Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 3, pp. 937-945
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A. Yu. Ivanitskii; V. A. Morozov; V. N. Karmazin. Point-wise discrepancy method for solution of inconsistency systems of equations and inequalities with approximate data. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 3, pp. 937-945. http://geodesic.mathdoc.fr/item/FPM_1998_4_3_a6/
@article{FPM_1998_4_3_a6,
author = {A. Yu. Ivanitskii and V. A. Morozov and V. N. Karmazin},
title = {Point-wise discrepancy method for solution of inconsistency systems of equations and inequalities with approximate data},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {937--945},
year = {1998},
volume = {4},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_3_a6/}
}
TY - JOUR
AU - A. Yu. Ivanitskii
AU - V. A. Morozov
AU - V. N. Karmazin
TI - Point-wise discrepancy method for solution of inconsistency systems of equations and inequalities with approximate data
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 937
EP - 945
VL - 4
IS - 3
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_3_a6/
LA - ru
ID - FPM_1998_4_3_a6
ER -
%0 Journal Article
%A A. Yu. Ivanitskii
%A V. A. Morozov
%A V. N. Karmazin
%T Point-wise discrepancy method for solution of inconsistency systems of equations and inequalities with approximate data
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 937-945
%V 4
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_3_a6/
%G ru
%F FPM_1998_4_3_a6
Basing on ideas, proposed in [1], this paper considers the variant of point-wise discrepancy, which allows to compute the pseudosolution and incompability measure of systems of linear equations and inequalities in a stable way. It is shown, that approximation of pseudosolution for systems of linear equations and inequalities by approximate pseudosolutions, obtained by point-wise discrepancy method, gives the same order of accuracy as the error in the input data.
