Structure-Preserving Low Multilinear Rank Approximation of Antisymmetric Tensors
Structure-Preserving Low Multilinear Rank Approximation of Antisymmetric Tensors
This paper is concerned with low multilinear rank approximations to antisymmetric tensors, that is, multivariate arrays for which the entries change sign when permuting pairs of indices. We show which ranks can be attained by an antisymmetric tensor and discuss the adaption of existing approximation algorithms to preserve antisymmetry, most …