Modified Chebyshev-Halley type method and its variants for computing multiple roots
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- Sharma, J.R. & Sharma, R. Numer Algor (2012) 61: 567. doi:10.1007/s11075-012-9551-4
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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.