Maximal border subrank tensors

We prove a lower bound on the dimension of the set of maximal border subrank tensors. This is the first such bound of its type.

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Bibliographic Details
Published inLinear & multilinear algebra Vol. 73; no. 3; pp. 525 - 535
Main Author Chang, Chia-Yu
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 11.02.2025
Taylor & Francis Ltd
Subjects
Border subrank
invariant theory
Lower bounds
matrix multiplication complexity
nullcone
Strassen's Laser method
tensor
Tensors
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Summary:We prove a lower bound on the dimension of the set of maximal border subrank tensors. This is the first such bound of its type.
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content type line 14
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2024.2352456