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http://hdl.handle.net/10077/27063| Title: | An effective criterion for the additive decompositions of forms | Authors: | BALLICO, EDOARDO | Keywords: | symmetric tensor rank; additive decomposition of polynomials; Waring decomposition; identifiability | Issue Date: | 2019 | Publisher: | EUT Edizioni Università di Trieste | Source: | Edoardo Ballico, "An effective criterion for the additive decompositions of forms", in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 51 (2019)", Trieste, EUT Edizioni Università di Trieste, 2019, pp. 1-12 | Abstract: | We give an effective criterion for the identifiability of additive decompositions of homogeneous forms of degree d in a fixed number of variables. Asymptotically for large d it has the same order of the Kruskal’s criterion adapted to symmetric tensors given by L. Chiantini, G. Ottaviani and N. Vannieuwenhoven. We give a new case of identifiability for d = 4. |
Type: | Article | URI: | http://hdl.handle.net/10077/27063 | ISSN: | 0049-4704 | eISSN: | 2464-8728 | DOI: | 10.13137/2464-8728/27063 | Rights: | Attribution-NonCommercial-NoDerivatives 4.0 Internazionale |
| Appears in Collections: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.51 (2019) |
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| File | Description | Size | Format | |
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| 1_Ballico_1-12.pdf | 208.86 kB | Adobe PDF |  View/Open |
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