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Weighted G-Drazin inverses and a new pre-order on rectangular matrices

Author

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  • Coll, C.
  • Lattanzi, M.
  • Thome, N.

Abstract

This paper deals with weighted G-Drazin inverses, which is a new class of matrices introduced to extend (to the rectangular case) G-Drazin inverses recently considered by Wang and Liu for square matrices. First, we define and characterize weighted G-Drazin inverses. Next, we consider a new pre-order defined on complex rectangular matrices based on weighted G-Drazin inverses. Finally, we characterize this pre-order and relate it to the minus partial order and to the weighted Drazin pre-order.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:317:y:2018:i:c:p:12-24
    DOI: 10.1016/j.amc.2017.08.047
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    References listed on IDEAS

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    1. Hernández, A. & Lattanzi, M. & Thome, N., 2016. "On some new pre-orders defined by weighted Drazin inverses," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 108-116.
    2. Hernández, A. & Lattanzi, M. & Thome, N., 2015. "Weighted binary relations involving the Drazin inverse," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 215-223.
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    Cited by:

    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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