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Remarks On The Symmetric Rank of Symmetric Tensors by jkljlj is a document available to read on EtoBox.

This paper discusses sufficient conditions for a symmetric tensor to have its symmetric rank equal to its rank. Specifically, it establishes that if the rank of the tensor is at most one greater than the rank of its matrix unfolding, then the symmetric rank equals the rank. The results are particularly applicable for symmetric tensors of specific dimensions and ranks, and the paper also touches on related conjectures regarding border ranks and best approximations of symmetric tensors.

Author

jkljlj

Language

EN