Unconstrained minimization of $H$-hyperdifferentiable functions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 9, pp. 1500-1508 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1998_38_9_a7,
     author = {A. E. Aban'kin},
     title = {Unconstrained minimization of $H$-hyperdifferentiable functions},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1500--1508},
     year = {1998},
     volume = {38},
     number = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_9_a7/}
}
TY  - JOUR
AU  - A. E. Aban'kin
TI  - Unconstrained minimization of $H$-hyperdifferentiable functions
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1998
SP  - 1500
EP  - 1508
VL  - 38
IS  - 9
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_9_a7/
LA  - ru
ID  - ZVMMF_1998_38_9_a7
ER  - 
%0 Journal Article
%A A. E. Aban'kin
%T Unconstrained minimization of $H$-hyperdifferentiable functions
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1998
%P 1500-1508
%V 38
%N 9
%U http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_9_a7/
%G ru
%F ZVMMF_1998_38_9_a7
A. E. Aban'kin. Unconstrained minimization of $H$-hyperdifferentiable functions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 9, pp. 1500-1508. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_9_a7/

[1] Demyanov V. F., “Approksimatsiya vtorogo poryadka dlya negladkoi funktsii”, Dokl. AN SSSR, 309:3 (1989), 529–532

[2] Demyanov V. F., “O kodifferentsiruemykh funktsiyakh”, Vestn. Leningr. un-ta, 1988, no. 2(8), 22–26 | MR

[3] Demyanov V. F., “Continuous generalized gradients for nonsmooth functions”, Lect. Notes Econom. and Math. Systems, 304, Springer, Berlin, 1988, 24–27 | MR

[4] Demyanov V. F., Rubinov A. M., Osnovy negladkogo analiza i kvazidifferentsialnoe ischislenie, Nauka, M., 1990

[5] Kutateladze S. S., Rubinov A. M., “Dvoistvennost Minkovskogo i ee prilozheniya”, Uspekhi matem. nauk, 27(3) (1972), 127–176 | MR | Zbl

[6] Kutateladze S. S., Rubinov A. M., Dvoistvennost Minkovskogo i ee prilozheniya, Nauka, Novosibirsk, 1976

[7] Demyanov V. F., Rubinov A. M., Constructive nonsmooth analysis, Approximation and Optimizat., 7, Peter Lang, Frankfur-am-Main, 1995, 435 pp. | MR | Zbl

[8] Radsrom H., “An embedding theorem for spaces of convex sets”, Proc. Amer. Math. Soc., 3 (1952), 165–169 | DOI | MR

[9] Diamond P., Kloeden P., Rubinov A., Vladimirov A., “Three metrics in the space of compact convex sets”, Math. Operat. Res., 1997, 97–116

[10] Demyanov V. F., Malozemov V. N., Vvedenie v minimaks, Nauka, M., 1972

[11] Glover D. M., Ishizuka Y., Jeyakumar V., Tuan H. D., “Complete characterizations of global optimality”, SIAM J. Optimizat., 6:2 (1996), 362–372 | DOI | MR | Zbl