18 citations · 19 across the 3 of their papers we have counts for
5 papers · 1 filter
Subspace method for multiparameter-eigenvalue problems based on tensor-train representations
Koen Ruymbeek, Karl Meerbergen, Wim Michiels
In this paper we solve -parameter eigenvalue problems (EPs), with any natural number by representing the problem using Tensor-Trains (TT) and designing a method based on…
Tensor-Krylov method for computing eigenvalues of parameter-dependent matrices
Koen Ruymbeek, Karl Meerbergen, Wim Michiels
In this paper we extend the Residual Arnoldi method for calculating an extreme eigenvalue (e.g. largest real part, dominant,...) to the case where the matrices depend on parameters…
A pseudo-spectra based characterisation of the robust strong H-infinity norm of time-delay systems with real-valued and structured uncertainties
Pieter Appeltans, Wim Michiels
This paper examines the robust (strong) H-infinity norm of a linear time-invariant system with discrete delays. The considered system is subject to real-valued, structured, Frobeni…
Spectrum-based stability analysis and stabilization of a class of time-periodic time delay systems
Wim Michiels, Luca Fenzi
We develop an eigenvalue-based approach for the stability assessment and stabilization of linear systems with multiple delays and periodic coefficient matrices. Delays and period a…
Polynomial (chaos) approximation of maximum eigenvalue functions: efficiency and limitations
Luca Fenzi, Wim Michiels
This paper is concerned with polynomial approximations of the spectral abscissa function (the supremum of the real parts of the eigenvalues) of a parameterized eigenvalue problem,…