4 papers
Enhancing multiplex global efficiency
Silvia Noschese, Lothar Reichel
Modeling complex systems that consist of different types of objects leads to multilayer networks, in which vertices are connected by both inter-layer and intra-layer edges. In this…
Spectral computation with third-order tensors using the t-product
Anas El Hachimi, Khalide Jbilou, Ahmed Ratnani +1
The tensor t-product, introduced by Kilmer and Martin [26], is a powerful tool for the analysis of and computation with third-order tensors. This paper introduces eigentubes and ei…
Network analysis with the aid of the path length matrix
Silvia Noschese, Lothar Reichel
Let a network be represented by a simple graph with vertices. A common approach to investigate properties of a network is to use the adjacency matrix $A=[a_{ij}]_…
A tensor bidiagonalization method for higher-order singular value decomposition with applications
Anas El Hachimi, Khalide Jbilou, Ahmed Ratnani +1
The need to know a few singular triplets associated with the largest singular values of third-order tensors arises in data compression and extraction. This paper describes a new me…