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Mohammed A. Saleh
Qassim University

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Global convergence of a modified RMIL+ nonlinear conjugate gradient method with strong wolfe Abdelrhaman Abashar; Osman Omer Osman Yousif; Awad Abdelrahman Abdalla Mohammed; Mohammed A. Saleh
Indonesian Journal of Electrical Engineering and Computer Science Vol 28, No 2: November 2022
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijeecs.v28.i2.pp1184-1191

Abstract

Nonlinear conjugate gradient (CG) methods are extensively used as an important technique for addressing large-scale unconstrained optimization problems which are arise in many aspects of science, engineering, and economics. That is due to their simplicity, convergence properties, and low memory requirements. To generate a new approximation solution in each iteration, the CG methods usually implement under the strong Wolfe line search. For good performance, many studies have been carried out to modify well-known CG methods. In this paper, we did some modifications on one of CG method called RMIL+ in order to obtain a new CG method possesses the sufficient descent property and the global convergence under strong Wolfe line search. The numerical results demonstrate that the suggested method outperforms other CG methods.
Co-Authors Abdelrhaman Abashar Awad Abdelrahman Abdalla Mohammed Osman Omer Osman Yousif