3 papers
math.DS2018
Computing Convex Hulls of Trajectories
Daniel Ciripoi, Nidhi Kaihnsa, Andreas Löhne +1
We study the convex hulls of trajectories of polynomial dynamical systems. Such trajectories include real algebraic curves. The boundaries of the resulting convex bodies are strati…
math.OC2018
Calculus of convex polyhedra and polyhedral convex functions by utilizing a multiple objective linear programming solver
Daniel Ciripoi, Andreas Löhne, Benjamin Weißing
The article deals with operations defined on convex polyhedra or polyhedral convex functions. Given two convex polyhedra, operations like Minkowski sum, intersection and closed con…
math.OC2017
A vector linear programming approach for certain global optimization problems
Daniel Ciripoi, Andreas Löhne, Benjamin Weißing
Global optimization problems with a quasi-concave objective function and linear constraints are studied. We point out that various other classes of global optimization problems can…