Sharp Brauer-Type Eigenvalue Inclusion Theorems for Tensors
In this paper, some new Brauer-type eigenvalue inclusion theroems are established for general tenors. We show that new eigenvalue inclusion sets are sharper than classical results. As applications obtain bounds for the largest eigenvalue of a nonnegative tensor, which achieve tighter bounds than exi...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Yokohama Publishers
2018
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| Online Access: | http://www.ybook.co.jp/online2/pjov14-2.html http://hdl.handle.net/20.500.11937/73142 |
| _version_ | 1848762935204118528 |
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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, some new Brauer-type eigenvalue inclusion theroems are established for general tenors. We show that new eigenvalue inclusion sets are sharper than classical results. As applications obtain bounds for the largest eigenvalue of a nonnegative tensor, which achieve tighter bounds than existing bounds. Furthermore, based on these eigenvalue inclusion theorems, we present several sufficient conditions to test positive definiteness and positive semi-definiteness of tensors. |
| first_indexed | 2025-11-14T10:55:28Z |
| format | Journal Article |
| id | curtin-20.500.11937-73142 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:55:28Z |
| publishDate | 2018 |
| publisher | Yokohama Publishers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-731422019-05-09T01:21:10Z Sharp Brauer-Type Eigenvalue Inclusion Theorems for Tensors Wang, G. Zhou, Guanglu Caccetta, L. In this paper, some new Brauer-type eigenvalue inclusion theroems are established for general tenors. We show that new eigenvalue inclusion sets are sharper than classical results. As applications obtain bounds for the largest eigenvalue of a nonnegative tensor, which achieve tighter bounds than existing bounds. Furthermore, based on these eigenvalue inclusion theorems, we present several sufficient conditions to test positive definiteness and positive semi-definiteness of tensors. 2018 Journal Article http://hdl.handle.net/20.500.11937/73142 http://www.ybook.co.jp/online2/pjov14-2.html Yokohama Publishers restricted |
| spellingShingle | Wang, G. Zhou, Guanglu Caccetta, L. Sharp Brauer-Type Eigenvalue Inclusion Theorems for Tensors |
| title | Sharp Brauer-Type Eigenvalue Inclusion Theorems for Tensors |
| title_full | Sharp Brauer-Type Eigenvalue Inclusion Theorems for Tensors |
| title_fullStr | Sharp Brauer-Type Eigenvalue Inclusion Theorems for Tensors |
| title_full_unstemmed | Sharp Brauer-Type Eigenvalue Inclusion Theorems for Tensors |
| title_short | Sharp Brauer-Type Eigenvalue Inclusion Theorems for Tensors |
| title_sort | sharp brauer-type eigenvalue inclusion theorems for tensors |
| url | http://www.ybook.co.jp/online2/pjov14-2.html http://hdl.handle.net/20.500.11937/73142 |