Fourth- and fifth-order methods for solving nonlinear systems of equations: An application to the global positioning system

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. © 2013 Manuel F. Abad et al.