3 papers
math.NA2025
Approximation of the Pseudospectral Abscissa via Eigenvalue Perturbation Theory
Waqar Ahmed, Emre Mengi
Reliable and efficient computation of the pseudospectral abscissa in the large-scale setting is still not settled. Unlike the small-scale setting where there are globally convergen…
math.NA2024
Uniform Approximation of Eigenproblems of a Large-Scale Parameter-Dependent Hermitian Matrix
Mattia Manucci, Emre Mengi, Nicola Guglielmi
We consider the uniform approximation of the smallest eigenvalue of a large parameter-dependent Hermitian matrix by that of a smaller counterpart obtained through projections. The…
math.NA2024
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…