On Halley-type iterations with free second derivative

Authors:
J. A. Ezquerro;M. A. Hernández
Affiliations:
Department of Mathematics and Computation, University of La Rioja, C/Luis de Ulloa s/n, Logroño 26004, Spain;Department of Mathematics and Computation, University of La Rioja, C/Luis de Ulloa s/n, Logroño 26004, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2004

Citing 3
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Analysis of two Chebyshev-like third order methods free from second derivatives for solving systems of nonlinear equations

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Abstract

In this paper, we relax the convergence conditions required in Ezquerro and Hernández (Int. J. Pure Appl. Math. 6(1) (2003) 103) for a multipoint third-order iteration of Halley type, where the conditions provided are the known ones for methods of order three.