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Convergence properties of the dependent PRP conjugate gradient methods
  • 时间：0
  • 分类：TP301[自动化与计算机技术—计算机系统结构;自动化与计算机技术—计算机科学与技术]
  • 作者机构：[1]Department of Mathematics, Shanghai University, Shanghai 200436, China, [2]College of Operations and Management, Qufu Normal University, Qufu 273165, China, [3]Department of Mathematics, Rizhao Radio and Television University, Rizhao 276826 China
  • 相关基金：This work is supported by National Science Foundation of China （10571106） and the Foundation of Qufu Normal University.
  • 相关项目：广义半无限规划的理论与算法研究
关键词： 共轭梯度, 收敛, 线搜索, PRP, Conjugate gradient, convergence property, line search.
中文摘要：

在这篇论文，关于β _k~(PRP ) 的β _ k 的一个新区域被给。Withtwo Armijo 类型线搜索，作者调查依赖 PRP 的全球集中性质结合坡度方法，它扩大坡度方法由 Grippo 和 Lucidi 和奶妈和元(1997 )(2002 ) 证明了的 PRPconjugate 的全球集中结果。

英文摘要：

In this paper, a new region of βk with respect to ;βk^PRP is given. With two Armijo-type line searches, the authors investigate the global convergence properties of the dependent PRP conjugate gradient methods, which extend the global convergence results of PRP conjugate gradient method proved by Grippo and Lucidi （1997） and Dai and Yuan （2002）.

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广义半无限规划的理论与算法研究
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