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

页码：365 / 369

页数：5

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