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
Datum der Publikation: 2013
Ausgabe: 219
Nummer: 24
Seiten: 11341-11347
Art: Artikel
Andere Publikationen in: Applied Mathematics and Computation
Projekte im Zusammenhang
Zusammenfassung
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.