Bound for the largest singular value of nonnegative rectangular tensors

Jun He; Yan-Min Liu; Hua Ke; Jun-Kang Tian; Xiang Li

Bound for the largest singular value of nonnegative rectangular tensors

Jun He; Yan-Min Liu; Hua Ke; Jun-Kang Tian; Xiang Li

Open Mathematics (2016)

Volume: 14, Issue: 1, page 761-766
ISSN: 2391-5455

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Abstract

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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.

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Jun He, et al. "Bound for the largest singular value of nonnegative rectangular tensors." Open Mathematics 14.1 (2016): 761-766. <http://eudml.org/doc/287066>.

@article{JunHe2016,
abstract = {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.},
author = {Jun He, Yan-Min Liu, Hua Ke, Jun-Kang Tian, Xiang Li},
journal = {Open Mathematics},
keywords = {Bound; Rectangular tensor; Singular value; bound; largest singular value; nonnegative rectangular tensors},
language = {eng},
number = {1},
pages = {761-766},
title = {Bound for the largest singular value of nonnegative rectangular tensors},
url = {http://eudml.org/doc/287066},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Jun He
AU - Yan-Min Liu
AU - Hua Ke
AU - Jun-Kang Tian
AU - Xiang Li
TI - Bound for the largest singular value of nonnegative rectangular tensors
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 761
EP - 766
AB - 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.
LA - eng
KW - Bound; Rectangular tensor; Singular value; bound; largest singular value; nonnegative rectangular tensors
UR - http://eudml.org/doc/287066
ER -

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