168 citations · 234 across the 22 of their papers we have counts for
3 papers · 1 filter
On Slater's condition and finite convergence of the Douglas-Rachford algorithm
Heinz H. Bauschke, Minh N. Dao, Dominikus Noll +1
The Douglas-Rachford algorithm is a classical and very successful method for solving optimization and feasibility problems. In this paper, we provide novel conditions sufficient fo…
Nonsmooth trust-region algorithm with applications to robust stability of uncertain systems
Pierre Apkarian, Dominikus Noll, Laleh Ravanbod
We propose a bundle trust-region algorithm to minimize locally Lipschitz functions which are potentially nonsmooth and nonconvex. We prove global convergence of our method and show…
Proximal point algorithm, Douglas-Rachford algorithm and alternating projections: a case study
Heinz H. Bauschke, Minh N. Dao, Dominikus Noll +1
Many iterative methods for solving optimization or feasibility problems have been invented, and often convergence of the iterates to some solution is proven. Under favourable condi…