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Optimal perturbation bounds for the core inverse

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  • Ma, Haifeng

Abstract

In this short note, we study some perturbation properties of the core inverse. We present the closed form and perturbation bounds for the core inverse under some conditions, which extend the classical result on the perturbation of the nonsingular matrix. Our expressions for the perturbation of the core inverse are simple and perturbation bounds are sharp.

Suggested Citation

  • Ma, Haifeng, 2018. "Optimal perturbation bounds for the core inverse," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 176-181.
    • Handle: RePEc:eee:apmaco:v:336:y:2018:i:c:p:176-181
    DOI: 10.1016/j.amc.2018.04.059
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    References listed on IDEAS

    as
    1. Coll, C. & Lattanzi, M. & Thome, N., 2018. "Weighted G-Drazin inverses and a new pre-order on rectangular matrices," Applied Mathematics and Computation, Elsevier, vol. 317(C), pages 12-24.
    2. 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. Ma, Haifeng & Stanimirović, Predrag S., 2019. "Characterizations, approximation and perturbations of the core-EP inverse," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 404-417.
    2. Ma, Haifeng & Mosić, Dijana & Stanimirović, Predrag S., 2023. "Perturbation Bounds for the Group Inverse and its Oblique Projection," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    3. Ma, Haifeng & Gao, Xiaoshuang & Stanimirović, Predrag S., 2020. "Characterizations, iterative method, sign pattern and perturbation analysis for the DMP inverse with its applications," Applied Mathematics and Computation, Elsevier, vol. 378(C).

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