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.
Computing symmetric rank for symmetric tensors / A.Bernardi; A.Gimigliano; M.Idà. - In: JOURNAL OF SYMBOLIC COMPUTATION. - ISSN 0747-7171. - STAMPA. - 46 (1):(2011), pp. 34-53. [10.1016/j.jsc.2010.08.001]
Computing symmetric rank for symmetric tensors.
BERNARDI, ALESSANDRA;GIMIGLIANO, ALESSANDRO;IDA', MONICA
2011
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 × · · · × 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.File in questo prodotto:
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