Aitken-Steffensen type methods for nonsmooth functions (III)

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Ion Păvăloiu

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.

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Keywords
Aitken--Steffensen iterations
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