Tensor Analysis: Spectral Theory and Special Tensors

Datum

27.06.2017

Zeit

17:00 - 18:00

Sprecher

Prof. Li-qun Qi

Zugehörigkeit

The Hong Kong Polytechnic University, Department of Applied Mathematics

Serie

TUD Dresdner Mathematisches Seminar

Sprache

en

Hauptthema

Mathematik

Andere Themen

Mathematik

Host

Prof. Dr. A. Fischer

Beschreibung

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 (http://bookstore.siam.org/ot151).

Letztmalig verändert: 08.05.2017, 14:16:42