## Research interests

My research is on large-scale and high-dimensional problems that are solved numerically using low-rank matrix and tensor techniques. Examples of such problems are the electronic SchrÃ¶dinger equation, parametric partial differential equations, and low-rank matrix completion. I tend to focus on practical algorithms that can be formulated on Riemannian matrix manifolds and use techniques from numerical linear algebra. My other research interests include pseudospectra, matrix means, model-order reduction, and multilevel preconditioning.

## Publications

### Submitted

### Published journal articles

### Refereed conference papers

### Ph.D thesis

2010 | |

[1] | Riemannian and multilevel optimization for rank-constrained matrix problems PhD thesis, Department of Computer Science, KU Leuven, 2010. |

## Software

MATLAB code for the paper

*Robust Rayleigh quotient minimization and nonlinear eigenvalue problems*: see here.MATLAB code for the paper

*Subspace acceleration for the Crawford number and related eigenvalue optimization problems*: see here.MATLAB code for the paper

*Criss-cross type algorithms for computing the real pseudospectral abscissa*: see here.Python code for the paper

*Time integration of tensor trains*: email me, code cannot be distributed because of copyright of 3rd party code.MATLAB code for the paper

*A Riemannian approach to low-rank algebraic Riccati equations*: see here.MATLAB code for the paper

*Subspace methods for computing the pseudospectral abscissa and the stability radius*: see here.MATLAB code for the paper

*The geometry of algorithms using hierarchical tensors*: see here.MATLAB code for the paper

*Low-rank matrix completion by Riemannian optimization*: see here.MATLAB code for the paper

*Low-rank tensor completion by Riemannian optimization*: see here.