3 papers
math.NA2025
A fast and memoryless numerical method for solving fractional differential equations
Nicola Guglielmi, Ernst Hairer
The numerical solution of implicit and stiff differential equations by implicit numerical integrators has been largely investigated and there exist many excellent efficient codes a…
math.NA2024
Gripenberg-like algorithm for the lower spectral radius
Nicola Guglielmi, Francesco Paolo Maiale
This article presents an extended algorithm for computing the lower spectral radius of finite, non-negative matrix sets. Given a set of matrices $\mathcal{F} = \{A_1, \ldots, A_m\}…
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…