On Halley-type iterations with free second derivative

Author:

Ezquerro J.A.,Hernández M.A.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference6 articles.

1. Remarks on the convergence of Newton's method under Hölder continuity conditions;Argyros;Tamkang J. Math.,1992

2. A note on the Halley method in Banach spaces;Argyros;Appl. Math. Comp.,1993

3. J.A. Ezquerro, J.M. Gutiérrez, M.A. Hernández, M.A. Salanova, in: L. Español, J.L. Varona, (Eds.), Halley's Method: Perhaps the Most Rediscovered Method in the World. Margarita mathematica, University of La Rioja, Logroño, 2001, pp. 205–220 (in Spanish).

4. A uniparametric Halley-type iteration with free second derivative;Ezquerro;Int. J. Pure Appl. Math.,2003

5. A modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method;Hernández;J. Comput. Appl. Math.,2000

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