Some efficient derivative-free iterative methods for solving nonlinear equations
FAROOQ AHMED SHAH1,*
Affiliation
- Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan
Abstract
In this paper, we suggest and analyze some new iterative methods for solving nonlinear equations. By using suitable
transformations, we remove the derivatives of the function and obtain some derivative-free family of Halley and
Householder type iterative methods. We also give several examples to illustrate the efficiency of these methods.
Comparison with other similar method is also given. These new methods can be considered as alternative to the developed
derivative-free methods. This technique can be used to suggest a wide class of new iterative methods for solving nonlinear
equations..
Keywords
Halley method, Convergence, Steffensen’s method, Derivative-free method, Examples.
Citation
FAROOQ AHMED SHAH, Some efficient derivative-free iterative methods for solving nonlinear equations, Optoelectronics and Advanced Materials - Rapid Communications, 10, 3-4, March-April 2016, pp.294-299 (2016).
Submitted at: Jan. 30, 2015
Accepted at: April 5, 2016