Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 228-232
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A. F. Zabolotskaya. Asymptotic behaviour of the $s$-dimensional optimal gradient method in Hilbert space. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 228-232. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a21/
@article{ZVMMF_1979_19_1_a21,
author = {A. F. Zabolotskaya},
title = {Asymptotic behaviour of the $s$-dimensional optimal gradient method in {Hilbert} space},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {228--232},
year = {1979},
volume = {19},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a21/}
}
TY - JOUR
AU - A. F. Zabolotskaya
TI - Asymptotic behaviour of the $s$-dimensional optimal gradient method in Hilbert space
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1979
SP - 228
EP - 232
VL - 19
IS - 1
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a21/
LA - ru
ID - ZVMMF_1979_19_1_a21
ER -
%0 Journal Article
%A A. F. Zabolotskaya
%T Asymptotic behaviour of the $s$-dimensional optimal gradient method in Hilbert space
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1979
%P 228-232
%V 19
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a21/
%G ru
%F ZVMMF_1979_19_1_a21
The asymptotic behaviour of the well-known method of minimizing the functional $H(x)$, namely the $s$-dimensional, $s > 1$, optimal gradient method in Hilbert space $H$, is investigated. It is found that the results of the usual, $s = 1$, optimal gradient method, given in [1], transfer to the $s$-dimensional process.
