New variants of Jarratt’s method with sixth-order convergence

被引：0
|
作者：
Hongmin Ren
Qingbiao Wu
Weihong Bi
机构：
[1] Hangzhou Radio and TV University,Department of Information and Electronics
[2] Zhejiang University,Department of Mathematics
来源：
Numerical Algorithms | 2009年 / 52卷
关键词：
Nonlinear equations; Iterative methods; Jarratt’s method; Order of convergence; Two-variable Taylor expansion formula; 65H05; 65B99;
D O I：
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学科分类号：
摘要：
In this paper, by using the two-variable Taylor expansion formula, we introduce some new variants of Jarratt’s method with sixth-order convergence for solving univariate nonlinear equations. The proposed methods contain some recent improvements of Jarratt’s method. Furthermore, a new variant of Jarratt’s method with sixth-order convergence for solving systems of nonlinear equations is proposed only with an additional evaluation for the involved function, and not requiring the computation of new inverse. Numerical comparisons are made to show the performance of the presented methods.
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页码：585 / 603
页数：18
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