Posts by Ion Păvăloiu


The aim of this paper is to obtain a unified treatment of some iterative methods. We obtain some conditions for which a given equation admits a unique solution in a certain ball. The main obtained result refers to the convergence of the modified chord method.


Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)




Cite this paper as:

I. Păvăloiu, A unified treatment of the modified Newton and chord methods, Carpathian J. Math. 25 (2009) no. 2, pp. 192-196.

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Universitatea Tehnica din Cluj-Napoca

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[1] Berinde, V., Iterative Approximation of Fixed Point, Lecture Notes in Mathematics, Springer, 2007
[2] Krasnoselskij, M. A., Vainikko, G. M., Zabreiko, P. P., Rutitki, Ia. B. and Otetenko, BIA, Priblijenie resenie operatornıh uravnenii, Iydatelstva Nauka, Glavnaia Redactia Fizico-Mathematicescoi Literaturı, Moskva, 1969
[3] Pavaloiu, I., La resolution des equations par interpolation, Mathematica 23 (46) (1981), No. 1, 61-72
[4] Rus, A. I., Petrusel, A. and Petrusel, Gabriela, Fixed Point Theory. Cluj University Press, 2008

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