An error analysis for the Steffensen method under generalized Zabrejko-Ngyen-type assumptions

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  • Ioannis K. Argyros Cameron University, Lawton, USA
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References

Argyros, I.K., On the solution of equations with nondifferentiable operators and the Ptak errors estimates, BIT, 30, (1990), PP. 752-754.

- , The secant method and fixed points of nonlinear operators, Mh. Math. 106 (1988), pp. 85-94.

Argyros, I. K. and Szidarovszky, F., The theory and applications of iteration methods.C.R.C., Press, Inc., Boca Raton, Florida, U.S.A. (1993).

Kantorovich, L.V. and Akilov, G.P., Functional analysis in Normed Spaces, Oxford Publ. Pergamon Press, New York, (1964).

Păvăloiu I., Sur la méthode de Steffensen pour la résolution des équations operationnelles non linéaires, Revue Roumaine des math. pures et appli. XIII, 1, (1968), pp. 149-158.

Păvăloiu I., Observations concerning some approximation methods for the solution of operator equations, Revue d'analyse Numérique et de théorie de l'approximation, 23, 2 (1994), pp. 185-195.

Ul'm, S., Oboscenie metoda Steffensen dlya rešenia nelineinih operatorîh uravnenii, Jurnal vicisl., mat. i mat.-fiz. 4 (1964), p.6.

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Published

1996-08-01

How to Cite

Argyros, I. K. (1996). An error analysis for the Steffensen method under generalized Zabrejko-Ngyen-type assumptions. Rev. Anal. Numér. Théor. Approx., 25(1), 11–22. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1996-vol25-nos1-2-art2

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