A new S-type upper bound for the largest singular value of nonnegative rectangular tensors

Abstract

Abstract By breaking N = { 1 , 2 , … , n } $N=\{1,2,\ldots,n\}$ into disjoint subsets S and its complement, a new S-type upper bound for the largest singular value of nonnegative rectangular tensors is given and proved to be better than some existing ones. Numerical examples are given to verify the theoretical results.

Keywords

• nonnegative tensor
• rectangular tensor
• singular value