A new Z-eigenvalue localization set for tensors
Abstract A new Z-eigenvalue localization set for tensors is given and proved to be tighter than those in the work of Wang et al. (Discrete Contin. Dyn. Syst., Ser. B 22(1):187-198, 2017). Based on this set, a sharper upper bound for the Z-spectral radius of weakly symmetric nonnegative tensors is ob...
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2017-04-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1363-6 |
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doaj-832a0eb9e65744a0b28477477f43461f2020-11-24T22:09:13ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-04-01201711910.1186/s13660-017-1363-6A new Z-eigenvalue localization set for tensorsJianxing Zhao0College of Data Science and Information Engineering, Guizhou Minzu UniversityAbstract A new Z-eigenvalue localization set for tensors is given and proved to be tighter than those in the work of Wang et al. (Discrete Contin. Dyn. Syst., Ser. B 22(1):187-198, 2017). Based on this set, a sharper upper bound for the Z-spectral radius of weakly symmetric nonnegative tensors is obtained. Finally, numerical examples are given to verify the theoretical results.http://link.springer.com/article/10.1186/s13660-017-1363-6Z-eigenvaluelocalization setnonnegative tensorsspectral radiusweakly symmetric |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jianxing Zhao |
| spellingShingle |
Jianxing Zhao A new Z-eigenvalue localization set for tensors Journal of Inequalities and Applications Z-eigenvalue localization set nonnegative tensors spectral radius weakly symmetric |
| author_facet |
Jianxing Zhao |
| author_sort |
Jianxing Zhao |
| title |
A new Z-eigenvalue localization set for tensors |
| title_short |
A new Z-eigenvalue localization set for tensors |
| title_full |
A new Z-eigenvalue localization set for tensors |
| title_fullStr |
A new Z-eigenvalue localization set for tensors |
| title_full_unstemmed |
A new Z-eigenvalue localization set for tensors |
| title_sort |
new z-eigenvalue localization set for tensors |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2017-04-01 |
| description |
Abstract A new Z-eigenvalue localization set for tensors is given and proved to be tighter than those in the work of Wang et al. (Discrete Contin. Dyn. Syst., Ser. B 22(1):187-198, 2017). Based on this set, a sharper upper bound for the Z-spectral radius of weakly symmetric nonnegative tensors is obtained. Finally, numerical examples are given to verify the theoretical results. |
| topic |
Z-eigenvalue localization set nonnegative tensors spectral radius weakly symmetric |
| url |
http://link.springer.com/article/10.1186/s13660-017-1363-6 |
| work_keys_str_mv |
AT jianxingzhao anewzeigenvaluelocalizationsetfortensors AT jianxingzhao newzeigenvaluelocalizationsetfortensors |
| _version_ |
1725812985244418048 |