学术
在Armijo型线搜索下共轭梯度法簇的全局收敛性
连淑君[1,2] 王长钰[2]
[1]上海大学数学系,上海200444 [2]曲阜师范大学运筹与管理学院,山东曲阜273165
摘 要:
本文我们讨论了一簇共轭梯度法，它可被看作是FR法和DY法的凸组合．我们提出了两种Armijo型线搜索，并在这两种线搜索下，讨论了共轭梯度法簇的全局收敛性．[著者文摘]
文章出处:
《应用数学》-2007年20卷1期 -120-127页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2007）01-0120-08
A Class of Conjugate with Armijo-type Gradient Methods Line Searches
LIAN Shu-jun WANG Chang-yu （1. Department of Mathematics, Shanghai University, Shanghai 200444, China 2. College of Operations and Management, Qufu Normal University, Qufu 273165, China）
Abstract:
We investigate a class of conjugate gradient methods,which can be regarded as some kind of convex combination of the Fletcher-Reeves method and the method proposed by Dai et al. Two Armijo-type line searches are proposed in this paper for nonlinear conjugate gradient methods. The two Armijo-type line searches are shown to guarantee the global convergence of the class of conjugate gradient methods.[著者文摘]
Key words:
Unconstrained optimization; Conjugate gradient Line search Global convergence
基金资助:
Supported by the National Natural Science Foundation of China （10571106, 10571116） ,and the Foundation of Qufu Normal University
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