Nontriviality of equations and explicit tensors in Cm⊗Cm⊗Cm of border rank at least 2m−2-Reference-Cited by-同舟云学术

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Nontriviality of equations and explicit tensors in Cm⊗Cm⊗Cm of border rank at least 2m−2

Published:2015-08 Issue:8 Volume:219 Page:3677-3684
ISSN:0022-4049
Container-title:Journal of Pure and Applied Algebra
language:en
Short-container-title:Journal of Pure and Applied Algebra

Author:

Landsberg J.M.

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference11 articles.

1. Tensor rank: some lower and upper bounds;Alexeev,2011

2. Algebraic Complexity Theory;Bürgisser,1997

3. A lower bound for the border rank of a bilinear map;Griesser;Calcolo,1986

4. New lower bounds for the rank of matrix multiplication;Landsberg;SIAM J. Comput.,2014

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Toward Jordan decompositions for tensors;Journal of Computational Science;2024-10

2. More Barriers for Rank Methods, via a "numeric to Symbolic" Transfer;2019 IEEE 60th Annual Symposium on Foundations of Computer Science (FOCS);2019-11

3. Explicit tensors of border rank at least 2d−2 in Kd ⊗ Kd ⊗ Kd in arbitrary characteristic;Linear and Multilinear Algebra;2018-06-25

4. On non-commutative rank and tensor rank;Linear and Multilinear Algebra;2017-06-06

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