Convergence and numerical analysis of a family of two-step Steffensen's methods
We provide sufficient conditions for the semilocal convergence of a family of two-step Steffensen's iterative methods on a Banach space. The main advantage of this family is that it does not need to evaluate neither any Frechet derivative nor any bilinear operator, but having a high speed of convergence. Some numerical experiments are also presented. (C) 2005 Elsevier Ltd. All rights reserved.
iterative methods nonlinear equations semilocal convergence.