Monica: Computing symmetric rank for symmetric tensors
by
Alessandra Bernardi
,
Alessandro Gimigliano
,
Monica Idà
| Venue: | J. Symbolic Comput |
| Citations: | 3 - 2 self |
BibTeX
@ARTICLE{Bernardi_monica:computing,
author = {Alessandra Bernardi and Alessandro Gimigliano and Monica Idà},
title = {Monica: Computing symmetric rank for symmetric tensors},
journal = {J. Symbolic Comput},
year = {},
pages = {34--53}
}
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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 × · · · × 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. Key words: Symmetric tensor, tensor rank, secant variety. 1.
