Geodesic
A note on the convergence of nonstationary finite-difference analogues
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 204-211 
V. Hristov; A. I. Iliev; N. V. Kyurkchiev. A note on the convergence of nonstationary finite-difference analogues. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 204-211. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

An efficient modification of a finite-difference analogue of Halley's method is proposed. An iterative procedure ensures that the approximations converge to the desired root of the nonlinear equation $f(x)=0$.

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