Geodesic
The method of augmented regularized normal equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 2, pp. 205-208 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A new technique for the minimization of Tikhonov’s parametric smoothing functional for small values of the regularization parameter is proposed. The technique makes it possible to efficiently calculate normal pseudosolutions for large-scale systems of linear algebraic equations. 
@article{ZVMMF_2012_52_2_a1,
     author = {A. I. Zhdanov},
     title = {The method of augmented regularized normal equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {205--208},
     year = {2012},
     volume = {52},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_2_a1/}
}
TY  - JOUR
AU  - A. I. Zhdanov
TI  - The method of augmented regularized normal equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2012
SP  - 205
EP  - 208
VL  - 52
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_2_a1/
LA  - ru
ID  - ZVMMF_2012_52_2_a1
ER  - 
%0 Journal Article
%A A. I. Zhdanov
%T The method of augmented regularized normal equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2012
%P 205-208
%V 52
%N 2
%U http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_2_a1/
%G ru
%F ZVMMF_2012_52_2_a1
A. I. Zhdanov. The method of augmented regularized normal equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 2, pp. 205-208. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_2_a1/

[1] Morozov V.A., “Algoritmicheskie osnovy metodov resheniya nekorrektnykh zadach”, Vychisl. metody i programmirovanie, 45 (2003), 130–141 | MR

[2] Zhdanov A.I., “Ob odnom chislenno ustoichivom algoritme resheniya sistem lineinykh algebraicheskikh uravnenii nepolnogo ranga”, Vestn. Samarskogo gos. tekhn. un-ta. Ser. Fiz.-matem. nauki, 2008, no. 1(6), 149–153

[3] Golub Dzh., Van Loun Ch., Matrichnye vychisleniya, Mir, M., 1999

[4] Albert A., Regressiya, psevdoinversiya i rekurrentnoe otsenivanie, Nauka, M., 1977