Journal of Pure and Applied Mathematics: Advances and Applications[1] S. Amat, S. Busquier and J. M. Gutiérrez, Geometric constructions
of iterative functions to solve nonlinear equations, J. Comput. Appl.
Math. 157 (2003), 197-205.
[2] C. Chun, Certain improvement of Chebyshev-Halley methods with
accelerated fourth-order convergence, Appl. Math. Comput. 189 (2007),
597-601.
[3] J. A. Ezquerro and M. A. Hernandez, A uniparametric Halley-type
iteration with free second derivative, Int. J. Pure Appl. Math. 6(1)
(2003), 103-114.
[4] J. A. Ezquerro and M. A. Hernandez, On Halley-type iterations with
free second derivative, J. Comput. Appl. Math. 170 (2004), 455-459.
[5] M. Grau, An improvement to the computing of nonlinear equation
solutions, Numer. Algor. 34 (2003), 1-12.
[6] J. Kou and Y. Li, A variant of Chebyshev’s method with
sixth-order convergence, Numer. Algor. 43 (2006), 273-278.
[7] J. Kou, Y. Li and X. Wang, A family of fifth-order methods
composed of Newton and third-order methods, Appl. Math. Comput. 186
(2007), 1258-1262.
[8] J. Kou and Y. Li, The improvements of Chebyshev-Halley methods
with fifth-order convergence, Appl. Math. Comput. 188 (2007), 143-147.
[9] K. Inayat Noor and M. Aslam Noor, Predictor-corrector Halley
method for nonlinear equations, Appl. Math. Comput. 188 (2007),
1587-1591.
[10] M. Aslam Noor, W. Asghar Khan and A. Hussain, A new modified
Halley method without second derivatives for nonlinear equations,
Appl. Math. Comput. 189 (2007), 1268-1273.
[11] A. M. Ostrowski, Solutions of Equations in Euclidean and Banach
Space, Third ed., Academic Press, New York, 1973.
[12] X. Zhou, Modified Chebyshev-Halley methods free from second
derivative, Appl. Math. Comput. 203 (2008), 824-827.
