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math.RA2012
On Kruskal's theorem that every 3 x 3 x 3 array has rank at most 5
Murray R. Bremner, Jiaxiong Hu
In the first part of this paper, we consider 3 x 3 x 3 arrays with complex entries, and provide a complete self-contained proof of Kruskal's theorem that the maximum rank is 5. In…
math.CO2012★ 4 cited
Canonical forms of small tensors over F_2
Murray R. Bremner, Jiaxiong Hu
We consider multidimensional arrays with at most 27 entries over the field with two elements, and their equivalence classes for the action of the direct product of general linear g…