Computing symmetric rank for symmetric tensors
Bernardi, A. ; Gimigliano, A. ; Idà, M.
arXiv, 0908.1651 / Harvested from arXiv
Text on arXiv
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 $2\times ... \times 2$ 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.
Publié le : 2009-08-12
Classification:  Mathematics - Algebraic Geometry,  Mathematics - Commutative Algebra,  14N05, 13P05, 14J26 
@article{0908.1651,
     author = {Bernardi, A. and Gimigliano, A. and Id\`a, M.},
     title = {Computing symmetric rank for symmetric tensors},
     journal = {arXiv},
     volume = {2009},
     number = {0},
     year = {2009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0908.1651}
}

Bernardi, A.; Gimigliano, A.; Idà, M. Computing symmetric rank for symmetric tensors. arXiv, Tome 2009 (2009) no. 0, . http://gdmltest.u-ga.fr/item/0908.1651/