IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v508y2026ics0096300325003856.html
   My bibliography  Save this article

Weak m-WG inverse

Author

Listed:
  • Mosić, Dijana
  • Aouichaoui, Mohamed Amine
  • Stanimirović, Predrag S.

Abstract

The basic idea used in this research is to extend the system of matrix equations that determine the m-weak group inverse (m-WGI) utilizing a minimal rank weak Drazin inverse (MR-WDI) as a generalization of the core-EP inverse. An arbitrary solution of such extended system of equations is termed as weak-m-WGI. Based on the generality arising from the concept of the MR-WDI, the extended system is not uniquely solvable and defines the class of weak-m-WGIs. The class of weak-m-WGIs represents a broad class of generalized inverses, of which the m-WGI and Drazin inverse are particular cases. Characterizations and representations for the weak-m-WGI are proposed as well as its applications in solving certain linear equations. Some original results related to both the Drazin inverse and the m-WGI are obtained as featured particular cases.

Suggested Citation

  • Mosić, Dijana & Aouichaoui, Mohamed Amine & Stanimirović, Predrag S., 2026. "Weak m-WG inverse," Applied Mathematics and Computation, Elsevier, vol. 508(C).
    • Handle: RePEc:eee:apmaco:v:508:y:2026:i:c:s0096300325003856
    DOI: 10.1016/j.amc.2025.129659
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300325003856
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2025.129659?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:508:y:2026:i:c:s0096300325003856. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.