Some Geometric Constructions of Two Variants of Newton's Method to Solving Nonlinear Equations with Multiple Roots

被引：0
|
作者：
Cadenas, Carlos E. R. [1 ]
机构：
[1] Univ Carabobo, FaCyT, Dept Matemat, Valencia, Venezuela
来源：
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS | 2018年 / 50卷 / 01期
关键词：
Geometric construction; Newton's method; multiple roots; nonlinear equations;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we give some geometric constructions of variations of Newton's method, based on ideas of Schroder, for the case that roots are multiple. A straight line and a polynomial are used to construct the iteration equation when the multiplicity of the root is known. In the case that the multiplicity is unknown another straight line and a rational function are used. Representative figures of an example are given.
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页码：15 / 21
页数：7
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