NEWTON'S METHOD FOR COMPUTING THE FIFTH ROOTS OF p-ADIC NUMBERS

被引：0

作者：

Kim, Y. H. ^{[1
]}

Kim, H. M. ^{[2
]}

Choi, J. ^{[1
]}

机构：

[1] Kwangwoon Univ, Div Gen Educ Math, Seoul 139701, South Korea

[2] Kookmin Univ, Grad Sch Educ, Math Educ Major, Seoul 136702, South Korea

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2016年 / 20卷 / 02期

关键词：

Newton's method; p-adic roots;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We consider Newton's method to compute the fifth root of a p-adic number in Q(p). We have the sufficient conditions for the convergence of Newton's method and the speed of its convergence. We also calculate the number of iterations to obtain a number of corrected digits in the approximation.

引用

页码：353 / 362

页数：10

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