A fast algorithm for the spectral radii of weakly reducible nonnegative tensors
Copyright © 2017 John Wiley & Sons, Ltd. In this paper, we propose a fast algorithm for computing the spectral radii of symmetric nonnegative tensors. In particular, by this proposed algorithm, we are able to obtain the spectral radii of weakly reducible symmetric nonnegative tensors without r...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
John Wiley & Sons
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/66329 |
| _version_ | 1848761296691920896 |
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| author | Zhou, Guanglu Wang, G. Qi, L. Alqahtani, M. |
| author_facet | Zhou, Guanglu Wang, G. Qi, L. Alqahtani, M. |
| author_sort | Zhou, Guanglu |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Copyright © 2017 John Wiley & Sons, Ltd. In this paper, we propose a fast algorithm for computing the spectral radii of symmetric nonnegative tensors. In particular, by this proposed algorithm, we are able to obtain the spectral radii of weakly reducible symmetric nonnegative tensors without requiring the partition of the tensors. As we know, it is very costly to determine the partition for large-sized weakly reducible tensors. Numerical results are reported to show that the proposed algorithm is efficient and also able to compute the spectral radii of large-sized tensors. As an application, we present an algorithm for testing the positive definiteness of Z-tensors. By this algorithm, it is guaranteed to determine the positive definiteness for any Z-tensor. |
| first_indexed | 2025-11-14T10:29:25Z |
| format | Journal Article |
| id | curtin-20.500.11937-66329 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:29:25Z |
| publishDate | 2018 |
| publisher | John Wiley & Sons |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-663292018-04-30T02:48:32Z A fast algorithm for the spectral radii of weakly reducible nonnegative tensors Zhou, Guanglu Wang, G. Qi, L. Alqahtani, M. Copyright © 2017 John Wiley & Sons, Ltd. In this paper, we propose a fast algorithm for computing the spectral radii of symmetric nonnegative tensors. In particular, by this proposed algorithm, we are able to obtain the spectral radii of weakly reducible symmetric nonnegative tensors without requiring the partition of the tensors. As we know, it is very costly to determine the partition for large-sized weakly reducible tensors. Numerical results are reported to show that the proposed algorithm is efficient and also able to compute the spectral radii of large-sized tensors. As an application, we present an algorithm for testing the positive definiteness of Z-tensors. By this algorithm, it is guaranteed to determine the positive definiteness for any Z-tensor. 2018 Journal Article http://hdl.handle.net/20.500.11937/66329 10.1002/nla.2134 John Wiley & Sons restricted |
| spellingShingle | Zhou, Guanglu Wang, G. Qi, L. Alqahtani, M. A fast algorithm for the spectral radii of weakly reducible nonnegative tensors |
| title | A fast algorithm for the spectral radii of weakly reducible nonnegative tensors |
| title_full | A fast algorithm for the spectral radii of weakly reducible nonnegative tensors |
| title_fullStr | A fast algorithm for the spectral radii of weakly reducible nonnegative tensors |
| title_full_unstemmed | A fast algorithm for the spectral radii of weakly reducible nonnegative tensors |
| title_short | A fast algorithm for the spectral radii of weakly reducible nonnegative tensors |
| title_sort | fast algorithm for the spectral radii of weakly reducible nonnegative tensors |
| url | http://hdl.handle.net/20.500.11937/66329 |