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基于改进遗传算法的非线性方程组求解

燕乐纬 陈树辉

中山大学学报(自然科学版)2011,Vol.50Issue(1):9-13,5.
中山大学学报(自然科学版)2011,Vol.50Issue(1):9-13,5.

基于改进遗传算法的非线性方程组求解

Solving Nonlinear Equations Based on Improved Genetic Algorithm

燕乐纬 1陈树辉2

作者信息

  • 1. 广州大学工程力学系,广东,广州,510006
  • 2. 中山大学应用力学与工程系,广东,广州,510275
  • 折叠

摘要

Abstract

Some methods such as population isolation mechanism, optimum reserved strategy, arithmetic crossover, adaptive random mutation and heterogeneous strategy are used to improve genetic algorithm.Besides the advantage that the optimal solution can be found only by the value of objective function, the local searching capability is enhanced in this improve genetic algorithm.This algorithm is applied to solve nonlinear equations.Numerical examples demonstrated that this algorithm can solve the optimization problem which has nonlinear equality constraint.Furthermore, the heterogeneous strategy speeds up the process of convergence and raises the convergence probability of global optimal solution.

关键词

非线性方程组/遗传算法/异种机制/自适应随机变异

分类

建筑与水利

引用本文复制引用

燕乐纬,陈树辉..基于改进遗传算法的非线性方程组求解[J].中山大学学报(自然科学版),2011,50(1):9-13,5.

基金项目

国家自然科学基金资助项目(10972240) (10972240)

中山大学学报(自然科学版)

OA北大核心CSCDCSTPCD

0529-6579

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