Core-EP Monotonicity Characterizations for Property-<i>n</i> Matrices

Abstract

A square matrix is said to have property n if there exists a positive integer w such that Aw is nonnegative. In this paper, we study the core-EP monotonicity for property-n matrices. Some necessary and sufficient conditions for a property-n matrix to be core-EP monotone are given. Moreover, a necessary and sufficient condition for a real square matrix to have a nonnegative core-EP inverse is also presented.

Keywords

• property-<i>n</i> matrix
• core-EP inverse
• core-EP monotonicity
• core monotonicity