New Hybrid Conjugate Gradient Method with Global Convergence Properties under Exact Line Search

  • Authors

    • Yasir Salih
    • Mustafa Mamat
    • Mohd Rivaie
    • Abdelrhaman Abashar
    • Mohamad Afendee Mohamed
    2018-08-17
    https://doi.org/10.14419/ijet.v7i3.28.20965
  • Nonlinear optimization, conjugate gradient coefficient, exact line search, global convergence, large scale.
  • Conjugate Gradient (CG) method is a very useful technique for solving large-scale nonlinear optimization problems. In this paper, we propose a new formula for 12خ²k"> , which is a hybrid of PRP and WYL methods. This method possesses sufficient descent and global convergence properties when used with exact line search. Numerical results indicate that the new formula has higher efficiency compared with other classical CG methods.

     

  • References

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  • How to Cite

    Salih, Y., Mamat, M., Rivaie, M., Abashar, A., & Afendee Mohamed, M. (2018). New Hybrid Conjugate Gradient Method with Global Convergence Properties under Exact Line Search. International Journal of Engineering & Technology, 7(3.28), 54-57. https://doi.org/10.14419/ijet.v7i3.28.20965