Necessary conditions for the convergence of iterative methods for solving irregular nonlinear operator equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 7, pp. 986-996 Cet article a éte moissonné depuis la source Math-Net.Ru

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     title = {Necessary conditions for the convergence of iterative methods for solving irregular nonlinear operator equations},
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A. B. Bakushinskii; M. Yu. Kokurin; N. A. Yusupova. Necessary conditions for the convergence of iterative methods for solving irregular nonlinear operator equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 7, pp. 986-996. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_7_a3/

[1] Bakushinskii A. B., “Iteratsionnye metody bez nasyscheniya dlya resheniya vyrozhdennykh nelineinykh operatornykh uravnenii”, Dokl. RAN, 344:1 (1995), 7–8 | MR

[2] Bakushinskii A. B., “Iterativnye metody dlya resheniya nelineinykh operatornykh uravnenii bez svoistva regulyarnosti”, Fundamentalnaya i prikl. matem., 3:3 (1997), 685–692 | MR

[3] Bakushinskii A. B., “O skorosti skhodimosti iteratsionnykh protsessov dlya nelineinykh operatornykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 38:4 (1998), 559–563 | MR | Zbl

[4] Riss F., Sekefalvi-Nad B., Lektsii po funktsionalnomu analizu, Mir, M., 1979 | MR

[5] Bakushinskii A. B., Goncharskii A. V., Iterativnye metody resheniya nekorrektnykh zadach, Nauka, M., 1989 | MR

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

[7] Krasnoselskii M. A., Zabreiko P. P., Pustylnik E. I., Sobolevskii P. E., Integralnye operatory v prostranstvakh summiruemykh funktsii, Nauka, M., 1966 | MR

[8] Neubauer A., “Tikhonov regularization for nonlinear ill-posed problems: optimal convergence rates and finite-dimensional approximation”, Inverse Problems, 5 (1989), 541–557 | DOI | MR | Zbl

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

[10] Engl H. W., Hanke M., Neubauer A., Regularization of inverse problems, Kluwer, Dordrecht, 1996 | MR | Zbl

[11] Kokurin M. Yu., Operatornaya regulyarizatsiya i issledovanie nelineinykh monotonnykh zadach, MarGU, Ioshkar-Ola, 1998