| 精确一维搜索下几种共轭梯度法的分析比较 |
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| 引用本文： | 张燕,徐尔.精确一维搜索下几种共轭梯度法的分析比较[J].北京工商大学学报(自然科学版),2009,27(1). |
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| 作者姓名： | 张燕 徐尔 |
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| 作者单位： | 北京科技大学应用科学学院,北京,100083 |
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| 摘 要： | 共轭梯度法是求解无约束非线性规划问题的一种重要方法.针对的几种计算公式,通过几个典型计算实例,对精确一维搜索下所述几种β_k的几种计算公式所决定的算法的收敛效果进行比较,分析了它们的数值计算过程、收敛速度及全局收敛性的优劣.
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| 关 键 词： | 共轭梯度法 PRP算法 FR算法 CD算法 HS算法 |
COMPARISON OF SEVERAL KINDS OF CONJUGATE GRADIENT WITH EXACT LINEAR SEARCHES |
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| ZHANG Yan,XU Er.COMPARISON OF SEVERAL KINDS OF CONJUGATE GRADIENT WITH EXACT LINEAR SEARCHES[J].Journal of Beijing Technology and Business University:Natural Science Edition,2009,27(1). |
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| Authors: | ZHANG Yan XU Er |
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| Institution: | School of Applied Science;University of Science and Technology Beijing;Beijing 100083;China |
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| Abstract: | Conjugate gradient is an important method that is used to solve the problem of unconstrained nonlinear.The paper summarizes several methods of conjugate gradient and discusses the advantages and disadvantages with exact linear searches of them.The comparison of these methods is implemented by calculating some examples. |
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| Keywords: | conjugate gradient PRP method FR method CD method HS method |
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