# Aitken-Steffensen-type methods for nonsmooth functions (III)

## Abstract

We provide sufficient conditions for the convergence of the Steffensen method for solving the scalar equation $$f(x)=0$$, without assuming differentiability of $$f$$ at other points than the solution $$x^\ast$$. We analyze the cases when the Steffensen method generates two sequences which approximate bilaterally the solution.

## 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 (III), Rev. Anal. Numér. Théor. Approx., 32 (2003) no. 1, pp. 73-77.

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