| 一个修改的求解非线性对称方程组的高斯-牛顿BFGS方法 |
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| 引用本文： | 袁功林,韦增欣,鲁习文.一个修改的求解非线性对称方程组的高斯-牛顿BFGS方法[J].广西科学,2006,13(4):288-292. |
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| 作者姓名： | 袁功林 韦增欣 鲁习文 |
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| 作者单位： | 华东理工大学理学院,上海,200237;广西大学数学与信息科学学院,广西南宁,530004 |
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| 基金项目： | This Work is Supportted by Guangxi University SF Grands （X061041）. |
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| 摘 要： | 在文献10]的基础上,给出一个修改的求解非线性对称方程组问题的高斯-牛顿BFGS方法,并建立该方法的全局和超线性收敛性.该方法比原方法的效果要好.
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| 关 键 词： | 对称方程组 BFGS方法 全局收敛 超线性收敛 |
| 文章编号： | 1005-9164（2006）04-0288-05 |
| 收稿时间： | 2006-04-14 |
| 修稿时间： | 2006-06-23 |
A Modified Gauss-Newton-based BFGS Method for Symmetric Nonlinear Equations |
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| YUAN Gong-lin,WEI Zeng-xin and LU Xi-wen.A Modified Gauss-Newton-based BFGS Method for Symmetric Nonlinear Equations[J].Guangxi Sciences,2006,13(4):288-292. |
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| Authors: | YUAN Gong-lin WEI Zeng-xin and LU Xi-wen |
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| Institution: | 1. School of Science, East China University of Science and Technology, Shanghai, 200237, China 2. College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China |
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| Abstract: | In this paper, a modified Gauss-Newton-based BFGS method based on the technique of Li and Fukushima 10] is proposed. The given method possesses the global and superlinear convergence under mild conditions. The presented method is better than the normal method for the given problem. |
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| Keywords: | symmetric eouations BFGS method lobal convergence superlinear convergence |
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