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一类修正的FR算法及其全局收敛性
引用本文:孙敏.一类修正的FR算法及其全局收敛性[J].枣庄师专学报,2008,25(5):68-70.
作者姓名:孙敏
作者单位:枣庄学院数学与信息科学系,山东枣庄277160
摘    要:基于喻(2006)提出的修正PRP算法,给出一类修正的FR算法.该算法的优点是:(1)在无需线性搜索的条件下,迭代方向就是充分下降方向;(2)在比喻(2006)的算法更弱的条件下,分析了算法的全局收敛性.

关 键 词:共轭梯度法  FR法  充分下降  全局收敛性

A Modified FR Method and its Global Convergence
SUN Min.A Modified FR Method and its Global Convergence[J].Journal of Zaozhuang Teachers' College,2008,25(5):68-70.
Authors:SUN Min
Institution:SUN Min (Department of Mathematics and Information Science ,Zaozhuang University, Shandong 277160, China)
Abstract:Based on the modified PRP method proposed by Yu(2006), a modified FR method is proposed in this paper. The method has the following attractive properties : ( 1 ) the iterative direction is always a sufficienfly descent direction without utilizing the line search; (2) Under more mild conditions than Yu(2006), the method has global convergence.
Keywords:conjugate gradient method  FR method  sufficiently descent  global convergence
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