Upper bounds for the rank of powers of quadrics
We establish an upper bound for the rank of every power of an arbitrary quadratic form. Specifically, for any s ∈ N , we prove that the s -th power of a quadratic form of rank n grows as n s . Furthermore, we demonstrate that its rank is subgeneric for all n > ( 2 s − 1 ) 2 .
Authors
- Cosimo Flavi (ORCID: https://orcid.org/0000-0001-5251-4474)
Publication Details
- Journal
- Linear Algebra and its Applications
- Published
- 2024-11-19
- DOI
- https://doi.org/10.1016/j.laa.2024.11.009
- Primary Topic
- Tensor decomposition and applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00