Analysis on an improved global convergence for a spectral conjugate gradient method(EI)
发布时间：2016-04-22
点击次数：
所属单位：中南大学
发表刊物：International Journal of Applied Mathematics and Statistics
关键字：Bench-mark problems - Conjugate gradient - Conjugate gradient algorithms - Convergence results
摘要：In this paper, we establish the theory of global convergence for a spectral conjugate gradient algorithm recently developed by Z. Wan etc. An assumption, that the inequalities 0 < gTk gk-1 &le 2∥gk∥2 are satisfied for any k, is first investigated by numerical experiments. It is shown that such assumption holds only for k large enough in solving some benchmark problems, not for all ones. Another contribution of this paper is to obtain the same convergence result under some weaker assumptions.
第一作者：Songhai Deng
论文类型：应用研究
通讯作者：Zhong Wan
文献类型：J
卷号：31
期号：1
页面范围：20-26
ISSN号：09731377
是否译文：否
发表时间：2013-04-01
附件：