关键词: 局部优化, 交叉, 非线性方程

Abstract: Traditional methods for solving nonlinear equations, such as Newton’s method, gradient descent method and so on,but they are required continuous differentiable, initial value selection. Aiming at above faults, the solution of the problem is transformed to an optimization problem. A new crossover foraging algorithm which is made full use of the ability of local search and particle swarm algorithm bacterial search ability, giving full play to the advantages of the two algorithms is proposed. Numerical experiments result shows that the new algorithm can make up for the lack of local search ability of particle swarm optimization algorithm and bacterial foraging algorithm global searching ability. This algorithm is an effective method for solving nonlinear equations.

Key words: local optimization, crossover, nonlinear equations