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math.OC2026
Porteous Meets Walsh: Counting Critical Points for -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…
math.OC2025
Incorporating Fixed-Pole Information in the Data-Driven Least Squares Realization Problem
Christof Vermeersch, Sibren Lagauw, Bart De Moor
In practical least squares realization problems, partial information about the pole locations of the dynamical model may be known a priori. Existing techniques for incorporating th…