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math.NA2025
A Lie algebra view of matrix splittings
Michele Benzi, Milo Viviani
In this paper we use some basic facts from the theory of (matrix) Lie groups and algebras to show that many of the classical matrix splittings used to construct stationary iterativ…
math.NA2025
Changing the ranking in eigenvector centrality of a weighted graph by small perturbations
Michele Benzi, Nicola Guglielmi
In this article, we consider eigenvector centrality for the nodes of a graph and study the robustness (and stability) of this popular centrality measure. For a given weighted graph…
math.NA2024
Estimation of spectral gaps for sparse symmetric matrices
Michele Benzi, Michele Rinelli, Igor Simunec
In this paper we propose and analyze an algorithm for identifying spectral gaps of a real symmetric matrix by simultaneously approximating the traces of spectral projectors ass…