IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i11p1707-d1405661.html
   My bibliography  Save this article

Solution to Several Split Quaternion Matrix Equations

Author

Listed:
  • Xin Liu

    (Macau Institute of Systems Engineering, Faculty of Innovation Engineering, Macau University of Science and Technology, Avenida Wai Long, TaiPa, Macau 999078, China)

  • Tong Shi

    (Suzhou Institute for Advanced Research, University of Science and Technology of China, Suzhou 215123, China)

  • Yang Zhang

    (Department of Mathematics, University of Manitoba, Winnipeg, MB R3T 2N2, Canada)

Abstract

Split quaternions have various applications in mathematics, computer graphics, robotics, physics, and so on. In this paper, two useful, real representations of a split quaternion matrix are proposed. Based on this, we derive their fundamental properties. Then, via the real representation method, we obtain the necessary and sufficient conditions for the existence of solutions to two split quaternion matrix equations. In addition, two experimental examples are provided to show their feasibility.

Suggested Citation

  • Xin Liu & Tong Shi & Yang Zhang, 2024. "Solution to Several Split Quaternion Matrix Equations," Mathematics, MDPI, vol. 12(11), pages 1-12, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:11:p:1707-:d:1405661
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/11/1707/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/11/1707/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:12:y:2024:i:11:p:1707-:d:1405661. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.