Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 1036-1040
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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/
@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},
year = {1979},
volume = {19},
number = {4},
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
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
%U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a22/
%G ru
%F ZVMMF_1979_19_4_a22
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 $f$.