A weak group inverse for rectangular matrices

FERREYRA, D.E.; ORQUERA, V.; THOME, N.

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS

REAL ACAD CIENCIAS EXACTAS FISICAS & NATURALES

Año: 2019 vol. 113 p. 3727 - 3740

1578-7303

In this paper, we extend the notion of weak group inverse to rectangular matrices (called W-weighted WG inverse) by using the weighted core EP inverse recently investigated. This new generalized inverse also generalizes the well-known weighted group inverse given by Cline and Greville. In addition, we give several representations of the W-weighted WG inverse, and derive some characterizations and properties.