首页 | 本学科首页   官方微博 | 高级检索  
     检索      

一种新的求解非线性方程组的混合遗传算法
引用本文:吴国辉,代冀阳,吴印华,朱国民.一种新的求解非线性方程组的混合遗传算法[J].南昌航空工业学院学报,2007,21(1):5-9.
作者姓名:吴国辉  代冀阳  吴印华  朱国民
作者单位:南昌航空工业学院 江西南昌330063(吴国辉,代冀阳,吴印华),中国直升机设计研究所11室 江西景德镇333001(朱国民)
摘    要:为了解决实际工程中经常遇到的求解非线性方程组的问题,作者提出了求解非线性方程组的一种新的思维,即首先将非线性方程组的数值求解问题转化为最优化问题,然后利用浮点遗传算法全局群体搜索能力及起始搜索速度快的特点,快速得到接近精确解的较优解,之后将其作为拟牛顿法迭代的初始值,利用其局部寻优能力非常强的特点,快速迭代至精确解。该混合遗传算法充分利用了浮点遗传算法与拟牛顿法的各自优点。

关 键 词:混合遗传算法  拟牛顿法  非线性方程组
文章编号:1001-4926(2007)01-0005-05
修稿时间:2007-02-10

A new hybrid genetic algorithm for solving nonlinear equations
WU Guo-hui,DAI Ji-yang,WU Yin-hua,ZHU Guo-min.A new hybrid genetic algorithm for solving nonlinear equations[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),2007,21(1):5-9.
Authors:WU Guo-hui  DAI Ji-yang  WU Yin-hua  ZHU Guo-min
Institution:1. Nanchang Institute of Aeronautical Technology, Nanchang, Jiangxi 330063; 2. No.11 Laboratory, Institute of Helicopter Research and Development of China, Jingdezhen, Jiangxi 333001, China
Abstract:We put forward a new method for solving nonlinear equations which areoften met in practice.At first,we transform the problems of solving nonlinear equations into the optimization problems,then take advantage of excellence of the floating genetic algorithms,gain the superior resulting which is close to the precise result quickly,and then take the resulting as the original value of the quasi-Newton iterations,which have strong ability in converging to precise result in the local part,iterating to the precise result quickly.The hybrid genetic algorithm absorbs the merits of the floating genetic algorithm and the quasi-Newton iterations fully.At last,we verify the hybrid genetic algorithm by two examples,the result shows that the algorithm has highly convergent velocity and reliable convergent resulting,so the hybrid genetic algorithm is a successful algorithm used for solving nonlinear equations.
Keywords:hybrid genetic algorithm  quasi-Newton iterations  nonlinear equations
本文献已被 CNKI 维普 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号