Computing symmetric rank for symmetric tensors

Alessandra Bernardi 1 Alessandro Gimigliano 2 Monica Idà 2
1 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis, CNRS - Centre National de la Recherche Scientifique : UMR6621
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 $2\times \cdots \times 2$ 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.
Document type :
Journal articles
Liste complète des métadonnées

Cited literature [38 references]  Display  Hide  Download

https://hal.inria.fr/hal-00645973
Contributor : Alessandra Bernardi <>
Submitted on : Monday, November 28, 2011 - 10:39:29 PM
Last modification on : Friday, January 12, 2018 - 1:49:35 AM
Document(s) archivé(s) le : Wednesday, February 29, 2012 - 2:31:17 AM

File

BGI_8-7-10.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Alessandra Bernardi, Alessandro Gimigliano, Monica Idà. Computing symmetric rank for symmetric tensors. Journal of Symbolic Computation, Elsevier, 2011, 46 (1), pp.34-53. ⟨10.1016/j.jsc.2010.08.001⟩. ⟨hal-00645973⟩

Share

Metrics

Record views

301

Files downloads

253