Generic and typical ranks of multi-way arrays

DOI10.1016/j.laa.2009.01.014zbMath1168.15309OpenAlexW2102950139MaRDI QIDQ1020932

Jos M. F. ten Berge, Joséphine Castaing, Pierre Comon, Lieven De Lathauwer

Publication date: 4 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.01.014

zbMATH Keywords

factor analysiscanonical decompositionparafactensor rankmulti-way arraysgeneric rankrandom tensor

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Hermitian, skew-Hermitian, and related matrices (15B57) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03) Tensor products in functional analysis (46M05)

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Uses Software

• PARAFAC

Cites Work

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• A Multilinear Singular Value Decomposition
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• A Link between the Canonical Decomposition in Multilinear Algebra and Simultaneous Matrix Diagonalization
• Symmetric Tensors and Symmetric Tensor Rank
• Khatri-Rao space-time codes
• Algorithms for Numerical Analysis in High Dimensions

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