Skew-Symmetric Tensor Decomposition

Abstract : We introduce the ``skew apolarity lemma" and we use it to give algorithms for the skew-symmetric rank and the decomposition of tensors in {$\bigwedge^dV_{\mathbb{C}}$ with $d\leq 3$ and $\dim V_{\mathbb{C}} \leq 8$}. New algorithms to compute the rank and a minimal decomposition of a tri-tensor are also presented.
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https://hal.inria.fr/hal-01940005
Contributor : Bernard Mourrain <>
Submitted on : Thursday, November 29, 2018 - 9:07:45 PM
Last modification on : Friday, April 19, 2019 - 4:55:19 PM

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  • HAL Id : hal-01940005, version 1
  • ARXIV : 1811.12725

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Enrique Arrondo, Alessandra Bernardi, Pedro Macias Marques, Bernard Mourrain. Skew-Symmetric Tensor Decomposition. 2018. ⟨hal-01940005⟩

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