Title: On several Gander’s theorem based third-order iterative methods for solving nonlinear equations and their geometric constructions
Author: Cadenas Román, Carlos Eduardo
Abstract: In this paper new families of methods based on Gander’s theorem for solving nonlinear equations of third-order are presented. The asymptotic error constant is derived and a geometric construction is provided for a theorem to define these families. Some numerical tests are presented in order to demonstrate the good performance of some members of these families.
