@article{ZVMMF_1991_31_2_a3,
author = {V. K. Gorbunov},
title = {Regularization of extremal problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {235--248},
year = {1991},
volume = {31},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_2_a3/}
}
V. K. Gorbunov. Regularization of extremal problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 2, pp. 235-248. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_2_a3/
[1] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, 3-e izd., Nauka, M., 1986 | MR | Zbl
[2] Ivanov V. K., Vasin V. V., Tanana V. P., Teoriya lineinykh nekorrektnykh zadach i ee prilozheniya, Nauka, M., 1978 | MR
[3] Vasilev F. P., Metody resheniya ekstremalnykh zadach, Nauka, M., 1981 | MR
[4] Morozov V. A., Metody regulyarizatsii neustoichivykh zadach, Izd-vo MGU, M., 1987 | MR
[5] Ivanov V. K., “O priblizhennom reshenii operatornykh uravnenii pervogo roda”, Zh. vychisl. matem. i matem. fiz., 6:6 (1966), 1089–1094 | Zbl
[6] Goncharskii A. V., Leonov A. S., Yagola A. G., “Ob odnom regulyarizuyuschem algoritme dlya nekorrektno postavlennykh zadach s priblizhenno zadannym operatorom”, Zh. vychisl. matem. i matem. fiz., 12:6 (1972), 1592–1594
[7] Morozov V. A., “O printsipe optimalnosti nevyazki pri priblizhennom reshenii uravnenii s nelineinymi operatorami”, Zh. vychisl. matem. i matem. fiz., 14:4 (1974), 819–827 | MR | Zbl
[8] Tikhonov A. N., “O priblizhennykh sistemakh lineinykh algebraicheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 20:6 (1980), 1373–1383 | MR | Zbl
[9] Tikhonov A. N., “O priblizhennykh funktsionalnykh uravneniyakh pervogo roda”, Tr. Matem. in-ta AN SSSR, 158, M., 1981, 197–202 | MR | Zbl
[10] Morozov V. A., Tikhonov A. N., Karamzin V. N., “O zadache korrektsii lineinykh neravenstv”, Chisl. analiz: metody, algoritmy, prilozheniya, Izd-vo MGU, M., 1985, 3–13 | MR
[11] Oben Zh.-P., Ekland I., Prikladnoi nelineinyi analiz, Mir, M., 1988 | MR
[12] Luchetti R., Patrone F., “Hadamard and Tychonov well-posedness of a certain class of convex functions”, J. Math. Analys. and Appl., 88:1 (1986), 204–215 | DOI | MR
[13] Karmanov V. G., Matematicheskoe programmirovanie, Nauka, M., 1986 | MR
[14] Gorbunov V. K., Metody reduktsii neustoichivykh vychislitelnykh zadach, Ilim, Frunze, 1984 | MR
[15] Fedorov V. V., Chislennye metody maksimina, Nauka, M., 1979 | MR
[16] Nikaido Kh., Vypuklye struktury i matematicheskaya ekonomika, Mir, M., 1972
[17] Morozov V. A., “Ob ustoichivykh chislennykh metodakh resheniya sistem lineinykh algebraicheskikh uravnenii”, Metody i algoritmy v chisl. analize, Izd-vo MGU, M., 1982, 3–10
[18] Alekseev B. V., Ivanitskii A. Yu., “O postroenii razreshayuschikh sistem”, Chisl. analiz: metody, algoritmy, prilozheniya, Izd-vo MGU, M., 1985, 135–142 | MR
[19] Agayan G. M., “O zadache lineinogo programmirovaniya s poelementnym zadaniem pogreshnostei v iskhodnykh dannykh”, Dokl. AN SSSR, 281:2 (1986), 265–270 | MR
[20] Vatolin A. A., “O zadachakh lineinogo programmirovaniya s intervalnymi koeffitsientami”, Zh. vychisl. matem. i matem. fiz., 24:11 (1984), 1629–1637 | MR | Zbl
[21] Pshenichnyi B. N., Metod linearizatsii, Nauka, M., 1983 | MR
[22] Bakushinskii A. B., Goncharskii A. V., Iterativnye metody resheniya nekorrektnykh zadach, Nauka, M., 1989 | MR
[23] Dantsig Dzh., Lineinoe programmirovanie, ego obobscheniya i primenenie, Progress, M., 1966
[24] Morozov V. A., Ivanitskii A. Yu., “Ustoichivyi metod resheniya odnogo klassa zadach lineinogo programmirovaniya”, Chisl. analiz: metody, algoritmy, programmy, Izd-vo MGU, M., 1988, 2–17
[25] Vasilev F. P., Morozov V. V., Yachimovich M., “Otsenka skorosti skhodimosti metoda regulyarizatsii dlya zadachi lineinogo programmirovaniya”, Zh. vychisl. matem. i matem. fiz., 29:4 (1989), 631–635 | MR
[26] Eremin I. I., Protivorechivye modeli optimalnogo planirovaniya, Nauka, M., 1988 | MR
[27] Ivanitskii A. Yu., “O reshenii sistem lineinykh neravenstv s priblizhennymi dannymi”, Metody i algoritmy chisl. analiza i ikh prilozh., Izd-vo MGU, M., 1989, 42–49
[28] Vasilev F. P., Chislennye metody resheniya ekstremalnykh zadach, 2-e izd., Nauka, M., 1988 | MR
[29] Ioffe A. D., Tikhomirov V. M., Teoriya ekstremalnykh zadach, Nauka, M., 1974 | MR | Zbl