Geodesic
Local search in problems with nonconvex constraints
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 3, pp. 397-413 
T. V. Gruzdeva; A. S. Strekalovskii. Local search in problems with nonconvex constraints. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 3, pp. 397-413. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_3_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Nonconvex optimization problems with an inequality constraint given by the difference of two convex functions (by a d.c. function) are considered. Two methods for finding local solutions to this problem are proposed that combine the solution of partially linearized problems and descent to a level surface of the d.c. function. The convergence of the methods is analyzed, and stopping criterions are proposed. The methods are compared by testing them in a numerical experiment.

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