# 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
Subjects
DOI
Deposit date
17 Dec 2009 13:55
16 May 2011 12:11
URI