Abstract and Applied Analysis
Volume 2013 (2013), Article ID 586708, 10 pages
http://dx.doi.org/10.1155/2013/586708
Research Article

Fourth- and Fifth-Order Methods for Solving Nonlinear Systems of Equations: An Application to the Global Positioning System

Manuel F. Abad, Alicia Cordero, and Juan R. Torregrosa

Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 40022 Valencia, Spain

Received 4 March 2013; Accepted 18 April 2013

Academic Editor: Changsen Yang

Copyright © 2013 Manuel F. Abad et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Two iterative methods of order four and five, respectively, are presented for solving nonlinear systems of equations. Numerical comparisons are made with other existing second- and fourth-order schemes to solve the nonlinear system of equations of the Global Positioning System and some academic nonlinear systems.