Resumen de Conditioned divided diferences to solve nonlinear equations

Miguel Angel Hernández Verón, María Jesús Rubio

• In this paper, we study iterative processes of the Secant-type to solve nonlinear equations in the form F(x) = 0. To analyse the semilocal convergence of these methods, we generalize the usually (k, p)-Hölder continuous conditions and we consider omega-conditioned dividided differences.