On the exponent set of nonnegative primitive tensors

preprint2014arXivOpen access

Abstract

In this paper, we present a necessary and sufficient condition for a nonnegative tensor to be a primitive one, show that the exponent set of nonnegative primitive tensors with order m(≥n)m(\ge n) and dimension nn is {k∣1≤k≤(n−1)2+1}.\{k| 1\le k\le (n-1)^2+1\}.

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