New Trends in Computational Science in Engineering and Industrial Mathematics

Is IRKA a Riemannian Optimization Method?

2 Jul 2022, 13:20

20m

Toepffer-Villa (Magdeburg)

Academic talk (15min) Scientific program Saturday

Speaker

Petar Mlinarić (Virginia Tech)

Description

We consider the Riemannian submanifold of matrix-valued rational functions of fixed McMillan degree embedded in the Hardy ${\mathcal{H}}_2$ space and explore whether IRKA can be interpreted as a Riemannian optimization method over this manifold.