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用遗传算法解大规模病态线性方程组
引用本文:赖鑫生,谭国律,周玉林.用遗传算法解大规模病态线性方程组[J].上饶师范学院学报,2006,26(6):85-88.
作者姓名:赖鑫生  谭国律  周玉林
作者单位:上饶师范学院,江西,上饶,334001
摘    要:大规模病态线性方程组的求解是相当困难的。本文尝试使用遗传算法求解大规模病态线性方程组,采用了改善方程组病态程度的预处理及多种杂交手段相结合改善遗传算法搜索性能两项措施,结果表明遗传算法求解大规模病态方程组是可行有效的。

关 键 词:线性方程组  病态  大规模  遗传算法
文章编号:1004-2237(2006)06-0085-04
收稿时间:2006-05-16
修稿时间:2006年5月16日

Using Genetic Algorithms to Solve Large Scale Ⅲ- Conditioned Linear Systems of Equation
LAI Xin-sheng,TAN Guo-lu,ZHOU Yu-lin.Using Genetic Algorithms to Solve Large Scale Ⅲ- Conditioned Linear Systems of Equation[J].Journal of Shangrao Normal College,2006,26(6):85-88.
Authors:LAI Xin-sheng  TAN Guo-lu  ZHOU Yu-lin
Institution:Shangrao Normal College, Shangrao Jiangxi 334001 ,China
Abstract:Solving large scale ill-conditioned linear systems of equation is very difficult.This paper is trying to use genetic algorithms to solve large scale ill-conditioned linear systems of equation.Equalization of the equations is used to decrease the morbidity degree of the linear systems of equation,and several kinds of crossover operators are adopted to improve the search ability of genetic algorithms.The experimental results show that genetic algorithms could effectively sove large scale ill-conditioned linear systems of equation.
Keywords:Linear systems of equation  ill-conditioned  large scale  genetic algorithms
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