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Further studies on the Wei–Yao–Liu nonlinear conjugate gradient method

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成果类型:
期刊论文
作者:
Zhang, Li*;Jian, Shuyuan
通讯作者:
Zhang, Li
作者机构:
[Zhang, Li; Jian, Shuyuan] Changsha Univ Sci & Technol, Dept Math, Changsha 410004, Hunan, Peoples R China.
通讯机构:
[Zhang, Li] C
Changsha Univ Sci & Technol, Dept Math, Changsha 410004, Hunan, Peoples R China.
语种:
英文
关键词:
Armijo type line search;Global convergence;The strong Wolfe line search;The WYL method
期刊:
Applied Mathematics and Computation
ISSN:
0096-3003
年:
2013
卷:
219
期:
14
页码:
7616-7621
基金类别:
This work was supported by the NSF foundation ( 10901026 ) of China and the Key Project of the Scientific Research Fund of the Hunan Provincial Education Department .
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
The Wei-Yao-Liu (WYL) method proposed by Wei et al. [Z. Wei, S. Yao, L. Liu, The convergence properties of some new conjugate gradient methods, Appl. Math. Comput. 183 (2006) 1341-1350] has been proved to converge globally for uniformly convex functions with exact line search and nonconvex functions with the strong Wolfe line search if the parameter σ∈(0,1/4). In this paper, we further study the global convergence properties of the WYL method. We show that this method still converges globally for nonconvex optimization when the strong Wolfe l...

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