关键词: 非线性方程组l, 经网络, 迭代算法, 收敛性

Abstract: Solving nonlinear equation groups is a principal problem in engineering study.Common solving algorithms all have their disadvantages.Because neural network can precisely approach any function，it is used to approach the inverse function of function of nonlinear equation groups，this dissertation giving numerical algorithm for the groups.First，a simple algorithm of neural network is given.In order to solve problems of big or wrong given area of roots，a iterative algorithm is advanced by reducing or changing the given area.The calculations show that all these algorithms have simple format，high precision and hence big practical value，therefore having a good future of application in theoretical and engineering fields.At last，advantages of algorithms and ways to improve are given.

Key words: nonlinear equation groups, neural network, iterative algorithm, convergence