Geodesic
Some convergence acceleration processes for a class of vector sequences
Applicationes Mathematicae, Tome 24 (1997) no. 3, pp. 299-306 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am-24-3-299-306
Keywords: convergence acceleration, vector extrapolation methods

G. Sedogbo 1

1 
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G. Sedogbo. Some convergence acceleration processes for a class of vector sequences. Applicationes Mathematicae, Tome 24 (1997) no. 3, pp. 299-306. doi: 10.4064/am-24-3-299-306

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