J. Biazar and B. Ghanbari, “Some Higher-Order Families of Methods for Finding Simple Roots of Nonlinear Equations,” General Mathematics Notes, Vol. 7, No. 1, 2011, pp. 46-51.
has been cited by the following article:
TITLE: A New Family of Nonlinear Fifth-Order Solvers for Finding Simple Roots
AUTHORS: Behzad Ghanbari
KEYWORDS: Iterative Methods; Simple-Root of Nonlinear Equations; Newton’s Method
JOURNAL NAME: Applied Mathematics, Vol.3 No.6, June 26, 2012
ABSTRACT: In this paper, we present a new family of iterative methods for solving nonlinear equations. It is proved that the order of convergence of this family is five. Two functions and two derivative evaluations should be computed per iteration. To demonstrate convergence properties of the proposed family of methods, some numerical examples are given. Further numerical comparisons are made with several other existing fifth-order methods.