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
Any de publicació: 2013
Volum: 219
Número: 24
Pàgines: 11341-11347
Tipus: Article
Altres publicacions en: Applied Mathematics and Computation
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Resum
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.