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All Journal Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam
Een Susilawati
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Mathematics

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KELUARGA METODE LAGUERRE DAN KELAKUAN DINAMIKNYA DALAM MENENTUKAN AKAR GANDA PERSAMAAN NONLINEAR Een Susilawati; Supriadi Putra; Zulkarnain '
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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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 iterativemethods. 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.
Co-Authors Solly Aryza Zulkarnain '