Lu, Song; Xu, Xianmin Numerical investigations on trace finite element methods for the Laplace-Beltrami eigenvalue problem. (English) Zbl 1522.65194 J. Sci. Comput. 97, No. 1, Paper No. 12, 31 p. (2023). MSC: 65N25 65N30 65F15 65F22 47A55 15A18 58J50 PDFBibTeX XMLCite \textit{S. Lu} and \textit{X. Xu}, J. Sci. Comput. 97, No. 1, Paper No. 12, 31 p. (2023; Zbl 1522.65194) Full Text: DOI arXiv
Otto, Samuel E.; Zolman, Nicholas; Kutz, J. Nathan; Brunton, Steven L. A Unified Framework to Enforce, Discover, and Promote Symmetry in Machine Learning. arXiv:2311.00212 Preprint, arXiv:2311.00212 [cs.LG] (2023). MSC: 15B30 22E15 22E70 47D03 54H15 57S99 58D19 58K70 65F55 68Q32 68T07 70G65 70H33 90C25 BibTeX Cite \textit{S. E. Otto} et al., ``A Unified Framework to Enforce, Discover, and Promote Symmetry in Machine Learning'', Preprint, arXiv:2311.00212 [cs.LG] (2023) Full Text: arXiv OA License
Shen, Chao; Wu, Hau-Tieng Scalability and robustness of spectral embedding: landmark diffusion is all you need. (English) Zbl 1508.94043 Inf. Inference 11, No. 4, 1527-1595 (2022). MSC: 94A16 05C50 53Z50 65D18 62H99 68U01 58Z05 PDFBibTeX XMLCite \textit{C. Shen} and \textit{H.-T. Wu}, Inf. Inference 11, No. 4, 1527--1595 (2022; Zbl 1508.94043) Full Text: DOI arXiv
Cheng, Xiuyuan; Wu, Nan Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation. (English) Zbl 1496.65203 Appl. Comput. Harmon. Anal. 61, 132-190 (2022). MSC: 65N25 68T05 62H30 05C50 58J60 35R01 PDFBibTeX XMLCite \textit{X. Cheng} and \textit{N. Wu}, Appl. Comput. Harmon. Anal. 61, 132--190 (2022; Zbl 1496.65203) Full Text: DOI arXiv
Lu, Jinpeng Graph approximations to the Laplacian spectra. (English) Zbl 1494.58013 J. Topol. Anal. 14, No. 1, 111-145 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J50 58J60 53C21 53C23 65N25 05C50 PDFBibTeX XMLCite \textit{J. Lu}, J. Topol. Anal. 14, No. 1, 111--145 (2022; Zbl 1494.58013) Full Text: DOI arXiv
Chu, Moody T.; Lin, Matthew M. Nonlinear power-like and SVD-like iterative schemes with applications to entangled bipartite rank-1 approximation. (English) Zbl 07418115 SIAM J. Sci. Comput. 43, No. 5, S448-S474 (2021). MSC: 65F10 15A24 65H10 15A72 58D19 PDFBibTeX XMLCite \textit{M. T. Chu} and \textit{M. M. Lin}, SIAM J. Sci. Comput. 43, No. 5, S448--S474 (2021; Zbl 07418115) Full Text: DOI
Chu, Moody T.; Lin, Matthew M. Nonlinear power-like and SVD-like iterative schemes with applications to entangled bipartite rank-1 approximation. (English) Zbl 07378150 SIAM J. Sci. Comput. 43, No. 3, S448-S474 (2021). MSC: 65F10 15A24 65H10 15A72 58D19 PDFBibTeX XMLCite \textit{M. T. Chu} and \textit{M. M. Lin}, SIAM J. Sci. Comput. 43, No. 3, S448--S474 (2021; Zbl 07378150) Full Text: DOI
García Trillos, Nicolás; Gerlach, Moritz; Hein, Matthias; Slepčev, Dejan Error estimates for spectral convergence of the graph Laplacian on random geometric graphs toward the Laplace-Beltrami operator. (English) Zbl 1447.62141 Found. Comput. Math. 20, No. 4, 827-887 (2020). MSC: 62R30 62G20 35J05 65N25 60D05 58J50 68R10 05C50 PDFBibTeX XMLCite \textit{N. García Trillos} et al., Found. Comput. Math. 20, No. 4, 827--887 (2020; Zbl 1447.62141) Full Text: DOI arXiv
Chada, Neil K.; Stuart, Andrew M.; Tong, Xin T. Tikhonov regularization within ensemble Kalman inversion. (English) Zbl 1447.35337 SIAM J. Numer. Anal. 58, No. 2, 1263-1294 (2020). MSC: 35Q93 58E25 65F22 65M32 65M30 65K10 65J20 62F15 93C20 PDFBibTeX XMLCite \textit{N. K. Chada} et al., SIAM J. Numer. Anal. 58, No. 2, 1263--1294 (2020; Zbl 1447.35337) Full Text: DOI arXiv
Dong, Bo; Jiang, Nan; Chu, Moody T. Nonlinear power-like iteration by polar decomposition and its application to tensor approximation. (English) Zbl 1434.65053 Numer. Math. 144, No. 4, 729-749 (2020). MSC: 65F55 65F50 65F10 65F45 15A24 65H10 15A72 58D19 PDFBibTeX XMLCite \textit{B. Dong} et al., Numer. Math. 144, No. 4, 729--749 (2020; Zbl 1434.65053) Full Text: DOI
Yin, Guojian A contour-integral based method with Schur-Rayleigh-Ritz procedure for generalized eigenvalue problems. (English) Zbl 1444.65012 J. Sci. Comput. 81, No. 1, 252-270 (2019). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 65F22 15A18 58C40 PDFBibTeX XMLCite \textit{G. Yin}, J. Sci. Comput. 81, No. 1, 252--270 (2019; Zbl 1444.65012) Full Text: DOI
Jorgensen, Palle; Tian, Feng New boundaries for positive definite functions. arXiv:1911.12344 Preprint, arXiv:1911.12344 [math.FA] (2019). MSC: 47L60 46N30 46N50 42C15 65R10 05C50 05C75 31C20 60J20 46N20 22E70 31A15 58J65 81S25 68T05 BibTeX Cite \textit{P. Jorgensen} and \textit{F. Tian}, ``New boundaries for positive definite functions'', Preprint, arXiv:1911.12344 [math.FA] (2019) Full Text: arXiv OA License
Amini, Omid; Cohen-Steiner, David A transfer principle and applications to eigenvalue estimates for graphs. (English) Zbl 1383.05192 Comment. Math. Helv. 93, No. 1, 203-223 (2018). MSC: 05C50 05C10 35P15 58J50 65F99 PDFBibTeX XMLCite \textit{O. Amini} and \textit{D. Cohen-Steiner}, Comment. Math. Helv. 93, No. 1, 203--223 (2018; Zbl 1383.05192) Full Text: DOI arXiv
Katz, K.; Katz, M.; Kerner, D.; Liokumovich, Y. Determinantal variety and normal embedding. (English) Zbl 1406.53048 J. Topol. Anal. 10, No. 1, 27-34 (2018). Reviewer: Jaydeb Sarkar (Bangalore) MSC: 53C23 58A35 32S60 15A60 15A99 PDFBibTeX XMLCite \textit{K. Katz} et al., J. Topol. Anal. 10, No. 1, 27--34 (2018; Zbl 1406.53048) Full Text: DOI arXiv
Knyazev, Andrew V. On spectral partitioning of signed graphs. arXiv:1701.01394 Preprint, arXiv:1701.01394 [cs.DS] (2017). MSC: 05C50 05C70 15A18 58C40 65F15 65N25 62H30 91C20 BibTeX Cite \textit{A. V. Knyazev}, ``On spectral partitioning of signed graphs'', Preprint, arXiv:1701.01394 [cs.DS] (2017) Full Text: arXiv OA License
Jorgensen, Palle; Tian, Feng Graph Laplacians and discrete reproducing kernel Hilbert spaces from restrictions. (English) Zbl 1380.46020 Stochastic Anal. Appl. 34, No. 4, 722-747 (2016). Reviewer: I. M. Erusalimskiy (Rostov-on-Don) MSC: 46E22 05C63 05C50 47L60 46N30 65R10 58J65 81S25 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Stochastic Anal. Appl. 34, No. 4, 722--747 (2016; Zbl 1380.46020) Full Text: DOI arXiv
Kressner, Daniel; Steinlechner, Michael; Vandereycken, Bart Preconditioned low-rank Riemannian optimization for linear systems with tensor product structure. (English) Zbl 1382.65089 SIAM J. Sci. Comput. 38, No. 4, A2018-A2044 (2016). MSC: 65F10 65K05 15A69 58C05 65F08 PDFBibTeX XMLCite \textit{D. Kressner} et al., SIAM J. Sci. Comput. 38, No. 4, A2018--A2044 (2016; Zbl 1382.65089) Full Text: DOI
Jorgensen, Palle; Tian, Feng Induced representations arising from a character with finite orbit in a semidirect product. (English) Zbl 1328.47077 New York J. Math. 21, 783-800 (2015). MSC: 47L60 46N30 46N50 42C15 65R10 05C50 05C75 31C20 46N20 22E70 31A15 58J65 81S25 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, New York J. Math. 21, 783--800 (2015; Zbl 1328.47077) Full Text: arXiv EMIS
Modin, Klas Generalized Hunter-Saxton equations, optimal information transport, and factorization of diffeomorphisms. (English) Zbl 1330.58009 J. Geom. Anal. 25, No. 2, 1306-1334 (2015). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 58D05 58D15 35Q31 53C21 58B20 94A17 65F99 PDFBibTeX XMLCite \textit{K. Modin}, J. Geom. Anal. 25, No. 2, 1306--1334 (2015; Zbl 1330.58009) Full Text: DOI arXiv
Burago, Dmitri; Ivanov, Sergei; Kurylev, Yaroslav A graph discretization of the Laplace-Beltrami operator. (English) Zbl 1327.58029 J. Spectr. Theory 4, No. 4, 675-714 (2014). Reviewer: Volker Branding (Wien) MSC: 58J50 58J60 65N25 53C21 05C50 PDFBibTeX XMLCite \textit{D. Burago} et al., J. Spectr. Theory 4, No. 4, 675--714 (2014; Zbl 1327.58029) Full Text: DOI arXiv
Aarão, J.; Miklavcic, S. J.; Ward, D. A. Extended-domain-eigenfunction method (EDEM): a study of ill posedness and regularization. (English) Zbl 1276.65072 J. Phys. A, Math. Theor. 46, No. 8, Article ID 085207, 22 p. (2013). Reviewer: Trung Thanh Nguyen (Charlotte) MSC: 65N20 65N25 35J05 35J65 35P10 58J05 65F22 PDFBibTeX XMLCite \textit{J. Aarão} et al., J. Phys. A, Math. Theor. 46, No. 8, Article ID 085207, 22 p. (2013; Zbl 1276.65072) Full Text: DOI
Walter, Sebastian F.; Lehmann, Lutz; Lamour, René On evaluating higher-order derivatives of the QR decomposition of tall matrices with full column rank in forward and reverse mode algorithmic differentiation. (English) Zbl 1242.65048 Optim. Methods Softw. 27, No. 2, 391-403 (2012). MSC: 65D25 12E05 58C15 65F15 65F25 65F05 PDFBibTeX XMLCite \textit{S. F. Walter} et al., Optim. Methods Softw. 27, No. 2, 391--403 (2012; Zbl 1242.65048) Full Text: DOI
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Baumann, Gerd Symmetry analysis of differential equations with Mathematica. With CD-ROM. (English) Zbl 0946.35002 New York, NY: Springer/Telos. xii, 521 p. (2000). Reviewer: Werner M.Seiler (Mannheim) MSC: 35-02 65-02 34-02 58J70 35A30 68W30 35C05 PDFBibTeX XMLCite \textit{G. Baumann}, Symmetry analysis of differential equations with Mathematica. With CD-ROM. New York, NY: Springer/Telos (2000; Zbl 0946.35002)
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Helmke, Uwe; Moore, John B. Optimization and dynamical systems. (English) Zbl 0984.49001 Communications and Control Engineering Series. London: Springer-Verlag. xiii, 403 p. DM 148,00; öS 1.080,40; sFr 130,50 (1994). Reviewer: F.Colonius (Augsburg) MSC: 49-02 58E35 37N35 90-02 93-02 PDFBibTeX XMLCite \textit{U. Helmke} and \textit{J. B. Moore}, Optimization and dynamical systems. London: Springer-Verlag (1994; Zbl 0984.49001)
Rockland, Charles Intrinsic nilpotent approximation. (English) Zbl 0621.22010 Acta Appl. Math. 8, 213-270 (1987). Reviewer: S.G.Krantz MSC: 22E25 17B30 35B20 58J40 22E27 17B65 65H10 PDFBibTeX XMLCite \textit{C. Rockland}, Acta Appl. Math. 8, 213--270 (1987; Zbl 0621.22010) Full Text: DOI