Caterina Fenu

Network Analysis via Partial Spectral Factorization and Gauss Quadrature

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 related quantities can be determined by evaluating expressions of the form

Block Gauss and Anti-Gauss Quadrature with Application to Networks

\mathbf{u}^Tf(A)\mathbf{w}

GCV for Tikhonov regularization via global Golub–Kahan decomposition

, where

Regularized solution of a nonlinear problem in electromagnetic sounding

A

Block Matrix Formulations for Evolving Networks

is the adjacency matrix that represents the graph of the network,

Computation of Generalized Matrix Functions

f

PQser : a Matlab package for spectral seriation

is a nonlinear function, such as the exponential function, and

GCV for Tikhonov regularization by partial SVD

\mathbf{u}

Analysis of directed networks via partial singular value decomposition and Gauss quadrature

and

A MATLAB package for EMI data inversion

\mathbf{w}