A conjecture on the primitive degree of tensors

作者：Yuan Pingzhi^*; He Zilong; You Lihua

来源：Linear Algebra and Its Applications, 2014, 450: 175-185.

DOI：10.1016/j.laa.2014.03.006

• Tensor
• Product
• Primitive tensor
• Primitive degree

In this paper, we prove the following: Let A be a nonnegative primitive tensor with order m and dimension n. Then its primitive degree gamma(A) <= (n - 1)(2) + 1, and the upper bound is sharp. This confirms a conjecture of Shao [5].

• 单位
  华南师范大学