MODIFIKASI METODE NEWTON DENGAN MEMORI DAN PARAMETER AKSELERASI UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Abstract

This article discusses a modification of the Newton method with memory using the acceleration parameter to solve nonlinear equations. Modification is made by repla- cing the invariant parameter in the modified Newton method without memory with the acceleration parameter. The analysis of convergence shows that the convergene order of the proposed method is of 1 + √2. Furthermore, to see the superiority of the method, computational tests are carried outs using five test functions by varying the initial values.