Analysing the efficiency of some modifications of the secant method
- Ezquerro, J.A. 2
- Grau, A. 1
- Grau-Sánchez, M. 1
- Hernández, M.A. 2
- Noguera, M. 1
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1
Universitat Politècnica de Catalunya
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2
Universidad de La Rioja
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ISSN: 0898-1221
Ano de publicación: 2012
Volume: 64
Número: 6
Páxinas: 2066-2073
Tipo: Artigo
Outras publicacións en: Computers & Mathematics with Applications
Proxectos relacionados
Resumo
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.