Seminar Details
2010-06-15 (14.00) : Interpolatory model reduction for large-scale systems
At Euler building
Organized by Mathematical Engineering
Speaker :
Thanos ANTOULAS (Rice University, Texas, USA)
Abstract :
Interpolatory model reduction methods have emerged as effective strategies for approximation of large-scale linear dynamical systems.
These methods produce reduced models whose transfer function interpolates the original system transfer function at selected interpolation points.
They are closely related to rational Krylov-based methods and indeed, are precisely that for single input/single output systems.
One main reason why interpolatory model reduction has become the method of choice in true large-scale settings is that this class of methods is numerically stable and well-suited to large scale computations.
The approximation theory behind this approach is similar to that of rational interpolants used to approximate meromorphic functions.
The goal of this talk is to present a survey of model reduction by interpolation.