| 一种线搜索下修正LS共轭梯度法的全局收敛性 |
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| 引用本文： | 李晓峰.一种线搜索下修正LS共轭梯度法的全局收敛性[J].西南民族学院学报(自然科学版),2009,35(5):923-927. |
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| 作者姓名： | 李晓峰 |
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| 作者单位： | 太原科技大学应用科学学院,太原,030024 |
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| 基金项目： | 山西省自然科学基金资助项目 |
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| 摘 要： | 根据一种可获得更大步长的非精确线搜索条件，结合LS共轭梯度法的计算公式，本文给出了一种修正LS算法，该算法保证每次迭代中的搜索方向是充分下降的，并证明了该算法是全局强收敛的．
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| 关 键 词： | LS共轭梯度法 非精确线搜索 全局收敛性 |
Global convergence of a modified LS conjugate gradient method under a kind of inexact line search |
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| LI Xiao-feng.Global convergence of a modified LS conjugate gradient method under a kind of inexact line search[J].Journal of Southwest Nationalities College(Natural Science Edition),2009,35(5):923-927. |
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| Authors: | LI Xiao-feng |
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| Institution: | LI Xiao-feng (School of Applied Sciences, Taiyuan University of Science and Technology, Taiyuan 030024, P.R.C.) |
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| Abstract: | According to a kind of inexact line search that can obtain larger step size, based on the formula of LS conjugate gradient method, a modified LS algorithm is given, which can guarantee that the search direction is a sufficient descent direction at each iteration, and then it is proved that the method is strongly globally convergent under two different Armijo-type line searches. |
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| Keywords: | LS conjugate gradient method inexact line search global convergence |
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