On convergence of finite dimensional approximations of $L$-regularized solutions
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 4, pp. 395-403.

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Necessary and sufficient conditions for convergence of finite dimensional approximations of $L$-regularized solutions are obtained.
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V. P. Tanana; A. A. Shtarkman. On convergence of finite dimensional approximations of $L$-regularized solutions. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 4, pp. 395-403. http://geodesic.mathdoc.fr/item/SJVM_2000_3_4_a9/

[1] Tikhonov A. N., “O regulyarizatsii nekorrektno postavlennykh zadach”, Dokl. AN SSSR, 153:1 (1963), 49–52 | MR | Zbl

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

[3] Menikhes L. D., Tanana V. P., “A convergense for approximation in the regularization method and the Tikhonov regularization method of $n$-th order”, J. Inv. Ill-Posed Problems, 6:3 (1998), 241–262 | MR

[4] Vasin V. V., Ageev A. L., Nekorrektnye zadachi s apriornoi informatsiei, Nauka, Ekaterinburg, 1993 | MR

[5] Kato T., Perturbation theory for linear operators, Springer-Verlag, New-York, 1966 | MR