解非线性方程的三个Steffensen型双侧逼近迭代算法

Three Stcffcnscn-like Two-side Approximate Methods for Solving Nonling Equation

本文讨论了三类具有不同单调性质单向广义均差的非线性方程,在一定初值条件下极大、极小解的存在性,以及相应的Steffensen型双侧逼近迭代算法的收敛性,并给出了若干数值例子。

In this paper, we discnss three classes of nonlinear equation, which has different unilateral generalized divided difference. For these equations we show the existence of maxima] and minimal solutions under some initial conditions, and the convergence of Stcffcnscn-like two-side approximate method. Some numercal examples are given.