Bounds on the transformed errors of solutions to SLAEs with ill-conditioned matrices
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 12, pp. 1979-1985
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Bounds on the norms of transformed relative errors of solutions to simultaneous linear algebraic equations (SLAEs) taking into account the influence of errors in the specification of the lefthand side matrix and the right-hand side vector for various types of regularization are obtained. These bounds are valid in a wide range of values of the initial data.
@article{ZVMMF_2015_55_12_a0,
author = {V. V. Godlevskii and V. S. Godlevskii},
title = {Bounds on the transformed errors of solutions to {SLAEs} with ill-conditioned matrices},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1979--1985},
publisher = {mathdoc},
volume = {55},
number = {12},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_12_a0/}
}
TY - JOUR AU - V. V. Godlevskii AU - V. S. Godlevskii TI - Bounds on the transformed errors of solutions to SLAEs with ill-conditioned matrices JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2015 SP - 1979 EP - 1985 VL - 55 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_12_a0/ LA - ru ID - ZVMMF_2015_55_12_a0 ER -
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V. V. Godlevskii; V. S. Godlevskii. Bounds on the transformed errors of solutions to SLAEs with ill-conditioned matrices. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 12, pp. 1979-1985. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_12_a0/