Aitken-Steffensen type methods for nondifferentiable functions (I)

Authors

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

DOI:

https://doi.org/10.33993/jnaat311-713

Keywords:

Aitken-Steffensen method, bilateral approximations
Abstract views: 283

Abstract

We study the convergence of the Aitken-Steffensen method for solving a scalar equation \(f(x)=0\). Under reasonable conditions (without assuming the differentiability of \(f\)) we construct some auxilliary functions used in these iterations, which generate bilateral sequences approximating the solution of the considered equation.

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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

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Published

2002-02-01

How to Cite

Păvăloiu, I. (2002). Aitken-Steffensen type methods for nondifferentiable functions (I). Rev. Anal. Numér. Théor. Approx., 31(1), 109–114. https://doi.org/10.33993/jnaat311-713

Issue

Vol. 31 No. 1 (2002)

Section

Articles

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