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.

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Keywords

nonlinear equations in R; Aitken-Steffensen method; monotone iterations; bilateral approximations.

References

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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.

Print ISSN

1222-9024

Online ISSN

2457-8126

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