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.