求解非线性方程组的蚁群算法

Ant Colony Algorithm for Solving Nonlinear Equations

研究非线性方程组的求解问题,提高有效性。针对非线性方程数与变量数一致的非线性方程组问题,当方程组是一些强非线性方程组时,传统方法易导致失败,有效率低。为了提高求解强非线性方程组的求解效率,提出一种蚁群算法的求解方法。首先将方程组问题转化为函数优化问题,然后用全局搜索速度快的蚁群算法对函数进行求解,找到最优解,最后通过具体实例进行仿真研究,结果表明蚁群算法的有效性。

Study solving problem of nonlinear equations,and improve effectiveness.According to the same number of nonlinear equation and variable of nonlinear equations,when equations are some strong nonlinear equations,the traditional method easily lead to failure and low efficient.In order to improve the efficiency of solving the strongly nonlinear equations,this paper puts forward a method of calculating the ant colony algorithm.Frist,the equations problem is transformed into a function optimization problem,then take use of ant colony algorithm with quickly global search speed to solve function,and find the optimal solution.Finally do simulation research through the concrete example.