区间-粒子群算法求解非线性方程组

Interval-Particle Swarm Algorithm for Solving Nonlinear Equations

将粒子群算法的群体搜索优点和区间算法的区间分析相结合,提出了一种求解非线性方程组的区间-粒子群算法.在迭代过程中,先用粒子群算法的全局收敛性和群体搜索能力得到近似解,再用区间算法的精确搜索能力快速得到高精度的解.数值实验表明:该算法能在较大范围的初始区间内快速可靠的迭代得到高精度的解,是求解非线性方程组的一种有效的算法.

By integrating the advantage of group search in particle swarm algorithm with the interval analysis in interval algotihm,a new Interval-particle algorithm for solving nonlinear equations is proposed in the paper.In the process of iteration the approximate solution is obtained first by using the global convergence and group search ability of the particle algorithm,then using the accurate search ability of the iterval algorithm the high accuracy solution is promptly gained.Numerical experiments show that the algorithm is fast and reliable in iteration to determine the high accuracy solution within a rather wide scope and it is a reliable approach in solving nonlinear equations.