On the monotonicity of the sequences of approximations obtained by Steffensen’s method

Ion Păvăloiu
(original), divided differences, inverse interpolation, local convergence, nonlinear equations in R, Numerical Analysis, paper, solving F(x)=0 iteratively, Steffenssen methods

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Author

Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis)

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I. Păvăloiu, On the monotonicity of the sequences of approximations obtained by Steffensen’s method, Mathematica, 35(58) (1993) no. 1, pp. 71-76.

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Mathematica – Revue d’analyse numérique et de théorie de l’approximation.
Mathematica

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Editions de l’Academie Roumaine

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References

[1] Balazs, M., A bilateral approximating method for finding the real roots of real equations. Rev. Anal. Numer. Theor. Approx., 21, no. 2, 111–117, (1992).

[2] Pavaloiu, I., Sur la methode de Steffensen pour la resolution des equations operationnelles non lineaires, Revue Roumaine des Mathematiques Pures et Appliquees, XIII, 6, 149–158 (1968).

[3] Pavaloiu, I., Rezolvarea ecuatiilor prin interpolare, Ed. Dacia, Cluj-Napoca (1981).

[4] Ul’m, S., Ob obobschenie metoda Steffensen dlya reshenia nelineinyh operatornyh uravnenii, Jurnal Vicisl, mat. i. mat-fiz. 4, 6, (1964).

1993

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