Discrete convergence and finite-dimensional approximation of regularizing algorithms
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 11-21
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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.
@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},
publisher = {mathdoc},
volume = {19},
number = {1},
year = {1979},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a1/ %G ru %F ZVMMF_1979_19_1_a1
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/