HOUSEHOLDER'S APPROXIMANTS AND CONTINUED FRACTION EXPANSION OF QUADRATIC IRRATIONALS

被引：0

作者：

Petricevic, Vinko ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

来源：

GLASNIK MATEMATICKI | 2013年 / 48卷 / 02期

关键词：

Continued fractions; Householder's iterative methods; NEWTONS FORMULA; ROOT-D;

D O I：

10.3336/gm.48.2.02

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

There are numerous methods for rational approximation of real numbers. Continued fraction convergent is one of them and Newton's iterative method is another one. Connections between these two approximation methods were discussed by several authors. Householder's methods are generalisation of Newton's method. In this paper, we will show that for these methods analogous connection with continued fractions hold.

引用

页码：231 / 247

页数：17

共 16 条

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