On Strassen's rank additivity for small three-way tensors

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 ranks. A positive answer to this problem was previously known as Strassen's conjecture until recent counterexamples...

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Bibliographic Details
Main Authors: Jarosław Buczyński, Elisa Postinghel, Filip Rupniewski
Format: Default Article
Published: 2020
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Online Access:https://hdl.handle.net/2134/9249914.v1
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