一类求解非线性问题的Runge-Kutta型迭代法(英文)

Runge-Kutta type iterative methods for nonlinear equations

介绍一类求解非线性方程组的迭代方法,它是由求解常微分方程初值问题的Runge-Kutta型方法得到的。给出此方法的收敛阶和一些具体的实用算法。

For solving nonlinear equations, a class of Runge-Kutta type iterative methods is presented to solve initial value problem of ordinary differential equations. The convergence orders of the methods are given. Some practical methods are given.