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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| Published in | Linear & multilinear algebra Vol. 73; no. 3; pp. 525 - 535 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Abingdon
Taylor & Francis
11.02.2025
Taylor & Francis Ltd |
| Subjects | |
| Online Access | Get full text |
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| Abstract | 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. |
|---|---|
| AbstractList | 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. |
| Author | Chang, Chia-Yu |
| Author_xml | – sequence: 1 givenname: Chia-Yu surname: Chang fullname: Chang, Chia-Yu email: chiayu@tamu.edu organization: Texas A&M University |
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| Cites_doi | 10.1007/bf02165411 10.4086/toc.2021.v017a002 10.1007/978-3-662-04958-7 10.1016/0024-3795(83)90041-1 |
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| Copyright | 2024 Informa UK Limited, trading as Taylor & Francis Group 2024 2024 Informa UK Limited, trading as Taylor & Francis Group |
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| DOI | 10.1080/03081087.2024.2352456 |
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| EISSN | 1563-5139 |
| EndPage | 535 |
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| Snippet | 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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| StartPage | 525 |
| SubjectTerms | Border subrank invariant theory Lower bounds matrix multiplication complexity nullcone Strassen's Laser method tensor Tensors |
| Title | Maximal border subrank tensors |
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