Journal title
Linear algebra and its applications
DOI
10.1016/j.laa.2018.01.019
Volume
544
Last updated
2022-12-17T08:40:57.827+00:00
Page
350-369
Abstract
A binary tensor consists of 2 n entries arranged into hypercube format 2 × 2 × ⋯ × 2. There are n ways to flatten such a tensor into a matrix of size 2 × 2 n-1. For each flattening, M, we take the determinant of its Gram matrix, det(MMT ). We consider the map that sends a tensor to its n-tuple of Gram determinants. We propose a semi-algebraic characterization of the image of this map. This offers an answer to a question raised by Hackbusch and Uschmajew concerning the higher-order singular values of tensors.
Symplectic ID
1029934
Submitted to ORA
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Publication type
Journal Article
Publication date
May 2018