Title: Rank decomposition and symmetric rank decomposition over arbitrary fields
Abstract: We give a necessary and sufficient condition for symmetric tensors to have symmetric rank decompositions and give some further results on the Comon's Conjecture (i.e. the rank and symmetric rank agree for a symmetric tensor). In particular, as an application, we prove that if an m-order 2-dimensional symmetric tensor has a symmetric rank decomposition, then its symmetric rank equals its rank or its rank plus one.
Publication Year: 2021
Publication Date: 2021-05-31
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 5
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