KOMBINASI METODE ABABNEH DAN METODE NEWTON DENGAN ORDE KONVERGENSI OPTIMAL UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Abstract

This article discusses an iterative method for solving nonlinear equations, by com- bining Ababneh's iterative method of order four with Newton's iterative method. The method has eight order of convergence with three function evaluations and one rst derivative function evaluation so that based on Traub's conjecture the method is optimal. Numerical comparisons show that this method is comparable to the other eighth methods.