8 citations · 28 across the 27 of their papers we have counts for
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Approximating leading singular triplets of a matrix function
Sarah W. Gaaf, Valeria Simoncini
Given a large square matrix and a sufficiently regular function so that is well defined, we are interested in the approximation of the leading singular values and co…
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…
The Lyapunov matrix equation. Matrix analysis from a computational perspective
Valeria Simoncini
Decay properties of the solution to the Lyapunov matrix equation are investigated. Their exploitation in the understanding of equation matrix properties, and i…
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…
Matrix-equation-based strategies for convection-diffusion equations
Davide Palitta, Valeria Simoncini
We are interested in the numerical solution of nonsymmetric linear systems arising from the discretization of convection-diffusion partial differential equations with separable coe…