A note on a modification of Moser's method
We use a recurrence technique to obtain semilocal convergence results for Ulm's iterative method to approximate a solution of a nonlinear equation F (x) = 0fenced((x n + 1 = x n - B n F (x n),, n ≥ 0,; B n + 1 = 2 B n - B n F ′ (x n + 1) B n,, n ≥ 0 .))This method does not contain inverse opera...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2008 |
| 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/5bbc6969b750603269e81aba |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc6969b750603269e81aba |
| Access Level: | acceso abierto |
| Palabra clave: | Iterative processes R-order of convergence Semilocal convergence |
| Sumario: | We use a recurrence technique to obtain semilocal convergence results for Ulm's iterative method to approximate a solution of a nonlinear equation F (x) = 0fenced((x n + 1 = x n - B n F (x n),, n ≥ 0,; B n + 1 = 2 B n - B n F ′ (x n + 1) B n,, n ≥ 0 .))This method does not contain inverse operators in its expression and we prove it converges with the Newton rate. We also use this method to approximate a solution of integral equations of Fredholm-type. © 2007 Elsevier Inc. All rights reserved. |
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