In this paper we introduce a new method to produce lower bounds for the Waring rank of symmetric tensors. We also introduce the notion of ecomputability and we use it to prove that Strassen’s conjecture holds in infinitely many new cases.
Symmetric tensors: rank, Strassen's conjecture and e-computability
CATALISANO, MARIA VIRGINIA;GERAMITA, ANTHONY VITO;
2018-01-01
Abstract
In this paper we introduce a new method to produce lower bounds for the Waring rank of symmetric tensors. We also introduce the notion of ecomputability and we use it to prove that Strassen’s conjecture holds in infinitely many new cases.
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