TY - JOUR T1 - Third Order Iterative Methods Without Using Second Fréchet Derivative JO - Journal of Computational Mathematics VL - 3 SP - 341 EP - 346 PY - 2004 DA - 2004/06 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8854.html KW - Nonlinear equations in Banach spaces, Third-order iterations, Divided difference. AB -

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.