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.
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页码：353 / 362
页数：10
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