Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641755 | Journal of Computational and Applied Mathematics | 2009 | 9 Pages |
Abstract
In this paper, we propose a family of derivative-free conjugate gradient methods for large-scale nonlinear systems of equations. They come from two modified conjugate gradient methods [W.Y. Cheng, A two term PRP based descent Method, Numer. Funct. Anal. Optim. 28 (2007) 1217–1230; L. Zhang, W.J. Zhou, D.H. Li, A descent modified Polak–Ribiére–Polyak conjugate gradient method and its global convergence, IMA J. Numer. Anal. 26 (2006) 629–640] recently proposed for unconstrained optimization problems. Under appropriate conditions, the global convergence of the proposed method is established. Preliminary numerical results show that the proposed method is promising.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Wanyou Cheng, Yunhai Xiao, Qing-Jie Hu,