节点文献
用遗传算法解算病态方程
STUDY ON APPLICATION OF GENETIC ALGORITHMS IN SOLVING ILL-CONDITIONED EQUATIONS
【摘要】 对应用遗传算法解决病态方程问题进行了探讨。利用拟合法而不是通过法方程求解参数 ,从而避免了法方程系数求逆 ,使病态方程的解答有了较好的结果。通过模拟计算并和其他方法进行比较 ,证明该方法是可行的和有效的。
【Abstract】 Genetic algorithms(GA) is used for solving ill-conditioned equations in this paper, and its principle is introduced briefly. Some problems that should be considered when using GA to solve ill-conditioned equations are demonstrated. Two ill-conditioned equations,as examples,are solved by GA method, singular value decomposition method and generalized ridge estimate method. The results of the two examples show that GA method is effective.
【关键词】 遗传算法;
病态方程;
岭估计;
奇异值分解;
【Key words】 genetic algorithms; ill-conditioned equation; generalized ridge estimate; singular value decomposition;
【Key words】 genetic algorithms; ill-conditioned equation; generalized ridge estimate; singular value decomposition;
【基金】 国家自然科学基金 (4 0 0 740 0 3 ) ;中科院重要方向项目 (KZCX2— 10 6) ;国家重大科学工程“中国地壳运动观测网络”项目
- 【文献出处】 大地测量与地球动力学 ,Crustal Deformation and Earthquake , 编辑部邮箱 ,2003年03期
- 【分类号】P20
- 【被引频次】36
- 【下载频次】697