2 papers
math.AG2022
Tensor rank of the direct sum of two copies of matrix multiplication tensor is 14
Filip Rupniewski
The article is concerned with the problem of the additivity of the tensor rank. That is for two independent tensors we study when the rank of their direct sum is equal to the sum o…
math.AG2019
On Strassen's rank additivity for small three-way tensors
Jarosław Buczyński, Elisa Postinghel, Filip Rupniewski
We address the problem of the additivity of the tensor rank. That is for two independent tensors we study if the rank of their direct sum is equal to the sum of their individual ra…