4 papers
Multilayer approximate nullspace methods for saddle point systems
Murat ManguoÄlu, 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…
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…
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…
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…