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Examples on the Non-Uniqueness of the Rank 1 Tensor Decomposition of Rank 4 Tensors

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We discuss the non-uniqueness of the rank 1 tensor decomposition for rank 4 tensors of format m1×⋯×mk, k≥3. We discuss several classes of examples and provide a complete classification if… Click to show full abstract

We discuss the non-uniqueness of the rank 1 tensor decomposition for rank 4 tensors of format m1×⋯×mk, k≥3. We discuss several classes of examples and provide a complete classification if m1=m2=4.

Keywords: non uniqueness; rank tensor; decomposition rank; tensor decomposition; uniqueness rank; rank

Journal Title: Symmetry
Year Published: 2022

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