Numerical Approach for Solving System of Nonlinear Equations by Iterative Methods

Abstract

This paper deals with solving a system of nonlinear equations by three well-known methods. The numerical solution of n nonlinear equations in n variables using the methods of Newton’s, Broyden’s and Brown’s are discussed. Some modifications of Newton’s and Broyden’s methods are added to overcome some difficulties. These three methods are compared both in analytical and numerical prospects. The implementations are compared by a set of problems. Numerical results are obtained by using FORTRAN programming.