### Sélection entre procédés d'accélération de la convergence

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A new algorithm which generalizes the E-algorithm is presented. It is called the ${E}_{+p}$-algorithm. Some results on convergence acceleration for the ${E}_{+p}$-algorithm are proved. Some applications are given.

Some new results on convergence acceleration for the E-algorithm which is a general extrapolation method are obtained. A technique for avoiding numerical instability is proposed. Some applications are given. Theoretical results are illustrated by numerical experiments

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