In this paper, by using symmetric first-order divided differences, we introduce a new family of Secant-like iterative methods with quadratic convergence. Afterthought, we analyze its semilocal and local behavior when the nonlinear operator F is not differentiable by imposing appropriate bounding conditions in each case. Theoretical results have also been tested by solving a problem which shows the applicability of our work.

 

 

 

Additional Information

Author(s)

 Hernández-Verón, M. A.,  Hueso, José. L.,  Martínez, Eulalia

DOI

https://doi.org/10.37193/CJM.2024.01.05