Francesco Hrobat

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math.NA2026

Solving a sequence of eigenvalue problems using snapshot and row subsampling

Francesco Hrobat, Yuji Nakatsukasa

A sequence of eigenvalue problems requires solving $A_{i} x_{i} = λ_{i} x_{i}$ where $i \in {1, \dots, N}$ , $N ≫ 1$ and (usually) $λ_{i}$ is the largest or smallest eigenvalue o…

math.NA2026

Matrix Perturbation Theory in the Tangent Space of Isospectral Matrices

Francesco Hrobat, Yuji Nakatsukasa

Eigenvalue and eigenvector perturbation theory is a fundamental topic in several disciplines, including numerical linear algebra, quantum physics, and related fields. The central p…

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 $A X + X A = c c^{T}$ , where $A$ is a symmetric positive definite matrix and $\boldsymbol…