IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v271y2015icp805-819.html
   My bibliography  Save this article

A system of matrix equations with five variables

Author

Listed:
  • Rehman, Abdur
  • Wang, Qing-Wen

Abstract

In this paper, we give some necessary and sufficient conditions for the consistence of the system of quaternion matrix equations A1X=C1,YB1=D1,A2W=C2,ZB2=D2,A3V=C3,VB3=C4,A4VB4=C5,A5X+YB5+C6W+ZD6+E6VF6=G6,and constitute an expression of the general solution to the system when it is solvable. The outcomes of this paper encompass some recognized results in the collected works. In addition, we establish an algorithm and a numerical example to illustrate the theory constructed in the paper.

Suggested Citation

  • Rehman, Abdur & Wang, Qing-Wen, 2015. "A system of matrix equations with five variables," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 805-819.
    • Handle: RePEc:eee:apmaco:v:271:y:2015:i:c:p:805-819
    DOI: 10.1016/j.amc.2015.09.066
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315013041
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.09.066?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. Rehman, Abdur & Wang, Qing-Wen & He, Zhuo-Heng, 2015. "Solution to a system of real quaternion matrix equations encompassing η-Hermicity," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 945-957.
    Full references (including those not matched with items on IDEAS)

    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. Liu, Xin, 2018. "The η-anti-Hermitian solution to some classic matrix equations," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 264-270.
    2. Kyrchei, Ivan, 2017. "Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore–Penrose inverse," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 1-16.

    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:271:y:2015:i:c:p:805-819. 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.