On optimal methods of solution to linear equations of the first kind with an approximately specified operator
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 2, pp. 205-208.

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V. P. Tanana; Ya. M. Sevast'yanov. On optimal methods of solution to linear equations of the first kind with an approximately specified operator. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 2, pp. 205-208. http://geodesic.mathdoc.fr/item/SJVM_2003_6_2_a9/

[1] Strakhov V. N., “O reshenii lineinykh nekorrektnykh zadach v gilbertovom prostranstve”, Differents. uravn., 6:8 (1970), 1490–1495 | Zbl

[2] Melkman A., Micchelli C., “Optimal estimation on linear operators in Hilbert spaces from inaccurate data”, SIAM J. Numer. Anal., 16:1 (1979), 87–105 | DOI | MR | Zbl

[3] Ageev A. L., “K voprosu o postroenii optimalnogo metoda resheniya lineinogo uravneniya 1 roda”, Izv. vuzov. Matematika, 1983, no. 3, 67–68 | MR

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

[5] Lavrentev M. M., O nekotorykh nekorrektnykh zadachakh matematicheskoi fiziki, Izd-vo SO AN SSSR, Novosibirsk, 1962 | MR