3 papers
math.NA2021
Matrix pencils with coefficients that have positive semidefinite Hermitian part
Christian Mehl, Volker Mehrmann, Michal Wojtylak
We analyze when an arbitrary matrix pencil is equivalent to a dissipative Hamiltonian pencil and show that this heavily restricts the spectral properties. In order to relax the spe…
math.NA2020
Distance problems for dissipative Hamiltonian systems and related matrix polynomials
Christian Mehl, Volker Mehrmann, Michal Wojtylak
We study the characterization of several distance problems for linear differential-algebraic systems with dissipative Hamiltonian structure. Since all models are only approximation…
math.SP2019
Low rank perturbation of regular matrix pencils with symmetry structures
Fernando De Terán, Christian Mehl, Volker Mehrmann
The generic change of the Weierstrass Canonical Form of regular complex structured matrix pencils under generic structure-preserving additive low-rank perturbations is studied. Sev…