English

Computing symmetric rank for symmetric tensors

Algebraic Geometry 2011-11-28 v5 Commutative Algebra

Abstract

We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algebraic geometry approach. We give algorithms for computing the symmetric rank for 2×...×22\times ... \times 2 tensors and for tensors of small border rank. From a geometric point of view, we describe the symmetric rank strata for some secant varieties of Veronese varieties.

Keywords

Cite

@article{arxiv.0908.1651,
  title  = {Computing symmetric rank for symmetric tensors},
  author = {A. Bernardi and A. Gimigliano and M. Idà},
  journal= {arXiv preprint arXiv:0908.1651},
  year   = {2011}
}

Comments

Journal of Symbolic Computation

R2 v1 2026-06-21T13:34:42.108Z