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math.NA2026
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.NA2025
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…
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…