用微粒群算法求解多元非线性方程组  

SOLVING SYSTEM OF MULTIVARIATE NON-LINEAR EQUATIONS WITH PARTICLE SWARM OPTIMIZER

作　　者：祝成虎[1] 陈燕龙[1] 

机构地区：[1]广州航海高等专科学校基础部,广东广州510725

出　　处：《广州航海高等专科学校学报》2008年第3期4-6,共3页Journal of Guangzhou Maritime College

基　　金：广州航海高等专科学校自然科学研究基金项目(200612B16)

摘　　要：分析了将多元非线性方程组的求解问题转化为求多元函数极值的优化问题的原理和方法;利用微粒群算法在连续空间中的优化能力求得极值点,得到方程组的近似解;给出了优化算法的具体流程;通过两个算例说明算法的可行性和有效性,实验结果表明此算法具有较高的效率和精度.This thesis analyses the principle and method which converts the solving problem of system of multivariate non-linear equations to the optimization problem of searching multivariate function extreme value, by using PSO＇s optimization ability in continuous space to find extreme points and the approximate solutions of the equations, and studies the special flow of the optimization algorithm, which shows the feasibility and effectivity through two examples, the results of these experiments present high effect and precision of the algorithm.

关 键 词：多元非线性方程组 近似解 微粒群算法 惯性权重 优化 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]