Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor
Consider the problem of computing the largest eigenvalue for nonnegative tensors. In this paper, we establish the Q-linear convergence of a power type algorithm for this problem under a weak irreducibility condition. Moreover, we present a convergent algorithm for calculating the largest eigenvalue...
| Main Authors: | , , |
|---|---|
| Format: | Journal Article |
| Published: |
Springer
2013
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/38761 |
| _version_ | 1848755407412002816 |
|---|---|
| author | Zhou, Guanglu Qi, Liqun Wu, Soon-Yi |
| author_facet | Zhou, Guanglu Qi, Liqun Wu, Soon-Yi |
| author_sort | Zhou, Guanglu |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Consider the problem of computing the largest eigenvalue for nonnegative tensors. In this paper, we establish the Q-linear convergence of a power type algorithm for this problem under a weak irreducibility condition. Moreover, we present a convergent algorithm for calculating the largest eigenvalue for any nonnegative tensors. |
| first_indexed | 2025-11-14T08:55:49Z |
| format | Journal Article |
| id | curtin-20.500.11937-38761 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:55:49Z |
| publishDate | 2013 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-387612018-03-29T09:07:33Z Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor Zhou, Guanglu Qi, Liqun Wu, Soon-Yi nonnegative tensor linear convergence power method Eigenvalue Consider the problem of computing the largest eigenvalue for nonnegative tensors. In this paper, we establish the Q-linear convergence of a power type algorithm for this problem under a weak irreducibility condition. Moreover, we present a convergent algorithm for calculating the largest eigenvalue for any nonnegative tensors. 2013 Journal Article http://hdl.handle.net/20.500.11937/38761 10.1007/s11464-012-0268-4 Springer restricted |
| spellingShingle | nonnegative tensor linear convergence power method Eigenvalue Zhou, Guanglu Qi, Liqun Wu, Soon-Yi Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor |
| title | Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor |
| title_full | Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor |
| title_fullStr | Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor |
| title_full_unstemmed | Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor |
| title_short | Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor |
| title_sort | efficient algorithms for computing the largest eigenvalue of a nonnegative tensor |
| topic | nonnegative tensor linear convergence power method Eigenvalue |
| url | http://hdl.handle.net/20.500.11937/38761 |