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J. A. Ezquerro and M. A. Hernandez, “A Uniparametric Halley-Type Iteration with Free Second Derivative,” International Journal of Pure and Applied Mathematics, Vol. 6, No. 1, 2003, pp. 103-114.

has been cited by the following article:

• TITLE: New Ninth Order J-Halley Method for Solving Nonlinear Equations

  AUTHORS: Farooq Ahmad, Sajjad Hussain, Sifat Hussain, Arif Rafiq

  KEYWORDS: Halley Method; Jarratt Method; Iterative Methods; Convergence Order; Numerical Examples

  JOURNAL NAME: Applied Mathematics, Vol.4 No.12, December 5, 2013

  ABSTRACT: In the paper [1], authors have suggested and analyzed a predictor-corrector Halley method for solving nonlinear equations. In this paper, we modified this method by using the finite difference scheme, which had a quantic convergence. We have compared this modified Halley method with some other iterative methods of ninth order, which shows that this new proposed method is a robust one. Some examples are given to illustrate the efficiency and the performance of this new method.