Three decompositions of symmetric tensors have similar condition numbers
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866929402948878336 |
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| author | Dewaele, Nick Breiding, Paul Vannieuwenhoven, Nick |
| author_facet | Dewaele, Nick Breiding, Paul Vannieuwenhoven, Nick |
| contents | We relate the condition numbers of computing three decompositions of symmetric tensors: the canonical polyadic decomposition, the Waring decomposition, and a Tucker-compressed Waring decomposition. Based on this relation we can speed up the computation of these condition numbers by orders of magnitude |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_04172 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Three decompositions of symmetric tensors have similar condition numbers Dewaele, Nick Breiding, Paul Vannieuwenhoven, Nick Numerical Analysis 65F35 (Primary) 49Q12, 53B20, 15A69 (Secondary) We relate the condition numbers of computing three decompositions of symmetric tensors: the canonical polyadic decomposition, the Waring decomposition, and a Tucker-compressed Waring decomposition. Based on this relation we can speed up the computation of these condition numbers by orders of magnitude |
| title | Three decompositions of symmetric tensors have similar condition numbers |
| topic | Numerical Analysis 65F35 (Primary) 49Q12, 53B20, 15A69 (Secondary) |
| url | https://arxiv.org/abs/2110.04172 |