KOMBINASI METODE HALLEY DAN POTRA PTAK DENGAN ORDE KONVERGENSI SEMBILAN UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Abstract

This article discusses the combination of the Halley and Potra-Ptak (MHP) methods which are the result of the combination of two iteration methods, namely the Halley and Potra-Ptak methods to solve nonlinear equations. The convergence analysis shows that the MHP has a convergence order of nine. The basin of attraction of the MHP is provided to visually demonstrate the behavior of the method. The computational results of MHP and several other iteration methods which have the same order of convergence show that MHP can be used as an alternative method to solve nonlinear equations.