Abstract
We present some new conditions which assure that the Aitken-Steffensen method yields bilateral approximation for the solution of a nonlinear scalar equation. The auxiliary functions appearing in the method are constructed under the hypothesis that the nonlinear application is not differentiable on an interval containing the solution.
Author
Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis)
Keywords
nonlinear equations in R; Aitken-Steffensen method; monotone iterations; bilateral approximations.
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Cite this paper as:
I. Păvăloiu, Aitken-Steffensen-type methods for nonsmooth functions (II), Rev. Anal. Numér. Théor. Approx., 31 (2002) no. 2, pp. 191-196. https://doi.org/10.33993/jnaat312-724
About this paper
Publisher Name
Print ISSN
1222-9024
Online ISSN
2457-8126
References
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