Maximal rank of an element of a tensor product

DOI10.1016/0024-3795(93)90487-9zbMath0773.15013OpenAlexW2047072293MaRDI QIDQ2365654

C. A. Rowley, R. A. Bailey

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1016/0024-3795(93)90487-9

zbMATH Keywords

tensor productmaximal-rank function

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (3)

Maximal Rank of ${m}\times{n}\times 2$ Tensors over Arbitrary Fields ⋮ A graphical tool for three-factor experiments with one observation per cell ⋮ Some Löwner partial orders of Schur complements and Kronecker products of matrices

Cites Work

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• On the maximal multiplicative complexity of a family of bilinear forms
• On the maximum rank of a tensor product
• Typical tensorial rank
• Bounds on the ranks of some 3-tensors
• Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
• The Ranks of $m \times n \times (mn - 2)$ Tensors
• Optimal Evaluation of Pairs of Bilinear Forms
• Decomposable Tensors as a Quadratic Variety
• Multilinear Algebra

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