Geodesic
Regularization of singular systems of linear algebraic equations by shifts
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 12, pp. 1971-1978 Cet article a éte moissonné depuis la source Math-Net.Ru

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Regularization of singular systems of linear algebraic equations by shifts is examined. New equivalent conditions for the shift regularizability of such systems are derived. 
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V. A. Morozov; È. M. Muhamadiev; A. B. Nazimov. Regularization of singular systems of linear algebraic equations by shifts. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 12, pp. 1971-1978. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_12_a0/

[1] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1979 | MR

[2] Morozov V. A., Regulyarnye metody resheniya nekorrektno postavlennykh zadach, Izd-vo MGU, M., 1974

[3] Bakushinskii A. B., Izbrannye voprosy priblizhennogo resheniya nekorrektnykh zadach, Izd-vo MGU, M., 1968

[4] Trenogin V. A., Sidorov H. A., “O regulyarizatsii po Tikhonovu zadachi o tochkakh bifurkatsii nelineinykh operatorov”, Sibirskii matem. zhurnal, 17:2 (1976), 402–413 | MR | Zbl

[5] Lifanov I. K., “O nekorrektnosti i regulyarizatsii chislennogo resheniya singulyarnykh integralnykh uravnenii”, Dokl. AN SSSR, 255:5 (1980), 1046–1050 | MR | Zbl

[6] Gantmakher F. R., Teoriya matrits, Nauka, M., 1966 | MR

[7] Morozov V. A., Nazimov A. B., “K probleme regulyarizatsii sistem lineinykh algebraicheskikh uravnenii”, Dokl. AN SSSR, 286:3 (1986), 286–289

[8] Morozov V. A., Nazimov A. B., “O neobkhodimykh i dostatochnykh usloviyakh regulyarizuemosti vyrozhdennykh sistem lineinykh algebraicheskikh uravnenii metodom sdviga”, Zh. vychisl. matem. i matem. fiz., 26:9 (1986), 1283–1290 | MR

[9] Demidovich B. P., Maron I. A., Osnovy vychislitelnoi matematiki, Lan, SPb., M., Krasnodar, 2006

[10] Bakushinskii A. B., Goncharskii A. B., Iteratsionnye metody resheniya nekorrektnykh zadach, Nauka, M., 1989 | MR