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

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Ion Păvăloiu

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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Keywords
Aitken-Steffensen iterations
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