A Global Convergence of LS-CD Hybrid Conjugate Gradient Method. (22nd October 2013)

• Record Type: Journal Article
• Authors: Yang, Xiangfei; Luo, Zhijun; Dai, Xiaoyu
• Other Names: Layton William J. Academic Editor.
• Is Part Of: Advances in numerical analysis. Volume 2013(2013)
• Publication Date: 2013-10-22
• Subjects: Numerical analysis -- Periodicals; Numerical analysis; Periodicals; Electronic journals; 518
• DOI: 10.1155/2013/517452
• Languages: English
• ISSNs: 1687-9562

Abstract

Abstract : Conjugate gradient method is one of the most effective algorithms for solving unconstrained optimization problem. In this paper, a modified conjugate gradient method is presented and analyzed which is a hybridization of known LS and CD conjugate gradient algorithms. Under some mild conditions, the Wolfe-type line search can guarantee the global convergence of the LS-CD method. The numerical results show that the algorithm is efficient.