  A new S-type singular value inclusion set for rectangular tensors is given
and proved to be tighter than that in [Sang C.L., An S-type singular value
inclusion set for rectangular tensors, J. Inequal. Appl. 2017: 141, 2017].
Based on this set, new bounds for the largest singular value of nonnegative
rectangular tensors are obtained and proved to be better than some existing
results. Compared with the results in the paper mentioned above, the advantage
of the new results is that, under the same computations, we can obtain a
tighter singular value inclusion set for rectangular tensors and sharper bounds
for the largest singular value of nonnegative rectangular tensors. Finally, a
numerical example is given to verify the theoretical results.
