| 在Armijo型线搜索下共轭梯度法簇的全局收敛性 |
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| 引用本文： | 连淑君,王长钰.在Armijo型线搜索下共轭梯度法簇的全局收敛性[J].应用数学,2007,20(1):120-127. |
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| 作者姓名： | 连淑君 王长钰 |
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| 作者单位： | 1. 上海大学数学系,上海,200444;曲阜师范大学运筹与管理学院,山东,曲阜,273165
2. 曲阜师范大学运筹与管理学院,山东,曲阜,273165 |
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| 基金项目： | 国家自然科学基金;曲阜师范大学校科研和教改项目 |
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| 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．
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| 关 键 词： | 无约束规划 共轭梯度法 线搜索 全局收敛 |
| 文章编号： | 1001-9847(2007)01-0120-08 |
| 修稿时间： | 2006-05-31 |
A Class of Conjugate Gradient Methods with Armijo-type Line Searches |
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| LIAN Shu-jun,WANG Chang-yu.A Class of Conjugate Gradient Methods with Armijo-type Line Searches[J].Mathematica Applicata,2007,20(1):120-127. |
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| Authors: | LIAN Shu-jun WANG Chang-yu |
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| Institution: | 1. Department of Mathematics, Shanghai University, Shanghai 200444, China 2. College of Operations and Management, Qufu Normal University, Qufu 273165, China |
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| 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. |
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| Keywords: | Unconstrained optimization Conjugate gradient Line search Global convergence |
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