A conjecture on the primitive degree of Tensors

Abstract

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].

8 pages

References in corpus (1)

• Primitive tensors and convergence of an iterative process for the eigenvalues of a primitive tensor