Noschese, Silvia; Reichel, Lothar Network analysis with the aid of the path length matrix. (English) Zbl 07785654 Numer. Algorithms 95, No. 1, 451-470 (2024). Reviewer: Raffaella Pavani (Milano) MSC: 68R10 65F15 PDFBibTeX XMLCite \textit{S. Noschese} and \textit{L. Reichel}, Numer. Algorithms 95, No. 1, 451--470 (2024; Zbl 07785654) Full Text: DOI arXiv OA License
Buccini, Alessandro; Onisk, Lucas; Reichel, Lothar Range restricted iterative methods for linear discrete ill-posed problems. (English) Zbl 1512.65069 ETNA, Electron. Trans. Numer. Anal. 58, 348-377 (2023). MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{A. Buccini} et al., ETNA, Electron. Trans. Numer. Anal. 58, 348--377 (2023; Zbl 1512.65069) Full Text: DOI Link
El-Halouy, Smahane; Noschese, Silvia; Reichel, Lothar Perron communicability and sensitivity of multilayer networks. (English) Zbl 1508.65031 Numer. Algorithms 92, No. 1, 597-617 (2023). MSC: 65F15 05C50 15A18 PDFBibTeX XMLCite \textit{S. El-Halouy} et al., Numer. Algorithms 92, No. 1, 597--617 (2023; Zbl 1508.65031) Full Text: DOI arXiv
De la Cruz Cabrera, Omar; Jin, Jiafeng; Noschese, Silvia; Reichel, Lothar Communication in complex networks. (English) Zbl 1485.90019 Appl. Numer. Math. 172, 186-205 (2022). MSC: 90B18 PDFBibTeX XMLCite \textit{O. De la Cruz Cabrera} et al., Appl. Numer. Math. 172, 186--205 (2022; Zbl 1485.90019) Full Text: DOI arXiv Link
Bai, Xianglan; Buccini, Alessandro; Reichel, Lothar Golub-Kahan vs. Monte Carlo: a comparison of bidiagonlization and a randomized SVD method for the solution of linear discrete ill-posed problems. (English) Zbl 1490.65066 BIT 61, No. 4, 1093-1114 (2021). MSC: 65F22 65F15 PDFBibTeX XMLCite \textit{X. Bai} et al., BIT 61, No. 4, 1093--1114 (2021; Zbl 1490.65066) Full Text: DOI
Reichel, Lothar; Sadok, Hassane; Zhang, Wei-Hong Simple stopping criteria for the LSQR method applied to discrete ill-posed problems. (English) Zbl 1462.65040 Numer. Algorithms 84, No. 4, 1381-1395 (2020). MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{L. Reichel} et al., Numer. Algorithms 84, No. 4, 1381--1395 (2020; Zbl 1462.65040) Full Text: DOI
Huang, Guangxin; Reichel, Lothar; Yin, Feng On the choice of subspace for large-scale Tikhonov regularization problems in general form. (English) Zbl 1434.65042 Numer. Algorithms 81, No. 1, 33-55 (2019). MSC: 65F22 65F10 65F50 PDFBibTeX XMLCite \textit{G. Huang} et al., Numer. Algorithms 81, No. 1, 33--55 (2019; Zbl 1434.65042) Full Text: DOI
Park, Y.; Reichel, L.; Rodriguez, G.; Yu, X. Parameter determination for Tikhonov regularization problems in general form. (English) Zbl 1391.65100 J. Comput. Appl. Math. 343, 12-25 (2018). MSC: 65F22 65F10 65R30 PDFBibTeX XMLCite \textit{Y. Park} et al., J. Comput. Appl. Math. 343, 12--25 (2018; Zbl 1391.65100) Full Text: DOI
Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe; Sadok, Hassane GCV for Tikhonov regularization by partial SVD. (English) Zbl 1386.65118 BIT 57, No. 4, 1019-1039 (2017). Reviewer: Vasilis Dimitriou (Chania) MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{C. Fenu} et al., BIT 57, No. 4, 1019--1039 (2017; Zbl 1386.65118) Full Text: DOI
Morigi, Serena; Reichel, Lothar; Sgallari, Fiorella Fractional Tikhonov regularization with a nonlinear penalty term. (English) Zbl 1368.65065 J. Comput. Appl. Math. 324, 142-154 (2017). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{S. Morigi} et al., J. Comput. Appl. Math. 324, 142--154 (2017; Zbl 1368.65065) Full Text: DOI
Gazzola, Silvia; Reichel, Lothar A new framework for multi-parameter regularization. (English) Zbl 1353.65032 BIT 56, No. 3, 919-949 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{S. Gazzola} and \textit{L. Reichel}, BIT 56, No. 3, 919--949 (2016; Zbl 1353.65032) Full Text: DOI
Huang, Guangxin; Reichel, Lothar; Yin, Feng On the choice of solution subspace for nonstationary iterated Tikhonov regularization. (English) Zbl 1350.65034 Numer. Algorithms 72, No. 4, 1043-1063 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65F10 65F50 65F20 PDFBibTeX XMLCite \textit{G. Huang} et al., Numer. Algorithms 72, No. 4, 1043--1063 (2016; Zbl 1350.65034) Full Text: DOI
Huang, Guangxin; Reichel, Lothar; Yin, Feng Projected nonstationary iterated Tikhonov regularization. (English) Zbl 1341.65017 BIT 56, No. 2, 467-487 (2016). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{G. Huang} et al., BIT 56, No. 2, 467--487 (2016; Zbl 1341.65017) Full Text: DOI
Mach, T.; Reichel, L.; Van Barel, M.; Vandebril, R. Adaptive cross approximation for ill-posed problems. (English) Zbl 1416.65565 J. Comput. Appl. Math. 303, 206-217 (2016). MSC: 65R32 45Q05 65F50 65F15 PDFBibTeX XMLCite \textit{T. Mach} et al., J. Comput. Appl. Math. 303, 206--217 (2016; Zbl 1416.65565) Full Text: DOI
Hochstenbach, Michiel E.; Noschese, Silvia; Reichel, Lothar Fractional regularization matrices for linear discrete ill-posed problems. (English) Zbl 1360.65113 J. Eng. Math. 93, 113-129 (2015). MSC: 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., J. Eng. Math. 93, 113--129 (2015; Zbl 1360.65113) Full Text: DOI Link
Donatelli, Marco; Martin, David; Reichel, Lothar Arnoldi methods for image deblurring with anti-reflective boundary conditions. (English) Zbl 1338.94006 Appl. Math. Comput. 253, 135-150 (2015). MSC: 94A08 PDFBibTeX XMLCite \textit{M. Donatelli} et al., Appl. Math. Comput. 253, 135--150 (2015; Zbl 1338.94006) Full Text: DOI
Reichel, Lothar; Yu, Xuebo Tikhonov regularization via flexible Arnoldi reduction. (English) Zbl 1332.65058 BIT 55, No. 4, 1145-1168 (2015). MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{X. Yu}, BIT 55, No. 4, 1145--1168 (2015; Zbl 1332.65058) Full Text: DOI
Hochstenbach, Michiel E.; Reichel, Lothar; Yu, Xuebo A Golub-Kahan-type reduction method for matrix pairs. (English) Zbl 1329.65082 J. Sci. Comput. 65, No. 2, 767-789 (2015). MSC: 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., J. Sci. Comput. 65, No. 2, 767--789 (2015; Zbl 1329.65082) Full Text: DOI
Lanza, A.; Morigi, S.; Reichel, L.; Sgallari, F. A generalized Krylov subspace method for \(\ell_p\)-\(\ell_q\) minimization. (English) Zbl 1343.65077 SIAM J. Sci. Comput. 37, No. 5, S30-S50 (2015). MSC: 65K10 65F10 65F22 94A08 PDFBibTeX XMLCite \textit{A. Lanza} et al., SIAM J. Sci. Comput. 37, No. 5, S30--S50 (2015; Zbl 1343.65077) Full Text: DOI
Bellalij, M.; Reichel, L.; Sadok, H. Some properties of range restricted GMRES methods. (English) Zbl 1321.65046 J. Comput. Appl. Math. 290, 310-318 (2015). MSC: 65F10 65F22 PDFBibTeX XMLCite \textit{M. Bellalij} et al., J. Comput. Appl. Math. 290, 310--318 (2015; Zbl 1321.65046) Full Text: DOI
Noschese, Silvia; Reichel, Lothar Lavrentiev-type regularization methods for Hermitian problems. (English) Zbl 1323.65037 Calcolo 52, No. 2, 187-205 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{S. Noschese} and \textit{L. Reichel}, Calcolo 52, No. 2, 187--205 (2015; Zbl 1323.65037) Full Text: DOI
Noschese, Silvia; Reichel, Lothar A modified truncated singular value decomposition method for discrete ill-posed problems. (English) Zbl 1340.65070 Numer. Linear Algebra Appl. 21, No. 6, 813-822 (2014). MSC: 65F22 15A18 65F15 65F20 PDFBibTeX XMLCite \textit{S. Noschese} and \textit{L. Reichel}, Numer. Linear Algebra Appl. 21, No. 6, 813--822 (2014; Zbl 1340.65070) Full Text: DOI
Noschese, Silvia; Reichel, Lothar Inverse subspace problems with applications. (English) Zbl 1340.65069 Numer. Linear Algebra Appl. 21, No. 5, 589-603 (2014). Reviewer: Robert Plato (Siegen) MSC: 65F22 65F25 65F35 PDFBibTeX XMLCite \textit{S. Noschese} and \textit{L. Reichel}, Numer. Linear Algebra Appl. 21, No. 5, 589--603 (2014; Zbl 1340.65069) Full Text: DOI
Hearn, Tristan A.; Reichel, Lothar Application of denoising methods to regularizationof ill-posed problems. (English) Zbl 1297.65043 Numer. Algorithms 66, No. 4, 761-777 (2014). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{T. A. Hearn} and \textit{L. Reichel}, Numer. Algorithms 66, No. 4, 761--777 (2014; Zbl 1297.65043) Full Text: DOI
Baglama, J.; Fenu, C.; Reichel, L.; Rodriguez, G. Analysis of directed networks via partial singular value decomposition and Gauss quadrature. (English) Zbl 1295.05216 Linear Algebra Appl. 456, 93-121 (2014). MSC: 05C82 05C50 65F15 65F60 PDFBibTeX XMLCite \textit{J. Baglama} et al., Linear Algebra Appl. 456, 93--121 (2014; Zbl 1295.05216) Full Text: DOI
Baglama, J.; Reichel, L.; Richmond, D. An augmented LSQR method. (English) Zbl 1273.65059 Numer. Algorithms 64, No. 2, 263-293 (2013). MSC: 65F20 PDFBibTeX XMLCite \textit{J. Baglama} et al., Numer. Algorithms 64, No. 2, 263--293 (2013; Zbl 1273.65059) Full Text: DOI
Martin, David R.; Reichel, Lothar Projected Tikhonov regularization of large-scale discrete ill-posed problems. (English) Zbl 1280.65038 J. Sci. Comput. 56, No. 3, 471-493 (2013). Reviewer: Michael Jung (Dresden) MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{D. R. Martin} and \textit{L. Reichel}, J. Sci. Comput. 56, No. 3, 471--493 (2013; Zbl 1280.65038) Full Text: DOI
Baglama, James; Reichel, Lothar An implicitly restarted block Lanczos bidiagonalization method using Leja shifts. (English) Zbl 1269.65038 BIT 53, No. 2, 285-310 (2013). MSC: 65F20 PDFBibTeX XMLCite \textit{J. Baglama} and \textit{L. Reichel}, BIT 53, No. 2, 285--310 (2013; Zbl 1269.65038) Full Text: DOI
Donatelli, Marco; Neuman, Arthur; Reichel, Lothar Square regularization matrices for large linear discrete ill-posed problems. (English) Zbl 1289.65096 Numer. Linear Algebra Appl. 19, No. 6, 896-913 (2012). Reviewer: Fiorella Sgallari (Bologna) MSC: 65F22 65F10 65N06 65F20 PDFBibTeX XMLCite \textit{M. Donatelli} et al., Numer. Linear Algebra Appl. 19, No. 6, 896--913 (2012; Zbl 1289.65096) Full Text: DOI
Hochstenbach, Michiel E.; Reichel, Lothar Combining approximate solutions for linear discrete ill-posed problems. (English) Zbl 1241.65043 J. Comput. Appl. Math. 236, No. 8, 2179-2185 (2012). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{L. Reichel}, J. Comput. Appl. Math. 236, No. 8, 2179--2185 (2012; Zbl 1241.65043) Full Text: DOI
Baglama, James; Reichel, Lothar Restarted block Lanczos bidiagonalization methods. (English) Zbl 1110.65027 Numer. Algorithms 43, No. 3, 251-272 (2006). MSC: 65F15 65F20 PDFBibTeX XMLCite \textit{J. Baglama} and \textit{L. Reichel}, Numer. Algorithms 43, No. 3, 251--272 (2006; Zbl 1110.65027) Full Text: DOI