Geometric conditions for strict submultiplicativity of rank and border rank
نویسندگان
چکیده
منابع مشابه
A note on the gap between rank and border rank
We study the tensor rank of the tensor corresponding to the algebra of n-variate complex polynomials modulo the dth power of each variable. As a result we find a sequence of tensors with a large gap between rank and border rank, and thus a counterexample to a conjecture of Rhodes. At the same time we obtain a new lower bound on the tensor rank of tensor powers of the generalised W-state tensor....
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ژورنال
عنوان ژورنال: Annali di Matematica Pura ed Applicata (1923 -)
سال: 2020
ISSN: 0373-3114,1618-1891
DOI: 10.1007/s10231-020-00991-6