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 $2 imes ... imes 2$ 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 / Bernardi, Alessandra; A., Gimigliano; M., Idà. - In: JOURNAL OF SYMBOLIC COMPUTATION. - ISSN 0747-7171. - 46:1(2011), pp. 34-53. [10.1016/j.jsc.2010.08.001]
Computing symmetric rank for symmetric tensors
Bernardi, Alessandra;
2011-01-01
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 $2 imes ... imes 2$ 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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