Singular values of a real rectangular tensor
Real rectangular tensors arise from the strong ellipticity condition problem in solid mechanics and the entanglement problem in quantum physics. In this paper, we systematically study properties of singular values of a real rectangular tensor, and give an algorithm to find the largest singular value...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2010
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| Online Access: | http://hdl.handle.net/20.500.11937/27506 |
| _version_ | 1848752282479362048 |
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| author | Chang, K. Qi, L. Zhou, Guanglu |
| author_facet | Chang, K. Qi, L. Zhou, Guanglu |
| author_sort | Chang, K. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Real rectangular tensors arise from the strong ellipticity condition problem in solid mechanics and the entanglement problem in quantum physics. In this paper, we systematically study properties of singular values of a real rectangular tensor, and give an algorithm to find the largest singular value of a nonnegative rectangular tensor. Numerical results show that the algorithm is efficient. |
| first_indexed | 2025-11-14T08:06:09Z |
| format | Journal Article |
| id | curtin-20.500.11937-27506 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:06:09Z |
| publishDate | 2010 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-275062019-02-19T04:27:40Z Singular values of a real rectangular tensor Chang, K. Qi, L. Zhou, Guanglu Partially symmetric tensor Singular value Algorithm Nonnegative tensor Rectangular tensor Real rectangular tensors arise from the strong ellipticity condition problem in solid mechanics and the entanglement problem in quantum physics. In this paper, we systematically study properties of singular values of a real rectangular tensor, and give an algorithm to find the largest singular value of a nonnegative rectangular tensor. Numerical results show that the algorithm is efficient. 2010 Journal Article http://hdl.handle.net/20.500.11937/27506 10.1016/j.jmaa.2010.04.037 Elsevier fulltext |
| spellingShingle | Partially symmetric tensor Singular value Algorithm Nonnegative tensor Rectangular tensor Chang, K. Qi, L. Zhou, Guanglu Singular values of a real rectangular tensor |
| title | Singular values of a real rectangular tensor |
| title_full | Singular values of a real rectangular tensor |
| title_fullStr | Singular values of a real rectangular tensor |
| title_full_unstemmed | Singular values of a real rectangular tensor |
| title_short | Singular values of a real rectangular tensor |
| title_sort | singular values of a real rectangular tensor |
| topic | Partially symmetric tensor Singular value Algorithm Nonnegative tensor Rectangular tensor |
| url | http://hdl.handle.net/20.500.11937/27506 |