## 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

## Keywords

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

## References

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## About this paper

##### 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.

##### Publisher Name

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##### Print ISSN

1222-9024

##### Online ISSN

2457-8126