DOIONLINE

DOIONLINE NO - IJASEAT-IRAJ-DOIONLINE-6673

Publish In
International Journal of Advances in Science, Engineering and Technology(IJASEAT)-IJASEAT
Journal Home
Volume Issue
Issue
Volume-5,Issue-1, Spl. Iss-1  ( Jan, 2017 )
Paper Title
A Modified Fletcher-Reeves Conjugate Gradient Method For Unconstrained Optimization
Author Name
Abdelrahman Abashar, Mustafa Mamat, Ahmad Alhawarat, Fatma Susilawati, Zabidin Salleh, Zahrahtul Amani Zakaria
Affilition
Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu, Malaysia School of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, Terengganu, Malaysia
Pages
1-4
Abstract
Conjugate gradient (CG) method is one of many tools used to solve large optimization unconstrained problems. From 1952 until now many methods appeared to improve CPU time and number of iteration which is needed to reach the optimum solution. In this paper we depict a new positive CG method derived from Fletcher–Reeves (FR) method, the new coefficient achieves the global convergence properties under exact line search. In addition, it possesses the sufficient descent condition. The numerical computations where the step size achieves by exact line search show the efficiency of the new method is better than FR method; furthermore it solves all test functions. Keywords— Conjugate Gradient, Global Convergence, Exact Line Search, Optimum Solution.
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