5 papers
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…
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…
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…
Modeling advection on distance-weighted directed networks
Michele Benzi, Fabio Durastante, Francesco Zigliotto
In this paper we propose a model for describing advection dynamics on distance-weighted directed graphs. To this end we establish a set of key properties, or axioms, that a discret…
Spectra and pseudospectra in the evaluation of material stability in phase field schemes
Michele Benzi, Daniele La Pegna, Paolo Maria Mariano
We consider the dynamics of bodies with "active" microstructure described by vector-valued phase fields. For waves with time-varying amplitude, the associated evolution equation in…