Porteous Meets Walsh: Counting Critical Points for ${\mathcal{H}}_2$-Norm Model Order Reduction Using Algebraic Geometry Behind Multiparameter Eigenvalue Problems

Sibren Lagauw, Leonie Kayser, Bart De Moor

Several polynomial systems arising in systems and control have been shown to exhibit a partially linear structure, which allows them to be reformulated as a multiparameter eigenval…