Geodesic
Iterative algorithm for mathematical programming problems with preconvex constraints
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 5, pp. 832-835 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

An iterative algorithm is proposed for minimizing a convex function on a set defined as the set-theoretic difference between a convex set and the union of several convex sets. The convergence of the algorithm is proved in terms of necessary conditions for a local minimum. 
@article{ZVMMF_2010_50_5_a3,
     author = {T. F. Minnibaev and Yu. A. Chernyaev},
     title = {Iterative algorithm for mathematical programming problems with preconvex constraints},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {832--835},
     year = {2010},
     volume = {50},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a3/}
}
TY  - JOUR
AU  - T. F. Minnibaev
AU  - Yu. A. Chernyaev
TI  - Iterative algorithm for mathematical programming problems with preconvex constraints
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2010
SP  - 832
EP  - 835
VL  - 50
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a3/
LA  - ru
ID  - ZVMMF_2010_50_5_a3
ER  - 
%0 Journal Article
%A T. F. Minnibaev
%A Yu. A. Chernyaev
%T Iterative algorithm for mathematical programming problems with preconvex constraints
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2010
%P 832-835
%V 50
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a3/
%G ru
%F ZVMMF_2010_50_5_a3
T. F. Minnibaev; Yu. A. Chernyaev. Iterative algorithm for mathematical programming problems with preconvex constraints. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 5, pp. 832-835. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a3/

[1] Zabotin V. I., Polonskii Yu. A., “Predvypuklye mnozhestva, otobrazheniya i ikh prilozheniya k ekstremalnym zadacham”, Kibernetika, 1981, no. 1, 71–74 | MR | Zbl

[2] Chernyaev Yu. A., “Dva metoda minimizatsii vypuklykh funktsii na klasse nevypuklykh mnozhestv”, Zh. vychisl. matem. i matem. fiz., 48:10 (2008), 1802–1811 | MR | Zbl