Typical ranks of certain 3-tensors and absolutely full column rank tensors

DOI10.1080/03081087.2017.1292994zbMath1386.15050arXiv1103.0154OpenAlexW2963717321MaRDI QIDQ4640059

Toshio Sakata, Toshio Sumi, Mitsuhiro Miyazaki

Publication date: 16 May 2018

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.0154

zbMATH Keywords

tensor algebratensor ranktypical rank3-tensor

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Numerical computation of determinants (65F40) Multilinear algebra, tensor calculus (15A69)

Related Items (2)

Unnamed Item ⋮ Typical ranks of semi-tall real 3-tensors

Cites Work

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• Simplicity and typical rank results for three-way arrays
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• Simplicity of core arrays in three-way principal component analysis and the typical rank of \(p\times q\times 2\) arrays
• Typical ranks for \(m\times n\times (m-1)n\) tensors with \(m \leq n\)
• The typical rank of tall three-way arrays
• On the ideals of secant varieties to certain rational varieties
• On maximum, typical and generic ranks

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