Families of Newton-like methods with fourth-order convergence

被引：33

作者：

Jain, Divya ^{[1
]}

机构：

[1] Guru Gobind Singh Indraprastha Univ, Univ Sch Basic & Appl Sci, Sect 16 C, Delhi 110075, India

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2013年 / 90卷 / 05期

关键词：

Newton method; secant method; order of convergence; trapezoidal rule; fourth-order convergence; inverse function; 65H05; 3RD-ORDER CONVERGENCE; NONLINEAR EQUATIONS; CUBIC CONVERGENCE; VARIANT; ROOTS;

D O I：

10.1080/00207160.2012.746677

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Families of fourth-order methods are presented which are obtained by existing third-order methods applied in succession with the secant method.

引用

页码：1072 / 1082

页数：11

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