Brambilla, Maria Chiara; Staglianò, Giovanni Algebraic boundaries among typical ranks for real binary forms of arbitrary degree. (English) Zbl 1482.14053 Found. Comput. Math. 21, No. 4, 1003-1022 (2021). Reviewer: Vincenzo Galgano (Povo) MSC: 14N07 14P10 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ansola, M.; Díaz-Cano, A.; Zurro, M. A. Semialgebraic sets and real binary forms decompositions. (English) Zbl 1461.14078 J. Symb. Comput. 107, 209-220 (2021). MSC: 14P10 12D10 14N07 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Fan, Jinyan; Nie, Jiawang; Zhou, Anwa Completely positive binary tensors. (English) Zbl 1437.15031 Math. Oper. Res. 44, No. 3, 1087-1100 (2019). MSC: 15A69 15A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fröberg, Ralf; Lundqvist, Samuel; Oneto, Alessandro; Shapiro, Boris Algebraic stories from one and from the other pockets. (English) Zbl 1423.14299 Arnold Math. J. 4, No. 2, 137-160 (2018). Reviewer: Luca Chiantini (Siena) MSC: 14N05 13F20 14M99 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Chen, Jianxin; Childs, Andrew M.; Hung, Shih-Han Quantum algorithm for multivariate polynomial interpolation. (English) Zbl 1402.68064 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2209, Article ID 20170480, 14 p. (2018). MSC: 68Q12 65D05 81P68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bernardi, Alessandra; Blekherman, Grigoriy; Ottaviani, Giorgio On real typical ranks. (English) Zbl 1403.15018 Boll. Unione Mat. Ital. 11, No. 3, 293-307 (2018). MSC: 15A72 15A21 15A69 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Brambilla, Maria Chiara; Staglianò, Giovanni On the algebraic boundaries among typical ranks for real binary forms. (English) Zbl 1397.15021 Linear Algebra Appl. 557, 403-418 (2018). MSC: 15A69 14P10 14N05 11E16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Altavilla, A.; de Fabritiis, C. s-regular functions which preserve a complex slice. (English) Zbl 1397.30036 Ann. Mat. Pura Appl. (4) 197, No. 4, 1269-1294 (2018). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bernardi, Alessandra; Daleo, Noah S.; Hauenstein, Jonathan D.; Mourrain, Bernard Tensor decomposition and homotopy continuation. (English) Zbl 1377.65057 Differ. Geom. Appl. 55, 78-105 (2017). MSC: 65H10 14Q15 15A69 13P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Reznick, Bruce; Tokcan, Neriman Binary forms with three different relative ranks. (English) Zbl 1400.11093 Proc. Am. Math. Soc. 145, No. 12, 5169-5177 (2017). Reviewer: M. Rafiq Omar (Bellville) MSC: 11E76 11P05 12D15 14N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tokcan, Neriman On the Waring rank of binary forms. (English) Zbl 1426.11033 Linear Algebra Appl. 524, 250-262 (2017). MSC: 11E76 11P05 12D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qi, Yang; Comon, Pierre; Lim, Lek-Heng Semialgebraic geometry of nonnegative tensor rank. (English) Zbl 1349.14183 SIAM J. Matrix Anal. Appl. 37, No. 4, 1556-1580 (2016). MSC: 14P10 15A69 41A50 41A52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blekherman, Grigoriy; Sinn, Rainer Real rank with respect to varieties. (English) Zbl 1360.15028 Linear Algebra Appl. 505, 344-360 (2016). MSC: 15A69 15A21 14P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballico, Edoardo On the typical rank of real polynomials (or symmetric tensors) with a fixed border rank. (English) Zbl 1308.14054 Acta Math. Vietnam. 39, No. 3, 367-378 (2014). MSC: 14N05 14Q05 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballico, E. An upper bound for the real tensor rank and the real symmetric tensor rank in terms of the complex ranks. (English) Zbl 1301.14029 Linear Multilinear Algebra 62, No. 11, 1546-1552 (2014). MSC: 14N05 14Q05 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
Naldi, Simone Nonnegative polynomials and their Carathéodory number. (English) Zbl 1311.13034 Discrete Comput. Geom. 51, No. 3, 559-568 (2014). Reviewer: Igor Klep (Auckland) MSC: 13J30 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballico, Edoardo On the typical rank of real bivariate polynomials. (English) Zbl 1302.14043 Linear Algebra Appl. 452, 263-269 (2014). MSC: 14N05 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballico, Edoardo; Bernardi, Alessandra Real and complex rank for real symmetric tensors with low ranks. (English) Zbl 1327.14232 Algebra 2013, Article ID 794054, 5 p. (2013). MSC: 14N05 15A72 15B48 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Comas, Gonzalo; Seiguer, Malena On the rank of a binary form. (English) Zbl 1211.14059 Found. Comput. Math. 11, No. 1, 65-78 (2011). Reviewer: Alessandro Gimigliano (Bologna) MSC: 14N15 14M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv