函數(shù)的零點

函數(shù)的0點
 
摘要

本文就多項式函數(shù)、連續(xù)函數(shù)和導函數(shù)以及廣義函數(shù)的0點問題進行了討論.給出了函數(shù)和它的導函數(shù)0點個數(shù)的關系.定性地分析了解析函數(shù)的0點問題。然后借用泛函分析的理論解決不動點問題,并將壓縮映射原理進行推廣，得到了解方程的不動點方法，以及應用不動點原理求連續(xù)函數(shù)的0點.還討論了范數(shù)空間上函數(shù)的0點，及給出了范數(shù)空間上函數(shù)的0點集.在最后本文給出了求函數(shù)0點的數(shù)值方法.
關鍵詞：0點；存在性；函數(shù)；不動點

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

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