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A Hybrid of DL and WYL Nonlinear Conjugate Gradient Methods

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  • Shengwei Yao
  • Bin Qin

Abstract

The conjugate gradient method is an efficient method for solving large-scale nonlinear optimization problems. In this paper, we propose a nonlinear conjugate gradient method which can be considered as a hybrid of DL and WYL conjugate gradient methods. The given method possesses the sufficient descent condition under the Wolfe-Powell line search and is globally convergent for general functions. Our numerical results show that the proposed method is very robust and efficient for the test problems.

Suggested Citation

  • Shengwei Yao & Bin Qin, 2014. "A Hybrid of DL and WYL Nonlinear Conjugate Gradient Methods," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, March.
    • Handle: RePEc:hin:jnlaaa:279891
    DOI: 10.1155/2014/279891
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