We introduce the “skew apolarity lemma” and we use it to give algorithms for the skew-symmetric rank and the decompositions of tensors in $wedge^dV_C$ with d≤3 and dim(V_C)≤8. New algorithms to compute the rank and a minimal decomposition of a tritensor are also presented.
SKEW-SYMMETRIC TENSOR DECOMPOSITION / Esteban Arrondo, Enrique; Bernardi, Alessandra; Macias Marques, Pedro; Mourrain, Bernardi. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 23:2(2021), pp. 195006101-195006129. [10.1142/S0219199719500615]
SKEW-SYMMETRIC TENSOR DECOMPOSITION
Alessandra Bernardi;
2021-01-01
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 $wedge^dV_C$ with d≤3 and dim(V_C)≤8. New algorithms to compute the rank and a minimal decomposition of a tritensor are also presented.File in questo prodotto:
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