Skew-Symmetric Tensor Decomposition

Arrondo Enrique,Bernardi Alessandra,Marques Pedro Macias,Mourrain Bernard

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS（2021）

Cited 10|Views16

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Abstract

We introduce the "skew apolarity lemma" and we use it to give algorithms for the skew-symmetric rank and the decompositions of tensors in boolean AND dV C with d <= 3 and dim VC <= 8. New algorithms to compute the rank and a minimal decomposition of a tritensor are also presented.

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Key words

Skew-symmetric rank, apolarity, tensor decomposition

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