On an Aitken type method

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Ion Păvăloiu Emil Cătinaş

Abstract

In this note we study the convergence of a generalized Aitken type method for approximating the solutions of nonlinear equations in \({\mathbb R}\). We obtain conditions which assure monotone convergence of the generated sequences. We also obtain a posteriori estimations for the errors.

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Keywords
nonlinear equations; Aitken method
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