Addition to the Aitken method for the extrapolation of the limit of slowly convergent sequences
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 2, pp. 193-201
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The class of sequences and series in which the Aitken process accelerates the convergence is considerably extended. It is proved that a proper subsequence of a slowly convergent sequence satisfies the sufficient condition for accelerating the convergence of the Aitken transformation. Two numerical examples illustrate the highly accurate limit extrapolation.
@article{ZVMMF_2016_56_2_a1,
author = {V. N. Bakulin and V. V. Inflianskas},
title = {Addition to the {Aitken} method for the extrapolation of the limit of slowly convergent sequences},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {193--201},
publisher = {mathdoc},
volume = {56},
number = {2},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_2_a1/}
}
TY - JOUR AU - V. N. Bakulin AU - V. V. Inflianskas TI - Addition to the Aitken method for the extrapolation of the limit of slowly convergent sequences JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 193 EP - 201 VL - 56 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_2_a1/ LA - ru ID - ZVMMF_2016_56_2_a1 ER -
%0 Journal Article %A V. N. Bakulin %A V. V. Inflianskas %T Addition to the Aitken method for the extrapolation of the limit of slowly convergent sequences %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2016 %P 193-201 %V 56 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_2_a1/ %G ru %F ZVMMF_2016_56_2_a1
V. N. Bakulin; V. V. Inflianskas. Addition to the Aitken method for the extrapolation of the limit of slowly convergent sequences. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 2, pp. 193-201. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_2_a1/