MODIFIKASI METODE NEWTON DENGAN KEKONVERGENAN ORDE EMPAT

Abstract

This article discusses the modification of Newton’s method using a slope-line approximate in a form of quadratic polynomial to solve a nonlinear equation. This iterative method has a convergence of fourth order and for each iteration, it requires three function evaluations, so the efficiency index of the method is 1.587, which is
better than that of the Newton’s method, which is 1.414. Furthermore, the computational tests show that proposed method is superior to the Newton’s method in terms of speed to obtain a root.