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- Title
A Conjugate Gradient Method for Unconstrained Optimization Problems.
- Authors
Gonglin Yuan
- Abstract
A hybrid method combining the FR conjugate gradient method and the WYL conjugate gradient method is proposed for unconstrained optimization problems. The presented method possesses the sufficient descent property under the strong Wolfe-Powell (SWP) line search rule relaxing the parameter σ < 1. Under the suitable conditions, the global convergence with the SWP line search rule and the weak Wolfe-Powell (WWP) line search rule is established for nonconvex function. Numerical results show that this method is better than the FR method and the WYL method.
- Subjects
CONJUGATE gradient methods; SYSTEMS theory; HYBRID systems; MATHEMATICAL optimization; CONVEX functions; NUMERICAL analysis; NUMERICAL calculations; APPROXIMATION theory; ITERATIVE methods (Mathematics); EUCLIDEAN algorithm
- Publication
International Journal of Mathematics & Mathematical Sciences, 2009, p1
- ISSN
0161-1712
- Publication type
Article
- DOI
10.1155/2009/329623