Neural Network for Solving Systems of Nonlinear Equations

ZHAO Hua-min; CHEN Kai-zhou

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Neural Network for Solving Systems of Nonlinear Equations

更新时间：2025-07-16

- Neural Network for Solving Systems of Nonlinear Equations
- Acta Electronica Sinica Vol. 30, Issue 4, Pages: 601-604(2002)
- 作者机构：
  
  西安电子科技大学理学院,陕西,西安,710071
- 作者简介：
- 基金信息：
- DOI：
  CLC： O241.7
- Published：2002
- 稿件说明：
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ZHAO Hua-min, CHEN Kai-zhou. Neural Network for Solving Systems of Nonlinear Equations[J]. Acta Electronica Sinica, 2002, 30(4): 601-604.
DOI：

ZHAO Hua-min, CHEN Kai-zhou. Neural Network for Solving Systems of Nonlinear Equations[J]. Acta Electronica Sinica, 2002, 30(4): 601-604. DOI：

摘要

本文提出了一种求解非线性方程组的神经网络方法

该方法对非线性方程组的任意给定的初始点

都能稳定地收敛到它的一个实根.文中首先严格地证明了该方法的稳定性、收敛性及可行性

然后给出了一个模拟算法及其应用.最后的数值试验结果表明该方法是有效的.

Abstract

A neural network for solving systems of nonlinear equations is proposed in this paper.For an arbitrarily given initial point of systems of nonlinear equations

the network converges to a real solution stably.First

the stability

convergence and feasibility of the network are strictly proved.Then a simulation algorithm and its applications are provided.Finally

some numerical tests are given to show the effectiveness of the network.

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