HERNÁNDEZ-VERÓN, M. A., HUESO, JOSÉ L., and MARTÍNEZ, EULALIA
Subjects
NONLINEAR operators, PROBLEM solving, ITERATIVE methods (Mathematics)
Abstract
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. [ABSTRACT FROM AUTHOR]