Faculty : Pierre-Antoine Absil, Alphonse Magnus, Yurii Nesterov, Paul Van Dooren
External faculty : Marc Germain (Lille3)
Graduate students and post-doctorates :
Pierre Borckmans, Nicolas Boumal, Thomas Cason, Mariya Ishteva, Quentin Rentmeesters, Francois Ndayiragije (SC doctorate school), Easter Selvan Suviseshamuthu.
Description :
The group works on numerical methods for rational approximation, linear algebra and optimization with applications in systems and control, economy, biology and medicine.
In approximation theory we look at approximation problems in the complex plane (orthogonal polynomials, quadrature formulas) and at the solution of functional equations, with applications in science, technology and economy. In linear algebra we study the model reduction problem via interpolation and projection of state-space models. We also look at optimal Hankel-norm approximations and their formulation via convex optimization techniques. In optimization, we are looking for general schemes with provable global complexity estimates. This extends onto the methods for solving systems of nonlinear equations and optimization on nonlinear manifolds. These techniques are applied to problems in signals and systems.
Publications : here
Research grant :
NSF Collaborative Research Grant ACI-0324944 on Model Reduction of Dynamical Systems for Real Time Control
Ex: Model of a building and matching of the frequency responses of reduced order approximations
