解多元非线性方程组的神经网络方法

Neural network method for solving systems of nonlinear multivariable equations

提出了一种求解多元非线性方程组的新方法———神经网络方法 ,证明了该方法的稳定性、可行性及收敛性 ,并给出了算法的具体步骤 .仿真结果表明 ,该算法对多元非线性方程组的任意给定的初始点 ,都能很快收敛到它的一个实根 ,因而 ,该算法是有效的 .

A new method—the neural network method for solving systems of nonlinear multivariable equations is proposed. First, the stability, feasibility and convergence of the method are proved. Then concrete steps of the algorithm are provided. Finally, an example is given to show that for an arbitrarily given initial point of systems of nonlinear multivariable equations the algorithm converges to a real solution quickly, so the algorithm is effective.