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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&par;gk&par;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