A Modified Fletcher-Reeves Conjugate Gradient Method for Unconstrained Optimization

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building INTELEK Repository
collection Online Access
collectionurl https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072
date 2016-10-26 10:05:50
eventvenue Sydney, Australia
format Restricted Document
id 5911
institution UniSZA
originalfilename 0621-01-FH03-FIK-18-12081.pdf
person ITR
recordtype oai_dc
resourceurl https://intelek.unisza.edu.my/intelek/pages/view.php?ref=5911
spelling 5911 https://intelek.unisza.edu.my/intelek/pages/view.php?ref=5911 https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 Restricted Document Conference Conference Paper application/pdf 4 1.6 Adobe Acrobat Pro DC 20 Paper Capture Plug-in ITR 2016-10-26 10:05:50 0621-01-FH03-FIK-18-12081.pdf UniSZA Private Access A Modified Fletcher-Reeves Conjugate Gradient Method for Unconstrained Optimization 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. 41st International Conference of Science, Technology, Engineering and Management (ICSTEM) Sydney, Australia
spellingShingle A Modified Fletcher-Reeves Conjugate Gradient Method for Unconstrained Optimization
summary 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.
title A Modified Fletcher-Reeves Conjugate Gradient Method for Unconstrained Optimization
title_full A Modified Fletcher-Reeves Conjugate Gradient Method for Unconstrained Optimization
title_fullStr A Modified Fletcher-Reeves Conjugate Gradient Method for Unconstrained Optimization
title_full_unstemmed A Modified Fletcher-Reeves Conjugate Gradient Method for Unconstrained Optimization
title_short A Modified Fletcher-Reeves Conjugate Gradient Method for Unconstrained Optimization
title_sort modified fletcher-reeves conjugate gradient method for unconstrained optimization