English

Bounds on the tensor rank

Algebraic Geometry 2017-05-08 v1 Commutative Algebra

Abstract

We give a sufficient criterion for a lower bound of the cactus rank of a tensor. Then we refine that criterion in order to be able to give an explicit sufficient condition for a non-redundant decomposition of a tensor to be minimal and unique.

Keywords

Cite

@article{arxiv.1705.02299,
  title  = {Bounds on the tensor rank},
  author = {Edoardo Ballico and Alessandra Bernardi and Luca Chiantini and Elena Guardo},
  journal= {arXiv preprint arXiv:1705.02299},
  year   = {2017}
}

Comments

14 pages

R2 v1 2026-06-22T19:38:27.542Z