Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations
- Ezquerro, J.A. 2
- 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: 0022-247X
Argitalpen urtea: 2013
Alea: 398
Zenbakia: 1
Orrialdeak: 100-112
Mota: Artikulua
Beste argitalpen batzuk: Journal of Mathematical Analysis and Applications
Lotura duten proiektuak
Laburpena
From well-known secant-like methods, we observe that we can construct a new family of secant-like methods that includes the secant method and Kurchatov's method. We analyse the local orders of convergence and the efficiencies of the methods of the family and study the semilocal convergence for differentiable and nondifferentiable operators. Finally, we apply our results to conservative problems. © 2012 Elsevier Ltd.