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两类修正的HS共轭梯度法
引用本文:王开荣,郑丽,刘金魁.两类修正的HS共轭梯度法[J].重庆工学院学报,2009,23(2):64-69,81.
作者姓名:王开荣  郑丽  刘金魁
作者单位:重庆大学数理学院;
摘    要:给出了两类求解无约束最优化问题修正的HS共轭梯度法.在Wolfe线搜索下,无需给定下降条件即可得到算法的全局收敛性.数值试验证明了该方法的有效性和稳定性.

关 键 词:无约束最优化  共轭梯度法  Wolfe线搜索  充分下降性  全局收敛性  

Two Classes of Modified HS Conjugate Gradient Methods
WANG Kai-rong,ZHENG Li,LIU Jin-kui.Two Classes of Modified HS Conjugate Gradient Methods[J].Journal of Chongqing Institute of Technology,2009,23(2):64-69,81.
Authors:WANG Kai-rong  ZHENG Li  LIU Jin-kui
Affiliation:College of Mathematics and Physics;Chongqing University;Chongqing 400030;China
Abstract:In this paper,two classes of modified HS conjugate gradient methods is proposed to solve unconstrained optimization problems.And,under Wolfe line search conditions,this paper proves their global convergence without the given sufficient descent condition.Many numerical experiments show that they are very efficient and robust,and they can be widely used in scientific computation.
Keywords:unconstrained optimization  conjugate gradient method  Wolfe line search  sufficient descent property  global convergence  
本文献已被 CNKI 维普 等数据库收录!
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