On a two-step relaxed Newton-type method
- Amat, S. 12
- Magreñán, Á.A. 12
- Romero, N. 12
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1
Universidad Politécnica de Cartagena
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2
Universidad de La Rioja
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ISSN: 0096-3003
Ano de publicación: 2013
Volume: 219
Número: 24
Páxinas: 11341-11347
Tipo: Artigo
Outras publicacións en: Applied Mathematics and Computation
Proxectos relacionados
Resumo
We propose a new two-step relaxed Newton-type method for the approximation of nonlinear equations in Banach spaces. The method is free of any bilinear operator. Moreover, in each iteration, we only approximate an associated linear system. We analyze its semilocal convergence under ω-conditioned divided differences. Finally, we include several practical advantages of the method. © 2013 Elsevier Inc. All rights reserved.