Globally convergence of nonlinear conjugate gradient method for unconstrained optimization
The conjugate gradient method is a useful and powerful approach for solving large-scale minimization problems. In this paper, a new nonlinear conjugate gradient method is proposed for large-scale unconstrained optimization. This method include the already existing two practical nonlinear conjugate g...
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Published in | R.A.I.R.O. Recherche opérationnelle Vol. 51; no. 4; pp. 1101 - 1117 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Paris
EDP Sciences
01.10.2017
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Subjects | |
Online Access | Get full text |
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Summary: | The conjugate gradient method is a useful and powerful approach for solving large-scale minimization problems. In this paper, a new nonlinear conjugate gradient method is proposed for large-scale unconstrained optimization. This method include the already existing two practical nonlinear conjugate gradient methods, to combine the nice global convergence properties of Fletcher-Reeves method (abbreviated FR) and the good numerical performances of the Polak–Ribiére–Polyak method (abbreviated PRP), which produces a descent search direction at every iteration and converges globally provided that the line search satisfies the Wolfe conditions. Our numerical results show that of the new method is very efficient for the given test problems. In addition we will study the methods related to the new nonlinear conjugate gradient method. |
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Bibliography: | ark:/67375/80W-8N7T1Q4H-V bsellami@univ-soukahras.dz; mbelloufi@yahoo.com; chaibyacine@yahoo.com publisher-ID:ro170027 istex:2D6772DD1DEA0C6A65BEB430BB53C640CBDF9982 |
ISSN: | 0399-0559 1290-3868 |
DOI: | 10.1051/ro/2017028 |