Observations concerning some approximation methods for the solutions of operator equations

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  • Ion Păvăloiu Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy

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References

Argyros, K.I., Concerning the Convergence of Newton's Method, The Renjab University Journal of Mathematics, Vol. XXI (1988), pp.1-11.

Argyros, K.I, The Secant Method and Fixed Points of Nonlinear Operrators, Mh. Math., 106 (1988) pp. 85-94, https://doi.org/10.1007/bf01298829

Denis, J. E., Toward a Unified Convergence Theory for Newtonlike Methods, Nonlinear Functional Analysis and Applications. (Ed. by L. B. Rall). John Wiley, New York (1986).

Lazăr, I., On Newton's Method for Solving Operator Equations with Hölder Continuous Derivative. Revue d'analyse Numérique et de Théorie de l'Approximation. Tome 23. Nr.2 (1993).

Ortega, J. M. and Rheinboldt, W., Iterative Solution of Nonlinear Equations in Several Variables. Academic Press, New York and London, 1970.

Păvăloiu, I., Remarks on the secant method for the solution of nonlinear operational equations. Research Seminars, Seminar on Mathematical analysis. Preprint nr.7 (1991) pp.127-132.

Păvăloiu, I., On the Convergence of a Steffensen-Type Method., Research Seminars. Seminar of Mathematical Analysis. Preprint nr.7 (1991), pp.121-126.

Păvăloiu, I., Introduction in the theory of approximation of equations solutions. Dacia Ed., Cluj-Napoca, (1976) (in Romanian).

Păvăloiu, I., Sur une généralisation de la méthode de Steffensen, Revue d'analyse numérique et de théorie de l'approximation. Tome 21, Nr.1, (1992), pp.59-65.

Schmidt, J. W. Konvergenzgesch windigkert der Regula falsi und der Steffensen Verfahrens in Banachraum. Z.A.M.M. 46, 2, (1996) pp. 146-148, https://doi.org/10.1002/zamm.19660460211

U'lm, S., Ob. obobschennyh razdelennih raznostiakh I., Izv. Acad. Nauk Estonskoi SSR, 16 (1967), 13-36.

U'lm, S., Ob. obobschennyh razdelennih raznostiakh II., Izv. Acad. Nauk Estonskoi SSR, 16 (1967), 146-155.

U'lm, S., Ob. obobschenie metoda Steffensena dlea reshenia nelineingh-operatornih urovnenii. Jurnal vicisl. mat. i mat.-fiz. 4, 6, (1969).

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Published

1994-08-01

How to Cite

Păvăloiu, I. (1994). Observations concerning some approximation methods for the solutions of operator equations. Rev. Anal. Numér. Théor. Approx., 23(2), 185–195. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1994-vol23-no2-art8

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