Border rank of m\(\times n\times (mn-q)\) tensors

DOI10.1016/0024-3795(86)90291-0zbMath0598.15026OpenAlexW2020404923MaRDI QIDQ1079634

Dario Andrea Bini

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90291-0

zbMATH Keywords

bilinear formstensor rankborder rank

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Quadratic and bilinear forms, inner products (15A63) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Unnamed Item, The border rank of the multiplication of $2\times 2$ matrices is seven, Unfoldings and the rank-one approximation of the tensor

Cites Work

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• On the maximal multiplicative complexity of a family of bilinear forms
• Rank and optimal computation of generic tensors
• Typical tensorial rank
• On the optimal evaluation of a set of bilinear forms
• The Ranks of $m \times n \times (mn - 2)$ Tensors
• Optimal Evaluation of Pairs of Bilinear Forms
• Approximate Solutions for the Bilinear Form Computational Problem
• Partial and Total Matrix Multiplication