Mots-clés : matrix correction.
@article{TIMM_2013_19_2_a13,
author = {V. I. Erokhin and A. S. Krasnikov and M. N. Hvostov},
title = {On sufficient conditions for the solvability of linear programming for matrix correction of the system of constraints},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {144--156},
year = {2013},
volume = {19},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_2_a13/}
}
TY - JOUR AU - V. I. Erokhin AU - A. S. Krasnikov AU - M. N. Hvostov TI - On sufficient conditions for the solvability of linear programming for matrix correction of the system of constraints JO - Trudy Instituta matematiki i mehaniki PY - 2013 SP - 144 EP - 156 VL - 19 IS - 2 UR - http://geodesic.mathdoc.fr/item/TIMM_2013_19_2_a13/ LA - ru ID - TIMM_2013_19_2_a13 ER -
%0 Journal Article %A V. I. Erokhin %A A. S. Krasnikov %A M. N. Hvostov %T On sufficient conditions for the solvability of linear programming for matrix correction of the system of constraints %J Trudy Instituta matematiki i mehaniki %D 2013 %P 144-156 %V 19 %N 2 %U http://geodesic.mathdoc.fr/item/TIMM_2013_19_2_a13/ %G ru %F TIMM_2013_19_2_a13
V. I. Erokhin; A. S. Krasnikov; M. N. Hvostov. On sufficient conditions for the solvability of linear programming for matrix correction of the system of constraints. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 2, pp. 144-156. http://geodesic.mathdoc.fr/item/TIMM_2013_19_2_a13/
[1] Ashmanov S. A., Timokhov A. V., Teoriya optimizatsii v zadachakh i uprazhneniyakh, Nauka, M., 1991, 448 pp. | Zbl
[2] Vasilev F. P., Ivanitskii A. Yu., Lineinoe programmirovanie, Izd-vo “Faktorial-Press”, M., 2003, 352 pp. | MR
[3] Vatolin A. A., “Approksimatsiya nesobstvennykh zadach lineinogo programmirovaniya po kriteriyu evklidovoi normy”, Zhurn. vychisl. matematiki i mat. fiziki, 24:12 (1984), 1907–1908 | Zbl
[4] Voevodin V. V., Kuznetsov Yu. A., Matritsy i vychisleniya, Nauka, M., 1984, 320 pp. | MR | Zbl
[5] Gantmakher F. R., Teoriya matrits, Nauka, M., 1988, 552 pp. | MR | Zbl
[6] Gorelik V. A., Kondrateva V. A., “Parametricheskoe programmirovanie i nesobstvennye zadachi lineinoi optimizatsii”, Modelirovanie, optimizatsiya i dekompozitsiya slozhnykh dinamicheskikh protsessov, Izd-vo VTs RAN, M., 1999, 57–82 | MR
[7] Gorelik V. A., “Matrichnaya korrektsiya zadachi lineinogo programmirovaniya s nesovmestnoi sistemoi ogranichenii”, Zhurn. vychisl. matematiki i mat. fiziki, 24:11 (2001), 1697–1705 | MR | Zbl
[8] Eremin I. I., Mazurov V. D., Astafev N. N., Nesobstvennye zadachi lineinogo i vypuklogo programmirovaniya, Nauka, M., 1983, 336 pp. | MR
[9] Erokhin V. I., “Matrichnaya korrektsiya dvoistvennoi pary nesobstvennykh zadach lineinogo programmirovaniya”, Zhurn. vychisl. matematiki i mat. fiziki, 47:4 (2007), 587–601 | MR | Zbl
[10] Erokhin V. I., Krasnikov A. S., Khvostov M. N., “Minimalnye po evklidovoi norme matrichnye korrektsii zadach lineinogo programmirovaniya”, Avtomatika i telemekhanika, 2012, no. 2, 11–24
[11] Le Nyat Zyui, “Metod dekompozitsii v zadachakh korrektsii nesovmestnykh sistem lineinykh neravenstv s matritsami blochnoi struktury”, Zhurn. vychisl. matematiki i mat. fiziki, 51:10 (2011), 1796–1805 | MR
[12] Muraveva O. V., “Vozmuschenie i korrektsiya sistem lineinykh neravenstv”, Upravlenie bolshimi sistemami, 28, 2010, 40–57
[13] Muraveva O. V., “Robastnost i korrektsiya lineinykh modelei”, Avtomatika i telemekhanika, 2011, no. 3, 98–112 | MR
[14] Popov L. D., “Kombinirovannye shtrafy i obobschennye resheniya nesobstvennykh zadach lineinogo i vypuklogo programmirovaniya 1-go roda”, Tr. In-ta matematiki i mekhaniki UrO RAN, 16, no. 3, 2010, 217–226
[15] Popov L. D., “Primenenie barernykh funktsii dlya optimalnoi korrektsii nesobstvennykh zadach lineinogo programmirovaniya 1-go roda”, Avtomatika i telemekhanika, 2012, no. 3, 3–11