Analysing the efficiency of some modifications of the secant method
Some modifications of the secant method for solving nonlinear equations are revisited and the local order of convergence is found in a direct symbolic computation. To do this, a development of the inverse of the first order divided differences of a function of several variables in two points is pres...
| 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/5bbc68a0b750603269e80c75 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc68a0b750603269e80c75 |
| Access Level: | acceso abierto |
| Palabra clave: | Computational efficiency index Divided differences Nonlinear equations Order of convergence Secant methods |
| Sumario: | Some modifications of the secant method for solving nonlinear equations are revisited and the local order of convergence is found in a direct symbolic computation. To do this, a development of the inverse of the first order divided differences of a function of several variables in two points is presented. A generalisation of the efficiency index used in the scalar case to several variables is also analysed in order to use the most competitive algorithm. © 2012 Elsevier Ltd. All rights reserved. |
|---|