Canonical forms for pairs of matrices associated with Lagrangian and Dirac subspaces

Sweta Das, Andrii Dmytryshyn, Volker Mehrmann

We derive the canonical forms for a pair of $n\times n$ complex matrices $(E,Q)$ under transformations $(E,Q)\to (UEV,U^{-T}QV)$, and $(E,Q)\to (UEV,U^{-\ast }QV)$, w…