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

摘要

The weighted Moore–Penrose inverse of a matrix can be used to define a partial order on the set of m×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.