Geodesic
A modification of the conjugate-gradient algorithm for the stable solution of an ill-conditioned problem by the method of least squares
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 8, pp. 1131-1145 
A. M. Vigodner; A. A. Pervozvanskii. A modification of the conjugate-gradient algorithm for the stable solution of an ill-conditioned problem by the method of least squares. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 8, pp. 1131-1145. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_8_a1/
@article{ZVMMF_1991_31_8_a1,
     author = {A. M. Vigodner and A. A. Pervozvanskii},
     title = {A modification of the conjugate-gradient algorithm for the stable solution of an ill-conditioned problem by the method of least squares},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1131--1145},
     year = {1991},
     volume = {31},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_8_a1/}
}
TY  - JOUR
AU  - A. M. Vigodner
AU  - A. A. Pervozvanskii
TI  - A modification of the conjugate-gradient algorithm for the stable solution of an ill-conditioned problem by the method of least squares
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1991
SP  - 1131
EP  - 1145
VL  - 31
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_8_a1/
LA  - ru
ID  - ZVMMF_1991_31_8_a1
ER  - 
%0 Journal Article
%A A. M. Vigodner
%A A. A. Pervozvanskii
%T A modification of the conjugate-gradient algorithm for the stable solution of an ill-conditioned problem by the method of least squares
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1991
%P 1131-1145
%V 31
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_8_a1/
%G ru
%F ZVMMF_1991_31_8_a1

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

[1] Louson Ch., Khenson R., Chislennoe reshenie zadach metoda naimenshikh kvadratov, Nauka, M., 1986 | MR

[2] Gill F., Myurrei U., Rait M., Prakticheskaya optimizatsiya, Mir, M., 1985 | MR

[3] Polak E., Chislennye metody optimizatsii, Mir, M., 1974 | MR | Zbl

[4] Uilkinson Dzh., Algebraicheskaya problema sobstvennykh znachenii, Nauka, M., 1976

[5] Pervozvanskii A. A., Gaitsgori V. G., Dekompozitsiya, agregirovanie i priblizhennaya optimizatsiya, Nauka, M., 1979 | MR

[6] Vigodner A. M., Klassifikatsiya vkhodnykh i otsenka vykhodnykh vozmuschenii pri reshenii zadachi metoda naimenshikh kvadratov, Dep. v VINITI, No 386-V89, 1989

[7] Sluis A., “Stability of the solutions of linear least squares problems”, Numer. Math., 75:23 (1974), 241–254 | DOI | MR