Computing symmetric rank for symmetric tensors.

Bernardi, Alessandra ; Gimigliano, Alessandro ; Idà, Monica (2009) Computing symmetric rank for symmetric tensors. [Preprint]

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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 $2\times \cdots \times 2$ 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.

Abstract
Document type
Preprint
Creators
CreatorsAffiliationORCID
Bernardi, Alessandra
Gimigliano, Alessandro
Idà, Monica
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DOI
Deposit date
17 Dec 2009 13:55
Last modified
16 May 2011 12:11
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