Projects
Mixed-initiative explanation methods: towards the next generation of interactive machine learning steered with rich feedback of non-expert users KU Leuven
HPC iterative solvers for multi-particle physics simulation. University of Antwerp
Pole swapping methods for the eigenvalue problem - Rational QR algorithms KU Leuven
The matrix eigenvalue problem is often encountered in scientific computing
applications. Although it has an uncomplicated problem formulation, the best
numerical algorithms devised to solve it are far from obvious.
Computing all eigenvalues of a small to medium-sized matrix is nowadays a
routine task for an algorithm of implicit QR-type using a bulge chasing technique.
On the other hand projection methods are ...
Linearization Methods for Eigenvalue Problems with Eigenvector Nonlinearities KU Leuven
One of the core elements of every engineer's toolbox is matrix eigenvalue analysis. The availability of fast and reliable solvers makes the linear eigenvalue problem a popular analysis tool for many applications such as vibration analysis for building stability, data science, and the PageRank algorithm for ranking web pages in search engine results. For more complex applications, the eigenvalue problem has been extended to incorporate ...
Newton-type operator splitting methods for real-time optimization of cyberphysical systems KU Leuven
Operator splitting techniques, introduced in the 50's for solving PDEs and optimal control problems, have been successfully used to reduce complex problems into a series of simpler subproblems. They have recently received an enormous renewed interest due to their ability in handling large-scale and embedded convex optimization problems, and thus have found numerous applications in real-time control, machine learning, data mining and signal ...