Showing papers by "Alicia Cordero published in 2009"
TL;DR: The Adomian decomposition is used in order to obtain a family of methods to solve systems of nonlinear equations and the order of convergence is proved to be p>=2, under the same conditions as the classical Newton method.
83 citations
TL;DR: In this article, a family of multi-point iterative methods for solving systems of nonlinear equations is described, and convergence order is proved to be 2d + 1, where d is the order of the partial derivatives required to be zero in the solution.
Abstract: A family of multi-point iterative methods for solving systems of nonlinear equations is described. Some classical methods are included in the mentioned family. Under certain conditions, convergence order is proved to be 2d + 1, where d is the order of the partial derivatives required to be zero in the solution. Moreover, different numerical tests confirm the theoretical results and allow us to compare these variants with Newton’s method.
3 citations