Mathematics (May 2023)

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

  • Jin Zhong,
  • Lin Lin

DOI
https://doi.org/10.3390/math11112531
Journal volume & issue
Vol. 11, no. 11
p. 2531

Abstract

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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