In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in “Singular values of nonnegative rectangular tensors”, Front. Math. China, 2011, 6, 363-378.
@article{bwmeta1.element.doi-10_1515_math-2016-0068, author = {Jun He and Yan-Min Liu and Hua Ke and Jun-Kang Tian and Xiang Li}, title = {Bound for the largest singular value of nonnegative rectangular tensors}, journal = {Open Mathematics}, volume = {14}, year = {2016}, pages = {761-766}, zbl = {1352.15021}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0068} }
Jun He; Yan-Min Liu; Hua Ke; Jun-Kang Tian; Xiang Li. Bound for the largest singular value of nonnegative rectangular tensors. Open Mathematics, Tome 14 (2016) pp. 761-766. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0068/