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

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.

Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis)

nonlinear equations in R; Aitken-Steffensen method.

PDF-LaTeX file on the journal website.

I. Păvăloiu, Aitken-Steffensen-type methods for nonsmooth functions (I), Rev. Anal. Numér. Théor. Approx., 31 (2002) no. 1, pp. 109-114. https://doi.org/10.33993/jnaat311-713

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