一类不动点迭代法的求解

Solving a Tpye of Fixed-Point Iteration Method

不动点迭代方法是求解非线性方程近似根的一个重要方法,其应用非常广泛.对迭代函数不满足收敛定理条件的一类情况进行了研究,归纳出几种迭代方法,同时给出实例,并用C语言编程上机进行了计算,最后对迭代收敛结果进行了分析和比较.

Fixed-Point Iteration method is an important technique to solve nonlinear equations for calculating approximate roots and applied widely. In this paper, we invesitgate on a type of fixed-point iteration method, which dosen＇ t satisfies convergence conditions methods to solve special equation. We also present an methods. At last, we compare convergence speed and about iteration method , and propose four iteration example and its C programme about these iteration analyze the result of these iteration methods.