| 引用本文： |
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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. [点击复制]
- YUAN Gong-lin,WEI Zeng-xin,LU Xi-wen.A Modified Gauss-Newton-based BFGS Method for Symmetric Nonlinear Equations[J].Guangxi Sciences,2006,13(4):288-292. [点击复制]
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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. |
| 关键词: 对称方程组 BFGS方法 全局收敛 超线性收敛 |
| DOI： |
| 投稿时间：2006-04-14修订日期：2006-06-23 |
| 基金项目:This Work is Supportted by Guangxi University SF Grands (X061041). |
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| A Modified Gauss-Newton-based BFGS Method for Symmetric Nonlinear Equations |
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YUAN Gong-lin1, WEI Zeng-xin2, LU Xi-wen1
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| (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) |
| 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. |
| Key words: symmetric equations BFGS method global convergence superlinear convergence |
