IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/8939770.html
   My bibliography  Save this article

A New Spectral Three-Term Conjugate Gradient Method with Random Parameter Based on Modified Secant Equation and Its Application to Low-Carbon Supply Chain Optimization

Author

Listed:
  • Guoling Zhou
  • Yueting Yang
  • Mingyuan Cao
  • Shaojian Qu

Abstract

In this work, considering the advantages of spectral conjugate gradient method and quasi-Newton method, a spectral three-term conjugate gradient method with random parameter is proposed. The parameter in the search direction of the new method is determined by minimizing the Frobenius norm of difference between search direction matrix and self-scaled memoryless BFGS matrix based on modified secant equation. Then, the search direction satisfying the sufficient descent condition is obtained. The global convergence of new method is proved under appropriate assumptions. Numerical experiments show that our method has better performance by comparing with the up-to-date method. Furthermore, the new method has been successfully applied to the optimization of low-carbon supply chain.

Suggested Citation

  • Guoling Zhou & Yueting Yang & Mingyuan Cao & Shaojian Qu, 2022. "A New Spectral Three-Term Conjugate Gradient Method with Random Parameter Based on Modified Secant Equation and Its Application to Low-Carbon Supply Chain Optimization," Journal of Mathematics, Hindawi, vol. 2022, pages 1-15, October.
    • Handle: RePEc:hin:jjmath:8939770
    DOI: 10.1155/2022/8939770
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2022/8939770.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2022/8939770.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/8939770?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
    ---><---

    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:hin:jjmath:8939770. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.