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Rank and Border Rank Additivity of Complex Tensors with a Hankel Summand

Li, Jianze
arXiv (All) · Papers
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15a6968q17algebraic-geometrycommutative-algebrarings-and-algebras
We prove that the CP rank of a complex Hankel tensor of order $m\ge3$ is additive with that of every complex tensor of the same order. Together with the known equality of CP and symmetric ranks for complex Hankel tensors, this yields symmetric rank additivity whenever the other summand has equal CP
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