Sari, Dhita Aulifia Besta2024-02-282024-02-282023-11PerpustakaanElfitrahttps://repository.unri.ac.id/handle/123456789/11330This article discusses a three-step iteration method obtained from the third-order Homeier method by adding a Newton step and approximating the derivative in last step of iteration by using linear interpolation. Convergence analysis shows that the resulting method has a convergence order of six with an efficiency index of 1.5651. Computational tests concluded that this method can be used as an alternative method in solving nonlinear equations.ennonlinear equationsNewton methodHomeier methodorder of convergenceefficiency indexArticle