Modified Chebyshev-Halley type method and its variants for computing multiple roots

被引：11
|
作者：
Sharma, Janak Raj [1 ]
Sharma, Rajni [2 ]
机构：
[1] St Longowal Inst Engn & Technol, Dept Math, Longowal 148106, Sangrur, India
[2] DAV Inst Engn & Technol, Dept Appl Sci, Jalandhar 144008, India
来源：
NUMERICAL ALGORITHMS | 2012年 / 61卷 / 04期
关键词：
Nonlinear equations; Newton method; Chebyshev-Halley method; Rootfinding; Multiple roots; Order of convergence; FAMILY;
D O I：
10.1007/s11075-012-9551-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present two families of third order methods for finding multiple roots of nonlinear equations. One family is based on the Chebyshev-Halley scheme (for simple roots) and includes Halley, Chebyshev and Chun-Neta methods as particular cases for multiple roots. The second family is based on the variant of Chebyshev-Halley scheme and includes the methods of Dong, Homeier, Neta and Li et al. as particular cases. The efficacy is tested on a number of relevant numerical problems. It is observed that the new methods of the families are equally competitive with the well known special cases of the families.
引用
收藏
页码：567 / 578
页数：12
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