A triparametric family of three-step optimal eighth-order methods for solving nonlinear equations

被引：10
|
作者：
Kim, Young Ik [1 ]
机构：
[1] Dankook Univ, Dept Appl Math, Cheonan 330714, Chungnam, South Korea
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2012年 / 89卷 / 08期
关键词：
eighth-order convergence; efficiency index; triparametric family; three-parameter family; asymptotic error constant; ITERATIVE METHODS;
D O I：
10.1080/00207160.2012.673597
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new triparametric family of three-step optimal eighth-order iterative methods free from second derivatives are proposed in this paper, to find a simple root of nonlinear equations. Convergence analysis as well as numerical experiments confirms the eighth-order convergence and asymptotic error constants.
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页码：1051 / 1059
页数：9
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