The application of an inverse-free Jarratt type approximation to nonlinear integral equations of Hammerstein type
We consider an inverse-free Jarratt-type approximation, whose order of convergence is four, for solving nonlinear equations. The convergence of this method is analysed under two different types of conditions. We use a new technique based on constructing a system of real sequences. Finally, this meth...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1998 |
| País: | España |
| Institución: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc697bb750603269e81bf6 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc697bb750603269e81bf6 |
| Access Level: | acceso abierto |
| Palabra clave: | A priori error bounds Convergence theorem Multipoint iterations Nonlinear equations Recurrence relations |
| Sumario: | We consider an inverse-free Jarratt-type approximation, whose order of convergence is four, for solving nonlinear equations. The convergence of this method is analysed under two different types of conditions. We use a new technique based on constructing a system of real sequences. Finally, this method is applied to the study of Hammerstein's integral equations. © 1998 Elsevier Science Ltd. All rights reserved. |
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