An S-type upper bound for the largest singular value of a nonnegative rectangular tensor is given by breaking N = {1, 2, … n} into disjoint subsets S and its complement. It is shown that the new upper bound is smaller than that provided by Yang and Yang (2011). Numerical examples are given to verify the theoretical results.
@article{bwmeta1.element.doi-10_1515_math-2016-0085, author = {Jianxing Zhao and Caili Sang}, title = {AnS-type upper bound for the largest singular value of nonnegative rectangular tensors}, journal = {Open Mathematics}, volume = {14}, year = {2016}, pages = {925-933}, zbl = {1351.15006}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0085} }
Jianxing Zhao; Caili Sang. AnS-type upper bound for the largest singular value of nonnegative rectangular tensors. Open Mathematics, Tome 14 (2016) pp. 925-933. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0085/