Gao, Bin; Nguyen Thanh Son; Stykel, Tatjana Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications. (English) Zbl 07785311 Linear Algebra Appl. 682, 50-85 (2024). MSC: 53C30 65K05 PDFBibTeX XMLCite \textit{B. Gao} et al., Linear Algebra Appl. 682, 50--85 (2024; Zbl 07785311) Full Text: DOI arXiv
Sitenko, Dmitrij; Boll, Bastian; Schnörr, Christoph A nonlocal graph-PDE and higher-order geometric integration for image labeling. (English) Zbl 1521.39019 SIAM J. Imaging Sci. 16, No. 1, 501-567 (2023). MSC: 39A60 39A14 68U10 94A08 62H35 53B12 PDFBibTeX XMLCite \textit{D. Sitenko} et al., SIAM J. Imaging Sci. 16, No. 1, 501--567 (2023; Zbl 1521.39019) Full Text: DOI arXiv
Edelman, Alan; Jeong, Sungwoo On the Cartan decomposition for classical random matrix ensembles. (English) Zbl 1508.15026 J. Math. Phys. 63, No. 6, Article ID 061705, 24 p. (2022). MSC: 15B52 15A21 53C35 PDFBibTeX XMLCite \textit{A. Edelman} and \textit{S. Jeong}, J. Math. Phys. 63, No. 6, Article ID 061705, 24 p. (2022; Zbl 1508.15026) Full Text: DOI arXiv
Friderikos, Orestis; Olive, Marc; Baranger, Emmanuel; Sagris, Dimitris; David, Constantine A non-intrusive space-time interpolation from compact Stiefel manifolds of parametrized rigid-viscoplastic FEM problems. (English) Zbl 1478.74080 Comput. Mech. 68, No. 4, 861-883 (2021). MSC: 74S05 74C10 53Z05 PDFBibTeX XMLCite \textit{O. Friderikos} et al., Comput. Mech. 68, No. 4, 861--883 (2021; Zbl 1478.74080) Full Text: DOI arXiv
Kileel, Joe; Moscovich, Amit; Zelesko, Nathan; Singer, Amit Manifold learning with arbitrary norms. (English) Zbl 07395100 J. Fourier Anal. Appl. 27, No. 5, Paper No. 82, 56 p. (2021). MSC: 68T05 53B50 62R30 PDFBibTeX XMLCite \textit{J. Kileel} et al., J. Fourier Anal. Appl. 27, No. 5, Paper No. 82, 56 p. (2021; Zbl 07395100) Full Text: DOI arXiv
Uschmajew, André; Vandereycken, Bart Geometric methods on low-rank matrix and tensor manifolds. (English) Zbl 1512.65078 Grohs, Philipp (ed.) et al., Handbook of variational methods for nonlinear geometric data. Cham: Springer. 261-313 (2020). MSC: 65F55 15A69 53B21 90C30 90C48 PDFBibTeX XMLCite \textit{A. Uschmajew} and \textit{B. Vandereycken}, in: Handbook of variational methods for nonlinear geometric data. Cham: Springer. 261--313 (2020; Zbl 1512.65078) Full Text: DOI
Jiang, Yao-Lin; Xu, Kang-Li Riemannian modified Polak-Ribière-Polyak conjugate gradient order reduced model by tensor techniques. (English) Zbl 1441.93045 SIAM J. Matrix Anal. Appl. 41, No. 2, 432-463 (2020). MSC: 93B11 93C15 53B21 PDFBibTeX XMLCite \textit{Y.-L. Jiang} and \textit{K.-L. Xu}, SIAM J. Matrix Anal. Appl. 41, No. 2, 432--463 (2020; Zbl 1441.93045) Full Text: DOI
Carlberg, Kevin; Tuminaro, Ray; Boggs, Paul Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics. (English) Zbl 1320.65193 SIAM J. Sci. Comput. 37, No. 2, B153-B184 (2015). MSC: 65P10 15A83 47B25 37K05 53D20 65D05 65F30 PDFBibTeX XMLCite \textit{K. Carlberg} et al., SIAM J. Sci. Comput. 37, No. 2, B153--B184 (2015; Zbl 1320.65193) Full Text: DOI arXiv
Wang, Duo; Clark, Bryan; Jiao, Xiangmin An analysis and comparison of parameterization-based computation of differential quantities for discrete surfaces. (English) Zbl 1205.65108 Comput. Aided Geom. Des. 26, No. 5, 510-527 (2009). MSC: 65D17 53A25 PDFBibTeX XMLCite \textit{D. Wang} et al., Comput. Aided Geom. Des. 26, No. 5, 510--527 (2009; Zbl 1205.65108) Full Text: DOI
Gabay, D. Minimizing a differentiable function over a differential manifold. (English) Zbl 0458.90060 J. Optimization Theory Appl. 37, 177-219 (1982). MSC: 90C30 90C52 53C20 53C22 PDFBibTeX XMLCite \textit{D. Gabay}, J. Optim. Theory Appl. 37, 177--219 (1982; Zbl 0458.90060) Full Text: DOI