Tensors, or hypermatrices, are multi-arrays with more than two indices. In the last decade or so, many concepts and results in matrix theory – some of which are nontrivial – have been extended to tensors and have a wide range of applications (for example, spectral hypergraph theory, higher order Markov chains, polynomial optimization, magnetic resonance imaging, automatic control, and quantum entanglement problems). The authors provide a comprehensive discussion of this new theory of tensors. Tensor Analysis is unique in that it is the first book on the spectral theory of tensors; the theory of special tensors, including nonnegative tensors, positive semidefinite tensors, completely positive tensors, and copositive tensors; and the spectral hypergraph theory via tensors, which is covered in a chapter.
ISBN: | 9781611974744 |
Publication date: | 30th June 2017 |
Author: | Liqun Qi, Ziyan Luo |
Publisher: | Society for Industrial & Applied Mathematics,U.S. |
Format: | Paperback |
Pagination: | 319 pages |
Genres: |
Mathematical physics Optimization |