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Journal Articles Journal of Symbolic Computation Year : 2011

Computing symmetric rank for symmetric tensors

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.
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Dates and versions

hal-00645973 , version 1 (28-11-2011)

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