7 jun 2017 -- 15:00
Sala conferenze Tricerri, DiMaI, Università di Firenze
Abstract.
Eigenvalues for tensors were introduced in 2005. Since then, a rich theory on eigenvalues of tensors and special tensors has been developed. This includes the characteristic polynomial theory, the Perron-Frobenius theory for nonnegative tensors with applications in spectral hypergraph theory and higher order Markov chains, positive semi-definite tensors and sum-of-squares tensors, completely positive tensors and copositive tensors, etc. Eigenvalues of tensors also found their applications in magnetic resonance imaging, elastic mechanics, liquid crystal study, quantum entanglement and classicality problems, etc. A book ''Tensor Analysis: Spectral Theory and Special Tensors'' is published by SIAM in April this year.