一种基于人工蜂群求解非线性方程组的优化算法

An Optimization Algorithm for Solving Nonlinear Equations Based on Artificial Bee Colony

非线性方程组一直是工程应用和数学应用领域的重要研究方向,该方程组的求解方法是目前各领域的研究热点。传统的人工蜂群算法在运算过程中收敛速度较低,多峰是局部最优解的局限。基于差分进化算法,提出一种基于人工蜂群求解非线性方程组的优化算法。提出的改进算法加入了个体当前随机向量和最优值,促使运算收敛束缚的提升,避免了传统算法的不足,实现运算收敛速度和收敛精度的大幅度提高。

to solve nonlinear equations is the main research problem of engineering application field and application field of mathematics.At present,the main method for solving nonlinear equations is artificial bee colony algorithm,but the traditional artificial bee colony algorithm in the process of operation speed of convergence is low.This paper presents an optimization algorithm for solving nonlinear equations based on artificial bee colony,which joins the current random vector and optimal value,promotes the operation of convergence bound to ascend,avoids the shortcomings of traditional method and achieves computing convergence speed and precision greatly.