METODE HOMEIER-NEWTON DENGAN ORDE KONVERGENSI ENAM UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Abstract

This article discusses a three-step iteration method obtained from the third-order Homeier method by adding a Newton step and approximating the derivative in last step of iteration by using linear interpolation. Convergence analysis shows that the resulting method has a convergence order of six with an efficiency index of 1.5651. Computational tests concluded that this method can be used as an alternative method in solving nonlinear equations.