Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598956 | Linear Algebra and its Applications | 2015 | 9 Pages |
Abstract
For two matrices in Rn1×n2Rn1×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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Stéphane Chrétien, Tianwen Wei,