An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor
In this paper we propose an iterative method to calculate the largest eigenvalue of a nonnegative tensor. We prove this method converges for any irreducible nonnegative tensor. We also apply this method to study the positive definiteness of a multivariate form.
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2010
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| Online Access: | http://hdl.handle.net/20.500.11937/29734 |
| _version_ | 1848752884469989376 |
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| author | Liu, Y. Zhou, Guanglu Ibrahim, Nur Fadhilah |
| author_facet | Liu, Y. Zhou, Guanglu Ibrahim, Nur Fadhilah |
| author_sort | Liu, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper we propose an iterative method to calculate the largest eigenvalue of a nonnegative tensor. We prove this method converges for any irreducible nonnegative tensor. We also apply this method to study the positive definiteness of a multivariate form. |
| first_indexed | 2025-11-14T08:15:43Z |
| format | Journal Article |
| id | curtin-20.500.11937-29734 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:15:43Z |
| publishDate | 2010 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-297342017-09-13T15:27:37Z An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor Liu, Y. Zhou, Guanglu Ibrahim, Nur Fadhilah In this paper we propose an iterative method to calculate the largest eigenvalue of a nonnegative tensor. We prove this method converges for any irreducible nonnegative tensor. We also apply this method to study the positive definiteness of a multivariate form. 2010 Journal Article http://hdl.handle.net/20.500.11937/29734 10.1016/j.cam.2010.06.002 Elsevier unknown |
| spellingShingle | Liu, Y. Zhou, Guanglu Ibrahim, Nur Fadhilah An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor |
| title | An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor |
| title_full | An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor |
| title_fullStr | An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor |
| title_full_unstemmed | An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor |
| title_short | An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor |
| title_sort | always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor |
| url | http://hdl.handle.net/20.500.11937/29734 |