3 papers
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…
physics.soc-ph2026
Generalized Friendship Paradoxes in Network Science
Desmond J. Higham, Francesco Hrobat, Francesco Tudisco
Generalized friendship paradoxes occur when, on average, our friends have more of some attribute than us. These paradoxes are relevant to many aspects of human interaction, notably…
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…