BEBERAPA METODE ITERASI ORDE TIGA DAN ORDE EMPAT UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Abstract

This article discusses the iterative method by combining two Newton’s methods where the second step of Newton’s method is given a weighted function. By pro- viding specific requirements for this weighting function, it is shown using Taylor expansion and geometric series that the iterative method have third and fourth or- der of convergence. By choosing specific weighting functions, some known iterative methods are found. Then some numerical simulations are performed to compare the number of iterations of each discussed method