基于粒子群算法的非线性方程组求解

SOLVING NONLINEAR SYSTEMS OF EQUATIONS BASED ON PARTICLE SWARM OPTIMIZATION

将非线性方程组的求解问题转化为无约束极大极小优化问题,并应用一种新的进化计算(EC)方法———粒子群算法(PSO)求解此优化问题。数值实验的结果验证了该方法的可行性和有效性。

The solving problem for nonlinear systems of equations is transformed to the unconstrained minimax optimization problem, and then,the particle swarm optimization （PSO） algorithm which is a new evolutionary computation （EC） method is used for solving the minimax problem. Numerical results show the feasibility and efficiency of this method.