Nonsmooth convex optimization - theory and solution methodology

Start date 01/07/1998
End date 31/12/2020
In a long series of projects, we study nonsmooth convex optimization problems. The topics studied include theory - mathematical and related complexity properties - as well as methodology development and convergence analyses. The problems studied are composed by linear and/or nonlinear convex functions and polyhedral and/or general convex sets. In particular, we study Lagrangean dual reformulations of convex optimization problems and methodology for their solution.

We have developed and analyzed generalized subgradient optimization methods. Further, since (Lagrangean) dual subgradient schemes do not automatically produce primal feasible solutions, we construct - at minor cost - an ergodic sequence of primal subproblem solutions which is shown to converge to the primal solution set. We have further elaborated with the construction of the primal ergodic sequences, in order to increase the convergence speed.
Project leader
​Ann-Brith Strömberg, e-mail anstr@chalmers.se
External partner
​Linköpings universitet
Connection to centre
​Gothenburg Centre for Advanced Studies in Science and Technology
​NFR, Chalmers
​Transport
Energy

Published: Fri 03 Jun 2016.