Geodesic
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 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[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