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Expanding the Applicability of High-Order Traub-Type Iterative Procedures |
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| Authors: | Sergio Amat Ioannis K Argyros Sonia Busquier Saïd Hilout |
| Institution: | 1. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Cartagena, Spain 2. Department of Mathematical Sciences, Cameron University, Lawton, OK, 73505, USA 3. Laboratoire de Mathématiques et Applications, Poitiers University, Bd. Pierre et Marie Curie, Téléport 2, B.P. 30179, 86962, Futuroscope Chasseneuil Cedex, France |
| Abstract: | We propose a collection of hybrid methods combining Newton’s method with frozen derivatives and a family of high-order iterative schemes. We present semilocal convergence results for this collection on a Banach space setting. Using a more precise majorizing sequence and under the same or weaker convergence conditions than the ones in earlier studies, we expand the applicability of these iterative procedures. |
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