17 citations · 148 across the 28 of their papers we have counts for
4 papers · 1 filter
Steering exact penalty DCA for nonsmooth DC optimization problems with equality and inequality constraints
M. V. Dolgopolik
We propose and study a version of the DCA (Difference-of-Convex functions Algorithm) using the penalty function for solving nonsmooth DC optimization problems with nonsmoo…
Exact penalty functions with multidimensional penalty parameter and adaptive penalty updates
M. V. Dolgopolik
We present a general theory of exact penalty functions with vectorial (multidimensional) penalty parameter for optimization problems in infinite dimensional spaces. In comparison w…
Codifferentials and Quasidifferentials of the Expectation of Nonsmooth Random Integrands and Two-Stage Stochastic Programming
M. V. Dolgopolik
This work is devoted to an analysis of exact penalty functions and optimality conditions for nonsmooth two-stage stochastic programming problems. To this end, we first study the co…
DC Semidefinite Programming and Cone Constrained DC Optimization: Theory and Local Search Methods
M. V. Dolgopolik
In this paper, we study possible extensions of the main ideas and methods of constrained DC optimization to the case of nonlinear semidefinite programming problems and more general…