Computing symmetric rank for symmetric tensors

Details Computing symmetric rank for symmetric tensors Computing symmetric rank for symmetric tensors

2009-08-12

arxiv.org/abs/0908.1651v5

Journal of Symbolic Computation 46, (2011), 34-53

Mathematics

Algebraic Geometry

Journal of Symbolic Computation

Scientific paper

10.1016/j.jsc.2010.08.001

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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