On the stability of one method for generalized inversion of matrix relative to rounding-off errors
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 12, pp. 1416-1423
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In this work, the author describes a method for generalized inversion of singular matrix and studies the influence of rounding-off errors on this method.
@article{ZVMMF_1997_37_12_a1,
author = {A. Reznikova (Mints)},
title = {On the stability of one method for generalized inversion of matrix relative to rounding-off errors},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1416--1423},
year = {1997},
volume = {37},
number = {12},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_12_a1/}
}
TY - JOUR AU - A. Reznikova (Mints) TI - On the stability of one method for generalized inversion of matrix relative to rounding-off errors JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1997 SP - 1416 EP - 1423 VL - 37 IS - 12 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_12_a1/ LA - en ID - ZVMMF_1997_37_12_a1 ER -
%0 Journal Article %A A. Reznikova (Mints) %T On the stability of one method for generalized inversion of matrix relative to rounding-off errors %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1997 %P 1416-1423 %V 37 %N 12 %U http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_12_a1/ %G en %F ZVMMF_1997_37_12_a1
A. Reznikova (Mints). On the stability of one method for generalized inversion of matrix relative to rounding-off errors. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 12, pp. 1416-1423. http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_12_a1/
[1] Mints A., “The error of the operator interactions method in case of well-posed problem”, Conf. “Theor. and Appl. Questions Math. II” (Tartu, 1986), 95–97, (in Russian, Engl. summary)
[2] Mints A., “On some results concerning method of operator iterations”, Uch. Zap. Tartuskogo Univ., 762 (1987), 40–46 (in Russian) | MR | Zbl
[3] Mints A., “On the criterion for stopping the operator iterations method”, Izvestia Akad. Nauk Est. SSR, 38 (1989), 268–276 | MR | Zbl
[4] Vainikko G. M., Veretennikov A. Y., Iteration procedures in ill-posed problems, Nauka, Moscow, 1986 (in Russian) | MR
[5] Mikhlin S., Some questions of the error theory, Leningrad, 1988 (Russian) | MR