Geodesic
Local convergence of modified Halley-like methods
Novi Sad Journal of Mathematics, Tome 45 (2015) no. 2.

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We present a local convergence analysis of a Modified Halley-Like Method of high convergence order in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative of the operator involved. Earlier studies use hypotheses up to the third Fréchet-derivative [Wang, X., Kou, J., Convergence for modified Halley-like methods with less computation of inversion. J. Diff. Eq. and Appl. 19(9) (2013), 1483-1500.]. Numerical examples are also provided in this study.
Publié le :
DOI : 10.30755/NSJOM.2014.018
Classification : 65D10, 65D99
Keywords: Jarratt-type methods, Banach space, Local Convergence, Fréchet-derivative 
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Ioannis K. Argyros; Santhosh George. Local convergence of  modified Halley-like methods. Novi Sad Journal of Mathematics, Tome 45 (2015) no. 2. doi : 10.30755/NSJOM.2014.018. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.2014.018/

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