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一个带有扰动因子的修正DL共轭梯度法 被引量：1

A Modified DL Conjugate Gradient Method with Disturbance Factors
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摘要 利用扰动因子修正DL共轭梯度法;在强Wolfe线搜索中σ<1/2条件下,证明了新方法产生的搜索方向具有充分下降性并且新方法对一般函数有全局收敛性;利用数值试验证明了新方法的数值有效性. This paper proposes a modified DL conjugate gradient with disturbance factors. In the case of strong Wolfe line search with σ<12 ,the directions of the new method possess sufficient descent condition and the new method is globally convergent. Finally numerical results are given.
作者 吴双江 杜学武
机构地区 重庆师范大学数学科学学院
出处 《湖北民族学院学报（自然科学版）》 CAS 2015年第4期375-378,共4页 Journal of Hubei Minzu University(Natural Science Edition)
基金 国家自然科学基金项目(11171363)
关键词 共轭梯度法 强Wolfe线搜索 扰动因子 全局收敛性 conjugate gradient method strong Wolfe line search disturbance factors global convergence
分类号 O224 [理学—运筹学与控制论]
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参考文献12

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共引文献3

同被引文献18

  • 1FLETCHER R,REEVES C.Function minimization by conjugate gradient[J].Computer Journal,1964,7:149-154.
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  • 10DAI Z F,CHEN L P.A mixed conjugate gradient method by HS and DY[J].Journal of Computational Mathematics,2005,27:429-436.

引证文献1

湖北民族学院学报（自然科学版）
2015年 第4期

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