A conjecture on the primitive degree of Tensors

Lihua You; Pingzhi Yuany; Zilong He

arxiv: 1310.8461 · v1 · pith:25G4TFR2new · submitted 2013-10-31 · 🧮 math.CO

A conjecture on the primitive degree of Tensors

Pingzhi Yuany , Zilong He , Lihua You This is my paper

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keywords primitiveconjecturedegreeboundconfirmsdimensionnonnegativeorder

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In this paper, we prove: Let A be a nonnegative primitive tensor with order m and dimension n. Then its primitive degree R(A)\leq (n-1)^2+1, and the upper bound is sharp. This confirms a conjecture of Shao [7].

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A conjecture on the primitive degree of Tensors

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