Geodesic
Optimal matrix correction and regularization of incompatible linear models
Diskretnyj analiz i issledovanie operacij, Tome 9 (2002) no. 2, pp. 41-77.

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V. I. Erokhin. Optimal matrix correction and regularization of incompatible linear models. Diskretnyj analiz i issledovanie operacij, Tome 9 (2002) no. 2, pp. 41-77. http://geodesic.mathdoc.fr/item/DA_2002_9_2_a3/

[1] Vatolin A. A., “Ob approksimatsii nesovmestnykh sistem lineinykh uravnenii i neravenstv”, Metody approksimatsii nesobstvennykh zadach matematicheskogo programmirovaniya, UNTs RAN, Sverdlovsk, 1984, 39–54 | MR

[2] Vatolin A. A., “O korrektsii rasshirennoi matritsy nesovmestnoi sistemy lineinykh neravenstv i uravnenii”, Kombinatornye, algebraicheskie i veroyatnostnye metody diskretnogo analiza, Gorkii, 1989, 40–54 | MR

[3] Vatolin A. A., Nesobstvennye zadachi matematicheskogo programmirovaniya i metody ikh korrektsii, Dis. $\dots$ d-ra fiz.-mat. nauk, Ekaterinburg, 1992

[4] Gorelik V. A., “Matrichnaya korrektsiya zadachi lineinogo programmirovaniya s nesovmestnoi sistemoi ogranichenii”, Zhurn. vychisl. matematiki i mat. fiziki, 41:11 (2001), 1697–1705 | MR | Zbl

[5] Gorelik V. A., Erokhin V. I., Muraveva O. V., “Nekotorye zadachi approksimatsii matrits koeffitsientov nesovmestnykh sistem lineinykh uravnenii i nesobstvennykh zadach lineinogo programmirovaniya”, Modelirovanie, dekompozitsiya i optimizatsiya slozhnykh dinamicheskikh protsessov, VTs RAN, M., 2001, 57–88 | MR

[6] Gorelik V. A., Ibatullin R. R., “Korrektsiya sistemy ogranichenii zadachi lineinogo programmirovaniya s minimaksnym kriteriem”, Modelirovanie, dekompozitsiya i optimizatsiya slozhnykh dinamicheskikh protsessov, VTs RAN, M., 2001, 89–107 | MR

[7] Demyanov V. F., Malozemov V. N., Vvedenie v minimaks, Nauka, M., 1972 | MR

[8] Eremin I. I., Mazurov V. D., Astafev N. N., Nesobstvennye zadachi lineinogo i vypuklogo programmirovaniya, Nauka, M., 1983 | MR

[9] Erokhin V. I., “Svoistva optimalnoi odnorangovoi korrektsii matrits koeffitsientov nesovmestnykh neodnorodnykh lineinykh modelei”, Diskret. analiz i issled. operatsii. Ser. 2, 9:1 (2002), 33–60 | MR

[10] Ikramov X. D., Zadachnik po lineinoi algebre, Nauka, M., 1975 | MR

[11] Mazurov Vl. D., Metod komitetov v zadachakh optimizatsii i klassifikatsii, Nauka, M., 1990 | MR

[12] Tikhonov A. N., “O normalnykh resheniyakh priblizhennykh sistem lineinykh algebraicheskikh uravnenii”, Dokl. AN SSSR, 254:3 (1980), 549–554 | MR | Zbl

[13] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1986 | MR | Zbl

[14] Khorn R., Dzhonson Ch., Matrichnyi analiz, Mir, M., 1989 | MR