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FAROOQ AHMED SHAH1,*
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..
Halley method, Convergence, Steffensen’s method, Derivative-free method, Examples.
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
Optoelectronics and Advanced Materials - Rapid Communications
(2022): 0.5 - 2022 Journal Citation Reports (Clarivate Analytics, 2023)
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