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All Journal Indonesian Journal of Electrical Engineering and Computer Science
Osman Omer Osman Yousif
Faculty of Mathematical and Computer Sciences, University of Gezira

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A modified type of Fletcher-Reeves conjugate gradient method with its global convergence Amna Weis Mohammed Ahmad Idress; Osman Omer Osman Yousif; Abdulgader Zaid Almaymuni; Awad Abdelrahman Abdalla Mohammed; Mohammed A. Saleh; Nafisa A. Ali
Indonesian Journal of Electrical Engineering and Computer Science Vol 33, No 1: January 2024
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijeecs.v33.i1.pp425-432

Abstract

The conjugate gradient methods are one of the most important techniques used to address problems involving minimization or maximization, especially nonlinear optimization problems with no constraints at all. That is because of their simplicity and low memory needed. They can be applied in many areas, such as economics, engineering, neural networks, image restoration, machine learning, and deep learning. The convergence of Fletcher-Reeves (FR) conjugate gradient method has been established under both exact and strong Wolfe line searches. However, it is performance in practice is poor. In this paper, to get good numerical performance from the FR method, a little modification is done. The global convergence of the modified version has been established for general nonlinear functions. Preliminary numerical results show that the modified method is very efficient in terms of number of iterations and CPU time.
Co-Authors Abdulgader Zaid Almaymuni Amna Weis Mohammed Ahmad Idress Awad Abdelrahman Abdalla Mohammed Mohammed A. Saleh Nafisa A. Ali