4 papers · 1 filter
Iterative solvers for partial differential equations with dissipative structure: Operator preconditioning and optimal control
Volker Mehrmann, Manuel Schaller, Martin Stoll
This work considers the iterative solution of large-scale problems subject to non-symmetric matrices or operators arising in discretizations of (port-)Hamiltonian partial different…
Structure-preserving deflation of critical eigenvalues in quadratic eigenvalue problems associated with damped mass-spring systems
Rafikul Alam, Volker Mehrmann, Ninoslav Truhar
For a quadratic matrix polynomial associated with a damped mass-spring system there are three types of critical eigenvalues, the eigenvalues and and the eigenvalues on…
Multilayer approximate nullspace methods for saddle point systems
Murat Manguoğlu, Volker Mehrmann
We propose a new class of multi-layer iterative schemes for solving sparse linear systems in saddle point structure. The new scheme consist of an iterative preconditioner that is b…
Minimization of the Pseudospectral Abscissa of a Quadratic Matrix Polynomial
Volker Mehrmann, Emre Mengi
For a quadratic matrix polynomial dependent on parameters and a given tolerance , the minimization of the -pseudospectral abscissa over the set of permissible parameter va…