Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 11-21
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V. V. Vasin. Discrete convergence and finite-dimensional approximation of regularizing algorithms. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 11-21. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a1/
@article{ZVMMF_1979_19_1_a1,
author = {V. V. Vasin},
title = {Discrete convergence and finite-dimensional approximation of regularizing algorithms},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {11--21},
year = {1979},
volume = {19},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a1/}
}
TY - JOUR
AU - V. V. Vasin
TI - Discrete convergence and finite-dimensional approximation of regularizing algorithms
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1979
SP - 11
EP - 21
VL - 19
IS - 1
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a1/
LA - ru
ID - ZVMMF_1979_19_1_a1
ER -
%0 Journal Article
%A V. V. Vasin
%T Discrete convergence and finite-dimensional approximation of regularizing algorithms
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1979
%P 11-21
%V 19
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a1/
%G ru
%F ZVMMF_1979_19_1_a1
For the linear operator equation of the 1st kind $Au=f$, the convergence of the general scheme of finite-dimensional approximation (discretization) of the Tikhonov-regularized family of approximate solutions is examined, along with the application of this scheme to projection and quadrative methods.