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Some generalized three-term conjugate gradient methods based on CD approach for unconstrained optimization problems

Author

Listed:
  • Ladan Arman

    (School of Aeronautic Science and Engineering, Beihang University, Beijing, China)

  • Yuanming Xu

    (School of Aeronautic Science and Engineering, Beihang University, Beijing, China)

  • Long Liping

    (Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China)

Abstract

In this paper, based on the efficient Conjugate Descent (CD) method, two generalized CD algorithms are proposed to solve the unconstrained optimization problems. These methods are three-term conjugate gradient methods which the generated directions by using the conjugate gradient parameters and independent of the line search satisfy in the sufficient descent condition. Furthermore, under the strong Wolfe line search, the global convergence of the proposed methods are proved. Also, the preliminary numerical results on the CUTEst collection are presented to show effectiveness of our methods.

Suggested Citation

  • Ladan Arman & Yuanming Xu & Long Liping, 2021. "Some generalized three-term conjugate gradient methods based on CD approach for unconstrained optimization problems," Technium, Technium Science, vol. 3(2), pages 67-82, March.
    • Handle: RePEc:tec:techni:ojs:1983
    DOI: 10.47577/technium.v3i2.1983
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