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

Authors

  • Ion Păvăloiu Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania

DOI:

https://doi.org/10.33993/jnaat312-724

Keywords:

Aitken-Steffensen iterations
Abstract views: 228

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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References

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Păvăloiu, I., Aitken-Steffensen-type methods for nonsmooth functions (I), Rev. Anal. Numér. Théor. Approx., 31, no. 1, pp. 111-116, 2002, http://ictp.acad.ro/jnaat/journal/article/view/2002-vol31-no1-art12

Traub, F. J., Iterative Methods for the Solution of Equations, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964.

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Published

2002-08-01

How to Cite

Păvăloiu, I. (2002). Aitken-Steffensen-type methods for nonsmooth functions (II). Rev. Anal. Numér. Théor. Approx., 31(2), 195–198. https://doi.org/10.33993/jnaat312-724

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Articles