Discrete convergence and finite-dimensional approximation of regularizing algorithms
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 11-21

Voir la notice de l'article provenant de la source Math-Net.Ru

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/