Z-Eigenvalue inclusion theorems for tensors
In this paper, we establish Z-eigenvalue inclusion theorems for general tensors, which reveal some crucial differences between Z-eigenvalues and H-eigenvalues. As an application, we obtain upper bounds for the largest Z-eigenvalue of a weakly symmetric nonnegative tensor, which are sharper than exis...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
American Institute of Mathematical Sciences
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/49854 |
| _version_ | 1848758331631468544 |
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| author | Wang, G. Zhou, Guanglu Caccetta, L. |
| author_facet | Wang, G. Zhou, Guanglu Caccetta, L. |
| author_sort | Wang, G. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we establish Z-eigenvalue inclusion theorems for general tensors, which reveal some crucial differences between Z-eigenvalues and H-eigenvalues. As an application, we obtain upper bounds for the largest Z-eigenvalue of a weakly symmetric nonnegative tensor, which are sharper than existing upper bounds. |
| first_indexed | 2025-11-14T09:42:18Z |
| format | Journal Article |
| id | curtin-20.500.11937-49854 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:42:18Z |
| publishDate | 2017 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-498542018-01-04T03:23:48Z Z-Eigenvalue inclusion theorems for tensors Wang, G. Zhou, Guanglu Caccetta, L. In this paper, we establish Z-eigenvalue inclusion theorems for general tensors, which reveal some crucial differences between Z-eigenvalues and H-eigenvalues. As an application, we obtain upper bounds for the largest Z-eigenvalue of a weakly symmetric nonnegative tensor, which are sharper than existing upper bounds. 2017 Journal Article http://hdl.handle.net/20.500.11937/49854 10.3934/dcdsb.2017009 American Institute of Mathematical Sciences fulltext |
| spellingShingle | Wang, G. Zhou, Guanglu Caccetta, L. Z-Eigenvalue inclusion theorems for tensors |
| title | Z-Eigenvalue inclusion theorems for tensors |
| title_full | Z-Eigenvalue inclusion theorems for tensors |
| title_fullStr | Z-Eigenvalue inclusion theorems for tensors |
| title_full_unstemmed | Z-Eigenvalue inclusion theorems for tensors |
| title_short | Z-Eigenvalue inclusion theorems for tensors |
| title_sort | z-eigenvalue inclusion theorems for tensors |
| url | http://hdl.handle.net/20.500.11937/49854 |