Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1041-1051
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A. L. Ageev. A regular algorithm for finding the basis of the kernel of a linear operator. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1041-1051. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a1/
@article{ZVMMF_1983_23_5_a1,
author = {A. L. Ageev},
title = {A regular algorithm for finding the basis of the kernel of a linear operator},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1041--1051},
year = {1983},
volume = {23},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a1/}
}
TY - JOUR
AU - A. L. Ageev
TI - A regular algorithm for finding the basis of the kernel of a linear operator
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 1041
EP - 1051
VL - 23
IS - 5
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a1/
LA - ru
ID - ZVMMF_1983_23_5_a1
ER -
%0 Journal Article
%A A. L. Ageev
%T A regular algorithm for finding the basis of the kernel of a linear operator
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 1041-1051
%V 23
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a1/
%G ru
%F ZVMMF_1983_23_5_a1
A regular algorithm is devised for determining approximately the special basis in the kernel of a linear continuous operator, specified with an error. An example is given of realizing the algorithm for a linear Fredholm integral operator, arising when processing the data of X-ray structural analysis. Features of the solution of a linear Fredholm integral equation of the 1st kind, connected with the non-uniqueness of the solution in the context of a special accuracy, are discussed.
