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
Argitalpen urtea: 2015
Alea: 251
Orrialdeak: 396-403
Mota: Artikulua
beta Ver similares en nube de resultadosBeste argitalpen batzuk: Applied Mathematics and Computation
Lotura duten proiektuak
Laburpena
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.