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.
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.
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