New bounds for the minimum eigenvalue of 𝓜-tensors
Open Mathematics (2017)
- Volume: 15, Issue: 1, page 296-303
- ISSN: 2391-5455
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topJianxing Zhao, and Caili Sang. "New bounds for the minimum eigenvalue of 𝓜-tensors." Open Mathematics 15.1 (2017): 296-303. <http://eudml.org/doc/288050>.
@article{JianxingZhao2017,
abstract = {A new lower bound and a new upper bound for the minimum eigenvalue of an 𝓜-tensor are obtained. It is proved that the new lower and upper bounds improve the corresponding bounds provided by He and Huang (J. Inequal. Appl., 2014, 2014, 114) and Zhao and Sang (J. Inequal. Appl., 2016, 2016, 268). Finally, two numerical examples are given to verify the theoretical results.},
author = {Jianxing Zhao, Caili Sang},
journal = {Open Mathematics},
keywords = {𝓜-tensors; Nonnegative tensors; Minimum eigenvalue; $\mathcal \{M\}$-tensors; nonnegative tensors; minimum eigenvalue},
language = {eng},
number = {1},
pages = {296-303},
title = {New bounds for the minimum eigenvalue of 𝓜-tensors},
url = {http://eudml.org/doc/288050},
volume = {15},
year = {2017},
}
TY - JOUR
AU - Jianxing Zhao
AU - Caili Sang
TI - New bounds for the minimum eigenvalue of 𝓜-tensors
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 296
EP - 303
AB - A new lower bound and a new upper bound for the minimum eigenvalue of an 𝓜-tensor are obtained. It is proved that the new lower and upper bounds improve the corresponding bounds provided by He and Huang (J. Inequal. Appl., 2014, 2014, 114) and Zhao and Sang (J. Inequal. Appl., 2016, 2016, 268). Finally, two numerical examples are given to verify the theoretical results.
LA - eng
KW - 𝓜-tensors; Nonnegative tensors; Minimum eigenvalue; $\mathcal {M}$-tensors; nonnegative tensors; minimum eigenvalue
UR - http://eudml.org/doc/288050
ER -
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