Geodesic
Opposite problems and dual regularization in linear programming
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 2, pp. 16-22 
N. N. Astaf'ev. Opposite problems and dual regularization in linear programming. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 2, pp. 16-22. http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a2/
@article{TIMM_2008_14_2_a2,
     author = {N. N. Astaf'ev},
     title = {Opposite problems and dual regularization in linear programming},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {16--22},
     year = {2008},
     volume = {14},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a2/}
}
TY  - JOUR
AU  - N. N. Astaf'ev
TI  - Opposite problems and dual regularization in linear programming
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2008
SP  - 16
EP  - 22
VL  - 14
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a2/
LA  - ru
ID  - TIMM_2008_14_2_a2
ER  - 
%0 Journal Article
%A N. N. Astaf'ev
%T Opposite problems and dual regularization in linear programming
%J Trudy Instituta matematiki i mehaniki
%D 2008
%P 16-22
%V 14
%N 2
%U http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a2/
%G ru
%F TIMM_2008_14_2_a2

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

For problems of linear programming, matrix games, and Chebyshev's measures of systems of affine functions, we set opposite problems (in the same classes). We propose to analyze them jointly, using the duality.

[1] Eremin I. I., Teoriya lineinoi optimizatsii, Izd-vo “Ekaterinburg”, Ekaterinburg, 1999

[2] G. Kun, A. Takker (red.), Lineinye neravenstva i smezhnye voprosy, IL, M., 1959

[3] Chernikov S. N., Lineinye neravenstva, Nauka, M., 1968 | MR | Zbl

[4] Rokafellar R., Vypuklyi analiz, Mir, M., 1973

[5] Khorn R., Matrichnyi analiz, Mir, M., 1989 | MR

[6] Astafev N. N., Lineinye neravenstva i vypuklost, Nauka, M., 1982 | MR