Three decompositions of symmetric tensors have similar condition numbers
| Autor(en): | Dewaele, Nick Breiding, Paul Vannieuwenhoven, Nick |
Stichwörter: | Canonical polyadic decomposition; Condition number; Mathematics; Mathematics, Applied; Waring decomposition | Erscheinungsdatum: | 2023 | Herausgeber: | ELSEVIER SCIENCE INC | Enthalten in: | LINEAR ALGEBRA AND ITS APPLICATIONS | Band: | 664 | Startseite: | 253 | Seitenende: | 263 | Zusammenfassung: | We relate the condition numbers of computing three decom-positions of symmetric tensors: the 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 magni-tude through Tucker compression.(c) 2023 Elsevier Inc. All rights reserved. |
ISSN: | 0024-3795 | DOI: | 10.1016/j.laa.2023.01.020 |
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