关键词: 非线性方程组, 粒子群算法, 拟牛顿法

Abstract: A hybrid algorithm for solving nonlinear equations is proposed in this paper． It has well combined their advantages of PSO and quasi-Newton method．The hybrid algorithm has sufficiently displayed the characteristics of PSO’s group searching and quasi-Newton method’s local strong searching． At the same time，it effectively overcomes the problem of high sensitivity to initial point of quasi-Newton method and shortcoming of PSO which reduces the searching efficiency in later period． Numerical experiments show that the hybrid algorithm has extremely stability，high convergence rate and precision．

Key words: nonlinear equations, Particle Swarm Optimization, quasi-Newton method