Some convergence acceleration processes for a class of vector sequences
Applicationes Mathematicae (1997)
- Volume: 24, Issue: 3, page 299-306
- ISSN: 1233-7234
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topSedogbo, G.. "Some convergence acceleration processes for a class of vector sequences." Applicationes Mathematicae 24.3 (1997): 299-306. <http://eudml.org/doc/219171>.
@article{Sedogbo1997,
abstract = {Let $(S_n)$ be some vector sequence, converging to S, satisfying $S_n - S \sim ϱ ^n n^\{θ\}(β_0 + β_1 n^\{-1\} + β_2 n^\{-2\} + ...), 0 |ϱ|1 , θ 0$, 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.},
author = {Sedogbo, G.},
journal = {Applicationes Mathematicae},
keywords = {convergence acceleration; vector extrapolation methods; vector sequences; iterative methods; Aitken's method; numerical examples; Newton's method; vector epsilon method},
language = {eng},
number = {3},
pages = {299-306},
title = {Some convergence acceleration processes for a class of vector sequences},
url = {http://eudml.org/doc/219171},
volume = {24},
year = {1997},
}
TY - JOUR
AU - Sedogbo, G.
TI - Some convergence acceleration processes for a class of vector sequences
JO - Applicationes Mathematicae
PY - 1997
VL - 24
IS - 3
SP - 299
EP - 306
AB - Let $(S_n)$ be some vector sequence, converging to S, satisfying $S_n - S \sim ϱ ^n n^{θ}(β_0 + β_1 n^{-1} + β_2 n^{-2} + ...), 0 |ϱ|1 , θ 0$, 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.
LA - eng
KW - convergence acceleration; vector extrapolation methods; vector sequences; iterative methods; Aitken's method; numerical examples; Newton's method; vector epsilon method
UR - http://eudml.org/doc/219171
ER -
References
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