The minimum pseudo-inverse matrix method: Theory and numerical implementation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 10, pp. 1427-1443 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. S. Leonov. The minimum pseudo-inverse matrix method: Theory and numerical implementation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 10, pp. 1427-1443. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_10_a0/

[1] Albert A., Regressiya, psevdoinversiya i rekurrentnoe otsenivanie, Nauka, M., 1977 | MR

[2] Tikhonov A. Ya., “Ob ustoichivosti algoritmov dlya resheniya vyrozhdennykh sistem lineinykh algebraicheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 5:4 (1965), 718–722 | Zbl

[3] Morozov V. A., “O psevdoresheniyakh”, Zh. vychisl. matem. i matem. fiz., 9:6 (1969), 1387–1391 | Zbl

[4] Tikhonov A. N., “O priblizhennykh sistemakh lineinykh algebraicheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 20:6 (1980), 1373–1383 | MR | Zbl

[5] Morozov V. A., “Ob ustoichivykh chislennykh metodakh resheniya sovmestnykh sistem lineinykh algebraicheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 24:2 (1984), 179–186 | MR | Zbl

[6] Kochikov I. V., Matvienko A. N., Yagola A. G., “Obobschennyi printsip nevyazki dlya resheniya nesovmestnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 24:7 (1984), 1087–1090 | MR | Zbl

[7] Tikhonov A. N., “O zadachakh s netochno zadannoi informatsiei”, Dokl. AN SSSR, 280:3 (1985), 559–562 | MR | Zbl

[8] Leonov A. S., “Priblizhennoe vychislenie psevdoobratnoi matritsy s pomoschyu obobschennogo printsipa nevyazki”, Zh. vychisl. matem. i matem. fiz., 25:6 (1985), 933–935 | MR | Zbl

[9] Gilyazov S. F., Morozov V. A., “Optimalnaya regulyarizatsiya nekorrektnykh normalno razreshimykh operatornykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 24:11 (1984), 1737–1742 | MR | Zbl

[10] Leonov A. S., “Metod minimalnoi psevdoobratnoi matritsy i reshenie na ego osnove nekorrektnykh zadach lineinoi algebry”, Teoriya i metody resheniya nekorrektno postavlennykh zadach i ikh prilozhenie, Izd-vo NGU, Novosibirsk, 1983, 49–52 | MR

[11] Leonov A. S., “Metod minimalnoi psevdoobratnoi matritsy”, Zh. vychisl. matem. i matem. fiz., 27:8 (1987), 1123–1138 | MR

[12] Voevodin V. V., Kuznetsov Yu. A., Matritsy i vychisleniya, Nauka, M., 1984 | MR | Zbl

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

[14] Vainikko G. M., Veretennikov A. Yu., Iteratsionnye protsedury v nekorrektnykh zadachakh, Nauka, M., 1986 | MR

[15] Wedin P.-Å., “Perturbation theory for pseudo-inverses”, BIT, 13:2 (1973), 217–232 | DOI | MR | Zbl

[16] Vasilev F. P., Chislennye metody resheniya ekstremalnykh zadach, Nauka, M., 1980 | MR

[17] Forsait Dzh., Malkolm M., Mouler K., Mashinnye metody matematicheskikh vychislenii, Mir, M., 1980 | MR

[18] Tanana V. P., Metody resheniya operatornykh uravnenii, Nauka, M., 1981 | MR

[19] Leonov A. S., “K teorii metoda minimalnoi psevdoobratnoi matritsy”, Dokl. AN SSSR, 314:1 (1990), 89–93 | Zbl