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: 270

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., Approximation of the roots of equations by Aitken-Steffensen-type monotonic sequences, Calcolo, 32, no. 1-2, pp. 69-82, 1995, https://doi.org/10.1007/BF02576543 DOI: https://doi.org/10.1007/BF02576543

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

Issue

Vol. 31 No. 2 (2002)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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