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Core-EP Monotonicity Characterizations for Property- n Matrices

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jin Zhong & Lin Lin, 2023. "Core-EP Monotonicity Characterizations for Property- n Matrices," Mathematics, MDPI, vol. 11(11), pages 1-11, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2531-:d:1160877
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    References listed on IDEAS

    as
    1. Ferreyra, D.E. & Levis, F.E. & Thome, N., 2018. "Maximal classes of matrices determining generalized inverses," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 42-52.
    2. Zhou, Mengmeng & Chen, Jianlong, 2018. "Integral representations of two generalized core inverses," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 187-193.
    3. Ma, Haifeng & Stanimirović, Predrag S. & Mosić, Dijana & Kyrchei, Ivan I., 2021. "Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse," Applied Mathematics and Computation, Elsevier, vol. 404(C).
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