On the local convergence of a fifth-order iterative method in Banach spaces
- Cordero, A. 1
- Ezquerro, J.A. 2
- Hernández-Verón, M.A. 2
- Torregrosa, J.R. 1
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1
Universidad Politécnica de Valencia
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2
Universidad de La Rioja
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ISSN: 0096-3003
Ano de publicación: 2015
Volume: 251
Páxinas: 396-403
Tipo: Artigo
Outras publicacións en: Applied Mathematics and Computation
Proxectos relacionados
Resumo
A new predictor-corrector iterative procedure, that combines Newton's method as predictor scheme and a fifth-order iterative method as a corrector, is designed for solving nonlinear equations in Banach spaces. We analyze the local order of convergence and the regions of accessibility of the new method comparing it with Newton's method, both theoretical and numerically.