Geodesic
On multipoint iterative processes of efficiency index higher than Newton's method
Argyros, Ioannis K.1 ; Hilout, Saïd2
1 Cameron university, Department of Mathematics Sciences, Lawton, OK 73505, USA.
2 Poitiers university, Laboratoire de Math´ematiques et Applications, Bd. Pierre et Marie Curie, T´el´eport 2, B.P. 30179, 86962 Futuroscope Chasseneuil Cedex, France.
Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 3, p. 195-203.

Voir la notice de l'article provenant de la source International Scientific Research Publications

We provided a convergence analysis of third–order multipoint iterative processes of efficiency index higher than Newton’s. Our convergence analysis is finer than the corresponding one in [8], under the same or weaker hypotheses and computational cost.
DOI : 10.22436/jnsa.002.03.08
Classification : 65H10, 65H05, 47H99, 49M15
Keywords: Banach space, Multipoint iterative procedure, Newton–type method, Majorizing sequences

Argyros, Ioannis K. 1 ; Hilout, Saïd 2

1 Cameron university, Department of Mathematics Sciences, Lawton, OK 73505, USA.
2 Poitiers university, Laboratoire de Math´ematiques et Applications, Bd. Pierre et Marie Curie, T´el´eport 2, B.P. 30179, 86962 Futuroscope Chasseneuil Cedex, France. 
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Argyros, Ioannis K.; Hilout, Saïd. On multipoint iterative processes of efficiency index higher than Newton's method. Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 3, p. 195-203. doi : 10.22436/jnsa.002.03.08. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.002.03.08/

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[8] Ezquerro, J. A.; Hernández, M. A. An optimization of Chebyshev’s method, J. Complexity (in press.)

[9] Kantorovich, L. V.; G. P. Akilov Functional analysis in normed spaces, Pergamon Press, Oxford, 1982

[10] Weerakoon, S.; Fernando, T. G. I. A variant of Newton’s method with accelerated third–order convergence, Appl. Math. Lett., Volume 13 (2000), pp. 87-93

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