一种基于Memetic算法的非线性方程组求解算法

A algorithm for nonlinear equations based on Memetic algorithm

提出了Memetic算法求解非线性方程组的策略,在Memetic算法流程中,采用自适应多点交叉和随机点变异策略,在交叉和变异后均通过拟牛顿局部搜索策略对染色体种群进行优化,以提高算法的求解性能.仿真结果表明,所提算法在求解非线性方程组时是有效的.

we propose a strategy of self-adapting multi-point cross and random mutation under the frame of memetic algorithm to solve the nonlinear equations.we optimize the group of chromosome after both cross and mutation by quasi-newton local search strategy in order to improve the solution performance.Numerical experiments indicate that the memetic algorithm has a good effect on solving nonlinear equations.