17 citations · 148 across the 28 of their papers we have counts for
4 papers · 1 filter
Subdifferentials of convex matrix-valued functions
M. V. Dolgopolik
Subdifferentials (in the sense of convex analysis) of matrix-valued functions defined on that are convex with respect to the Löwner partial order can have a complica…
Exact augmented Lagrangians for constrained optimization problems in Hilbert spaces II: Applications
M. V. Dolgopolik
This two-part study is devoted to the analysis of the so-called exact augmented Lagrangians, introduced by Di Pillo and Grippo for finite dimensional optimization problems, in the…
Hypodifferentials of nonsmooth convex functions and their applications to nonsmooth convex optimization
M. V. Dolgopolik
A hypodifferential is a compact family of affine mappings that defines a local max-type approximation of a nonsmooth convex function. We present a general theory of hypodifferentia…
An adaptive exact penalty method for nonsmooth optimal control problems with nonsmooth nonconvex state and control constraints
M. V. Dolgopolik
A class of exact penalty-type local search methods for optimal control problems with nonsmooth cost functional, nonsmooth (but continuous) dynamics, and nonsmooth state and control…