Abstract
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.
Authors
Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)
Keywords
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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.
About this paper
Publisher Name
Universitatea Tehnica din Cluj-Napoca
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Print ISSN
1584-2851
Online ISSN
1843-4401
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References
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[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