On the optimal statistical regularization of operator equations with a constraint on the norm of the solution
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 1036-1040
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The construction of the optimal regularizing operator with a constraint on the norm of the solution is considered for the linear incorrect equation $Ax = f$ with an approximately specified positive self-conjugate operator $A$ and right side $f$.
@article{ZVMMF_1979_19_4_a22,
author = {V. A. Romanov and V. N. Mizgailov and V. V. Mukhin},
title = {On~the optimal statistical regularization of~operator equations with a~constraint on~the norm of~the solution},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1036--1040},
publisher = {mathdoc},
volume = {19},
number = {4},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a22/}
}
TY - JOUR AU - V. A. Romanov AU - V. N. Mizgailov AU - V. V. Mukhin TI - On the optimal statistical regularization of operator equations with a constraint on the norm of the solution JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1979 SP - 1036 EP - 1040 VL - 19 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a22/ LA - ru ID - ZVMMF_1979_19_4_a22 ER -
%0 Journal Article %A V. A. Romanov %A V. N. Mizgailov %A V. V. Mukhin %T On the optimal statistical regularization of operator equations with a constraint on the norm of the solution %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1979 %P 1036-1040 %V 19 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a22/ %G ru %F ZVMMF_1979_19_4_a22
V. A. Romanov; V. N. Mizgailov; V. V. Mukhin. On the optimal statistical regularization of operator equations with a constraint on the norm of the solution. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 1036-1040. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a22/