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On some new pre-orders defined by weighted Drazin inverses

Author

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  • Hernández, A.
  • Lattanzi, M.
  • Thome, N.

Abstract

In this paper, we investigate new binary relations defined on the set of rectangular complex matrices based on the weighted Drazin inverse and give some characterizations of them. These relations become pre-orders and improve the results found by the authors in Hernández et al. (2013) as well as extend those known for square matrices. On the other hand, some new weighted partial orders are also defined and characterized. The advantages of these new relations compared to the ones considered in the mentioned paper are also pointed out.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:282:y:2016:i:c:p:108-116
    DOI: 10.1016/j.amc.2016.01.055
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    References listed on IDEAS

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    1. 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. 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. Wang, Xue-Zhong & Ma, Haifeng & Stanimirović, Predrag S., 2017. "Recurrent neural network for computing the W-weighted Drazin inverse," Applied Mathematics and Computation, Elsevier, vol. 300(C), pages 1-20.

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