斯蒂芬森-牛顿类迭代法的二阶收敛性

The Quadratic Convergence of the Steffensen-Newton-Like Iteration Method

讨论一种解非线性方程的具有变参数的不带导数的二阶收敛迭代法.利用动力系统理论推导出该方法的迭代公式,证明其在某些弱条件下至少是二阶收敛的,最后给出了数值结果.

A quadratic convergent iteration method with adjusted parameters without derivative for solving nonlinear equations is discussed in this paper. We have deduced the iterative formula by the theory of the dynamic system, proved that the quadratic convergence holds under the weak conditions, and done the numerical experiments.