Pfeffer, Max; Samper, José Alejandro The cone of \(5 \times 5\) completely positive matrices. (English) Zbl 07802596 Discrete Comput. Geom. 71, No. 2, 442-466 (2024). MSC: 14P10 15B48 65F30 PDFBibTeX XMLCite \textit{M. Pfeffer} and \textit{J. A. Samper}, Discrete Comput. Geom. 71, No. 2, 442--466 (2024; Zbl 07802596) Full Text: DOI arXiv OA License
Guglielmi, Nicola; Lubich, Christian; Sicilia, Stefano Rank-1 matrix differential equations for structured eigenvalue optimization. (English) Zbl 1520.65044 SIAM J. Numer. Anal. 61, No. 4, 1737-1762 (2023). MSC: 65K10 15A18 65F15 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., SIAM J. Numer. Anal. 61, No. 4, 1737--1762 (2023; Zbl 1520.65044) Full Text: DOI arXiv
Sheng, Zhou; Li, Jianze; Ni, Qin Jacobi-type algorithms for homogeneous polynomial optimization on Stiefel manifolds with applications to tensor approximations. (English) Zbl 1519.90162 Math. Comput. 92, No. 343, 2217-2245 (2023). MSC: 90C23 90C30 15A69 15A63 65F99 PDFBibTeX XMLCite \textit{Z. Sheng} et al., Math. Comput. 92, No. 343, 2217--2245 (2023; Zbl 1519.90162) Full Text: DOI arXiv
Weber, Melanie; Sra, Suvrit Riemannian optimization via Frank-Wolfe methods. (English) Zbl 1522.46052 Math. Program. 199, No. 1-2 (A), 525-556 (2023). MSC: 46N10 15A24 65K10 49Q99 PDFBibTeX XMLCite \textit{M. Weber} and \textit{S. Sra}, Math. Program. 199, No. 1--2 (A), 525--556 (2023; Zbl 1522.46052) Full Text: DOI arXiv
Palitta, Davide; Tabeart, Jemima M. Stein-based preconditioners for weak-constraint 4D-var. (English) Zbl 07679174 J. Comput. Phys. 482, Article ID 112068, 23 p. (2023). MSC: 65Fxx 15Axx 65Kxx PDFBibTeX XMLCite \textit{D. Palitta} and \textit{J. M. Tabeart}, J. Comput. Phys. 482, Article ID 112068, 23 p. (2023; Zbl 07679174) Full Text: DOI arXiv
Lai, Zhijian; Yoshise, Akiko Completely positive factorization by a Riemannian smoothing method. (English) Zbl 1518.90123 Comput. Optim. Appl. 83, No. 3, 933-966 (2022). MSC: 90C48 15A23 15B48 90C59 PDFBibTeX XMLCite \textit{Z. Lai} and \textit{A. Yoshise}, Comput. Optim. Appl. 83, No. 3, 933--966 (2022; Zbl 1518.90123) Full Text: DOI arXiv
Sheng, Zhou; Yang, Weiwei; Wen, Jie A Riemannian gradient ascent algorithm with applications to orthogonal approximation problems of symmetric tensors. (English) Zbl 1503.65130 Appl. Numer. Math. 182, 235-247 (2022). MSC: 65K05 65F99 15A69 PDFBibTeX XMLCite \textit{Z. Sheng} et al., Appl. Numer. Math. 182, 235--247 (2022; Zbl 1503.65130) Full Text: DOI
Dong, Shuyu; Gao, Bin; Guan, Yu; Glineur, François New Riemannian preconditioned algorithms for tensor completion via polyadic decomposition. (English) Zbl 1492.65107 SIAM J. Matrix Anal. Appl. 43, No. 2, 840-866 (2022). MSC: 65F55 15A69 15A83 65K05 90C26 90C30 90C52 PDFBibTeX XMLCite \textit{S. Dong} et al., SIAM J. Matrix Anal. Appl. 43, No. 2, 840--866 (2022; Zbl 1492.65107) Full Text: DOI arXiv
Noferini, Vanni; Poloni, Federico Nearest \(\Omega \)-stable matrix via Riemannian optimization. (English) Zbl 1472.15030 Numer. Math. 148, No. 4, 817-851 (2021). MSC: 15A60 15A29 15A18 65K05 65K10 49M37 49K40 PDFBibTeX XMLCite \textit{V. Noferini} and \textit{F. Poloni}, Numer. Math. 148, No. 4, 817--851 (2021; Zbl 1472.15030) Full Text: DOI arXiv Backlinks: MO
Dong, Shuyu; Absil, P.-A.; Gallivan, K. A. Riemannian gradient descent methods for graph-regularized matrix completion. (English) Zbl 1469.90168 Linear Algebra Appl. 623, 193-235 (2021). MSC: 90C90 53B21 15A83 PDFBibTeX XMLCite \textit{S. Dong} et al., Linear Algebra Appl. 623, 193--235 (2021; Zbl 1469.90168) Full Text: DOI
Li, Jiao-fen; Li, Wen; Duan, Xue-feng; Xiao, Mingqing Newton’s method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils. (English) Zbl 1465.65029 Adv. Comput. Math. 47, No. 2, Paper No. 29, 50 p. (2021). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{J.-f. Li} et al., Adv. Comput. Math. 47, No. 2, Paper No. 29, 50 p. (2021; Zbl 1465.65029) Full Text: DOI
Krumnow, Christian; Pfeffer, Max; Uschmajew, André Computing eigenspaces with low rank constraints. (English) Zbl 1462.65039 SIAM J. Sci. Comput. 43, No. 1, A586-A608 (2021). MSC: 65F15 65K10 53B21 15A18 15A69 PDFBibTeX XMLCite \textit{C. Krumnow} et al., SIAM J. Sci. Comput. 43, No. 1, A586--A608 (2021; Zbl 1462.65039) Full Text: DOI
Lombard, John Honey from the hives: a theoretical and computational exploration of combinatorial hives. (English) Zbl 1462.05352 Exp. Math. 29, No. 4, 361-382 (2020). MSC: 05E05 05E10 14M15 15A42 PDFBibTeX XMLCite \textit{J. Lombard}, Exp. Math. 29, No. 4, 361--382 (2020; Zbl 1462.05352) Full Text: DOI arXiv
Usevich, Konstantin; Li, Jianze; Comon, Pierre Approximate matrix and tensor diagonalization by unitary transformations: convergence of Jacobi-type algorithms. (English) Zbl 1453.90168 SIAM J. Optim. 30, No. 4, 2998-3028 (2020). MSC: 90C30 53B21 53B20 15A69 65K10 65Y20 PDFBibTeX XMLCite \textit{K. Usevich} et al., SIAM J. Optim. 30, No. 4, 2998--3028 (2020; Zbl 1453.90168) Full Text: DOI arXiv
Massart, Estelle; Absil, P.-A. Quotient geometry with simple geodesics for the manifold of fixed-rank positive-semidefinite matrices. (English) Zbl 1433.53064 SIAM J. Matrix Anal. Appl. 41, No. 1, 171-198 (2020). MSC: 53C22 58D19 15A23 PDFBibTeX XMLCite \textit{E. Massart} and \textit{P. A. Absil}, SIAM J. Matrix Anal. Appl. 41, No. 1, 171--198 (2020; Zbl 1433.53064) Full Text: DOI
Bouchard, Florent; Afsari, Bijan; Malick, Jérôme; Congedo, Marco Approximate joint diagonalization with Riemannian optimization on the general linear group. (English) Zbl 1432.49062 SIAM J. Matrix Anal. Appl. 41, No. 1, 152-170 (2020). MSC: 49Q20 15A23 49M15 58B20 65K05 90C25 90C26 90C30 PDFBibTeX XMLCite \textit{F. Bouchard} et al., SIAM J. Matrix Anal. Appl. 41, No. 1, 152--170 (2020; Zbl 1432.49062) Full Text: DOI
Sutton, Brian D. Numerical construction of structured matrices with given eigenvalues. (English) Zbl 1433.65064 Spec. Matrices 7, 263-271 (2019). MSC: 65F18 15A29 15A18 PDFBibTeX XMLCite \textit{B. D. Sutton}, Spec. Matrices 7, 263--271 (2019; Zbl 1433.65064) Full Text: DOI
Hosseini, Seyedehsomayeh; Uschmajew, André A gradient sampling method on algebraic varieties and application to nonsmooth low-rank optimization. (English) Zbl 1428.49015 SIAM J. Optim. 29, No. 4, 2853-2880 (2019). MSC: 49J52 65K05 14P05 15A99 49J53 PDFBibTeX XMLCite \textit{S. Hosseini} and \textit{A. Uschmajew}, SIAM J. Optim. 29, No. 4, 2853--2880 (2019; Zbl 1428.49015) Full Text: DOI
Matsuda, Takeru; Komaki, Fumiyasu Empirical Bayes matrix completion. (English) Zbl 1507.62131 Comput. Stat. Data Anal. 137, 195-210 (2019). MSC: 62-08 15A83 PDFBibTeX XMLCite \textit{T. Matsuda} and \textit{F. Komaki}, Comput. Stat. Data Anal. 137, 195--210 (2019; Zbl 1507.62131) Full Text: DOI arXiv
Pfeffer, Max; Seigal, Anna; Sturmfels, Bernd Learning paths from signature tensors. (English) Zbl 1469.14116 SIAM J. Matrix Anal. Appl. 40, No. 2, 394-416 (2019). Reviewer: Liang Liao (London) MSC: 14Q15 15A72 65K10 PDFBibTeX XMLCite \textit{M. Pfeffer} et al., SIAM J. Matrix Anal. Appl. 40, No. 2, 394--416 (2019; Zbl 1469.14116) Full Text: DOI arXiv
Tingelstad, Lars; Egeland, Olav Motor parameterization. (English) Zbl 1397.51014 Adv. Appl. Clifford Algebr. 28, No. 2, Paper No. 34, 15 p. (2018). MSC: 51N99 15A66 70E15 51N20 PDFBibTeX XMLCite \textit{L. Tingelstad} and \textit{O. Egeland}, Adv. Appl. Clifford Algebr. 28, No. 2, Paper No. 34, 15 p. (2018; Zbl 1397.51014) Full Text: DOI
Cherian, Anoop; Sra, Suvrit Positive definite matrices: data representation and applications to computer vision. (English) Zbl 1355.65031 Minh, Hà Quang (ed.) et al., Algorithmic advances in Riemannian geometry and applications. For machine learning, computer vision, statistics, and optimization. Cham: Springer (ISBN 978-3-319-45025-4/hbk; 978-3-319-45026-1/ebook). Advances in Computer Vision and Pattern Recognition, 93-114 (2016). MSC: 65D18 68U05 68T05 15B48 PDFBibTeX XMLCite \textit{A. Cherian} and \textit{S. Sra}, in: Algorithmic advances in Riemannian geometry and applications. For machine learning, computer vision, statistics, and optimization. Cham: Springer. 93--114 (2016; Zbl 1355.65031) Full Text: DOI
Cambier, Léopold; Absil, P.-A. Robust low-rank matrix completion by Riemannian optimization. (English) Zbl 1352.65149 SIAM J. Sci. Comput. 38, No. 5, S440-S460 (2016). MSC: 65K05 15A83 90C05 65F30 PDFBibTeX XMLCite \textit{L. Cambier} and \textit{P. A. Absil}, SIAM J. Sci. Comput. 38, No. 5, S440--S460 (2016; Zbl 1352.65149) Full Text: DOI
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
Hintermüller, Michael; Wu, Tao Robust principal component pursuit via inexact alternating minimization on matrix manifolds. (English) Zbl 1329.15056 J. Math. Imaging Vis. 51, No. 3, 361-377 (2015). MSC: 15A83 90C30 53B21 65K10 94A08 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. Wu}, J. Math. Imaging Vis. 51, No. 3, 361--377 (2015; Zbl 1329.15056) Full Text: DOI Link
Boumal, Nicolas; Absil, P.-A. Low-rank matrix completion via preconditioned optimization on the Grassmann manifold. (English) Zbl 1312.90092 Linear Algebra Appl. 475, 200-239 (2015). MSC: 90C90 53B21 15A83 PDFBibTeX XMLCite \textit{N. Boumal} and \textit{P. A. Absil}, Linear Algebra Appl. 475, 200--239 (2015; Zbl 1312.90092) Full Text: DOI
Mishra, Bamdev; Meyer, Gilles; Bonnabel, Silvère; Sepulchre, Rodolphe Fixed-rank matrix factorizations and Riemannian low-rank optimization. (English) Zbl 1306.65107 Comput. Stat. 29, No. 3-4, 591-621 (2014). MSC: 62-08 15A83 65K05 65F20 68T05 PDFBibTeX XMLCite \textit{B. Mishra} et al., Comput. Stat. 29, No. 3--4, 591--621 (2014; Zbl 1306.65107) Full Text: DOI arXiv