3 papers
math.NA2026
Rectangular Multispectral Perturbation Theory
Christof Vermeersch, Sarthak De, Bart De Moor
We provide a first systematic treatment of so-called rectangular multispectral perturbation theory. With their paper from 2003, Hochstenbach and Plestenjak ["Backward Error, Condit…
cs.MS2026
Solving Multivariate Polynomial Systems and Rectangular Multiparameter Eigenvalue Problems with MacaulayLab
Christof Vermeersch, Bart De Moor
We present the Matlab toolbox MacaulayLab, which implements numerical linear algebra algorithms for solving multivariate polynomial systems and rectangular multiparameter eigenvalu…
math.OC2026
Computing the Pareto Front by Polynomial Elimination, With an Application From System Identification
Hans van Rooij, Christof Vermeersch, Marie Deferme +1
We propose a novel numerical approach to compute the Pareto front in multivariate polynomial multi-objective optimization problems. When the objective functions and (equality) cons…