METODE BERTIPE NEWTON DENGAN ORDE KONVERGENSI (k+2) UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR BERTIPE f (0)=0

Abstract

This article discusses Newton-type methods with (k + 2) order of convergence for solving a nonlinear equation of type f(0) = 0, where k is the number of terms in the generating series. The Newton-type methods require two function evaluations per iteration. From some computational tests carried out it can be concluded that the Newton-type method has a high order of convergence and a high index of efficiency.