
Editorial:
NATL INQUIRY SERVICES CENTRE PTY LTD
Referencias:
Lugar: Johannesburg ; Año: 2018 vol. 41 p. 265 - 281
ISSN:
1607-3606
Resumen:
In this paper, we revise the core EP inverse of a square matrix introduced by Prasad and Mohana in [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.
