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.