Geodesic
Iterative algorithm for mathematical programming problems with preconvex constraints
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 5, pp. 832-835 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[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