A new bound for the spectral radius of nonnegative tensors
Abstract By estimating the ratio of the smallest component and the largest component of a Perron vector, we provide a new bound for the spectral radius of a nonnegative tensor. And it is proved that the proposed result improves the bound in (Li and Ng in Numer. Math. 130(2):315-335, 2015).
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1362-7 |
| _version_ | 1818416558301511680 |
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| author | Suhua Li Chaoqian Li Yaotang Li |
| author_facet | Suhua Li Chaoqian Li Yaotang Li |
| author_sort | Suhua Li |
| collection | DOAJ |
| description | Abstract By estimating the ratio of the smallest component and the largest component of a Perron vector, we provide a new bound for the spectral radius of a nonnegative tensor. And it is proved that the proposed result improves the bound in (Li and Ng in Numer. Math. 130(2):315-335, 2015). |
| first_indexed | 2024-12-14T11:52:48Z |
| format | Article |
| id | doaj.art-711e65fa135e44c9a13af4631d546e57 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-14T11:52:48Z |
| publishDate | 2017-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-711e65fa135e44c9a13af4631d546e572022-12-21T23:02:14ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-04-012017111210.1186/s13660-017-1362-7A new bound for the spectral radius of nonnegative tensorsSuhua Li0Chaoqian Li1Yaotang Li2School of Mathematics and Statistics, Yunnan UniversitySchool of Mathematics and Statistics, Yunnan UniversitySchool of Mathematics and Statistics, Yunnan UniversityAbstract By estimating the ratio of the smallest component and the largest component of a Perron vector, we provide a new bound for the spectral radius of a nonnegative tensor. And it is proved that the proposed result improves the bound in (Li and Ng in Numer. Math. 130(2):315-335, 2015).http://link.springer.com/article/10.1186/s13660-017-1362-7nonnegative tensorweakly irreduciblespectral radiusPerron eigenpair |
| spellingShingle | Suhua Li Chaoqian Li Yaotang Li A new bound for the spectral radius of nonnegative tensors Journal of Inequalities and Applications nonnegative tensor weakly irreducible spectral radius Perron eigenpair |
| title | A new bound for the spectral radius of nonnegative tensors |
| title_full | A new bound for the spectral radius of nonnegative tensors |
| title_fullStr | A new bound for the spectral radius of nonnegative tensors |
| title_full_unstemmed | A new bound for the spectral radius of nonnegative tensors |
| title_short | A new bound for the spectral radius of nonnegative tensors |
| title_sort | new bound for the spectral radius of nonnegative tensors |
| topic | nonnegative tensor weakly irreducible spectral radius Perron eigenpair |
| url | http://link.springer.com/article/10.1186/s13660-017-1362-7 |
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