A new class of secant-like methods for solving nonlinear systems of equations
- Ezquerro, J.A. 2
- Grau, A. 1
- Grau-Sánchez, M. 1
- Hernández-Verón, M.A. 2
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1
Universitat Politècnica de Catalunya
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2
Universidad de La Rioja
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ISSN: 1559-3940
Année de publication: 2014
Volumen: 9
Número: 2
Pages: 201-213
Type: Article
beta Ver similares en nube de resultadosD'autres publications dans: Communications in Applied Mathematics and Computational Science
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Résumé
Applying twice an idea of Hernandez and Rubio (2002) for constructing a one-parameter family of secant-like methods, we define a two-parameter family of secant-like methods for solving nonlinear systems of equations. We analyze the efficiency of this new family and conclude that the Kurchatov method, which is one member of the family, is the most efficient. We illustrate this with Troesch's problem.