A Counterexample to Comon's Conjecture
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Publication:4554589
DOI10.1137/17M1131970zbMath1401.15004arXiv1705.08740WikidataQ122941394 ScholiaQ122941394MaRDI QIDQ4554589
Publication date: 9 November 2018
Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.08740
Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (31)
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Uses Software
Cites Work
- Tensor Decompositions and Applications
- Eigenvectors of tensors and algorithms for Waring decomposition
- Decomposition of homogeneous polynomials with low rank
- Symmetric tensor decomposition
- Computing symmetric rank for symmetric tensors
- Blind identification of under-determined mixtures based on the characteristic function
- Ranks of tensors and a generalization of secant varieties
- Abelian tensors
- Remarks on the Symmetric Rank of Symmetric Tensors
- Comon's Conjecture, Rank Decomposition, and Symmetric Rank Decomposition of Symmetric Tensors
- Determinantal equations for secant varieties and the Eisenbud-Koh-Stillman conjecture
- Tensor ranks on tangent developable of Segre varieties
- A Multilinear Singular Value Decomposition
- Symmetric Tensors and Symmetric Tensor Rank
- On the Geometry of Border Rank Decompositions for Matrix Multiplication and Other Tensors with Symmetry
- Most Tensor Problems Are NP-Hard
- On Minimizing the Number of Multiplications Necessary for Matrix Multiplication
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