On a partial order defined by the weighted Moore–Penrose inverse

Araceli Hernández, Marina Latanzi, Thome Coppo Néstor Javier

2013

Applied Mathematics and Computation

The weighted Moore–Penrose inverse of a matrix can be used to define a partial order on the set of m x n complex matrices and to introduce the concept of weighted-EP matrices. In this paper we study the weighted star partial order on the set of weighted-EP matrices. In addition, some properties that relate the eigenprojection at zero with the weighted star partial order are obtained.