Solving non-differentiable equations by a new one-point iterative method with memory
We construct a new iterative method for approximating the solutions of nonlinear operator equations, where the operator involved is not differentiable. The algorithm proposed does not need to evaluate derivatives and is more efficient than the secant method. For this, we extend a result of Traub for...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| 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/5bbc684fb750603269e80678 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc684fb750603269e80678 |
| Access Level: | acceso abierto |
| Palabra clave: | Computational efficiency Iterative method Non-differentiable operator Nonlinear equation Order of convergence The secant method |
| Sumario: | We construct a new iterative method for approximating the solutions of nonlinear operator equations, where the operator involved is not differentiable. The algorithm proposed does not need to evaluate derivatives and is more efficient than the secant method. For this, we extend a result of Traub for one-point iterative methods to one-point iterative methods with memory. © 2011 Elsevier Inc. All rights reserved. |
|---|