Author:
Argyros Ioannis K.,Khattri Sanjay K.
Abstract
We provide a tighter than before convergence analysis for the two-step Newton method of order four using recurrent functions. Numerical examples are also provided in this study.
Publisher
Academia Romana Filiala Cluj
Reference17 articles.
1. S. Amat, S. Busqouier and J.M. Gutierrez, On the local convergence of secant-type methods, Int. J. Comput. Math., 81 (2004), no.9, pp. 1153-1161, https://doi.org/10.1080/00207160412331284123
2. J.Appell, E. De Pascale, N.A. Wvkhuta and P.P. Zabrejko, On the two-stup Newton method for the solution of nonlinear operator equations, Math. Nachr, 172, (1995), pp. 5-14, https://doi.org/10.1002/mana.19951720102
3. I.K. Argyro, On a multistep Newton method in Banach spaces and the Ptak error estimates, Adv. N onlinear Var. Inequal., 6, (2003), no.2, pp. 121-135.
4. I.K. Argyros, A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach spaces, J. Math. Anal. Appl., 298 (2004), no.2, pp. 374-397, https://doi.org/10.1016/j.jmaa.2004.04.008
5. I.K. Argyros, J.Y. Cho and S. Hilout, Numerical emthods for equations and its applications, CRC Press Taylor & Francis Group 2012, New York.