IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v317y2018icp12-24.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300317305982
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2017.08.047?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

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

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Deng, Chunyuan & Yu, Anqi, 2015. "Relationships between DMP relation and some partial orders," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 41-53.
    3. 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.
    4. Mosić, Dijana & Djordjević, Dragan S., 2015. "Weighted pre-orders involving the generalized Drazin inverse," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 496-504.
    5. Mosić, Dijana, 2016. "Reverse order laws for the generalized strong Drazin inverses," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 37-46.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:317:y:2018:i:c:p:12-24. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.