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- Caterina Fenu, David R. Martin, Lothar Reichel, Giuseppe Rodriguez
- SIAM J. Matrix Analysis Applications
- 2013

Approximations of matrix-valued functions of the form $W^Tf(A)W$, where $A \in {\mathbb R}^{m\times m}$ is symmetric, $W\in{\mathbb R}^{m\times k}$, with $m$ large and $ k\ll m$, has orthonormal… (More)

Non destructive investigation of soil properties is crucial when trying to identify inhomogeneities in the ground or the presence of conductive substances. This kind of survey can be addressed with… (More)

- Caterina Fenu, David R. Martin, Lothar Reichel, Giuseppe Rodriguez
- SIAM J. Scientific Computing
- 2013

Large-scale networks arise in many applications. It is often of interest to be able to identify the most important nodes of a network or to ascertain the ease of traveling between nodes. These and… (More)

Tikhonov regularization is commonly used for the solution of linear discrete ill-posed problems with error-contaminated data. A regularization parameter that determines the quality of the computed… (More)

- Francesca Arrigo, Michele Benzi, Caterina Fenu
- SIAM J. Matrix Analysis Applications
- 2015

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 Algebra 1(2), 1973,… (More)

Electromagnetic induction surveys are among the most popular techniques for non-destructive investigation of soil properties in order to detect the presence of either ground inhomogeneities or of… (More)

- Caterina Fenu, Lothar Reichel, Giuseppe Rodriguez
- Numerical Lin. Alg. with Applic.
- 2016

Generalized Cross Validation (GCV) is a popular approach to determining the regularization parameter in Tikhonov regularization. The regularization parameter is chosen by minimizing an expression,… (More)

- Caterina Fenu, Desmond J. Higham
- SIAM J. Matrix Analysis Applications
- 2015

Many types of pairwise interaction take the form of a fixed set of nodes with edges that appear and disappear over time. In the case of discrete-time evolution, the resulting evolving network may be… (More)

Abstract Large-scale networks arise in many applications. It is often of interest to be able to identify the most important nodes of a network or to determine the ease of traveling between them. We… (More)