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arXiv · 0908.1651

Computing symmetric rank for symmetric tensors

A. Bernardi·A. Gimigliano·M. Idà
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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 $2\times ... \times 2$ 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.

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A. Bernardi, A. Gimigliano, M. Idà. 2009-08-12. Computing symmetric rank for symmetric tensors. https://doi.org/10.1016/j.jsc.2010.08.001

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