28 citations · 37 across the 4 of their papers we have counts for
9 papers
Low-rank perturbation of symplectic matrices
Christian Mehl
In this paper the generic behavior of the Jordan structure of symplectic matrices under low-rank structure-preserving transformations is considered. So far, only the case of rank-o…
Spectral theory of infinite dimensional dissipative Hamiltonian systems
Christian Mehl, Volker Mehrmann, Michał Wojtylak
The spectral theory for operator pencils and operator differential-algebraic equations is studied. Special focus is laid on singular operator pencils and three different concepts o…
Solving singular generalized eigenvalue problems. Part II: projection and augmentation
Michiel E. Hochstenbach, Christian Mehl, Bor Plestenjak
Generalized eigenvalue problems involving a singular pencil may be very challenging to solve, both with respect to accuracy and efficiency. While Part I presented a rank-completing…
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…
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…
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…
Solving singular generalized eigenvalue problems by a rank-completing perturbation
Michiel E. Hochstenbach, Christian Mehl, Bor Plestenjak
Generalized eigenvalue problems involving a singular pencil are very challenging to solve, both with respect to accuracy and efficiency. The existing package Guptri is very elegant…
Linear algebra properties of dissipative Hamiltonian descriptor systems
Christian Mehl, Volker Mehrmann, Michal Wojtylak
A wide class of matrix pencils connected with dissipative Hamiltonian descriptor systems is investigated. In particular, the following properties are shown: all eigenvalues are in…
Structured eigenvalue/eigenvector backward errors of matrix pencils arising in optimal control
Christian Mehl, Volker Mehrmann, Punit Sharma
Eigenvalue and eigenpair backward errors are computed for matrix pencils arising in optimal control. In particular, formulas for backward errors are developed that are obtained und…