On Halley-type iterations with free second derivative

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摘要

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.

论文关键词：47H17,65J15,Nonlinear equations in Banach spaces,The Halley method,Semilocal convergence theorem,Multipoint iterations

论文评审过程：Received 23 June 2003, Revised 26 January 2004, Available online 21 April 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2004.02.020