Regularity of the Brunovsky--Kronecker Stratification
Josep Ferrer, M. I. García, F. Puerta · SIAM Journal on Matrix Analysis and Applications · 2000
We study the partition of the set of pairs of matrices according to the Brunovsky--Kronecker type. We show that it is a constructible stratification, and that it is Whitney regular when the second matrix is a column matrix. We give an application to the obtainment of bifurcation diagrams for few-parameter generic families of linear systems.