KELUARGA METODE LAGUERRE DAN KELAKUAN DINAMIKNYA DALAM MENENTUKAN AKAR GANDA PERSAMAAN NONLINEAR

Abstract

This article discusses the family of Laguerre method to find multiple roots of non-linear equations with a known multiplicity. Analytically, we show that this iterative method has a convergence of order three. Furthermore, by choosing the value of certain parameter in the Laguerre method, we obtained several well-known iterative
methods. Using some test functions, we compare the family of Laguerre methods to obtain a root of nonlinear equation by looking at the number iterations of the methods. In addition, comparisons are also made through Basins of Attraction.