IDEAS home Printed from https://ideas.repec.org/a/taf/tcybxx/v9y2023i4p376-389.html
   My bibliography  Save this article

Fixed-point iterative approach for solving linear Diophantine systems with bounds on the variables

Author

Listed:
  • Haocheng Yu
  • Luyao Yang
  • Jinyu Dai
  • Baoping Jiang
  • Zhengtian Wu
  • Shuxian Zhu

Abstract

Systems of linear Diophantine equations arise from several applications. Scholars have given attention to such systems and come up with several effective solutions. A new approach, called the fixed-point iterative method, was proposed to solve linear Diophantine equations with lower and upper bounds on the variables. Two steps are involved in solving this problem. First, the problem is transformed into a polytope judgment problem . Then, the approach is used to judge the existence of an integer point in the polytope. Compared with the branch-and-bound method, results show that the approach is feasible and effective for solving linear Diophantine systems.

Suggested Citation

  • Haocheng Yu & Luyao Yang & Jinyu Dai & Baoping Jiang & Zhengtian Wu & Shuxian Zhu, 2023. "Fixed-point iterative approach for solving linear Diophantine systems with bounds on the variables," Cyber-Physical Systems, Taylor & Francis Journals, vol. 9(4), pages 376-389, October.
    • Handle: RePEc:taf:tcybxx:v:9:y:2023:i:4:p:376-389
    DOI: 10.1080/23335777.2021.2022765
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/23335777.2021.2022765
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/23335777.2021.2022765?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.

    More about this item

    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:taf:tcybxx:v:9:y:2023:i:4:p:376-389. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/tcyb .

    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.