Computing symmetric rank for symmetric tensors

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.

• Type: Journal
• Year: 2011
• Where: JSC
• Authors: Alessandra Bernardi, Alessandro Gimigliano, Monica Idà
• Keywords: JSC 2011, Symmetric Rank, Symmetric Tensors, Tensors