Khouja, Rima; Khalil, Houssam; Mourrain, Bernard Riemannian Newton optimization methods for the symmetric tensor approximation problem. (English) Zbl 1481.15028 Linear Algebra Appl. 637, 175-211 (2022). MSC: 15A69 15A18 53B20 53B21 14P10 65K10 65Y20 PDFBibTeX XMLCite \textit{R. Khouja} et al., Linear Algebra Appl. 637, 175--211 (2022; Zbl 1481.15028) Full Text: DOI arXiv
Draisma, Jan; Ottaviani, Giorgio; Tocino, Alicia Best rank-\(k\) approximations for tensors: generalizing Eckart-Young. (English) Zbl 1417.15034 Res. Math. Sci. 5, No. 2, Paper No. 27, 13 p. (2018). MSC: 15A69 15A18 14M17 14P05 53A45 PDFBibTeX XMLCite \textit{J. Draisma} et al., Res. Math. Sci. 5, No. 2, Paper No. 27, 13 p. (2018; Zbl 1417.15034) Full Text: DOI arXiv
Qi, Yang A very brief introduction to nonnegative tensors from the geometric viewpoint. (English) Zbl 1405.15033 Mathematics 6, No. 11, Paper No. 230, 19 p. (2018). MSC: 15A69 53A45 PDFBibTeX XMLCite \textit{Y. Qi}, Mathematics 6, No. 11, Paper No. 230, 19 p. (2018; Zbl 1405.15033) Full Text: DOI
Breiding, Paul; Vannieuwenhoven, Nick A Riemannian trust region method for the canonical tensor rank approximation problem. (English) Zbl 1397.15022 SIAM J. Optim. 28, No. 3, 2435-2465 (2018). MSC: 15A69 53B21 53B20 65K10 90C53 14P10 65Y20 65F35 PDFBibTeX XMLCite \textit{P. Breiding} and \textit{N. Vannieuwenhoven}, SIAM J. Optim. 28, No. 3, 2435--2465 (2018; Zbl 1397.15022) Full Text: DOI arXiv
De Sterck, Hans; Howse, Alexander Nonlinearly preconditioned optimization on Grassmann manifolds for computing approximate Tucker tensor decompositions. (English) Zbl 1382.65183 SIAM J. Sci. Comput. 38, No. 2, A997-A1018 (2016). MSC: 65K10 15A69 49M37 65F10 53B20 65F08 PDFBibTeX XMLCite \textit{H. De Sterck} and \textit{A. Howse}, SIAM J. Sci. Comput. 38, No. 2, A997--A1018 (2016; Zbl 1382.65183) Full Text: DOI