Open AccessA Counterexample to Comon's Conjecture
Author(s) -
Yaroslav Shitov
Publication year - 2018
Publication title -
siam journal on applied algebra and geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.052
H-Index - 15
ISSN - 2470-6566
DOI - 10.1137/17m1131970
Subject(s) - counterexample , mathematics , conjecture , rank (graph theory) , combinatorics
We present an example of a symmetric tensor of size $800\times 800\times 800$ which can be written a sum of $903$ simple tensors with complex entries but not as a sum of $903$ symmetric simple tensors.
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