Algorithms for n-th root approximation

被引：7
|
作者：
Dubeau, F
机构：
[1] Dept. de Mathematiques et d'Info., Faculté des Sciences, Université de Sherbrooke, Sherbrooke, Que. J1K 2R1
来源：
COMPUTING | 1996年 / 57卷 / 04期
关键词：
n-th root; Newton's method; high order iterative methods;
D O I：
10.1007/BF02252255
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
From f(x) = x(n) - r and a polynomial Q(p)(y) = Sigma(i=0)(p)a(i)y(i), we consider Newton's method to solve F-p(x) = Q(p)(f(x)) = 0. We obtain convergent iterative methods of order p + 1 to find r(1/n) for arbitrary p.
引用
收藏
页码：365 / 369
页数：5
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