函数的零点

函数的0点
 
摘要

本文就多项式函数、连续函数和导函数以及广义函数的0点问题进行了讨论.给出了函数和它的导函数0点个数的关系.定性地分析了解析函数的0点问题。然后借用泛函分析的理论解决不动点问题,并将压缩映射原理进行推广，得到了解方程的不动点方法，以及应用不动点原理求连续函数的0点.还讨论了范数空间上函数的0点，及给出了范数空间上函数的0点集.在最后本文给出了求函数0点的数值方法.
关键词：0点；存在性；函数；不动点

zeros of function
 
Abstract

The present paper mainly introduced the zero of polynomial， the existence of consecution function zero point had been proved. And had studied the zero of complex function，also studied fixed point in the generalized function，had studied the zero of function in norm space. Finally the method of asking for function zero have been given.
Keywords: existence;  function;  zero point;  fixed point