3 papers
math.NA2026
Lanczos with compression for symmetric eigenvalue problems
Angelo A. Casulli, Daniel Kressner, Nian Shao
The Lanczos method with implicit restarting is one of the most popular methods for finding a few exterior eigenpairs of a large symmetric matrix . Usually based on polynomial fi…
cs.LG2026
Neural-HSS: Hierarchical Semi-Separable Neural PDE Solver
Pietro Sittoni, Emanuele Zangrando, Angelo A. Casulli +2
Deep learning-based methods have shown remarkable effectiveness in solving PDEs, largely due to their ability to enable fast simulations once trained. However, despite the availabi…
math.NA2025
Lanczos with compression for symmetric matrix Lyapunov equations
Angelo A. Casulli, Francesco Hrobat, Daniel Kressner
This work considers large-scale Lyapunov matrix equations of the form , where is a symmetric positive definite matrix and $\boldsymbol…