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
Any de publicació: 2014
Volum: 9
Número: 2
Pàgines: 201-213
Tipus: Article
Altres publicacions en: Communications in Applied Mathematics and Computational Science
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Resum
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.