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Research Article · Open access · Published 14 May 2020

A Robust Modification of Hestenes–Stiefel Conjugate Gradient Method with Strong Wolfe Line Search

Awad Abdelrahman1, Osman O.O. Yousif1 & Khalid I. Osman2

Journal of Mathematics and Statistics, Volume 16, Issue 1, pp. 54–61 · doi.org/10.3844/jmssp.2020.54.61

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Abstract

Nonlinear Conjugate Gradient (CG) methods are extensively used for solving large-scale unconstrained optimization problems. Numerous of studies constructed scales and modifications have been conducted recently to improve (CG) methods. In this paper, a simple modified by its conjugate gradient method was proposed. In addition to, established global convergence property and sufficient descent condition, under Strong Wolfe line search. Numerical result shows that the proposed formula is competitive when compared to other well-known (CG) parameters.

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Abdelrahman, A., Yousif, O. O. & Osman, K. I. (2020). A Robust Modification of Hestenes–Stiefel Conjugate Gradient Method with Strong Wolfe Line Search. Journal of Mathematics and Statistics, 16(1), 54–61. https://doi.org/10.3844/jmssp.2020.54.61

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A Robust Modification of Hestenes–Stiefel Conjugate Gradient Method with Strong Wolfe Line SearchJournal of Mathematics and Statistics · Volume 16, Issue 1 · pp. 54–61 · CC BY 3.0Download