Core-EP Monotonicity Characterizations for Property- n Matrices

Jin Zhong () and Lin Lin
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Jin Zhong: Faculty of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China
Lin Lin: Faculty of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China

Mathematics, 2023, vol. 11, issue 11, 1-11

Abstract: A square matrix is said to have property n if there exists a positive integer w such that A w 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- n matrix; core-EP inverse; core-EP monotonicity; core monotonicity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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