Third Order Iterative Methods Without Using Second Fréchet Derivative

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Abstract

A modification of classical third order methods is proposed. The main advantage of these methods is that they do not need evaluate any second order Fréchet derivative. A convergence theorem in Banach spaces is analyzed. Finally, some preliminary numerical results are presented. 

Keywords:

Nonlinear equations in Banach spaces Third-order iterations Divided difference.
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Third Order Iterative Methods Without Using Second Fréchet Derivative. (2004). Journal of Computational Mathematics, 22(3), 341-346. https://global-sci.com/index.php/JCM/article/view/11634