函數的零點(diǎn)

函數的0點(diǎn)
 
摘要

本文就多項式函數、連續函數和導函數以及廣義函數的0點(diǎn)問(wèn)題進(jìn)行了討論.給出了函數和它的導函數0點(diǎn)個(gè)數的關(guān)系.定性地分析了解析函數的0點(diǎn)問(wèn)題。然后借用泛函分析的理論解決不動(dòng)點(diǎn)問(wèn)題,并將壓縮映射原理進(jìn)行推廣，得到了解方程的不動(dòng)點(diǎn)方法，以及應用不動(dòng)點(diǎn)原理求連續函數的0點(diǎn).還討論了范數空間上函數的0點(diǎn)，及給出了范數空間上函數的0點(diǎn)集.在最后本文給出了求函數0點(diǎn)的數值方法.
關(guān)鍵詞：0點(diǎn)；存在性；函數；不動(dòng)點(diǎn)

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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