Accelerated convergence in Newton's method for approximating square roots.
In this paper, we construct a modification of Newton's method to accelerate the convergence of this method to the approximation of the positive square root of a positive real number. From this modification, we can define a new iterative process with prefixed order q ∈ ℕ, q ≥ 2. © 2004 Elsevier...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2005 |
| 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/5bbc695fb750603269e81a09 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc695fb750603269e81a09 |
| Access Level: | acceso abierto |
| Palabra clave: | Iterative processes Newton's method Square root |
| Sumario: | In this paper, we construct a modification of Newton's method to accelerate the convergence of this method to the approximation of the positive square root of a positive real number. From this modification, we can define a new iterative process with prefixed order q ∈ ℕ, q ≥ 2. © 2004 Elsevier B.V. All rights reserved. |
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