46 citations · 201 across the 50 of their papers we have counts for
6 papers · 1 filter
On non-Hermitian positive (semi)definite linear algebraic systems arising from dissipative Hamiltonian DAEs
Candan Güdücü, Jörg Liesen, Volker Mehrmann +1
We discuss different cases of dissipative Hamiltonian differential-algebraic equations and the linear algebraic systems that arise in their linearization or discretization. For eac…
Error Analysis of a Model Order Reduction Framework for Financial Risk Analysis
Andreas Binder, Onkar Jadhav, Volker Mehrmann
A parametric model order reduction (MOR) approach for simulating the high dimensional models arising in financial risk analysis is proposed on the basis of the proper orthogonal de…
Computation of the nearest structured matrix triplet with common null space
Nicola Guglielmi, Volker Mehrmann
We study computational methods for computing the distance to singularity, the distance to the nearest high index problem, and the distance to instability for linear differential-al…
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…
Hypocoercivity and controllability in linear semi-dissipative Hamiltonian ODEs and DAEs
Franz Achleitner, Anton Arnold, Volker Mehrmann
For the classes of finite dimensional linear time-invariant semi-dissipative Hamiltonian ordinary differential equations and differential-algebraic equations, stability and hypocoe…
The multiplex decomposition: An analytic framework for multilayer dynamical networks
Rico Berner, Volker Mehrmann, Eckehard Schöll +1
Multiplex networks are networks composed of multiple layers such that the number of nodes in all layers is the same and the adjacency matrices between the layers are diagonal. We c…