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Integral representations of two generalized core inverses

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  • Zhou, Mengmeng
  • Chen, Jianlong

Abstract

In this paper, we present integral representations for the DMP and core-EP inverse, which based on the full-rank decomposition of a given matrix. In particular, integral representations of the core and dual core inverse are given. All of these integral representations do not require any restriction on the spectrum of a certain matrix.

Suggested Citation

  • Zhou, Mengmeng & Chen, Jianlong, 2018. "Integral representations of two generalized core inverses," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 187-193.
    • Handle: RePEc:eee:apmaco:v:333:y:2018:i:c:p:187-193
    DOI: 10.1016/j.amc.2018.03.085
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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. & Mourtas, Spyridon D. & Mosić, Dijana & Katsikis, Vasilios N. & Cao, Xinwei & Li, Shuai, 2024. "Zeroing neural network approaches for computing time-varying minimal rank outer inverse," Applied Mathematics and Computation, Elsevier, vol. 465(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).

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