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Maximal classes of matrices determining generalized inverses

Author

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  • Ferreyra, D.E.
  • Levis, F.E.
  • Thome, N.

Abstract

This paper derives some further results on recent generalized inverses studied in the literature, namely core EP, DMP, and CMP inverses. Our main aim is to develop maximal classes of matrices for which their representations remain valid.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:333:y:2018:i:c:p:42-52
    DOI: 10.1016/j.amc.2018.03.102
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    References listed on IDEAS

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    1. Kurata, Hiroshi, 2018. "Some theorems on the core inverse of matrices and the core partial ordering," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 43-51.
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    Cited by:

    1. Jin Zhong & Lin Lin, 2023. "Core-EP Monotonicity Characterizations for Property- n Matrices," Mathematics, MDPI, vol. 11(11), pages 1-11, May.
    2. Stanimirović, Predrag S. & Mosić, Dijana & Wei, Yimin, 2022. "Generalizations of composite inverses with certain image and/or kernel," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    3. Mosić, Dijana & Zhang, Daochang & Stanimirović, Predrag S., 2024. "An extension of the MPD and MP weak group inverses," Applied Mathematics and Computation, Elsevier, vol. 465(C).
    4. Mosić, Dijana & Stanimirović, Predrag S. & Katsikis, Vasilios N., 2021. "Weighted composite outer inverses," Applied Mathematics and Computation, Elsevier, vol. 411(C).

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    1. Ma, Haifeng, 2018. "Optimal perturbation bounds for the core inverse," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 176-181.

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