解非线性方程组的多目标优化进化算法  

Multi-objective evolutionary algorithm for solving nonlinear system of equations

作　　者：刘素红[1] 刘淳安[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《计算机工程与应用》2013年第18期48-51,共4页Computer Engineering and Applications

基　　金：陕西省教育厅科研计划项目(No.11JK0506;No.12JK1003);宝鸡文理学院校级重点科研计划项目(No.ZK12044;No.ZK12092)

摘　　要：如何有效地求解复杂非线性方程组是进化计算领域一个新的研究问题。将非线性方程组等价地转化成多目标优化问题,同时设计了求解的多目标优化进化算法。为了提高算法的搜索能力及避免算法陷入局部最优,采用了自适应Levy变异进化算子和均匀杂交算子。计算机仿真表明该算法对非线性方程组的求解是有效的。How to effectively solve complex nonlinear system of equations is a novel research problem in evolution field.Nonlinear system of equations is transformed into a multi-objective optimization problem and a new multi-objective optimization evolutionary algorithm is proposed.In order to enhance the search ability of the proposed algorithm and avoid the algorithm falls into the local optimum,the self-adaptive evolution operator and the uniform crossover operator are used.The computer simulations demonstrate the effectiveness of the proposed algorithm to solve nonlinear system of equations.

关 键 词：非线性方程组 进化计算 多目标优化 最优解 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构] O224[自动化与计算机技术—计算机科学与技术]