| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4600666 | Linear Algebra and its Applications | 2013 | 5 Pages |
Abstract
Kruskal proved that a tensor in V1⊗V2⊗⋯⊗Vm of rank r has a unique decomposition as a sum of r pure tensors if a certain inequality is satisfied. We will show the uniqueness fails if the inequality is weakened. We give two different constructions for counterexamples.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
