| 基于差分进化算法确定SOR超松弛因子 |
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| 引用本文： | 田野,李春光,江巧永. 基于差分进化算法确定SOR超松弛因子[J]. 甘肃联合大学学报(自然科学版), 2011, 25(3): 5-8 |
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| 作者姓名： | 田野 李春光 江巧永 |
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| 作者单位： | 北方民族大学,数值计算与工程应用研究所,宁夏,银川,750021 |
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| 基金项目： | 国家自然科学基金项目(10961002); 研究生教育创新项目(A09009) |
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| 摘 要： | SOR迭代方法中的最佳超松弛因子的确定,一直是数值代数中的一个理论难题.本研究利用差分进化算法构造出近似确定SOR超松弛因子的自适应进化算法.数值算例表明,算法是实用和有效的.
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| 关 键 词： | 线性方程组 SOR迭代方法 松弛因子 差分进化算法 |
Based on the Differential Evolution Algorithm Determining the Relaxation Factor of SOR |
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| TIAN Ye,LI Chun-guang,JIANG Qiao-yong. Based on the Differential Evolution Algorithm Determining the Relaxation Factor of SOR[J]. Journal of Gansu Lianhe University :Natural Sciences, 2011, 25(3): 5-8 |
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| Authors: | TIAN Ye LI Chun-guang JIANG Qiao-yong |
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| Affiliation: | TIAN Ye,LI Chun-guang,JIANG Qiao-yong(Research Institute of Numerical Computation and Engineering Applications,North University for Nationalities,Yinchuan 750021,China) |
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| Abstract: | So far,determining the best relaxation factor of successive over-relaxation is a theoretical difficulties.In this paper,an adaptive evolution method determining the relaxation factor of SOR iterative is constructed by using differential evolution algorithm.The numerical results show that this new algorithm is feasible and practical for solving the linear systems. |
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| Keywords: | linear systems SOR best relaxation factor differential evolution algorithm |
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