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

被引：0
作者：
Janak Raj Sharma
Rajni Sharma
机构：
[1] Sant Longowal Institute of Engineering and Technology,Department of Mathematics
[2] D.A.V. Institute of Engineering and Technology,Department of Applied Sciences
来源：
Numerical Algorithms | 2012年 / 61卷
关键词：
Nonlinear equations; Newton method; Chebyshev-Halley method; Rootfinding; Multiple roots; Order of convergence; 65H05; 65B99;
D O I：
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中图分类号：
学科分类号：
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.
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页码：567 / 578
页数：11
相关论文
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