IDEAS home Printed from https://ideas.repec.org/a/arp/ajoams/2019p62-68.html
   My bibliography  Save this article

The Real Representation of Canonical Hyperbolic Quaternion Matrices and Its Applications

Author

Listed:
  • Minghui Wang*

    (Department of Mathematics, Qingdao University of Science and Technology, P.R. China)

  • Lingling Yue

    (Department of Mathematics, Qingdao University of Science and Technology, P.R. China)

  • Situo Xu

    (Department of Mathematics, Qingdao University of Science and Technology, P.R. China)

  • Rufeng Chen

    (Department of Mathematics, Qingdao University of Science and Technology, P.R. China)

Abstract

In this paper, we construct the real representation matrix of canonical hyperbolic quaternion matrices and give some properties in detail. Then, by means of the real representation, we study linear equations, the inverse and the generalized inverse of the canonical hyperbolic quaternion matrix and get some interesting results.

Suggested Citation

  • Minghui Wang* & Lingling Yue & Situo Xu & Rufeng Chen, 2019. "The Real Representation of Canonical Hyperbolic Quaternion Matrices and Its Applications," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 5(6), pages 62-68, 06-2019.
    • Handle: RePEc:arp:ajoams:2019:p:62-68
    DOI: 10.32861/ajams.56.62.68
    as

    Download full text from publisher

    File URL: https://www.arpgweb.com/pdf-files/ajams5(6)62-68.pdf
    Download Restriction: no
    File URL: https://www.arpgweb.com/journal/17/archive/06-2019/6/5
    Download Restriction: no
    File URL: https://libkey.io/10.32861/ajams.56.62.68?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
    ---><---

    References listed on IDEAS

    as
    1. Zhang, Zhaozhong & Jiang, Ziwu & Jiang, Tongsong, 2015. "Algebraic methods for least squares problem in split quaternionic mechanics," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 618-625.
    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.

      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:arp:ajoams:2019:p:62-68. 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: Managing Editor (email available below). General contact details of provider: http://arpgweb.com/index.php?ic=journal&journal=17&info=aims .

      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.