The rank of a 2 × 2 × 2 tensor

DOI10.1080/03081087.2010.538923zbMath1225.15024OpenAlexW2067736657MaRDI QIDQ3090739

Carla D. Martin

Publication date: 1 September 2011

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

Full work available at URL: https://doi.org/10.1080/03081087.2010.538923

zbMATH Keywords

singular value decompositioneigenvalue pairstensor decompositiontensor rankgeneralized Schur decompositionmulti-linear algebra

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Eigenvalues, singular values, and eigenvectors (15A18) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (5)

Rank classification of tensors over ⋮ Cayley's hyperdeterminant: A combinatorial approach via representation theory ⋮ On the hyperdeterminant for 2×2×3 arrays ⋮ The maximum rank of 2 × ⋯ × 2 tensors over 𝔽₂ ⋮ A note on the ranks of 2 × 2 × 2 and 2 × 2 × 2 × 2 tensors

Cites Work

• Unnamed Item
• Tensor Decompositions and Applications
• Handwritten digit classification using higher order singular value decomposition
• Kruskal's polynomial for \(2 \times{}2 \times{}2\) arrays and a generalization to \(2 \times{}n \times{}n\) arrays

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