New bounds for the minimum eigenvalue of 𝓜-tensors
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). Fina...
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De Gruyter
2017-03-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2017-0018 |
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doaj-2d4f323fc21d4ba893688e4a187bd98e2021-09-06T19:20:08ZengDe GruyterOpen Mathematics2391-54552017-03-0115129630310.1515/math-2017-0018math-2017-0018New bounds for the minimum eigenvalue of 𝓜-tensorsZhao Jianxing0Sang Caili1College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang550025, ChinaCollege of Data Science and Information Engineering, Guizhou Minzu University, Guiyang550025, ChinaA 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.https://doi.org/10.1515/math-2017-0018𝓜-tensorsnonnegative tensorsminimum eigenvalue15a1815a4215a69 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhao Jianxing Sang Caili |
| spellingShingle |
Zhao Jianxing Sang Caili New bounds for the minimum eigenvalue of 𝓜-tensors Open Mathematics 𝓜-tensors nonnegative tensors minimum eigenvalue 15a18 15a42 15a69 |
| author_facet |
Zhao Jianxing Sang Caili |
| author_sort |
Zhao Jianxing |
| title |
New bounds for the minimum eigenvalue of 𝓜-tensors |
| title_short |
New bounds for the minimum eigenvalue of 𝓜-tensors |
| title_full |
New bounds for the minimum eigenvalue of 𝓜-tensors |
| title_fullStr |
New bounds for the minimum eigenvalue of 𝓜-tensors |
| title_full_unstemmed |
New bounds for the minimum eigenvalue of 𝓜-tensors |
| title_sort |
new bounds for the minimum eigenvalue of 𝓜-tensors |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2017-03-01 |
| description |
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. |
| topic |
𝓜-tensors nonnegative tensors minimum eigenvalue 15a18 15a42 15a69 |
| url |
https://doi.org/10.1515/math-2017-0018 |
| work_keys_str_mv |
AT zhaojianxing newboundsfortheminimumeigenvalueofmtensors AT sangcaili newboundsfortheminimumeigenvalueofmtensors |
| _version_ |
1717777260396675072 |