求解非线性方程组的人工鱼群算法  

Artificial Fish Swarm Algorithm for Solving Systems of Nonlinear Equations

作　　者：段志翔[1] 俞智慧[2] 吴烈阳 宋晔 

机构地区：[1]江西科技职业学院,江西南昌330200 [2]上饶师范学院数学与计算机科学学院,江西上饶334001 [3]江西省高速公路联网管理中心,江西南昌330003

出　　处：《软件导刊》2012年第5期33-35,共3页Software Guide

摘　　要：针对传统数值方法求解非线性方程组时对初始值敏感与收敛性差等问题,探讨了应用人工鱼群算法求解非线性方程组的方法。将非线性方程组的求解问题转化为函数优化问题,应用人工鱼群算法进行优化求解。使用该方法不需要借助目标函数的初始点信息和导数信息,通过数值实验结果可知该方法具有有效性和可行性。Considering that the problems of classical algorithms for solving systems of nonlinear equations,such as high sensitivity to the initial guess of the solution and poor convergence reliability,etc.The method using Artificial Fish Swarm Algorithm to solve systems of nonlinear equations problems is discussed in this paper.The problem of solving systems of nonlinear equations problems is transferred to the problem of function optimization,and the Artificial Fish Swarm Algorithm is applied to solving the problem.The derivative of objective function and initial point of information is not used in the computation.Numerical results show that the algorithm is feasible and effective.

关 键 词：人工鱼群算法 非线性方程组 函数优化 

分 类 号：TP312[自动化与计算机技术—计算机软件与理论]