Von Neumann's trace inequality for tensors
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Von Neumann's trace inequality for tensors |
| Type de publication | Journal Article |
| Year of Publication | 2015 |
| Auteurs | Chretien S, Wei T |
| Journal | LINEAR ALGEBRA AND ITS APPLICATIONS |
| Volume | 482 |
| Pagination | 149-157 |
| Date Published | OCT 1 |
| Type of Article | Article |
| ISSN | 0024-3795 |
| Mots-clés | Decomposition (HOSVD), Higher Order Singular Value, Singular Value Decomposition (SVD), Tensors, Von Neumann's trace inequality |
| Résumé | For two matrices in R(n1)x(n2), von Neumann's trace inequality says that their scalar product is less than or equal to the scalar product of their singular spectrum. In this short note, we extend this result to real tensors and provide a complete study of the equality case. (C) 2015 Elsevier Inc. All rights reserved. |
| DOI | 10.1016/j.laa.2015.05.015 |