60 citations · 75 across the 13 of their papers we have counts for
4 papers · 1 filter
Computation of Stability Radii for Large-Scale Dissipative Hamiltonian Systems
Nicat Aliyev, Volker Mehrmann, Emre Mengi
A linear time-invariant dissipative Hamiltonian (DH) system x' = (J-R)Q x, with a skew-Hermitian J, an Hermitian positive semi-definite R, and an Hermitian positive definite Q, is…
Nonsmooth Rate-of-Convergence Analyses of Algorithms for Eigenvalue Optimization
Fatih Kangal, Emre Mengi
Non-smoothness at optimal points is a common phenomenon in many eigenvalue optimization problems. We consider two recent algorithms to minimize the largest eigenvalue of a Hermitia…
Large-Scale and Global Maximization of the Distance to Instability
Emre Mengi
The larger the distance to instability from a matrix is, the more robustly stable the associated autonomous dynamical system is in the presence of uncertainties and typically the l…
Subspace Methods for 3-Parameter Eigenvalue Problems
Michiel E. Hochstenbach, Karl Meerbergen, Emre Mengi +1
We propose subspace methods for 3-parameter eigenvalue problems. Such problems arise when separation of variables is applied to separable boundary value problems; a particular exam…