VARIAN BARU METODE NEWTON-SIMPSON 3/8 UNTUK MENYELESAIKAN SISTEM PERSAMAAN NONLINIER

Abstract

This article discusses a new variant of Newton-Simpson’s 3/8 method for solving nonlinear equation systems. Through convergence analysis it is shown that this Newton-Simpson’s 3/8 method has a three-order convergence. Computational tests are carried out for several examples of nonlinear equation systems with variations initial values. The results show that the iterations obtained by Newton-Simpson’s 3/8 method are less than those of the comparison methods. Therefore, The Newton- Simpson’s 3/8 method can be used as an alternative to solve nonlinear systems of equations.