Aitken-Steffensen-type methods for nonsmooth functions (II)

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

Print ISSN

1222-9024

Online ISSN

2457-8126

References

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2002

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