Typical ranks for \(m\times n\times (m-1)n\) tensors with \(m \leq n\)
type: Item
instance of: scholarly article
title: Typical ranks for \(m\times n\times (m-1)n\) tensors with \(m \leq n\)
zbMATH Open document ID: 1260.15042
author: Toshio Sumi
author: Toshio Sakata
author: Mitsuhiro Miyazaki
published in: Linear Algebra and its Applications
publication date: 2013-01-16T00:00:00Z
review text: The authors show that the set of \(m\times n\times (m-1)n\) tensors has two typical ranks \((m-1)n\), \((m-1)n+1\) if \(m\) is not bigger than \(n\) and the value of the Hurwitz-Radon function of \(n\).
Mathematics Subject Classification ID: 15A69
Mathematics Subject Classification ID: 15A72
Mathematics Subject Classification ID: 15A03
zbMATH DE Number: 6125899
zbMATH Keywords: typical rank
zbMATH Keywords: tensor
zbMATH Keywords: bilinear map
zbMATH Keywords: orthogonal design
zbMATH Keywords: Hurwitz-Radon function
reviewed by: Grozio Stanilov
MaRDI profile type: Publication
full work available at URL: j.laa.2011.08.009
OpenAlex ID: W159447128
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DOI: 10.1016/J.LAA.2011.08.009
description: scientific article; zbMATH DE number 6125899