Matematičeskie zametki, Tome 4 (1968) no. 5, pp. 503-509
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Ya. I. Al'ber. Continuous regularization of linear operator equations in a Hilbert space. Matematičeskie zametki, Tome 4 (1968) no. 5, pp. 503-509. http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a1/
@article{MZM_1968_4_5_a1,
author = {Ya. I. Al'ber},
title = {Continuous regularization of linear operator equations in {a~Hilbert} space},
journal = {Matemati\v{c}eskie zametki},
pages = {503--509},
year = {1968},
volume = {4},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a1/}
}
TY - JOUR
AU - Ya. I. Al'ber
TI - Continuous regularization of linear operator equations in a Hilbert space
JO - Matematičeskie zametki
PY - 1968
SP - 503
EP - 509
VL - 4
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a1/
LA - ru
ID - MZM_1968_4_5_a1
ER -
%0 Journal Article
%A Ya. I. Al'ber
%T Continuous regularization of linear operator equations in a Hilbert space
%J Matematičeskie zametki
%D 1968
%P 503-509
%V 4
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a1/
%G ru
%F MZM_1968_4_5_a1
For the linear operator equation $Au=f$ we offer a continuous regularization based on the stabilization of solutions of differential equations in a Hilbert space $H$. We assume that $A$ is a positive operator and that the equation $Au=f$ has a solution in $H$.
