双种群进化策略解奇异非线性方程组

摘要

鉴于传统优化算法在求解奇异非线性方程组中存在受初值选取是否合适的影响、收敛速度慢且容易陷入局部最优解等缺点,提出一种改进双种群进化策略求解奇异非线性方程组算法.首先把奇异非线性方程组转化为无约束优化问题,再求解无约束优化.该算法克服了传统算法不足,避免了大量的求导计算,算法收敛速度快、求解精度高、稳定性强.%There are several problems in traditional optimization algorithm in solving singular nonlinear equations such as the effect of the appropriate selection of initial value,slow convergence and easily falling into local optimal solution.In this paper,an improved Bi-group evolution strategies is proposed to solve the singular nonlinear equations.The algorithm singular nonlinear equations for unconstrained optimization problems are used to solve unconstrained optimization.The simulation results indicates that the algorithm overcome the problems of traditional algorithm,is insufficient to avoid a large number of derivative calculation,and is fast convergence,high accuracy and high stability.