364 citations · 576 across the 22 of their papers we have counts for
5 papers · 1 filter
Computation of generalized matrix functions
Francesca Arrigo, Michele Benzi, Caterina Fenu
We develop numerical algorithms for the efficient evaluation of quantities associated with generalized matrix functions [J. B. Hawkins and A. Ben-Israel, Linear and Multilinear Alg…
Core-satellite Graphs. Clustering, Assortativity and Spectral Properties
Ernesto Estrada, Michele Benzi
Core-satellite graphs (sometimes referred to as generalized friendship graphs) are an interesting class of graphs that generalize many well known types of graphs. In this paper we…
Edge modification criteria for enhancing the communicability of digraphs
Francesca Arrigo, Michele Benzi
We introduce new broadcast and receive communicability indices that can be used as global measures of how effectively information is spread in a directed network. Furthermore, we d…
Approximation of functions of large matrices with Kronecker structure
Michele Benzi, Valeria Simoncini
We consider the numerical approximation of where and is the sum of Kronecker products, that is ${\cal A}=M_2 \otimes I + I \otimes M_1…
Decay bounds for functions of matrices with banded or Kronecker structure
Michele Benzi, Valeria Simoncini
We present decay bounds for a broad class of Hermitian matrix functions where the matrix argument is banded or a Kronecker sum of banded matrices. Besides being significantly tight…