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- W1911768611 abstract "Let 3 ≤ m ≤ n. We study typical ranks of m× n×((m− 1)n− 1) tensors over the real number field. The number (m− 1)n− 1 is a minimal typical rank of m× n×((m− 1)n− 1) tensors over the real number field. We show that a typical rank of m× n×((m− 1)n− 1) tensors over the real number field is less than or equal to (m− 1)n and in particular, m× n×((m− 1)n− 1) tensors over the real number field has two typical ranks (m− 1)n− 1,(m− 1)n if m ≤ ρ(n), where ρ is the HurwitzRadon function defined as ρ(n) = 2 b + 8c for nonnegative integers a, b, c such that n = (2a+ 1)2 b+4c and 0 ≤ b < 4." @default.
- W1911768611 created "2016-06-24" @default.
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- W1911768611 date "2013-04-26" @default.
- W1911768611 modified "2023-09-27" @default.
- W1911768611 title "Upper bound of typical ranks of m x n x ((m-1)n-1) tensors over the real number field" @default.
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