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A Modified Dai–Liao Conjugate Gradient Method with a New Parameter for Solving Image Restoration Problems

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  • Junyu Lu
  • Yong Li
  • Hongtruong Pham

Abstract

One adaptive choice for the parameter of the Dai–Liao conjugate gradient method is suggested in this paper, which is obtained with modified quasi–Newton equation. So we get a modified Dai–Liao conjugate gradient method. Some interesting features of the proposed method are introduced: (i) The value of parameter of the modified Dai–Liao conjugate gradient method takes both the gradient and function value information. (ii) We establish the global convergence property of the modified Dai–Liao conjugate gradient method under some suitable assumptions. (iii) Numerical results show that the modified DL method is effective in practical computation and the image restoration problems.

Suggested Citation

  • Junyu Lu & Yong Li & Hongtruong Pham, 2020. "A Modified Dai–Liao Conjugate Gradient Method with a New Parameter for Solving Image Restoration Problems," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-13, September.
    • Handle: RePEc:hin:jnlmpe:6279543
    DOI: 10.1155/2020/6279543
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    Cited by:

    1. Elena Tovbis & Vladimir Krutikov & Predrag Stanimirović & Vladimir Meshechkin & Aleksey Popov & Lev Kazakovtsev, 2023. "A Family of Multi-Step Subgradient Minimization Methods," Mathematics, MDPI, vol. 11(10), pages 1-24, May.

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