Hueso Pagoaga, José LuísMartínez Molada, Eulalia2018-03-262018-03-2620141017-1398https://riunet.upv.es/handle/10251/99723[EN] In this work, we prove a third and fourth convergence order result for a family of iterative methods for solving nonlinear systems in Banach spaces. We analyze the semilocal convergence by using recurrence relations, giving the existence and uniqueness theorem that establishes the R-order of the method and the priori error bounds. Finally, we apply the methods to two examples in order to illustrate the presented theory.Reserva de todos los derechosNonlinear systemsIterative methodBanach spaceRecurrence relationsSemilocal convergenceR-orderMATEMATICA APLICADAArtículo10.1007/s11075-013-9795-7Abierto