@article{ZVMMF_1992_32_4_a0,
author = {A. M. Fedotov},
title = {Minimax regularization for operator equations with random errors in the data},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {499--511},
year = {1992},
volume = {32},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_4_a0/}
}
TY - JOUR AU - A. M. Fedotov TI - Minimax regularization for operator equations with random errors in the data JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1992 SP - 499 EP - 511 VL - 32 IS - 4 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_4_a0/ LA - ru ID - ZVMMF_1992_32_4_a0 ER -
A. M. Fedotov. Minimax regularization for operator equations with random errors in the data. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 4, pp. 499-511. http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_4_a0/
[1] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, 2-e izd., Nauka, M., 1979 | MR
[2] Lavrentev M. M., Romanov V. G., Shishatskii S. P., Nekorrektnye zadachi matematicheskoi fiziki i analiza, Nauka, M., 1980 | MR
[3] Ivanov V. K., Vasin V. V., Tanana V. P., Teoriya lineinykh nekorrektnykh zadach i ee prilozheniya, Nauka, M., 1978 | MR
[4] Tikhonov A. N., Goncharskii A. V., Stepanov V. V., Yagola A. G., Regulyariziruyuschie algoritmy i apriornaya informatsiya, Nauka, M., 1983 | MR
[5] Tikhonov A. N., “O regulyarizatsii nekorrektno postavlennykh zadach”, Dokl. AN SSSR, 153:1 (1963), 49–52 | MR | Zbl
[6] Fedotov A. M., Nekorrektnye zadachi so sluchainymi oshibkami v iskhodnykh dannykh, Nauka, Novosibirsk, 1990
[7] Morozov V. A., Regulyarnye metody resheniya nekorrektno postavlennykh zadach, Izd-vo MGU, M., 1974
[8] Morozov V. A., Metody regulyarizatsii neustoichivykh zadach, Izd-vo MGU, M., 1987 | MR
[9] Liskovets O. A., “Teoriya i metody resheniya nekorrektnykh zadach”, Itogi nauki i tekhn. Matem. analiz, VINITI, M., 1982, 116–178 | MR
[10] Phillips D. L., “A technique for the numerical solution of certain integral equations of the first kind”, J. Assoc. Comput. Machinery, 9:1 (1962), 84–97 | MR | Zbl
[11] Fedotov A. M., Lepshokov S. I., “Minimaksnyi regulyarizuyuschii algoritm dlya resheniya uravneniya tipa svertki”, Dokl. AN CSSR, 306:5 (1989), 1055–1058 | MR | Zbl
[12] Fedotov A. M., “Konstruirovanie optimalnykh reshayuschikh protsedur dlya operatornykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 28:7 (1988), 963–970 | MR
[13] Skorokhod A. V., Integrirovanie v gilbertovom prostranstve, Nauka, M., 1975