Calculation of directional derivatives in max-min problems with linear constraints
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 3, pp. 454-456 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1991_31_3_a12,
     author = {L. I. Minchenko},
     title = {Calculation of directional derivatives in max-min problems with linear constraints},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {454--456},
     year = {1991},
     volume = {31},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_3_a12/}
}
TY  - JOUR
AU  - L. I. Minchenko
TI  - Calculation of directional derivatives in max-min problems with linear constraints
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1991
SP  - 454
EP  - 456
VL  - 31
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_3_a12/
LA  - ru
ID  - ZVMMF_1991_31_3_a12
ER  - 
%0 Journal Article
%A L. I. Minchenko
%T Calculation of directional derivatives in max-min problems with linear constraints
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1991
%P 454-456
%V 31
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_3_a12/
%G ru
%F ZVMMF_1991_31_3_a12
L. I. Minchenko. Calculation of directional derivatives in max-min problems with linear constraints. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 3, pp. 454-456. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_3_a12/

[1] Fedorov V. V., Chislennye metody maksimina, Nauka, M., 1979 | MR

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

[3] Demyanov V. F., Minimaks: differentsiruemost po napravleniyam, Izd-vo LGU, L., 1974 | MR

[4] Pshenichnyi B. N., Vypuklyi analiz i ekstremalnye zadachi, Nauka, M., 1980 | MR | Zbl

[5] Belousov E. G., “Über Lipschitzstetigkeit und Richtungsdifferenzierbarkeit der Extremalwertfunction”, Seminarber. Sekt. Math., 90, Humboldt-Univ., Berlin, 1987, 28–40 | MR | Zbl

[6] Tigan S., A quasimonotonic max-min programming with linked linear constraints, Res. Seminar Preprint No 7, Babes-Bolyai Univ. Fac. Math., 1986, 279–284 | MR | Zbl

[7] Borisenko O. F., Minchenko L. I., “O differentsiruemosti po napravleniyam funktsii maksimuma”, Zh. vychisl. matem. i matem. fiz., 23:3 (1983), 567–575 | MR | Zbl

[8] Penot J.-B., “Differentiability of relations and differential stability of perturbed optimization problems”, SIAM J. Control and Optimizat., 22:4 (1984), 529–551 | DOI | MR | Zbl

[9] Pshenichnyi B. H., “Teoremy o neyavnykh funktsiyakh dlya mnogoznachnykh otobrazhenii”, Kibernetika, 1986, no. 4, 36–43 | MR

[10] Rubinov A. M., “Approksimatsiya mnogoznachnykh otobrazhenii i differentsiruemost marginalnykh funktsii”, Dokl. AN SSSR, 292:2 (1987), 269–272 | MR | Zbl

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

[12] Karmanov V. G., Matematicheskoe programmirovanie, Nauka, M., 1975 | MR | Zbl