IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/1523267.html
   My bibliography  Save this article

Hybrid Modification of Accelerated Double Direction Method

Author

Listed:
  • Milena J. Petrović
  • Predrag S. Stanimirović
  • Nataša Kontrec
  • Julija Mladenović

Abstract

We present a hybridization of the accelerated gradient method with two vector directions. This hybridization is based on the usage of a chosen three-term hybrid model. Derived hybrid accelerated double direction model keeps preferable properties of both included methods. Convergence analysis demonstrates at least linear convergence of the proposed iterative scheme on the set of uniformly convex and strictly convex quadratic functions. The results of numerical experiments confirm better performance profile in favor of derived hybrid accelerated double direction model when compared to its forerunners.

Suggested Citation

  • Milena J. Petrović & Predrag S. Stanimirović & Nataša Kontrec & Julija Mladenović, 2018. "Hybrid Modification of Accelerated Double Direction Method," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-8, November.
    • Handle: RePEc:hin:jnlmpe:1523267
    DOI: 10.1155/2018/1523267
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2018/1523267.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2018/1523267.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2018/1523267?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Vladimir Rakočević & Milena J. Petrović, 2022. "Comparative Analysis of Accelerated Models for Solving Unconstrained Optimization Problems with Application of Khan’s Hybrid Rule," Mathematics, MDPI, vol. 10(23), pages 1-13, November.
    2. Halilu, Abubakar Sani & Majumder, Arunava & Waziri, Mohammed Yusuf & Ahmed, Kabiru, 2021. "Signal recovery with convex constrained nonlinear monotone equations through conjugate gradient hybrid approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 520-539.

    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:jnlmpe:1523267. 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.