Preprints:
N. Gillis, S. Saha, S. Sicilia, A. Vandaele, On the Complexity of Entrywise Power Matrix Factorization, arXiv preprint, 2026
N. Gillis, S. Saha, S. Sicilia, A. Vandaele, Manifold-based Algorithms for the Hadamard Decomposition, arXiv preprint, 2026
M. Gnazzo, N. Guglielmi, F. Poloni, S. Sicilia, Structured distance to singularity as a nonlinear system of equations, arxiv preprint, 2026
A. De Marinis, N. Guglielmi, S. Sicilia, F. Tudisco, Improving the robustness of neural ODEs with minimal weight perturbation, arxiv preprint, 2025.
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.