Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 822-829
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V. N. Trushnikov. A non-linear regularizing algorithm and some of its applications. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 822-829. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a2/
@article{ZVMMF_1979_19_4_a2,
author = {V. N. Trushnikov},
title = {A~non-linear regularizing algorithm and some of its applications},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {822--829},
year = {1979},
volume = {19},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a2/}
}
TY - JOUR
AU - V. N. Trushnikov
TI - A non-linear regularizing algorithm and some of its applications
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1979
SP - 822
EP - 829
VL - 19
IS - 4
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a2/
LA - ru
ID - ZVMMF_1979_19_4_a2
ER -
%0 Journal Article
%A V. N. Trushnikov
%T A non-linear regularizing algorithm and some of its applications
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1979
%P 822-829
%V 19
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a2/
%G ru
%F ZVMMF_1979_19_4_a2
A non-linear iterative process is described for solving equations of the 1st kind in Hilbert space; the process is stable with respect to disturbances of the operator and right-hand side of the equation. A modification of the process is shown to be a Tikhonov regularizing algorithm.
