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.
A.Bernardi, A.Gimigliano, M.Idà (2011). Computing symmetric rank for symmetric tensors. JOURNAL OF SYMBOLIC COMPUTATION, 46 (1), 34-53 [10.1016/j.jsc.2010.08.001].
Computing symmetric rank for symmetric tensors.
BERNARDI, ALESSANDRA;GIMIGLIANO, ALESSANDRO;IDA', MONICA
2011
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.File in questo prodotto:
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