Some convergence acceleration processes for a class of vector sequences

• Autorzy: G. A. Sedogbo
• Języki publikacji: EN

Abstrakty

EN

Let $(S_n)$ be some vector sequence, converging to S, satisfying $S_n - S \sim ϱ ^n n^{θ}(β_0 + β_1 n^{-1} + β_2 n^{-2} + ...), 0 \lt |ϱ|\lt 1 , θ \lt 0$, where $β_0(\ne 0), β_1,...$ are constant vectors independent of n. The purpose of this paper is to provide acceleration methods for these vector sequences. Comparisons are made with some known algorithms. Numerical examples are also given.

Słowa kluczowe

EN

convergence acceleration; vector extrapolation methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1996-1997
• Tom: 24
• Numer: 3
• Strony: 299-306

Daty

wydano

1997

otrzymano

1996-03-01

Twórcy

autor

G. A. Sedogbo

• Laboratoire d'Analyse Numérique et D'optimisation, Université des Sciences et Technologies de Lille, 59655 Villeneuve d'Ascq Cedex, France

Bibliografia

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