沿着积分曲线求解非线性方程组

Following Integral Curve for Solving Nonlinear Equations

由本文给出的常微分方程初值问题，可以确定一条光滑的积分曲线．用给定的算法可从任何初始点出发，沿该曲线达到它的的终点，就是非线性方程组的解．算法证明具有整体收敛性，并给出一些数值例子．

The initial value problem of ordinary differential equations presented in this paper can determine a smooth integral curve. Following this curve with any starting point, the algorithm given here can arrive the endpoint of the curve,the solution of nonlinear equations. The algorithm is shown to have global convergence. Some numerical examples arc given.