用遗传算法解大规模病态线性方程组  

Using Genetic Algorithms to Solve Large Scale Ill-Conditioned Linear Systems of Equation

作　　者：赖鑫生[1] 谭国律[1] 周玉林[1] 

机构地区：[1]上饶师范学院,江西上饶334001

出　　处：《上饶师范学院学报》2006年第6期85-88,共4页Journal of Shangrao Normal University

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。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 sore large scale ill - conditioned linear systems of equation.

关 键 词：线性方程组 病态 大规模 遗传算法 

分 类 号：O241.6[理学—计算数学]