Learn More
Parametric Active Set Methods (PASM) are a relatively new class of methods to solve convex Quadratic Programming (QP) problems. They are based on tracing the solution along a linear homotopy between a QP with known solution and the QP to be solved. We explicitly identify numerical challenges in PASM and develop strategies to meet these challenges. To(More)
We investigate an iterative method for the solution of time-periodic parabolic PDE constrained optimization problems. It is an inexact Sequential Quadratic Programming (iSQP) method based on the Newton-Picard approach. We present and analyze a linear quadratic model problem and prove optimal mesh-independent convergence rates. Additionally, we propose a(More)
" Tracing the Pareto frontier in bi-objective optimization problems by ODE techniques " which has been archived on the university repository Lirias (https://lirias.kuleuven.be/) of the Katholieke Universiteit Leuven. (2011). Tracing the Pareto frontier in bi-objective optimization problems by ODE techniques. Numerical Algorithms, 57, 217-233. Abstract In(More)
We consider the problem of computing optimal trac light programs for urban road intersections using trac flow conservation laws on networks. Based on a Partial Outer Convexifi-cation approach, which has been successfully applied in the area of mixed-integer optimal control for systems of ordinary or di↵erential algebraic equations, we develop a(More)
In this article, we present a unified framework for the numerical solution of optimal control problems constrained by ordinary differential equations with both implicit and explicit switches. We present the problem class and qualify different types of implicitly switched systems. This classification significantly affects opportunities for solving such(More)