A Robust Modification of Hestenes–Stiefel Conjugate Gradient Method with Strong Wolfe Line Search
- 1 University of Gezira, Sudan
- 2 King Khalid University, Saudi Arabia
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.
DOI: https://doi.org/10.3844/jmssp.2020.54.61
Copyright: © 2020 Awad Abdelrahman, Osman O.O. Yousif and Khalid I. Osman. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Keywords
- Unconstrained Optimization
- Conjugate Gradient Method
- Sufficient Descent Property
- Global Convergence