Preprints:
A. De Marinis, N. Guglielmi, S. Sicilia, F. Tudisco, Stability of neural ODEs by a control over the expansivity of their flows, arxiv preprint, 2025.
M. Gnazzo, N. Guglielmi, F. Poloni, S. Sicilia, Structured distance to singularity as a nonlinear system of equations, arxiv preprint, 2026
Journal articles:
N. Gillis, S. Sicilia, Minimum-norm solutions of the non-symmetric semidefinite Procrustes problem, Linear Algebra and its Applications, 2025
N. Guglielmi, S. Sicilia, A low-rank ODE for spectral clustering stability, Linear Algebra and its Applications, 2025.
N. Guglielmi, S. Sicilia, Stabilization of a matrix via a low-rank-adaptive ODE, BIT Numerical Mathematics, 2024.
N. Guglielmi, C. Lubich, S. Sicilia, Rank-1 Matrix Differential Equations for Structured Eigenvalue Optimization, SIAM Journal on Numerical Analysis, 2023.