Author:
Argyros Ioannis K.,Hilout Saïd
Abstract
We provide semilocal result for the convergence of Newton method to a locally unique solution of an equation in a Banach space setting using hypotheses up to the second Fréchet-derivatives and our new idea of recurrent functions. The advantages of such conditions over earlier ones in some cases are: finer bounds on the distances involved, and a better information on the location of the solution.
Publisher
Academia Romana Filiala Cluj
Reference11 articles.
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5. I.K. Argyros and S. Hilout, Aspects of the computational theory for certain iterative methods, Polimetrica Publisher, 2009.