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On Halley-type iterations with free second derivative |
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| Authors: | J A Ezquerro M A Hernndez |
| Institution: | Department of Mathematics and Computation, University of La Rioja, C/Luis de Ulloa s/n, Logroño 26004, Spain |
| 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. |
| Keywords: | Nonlinear equations in Banach spaces The Halley method Semilocal convergence theorem Multipoint iterations |
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