4 papers
On the banded Toeplitz structured distance to symmetric positive semidefiniteness
Silvia Noschese, Lothar Reichel
This paper is concerned with the determination of a close real banded positive definite Toeplitz matrix in the Frobenius norm to a given square real banded matrix. While it is stra…
Communication in Complex Networks
Omar De la Cruz Cabrera, Jiafeng Jin, Silvia Noschese +1
One of the properties of interest in the analysis of networks is \emph{global communicability}, i.e., how easy or difficult it is, generally, to reach nodes from other nodes by fol…
Estimating and increasing the structural robustness of a network
Silvia Noschese, Lothar Reichel
The capability of a network to cope with threats and survive attacks is referred to as its robustness. This paper discusses one kind of robustness, commonly denoted structural robu…
Functions and eigenvectors of partially known matrices with applications to network analysis
Mohammed Al Mugahwi, Omar De la Cruz Cabrera, Silvia Noschese +1
Matrix functions play an important role in applied mathematics. In network analysis, in particular, the exponential of the adjacency matrix associated with a network provides valua…