Third Order Iterative Methods Without Using Second Fréchet Derivative

Authors

  • Sergio Amat, Sonia Busquier & Vicente Candela

Keywords:

Nonlinear equations in Banach spaces, Third-order iterations, Divided difference.

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. 

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Published

2004-06-02

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  • 34

Issue

Vol. 22 No. 3 (2004)

Section

Articles

How to Cite

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