Baglama, James; Perović, Vasilije; Picucci, Jennifer Hybrid iterative refined restarted Lanczos bidiagonalization methods. (English) Zbl 1506.65060 Numer. Algorithms 92, No. 2, 1183-1212 (2023). MSC: 65F15 65F50 15A18 PDFBibTeX XMLCite \textit{J. Baglama} et al., Numer. Algorithms 92, No. 2, 1183--1212 (2023; Zbl 1506.65060) Full Text: DOI
Huang, Jinzhi; Jia, Zhongxiao Two harmonic Jacobi-Davidson methods for computing a partial generalized singular value decomposition of a large matrix pair. (English) Zbl 1502.65014 J. Sci. Comput. 93, No. 2, Paper No. 41, 29 p. (2022). MSC: 65F15 15A18 65F20 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Jia}, J. Sci. Comput. 93, No. 2, Paper No. 41, 29 p. (2022; Zbl 1502.65014) Full Text: DOI arXiv
Ma, Yaonan; Liao, Li-Zhi The Glowinski-Le Tallec splitting method revisited: a general convergence and convergence rate analysis. (English) Zbl 1476.90246 J. Ind. Manag. Optim. 17, No. 4, 1681-1711 (2021). MSC: 90C25 49M27 PDFBibTeX XMLCite \textit{Y. Ma} and \textit{L.-Z. Liao}, J. Ind. Manag. Optim. 17, No. 4, 1681--1711 (2021; Zbl 1476.90246) Full Text: DOI
Renaut, Rosemary A.; Horst, Michael; Wang, Yang; Cochran, Douglas; Hansen, Jakob Efficient estimation of regularization parameters via downsampling and the singular value expansion, downsampling regularization parameter estimation. (English) Zbl 1367.65061 BIT 57, No. 2, 499-529 (2017). MSC: 65F22 65R20 45B05 65F20 65R30 65R32 PDFBibTeX XMLCite \textit{R. A. Renaut} et al., BIT 57, No. 2, 499--529 (2017; Zbl 1367.65061) Full Text: DOI arXiv
Andreev, Roman Wavelet-in-time multigrid-in-space preconditioning of parabolic evolution equations. (English) Zbl 1329.65200 SIAM J. Sci. Comput. 38, No. 1, A216-A242 (2016). MSC: 65M12 65M20 65M55 65M60 65Y05 35K90 PDFBibTeX XMLCite \textit{R. Andreev}, SIAM J. Sci. Comput. 38, No. 1, A216--A242 (2016; Zbl 1329.65200) Full Text: DOI HAL
Yang, Hu; Wang, Shaoxin A flexible condition number for weighted linear least squares problem and its statistical estimation. (English) Zbl 1327.65089 J. Comput. Appl. Math. 292, 320-328 (2016). MSC: 65F35 15A12 15A60 PDFBibTeX XMLCite \textit{H. Yang} and \textit{S. Wang}, J. Comput. Appl. Math. 292, 320--328 (2016; Zbl 1327.65089) 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
Ravnik, J.; Škerget, L. Integral equation formulation of an unsteady diffusion-convection equation with variable coefficient and velocity. (English) Zbl 1368.65180 Comput. Math. Appl. 66, No. 12, 2477-2488 (2014). MSC: 65M38 65R20 76M15 35Q35 PDFBibTeX XMLCite \textit{J. Ravnik} and \textit{L. Škerget}, Comput. Math. Appl. 66, No. 12, 2477--2488 (2014; Zbl 1368.65180) 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
Reichel, Lothar; Rodriguez, Giuseppe Old and new parameter choice rules for discrete ill-posed problems. (English) Zbl 1267.65045 Numer. Algorithms 63, No. 1, 65-87 (2013). MSC: 65F22 65F10 65F20 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{G. Rodriguez}, Numer. Algorithms 63, No. 1, 65--87 (2013; Zbl 1267.65045) Full Text: DOI
Hochstenbach, M. E. Harmonic and refined extraction methods for the singular value problem, with applications in least squares problems. (English) Zbl 1079.65047 BIT 44, No. 4, 721-754 (2004). Reviewer: Jan Kozanek (Praha) MSC: 65F20 65F15 65F50 65F35 PDFBibTeX XMLCite \textit{M. E. Hochstenbach}, BIT 44, No. 4, 721--754 (2004; Zbl 1079.65047) Full Text: DOI Link
Kokiopoulou, E.; Bekas, C.; Gallopoulos, E. Computing smallest singular triplets with implicitly restarted Lanczos bidiagonalization. (English) Zbl 1049.65027 Appl. Numer. Math. 49, No. 1, 39-61 (2004). Reviewer: Daniel Kressner (Berlin) MSC: 65F20 65F50 PDFBibTeX XMLCite \textit{E. Kokiopoulou} et al., Appl. Numer. Math. 49, No. 1, 39--61 (2004; Zbl 1049.65027) Full Text: DOI
van der Vorst, Henk A. Iterative Krylov methods for large linear systems. (English) Zbl 1023.65027 Cambridge Monographs on Applied and Computational Mathematics. 13. Cambridge: Cambridge University Press. xiii, 221 p. (2003). Reviewer: Dietrich Braess (Bochum) MSC: 65F10 65-02 65F35 PDFBibTeX XMLCite \textit{H. A. van der Vorst}, Iterative Krylov methods for large linear systems. Cambridge: Cambridge University Press (2003; Zbl 1023.65027) Full Text: DOI
Kilmer, Misha E.; O’Leary, Dianne P. Choosing regularization parameters in iterative methods for ill-posed problems. (English) Zbl 0983.65056 SIAM J. Matrix Anal. Appl. 22, No. 4, 1204-1221 (2001). Reviewer: F.Szidarovszky (Tucson) MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{M. E. Kilmer} and \textit{D. P. O'Leary}, SIAM J. Matrix Anal. Appl. 22, No. 4, 1204--1221 (2001; Zbl 0983.65056) Full Text: DOI
Saad, Yousef; van der Vorst, Henk A. Iterative solution of linear systems in the 20th century. (English) Zbl 0965.65051 J. Comput. Appl. Math. 123, No. 1-2, 1-33 (2000). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 65F35 65Y05 65N55 65-03 01A60 PDFBibTeX XMLCite \textit{Y. Saad} and \textit{H. A. van der Vorst}, J. Comput. Appl. Math. 123, No. 1--2, 1--33 (2000; Zbl 0965.65051) Full Text: DOI
Zhu, Xiaojun; Lei, Guangtsai; Pan, Guangwen On application of fast and adaptive periodic Battle-Lemarie wavelets for modeling of multiple lossy transmission lines. (English) Zbl 0882.65123 J. Comput. Phys. 132, No. 2, 299-311 (1997). Reviewer: J.Elschner (Berlin) MSC: 65Z05 65N38 35Q60 78A30 PDFBibTeX XMLCite \textit{X. Zhu} et al., J. Comput. Phys. 132, No. 2, 299--311 (1997; Zbl 0882.65123) Full Text: DOI
Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk Templates for the solution of linear systems: building blocks for iterative methods. (English) Zbl 0814.65030 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xiii, 112 p. (1993). Reviewer: N.Köckler (Paderborn) MSC: 65F10 65-02 15-04 65F50 65F35 65Y05 68W30 PDFBibTeX XMLCite \textit{R. Barrett} et al., Templates for the solution of linear systems: building blocks for iterative methods. Philadelphia, PA: SIAM (1993; Zbl 0814.65030)
Barlow, Jesse L. Numerical aspects of solving linear least squares problems. (English) Zbl 0799.65045 Rao, C. R. (ed.), Computational statistics. Amsterdam: North-Holland. Handb. Stat. 9, 303-376 (1993). Reviewer: L.F.Pau (Valbonne) MSC: 65F20 65F15 65F10 65F50 65F30 65C99 62J05 PDFBibTeX XMLCite \textit{J. L. Barlow}, Handb. Stat. 9, 303--376 (1993; Zbl 0799.65045)
van der Vorst, Henk A. Large tridiagonal and block tridiagonal linear systems on vector and parallel computers. (English) Zbl 0632.65034 Parallel Comput. 5, 45-54 (1987). Reviewer: V.Seppälä MSC: 65F10 65F50 65Y05 15A23 PDFBibTeX XMLCite \textit{H. A. van der Vorst}, Parallel Comput. 5, 45--54 (1987; Zbl 0632.65034) Full Text: DOI
Nolet, Guust Solving or resolving inadequate and noisy tomographic systems. (English) Zbl 0589.65086 J. Comput. Phys. 61, 463-482 (1985). Reviewer: A.K.Louis MSC: 65R10 65F10 86A15 44A15 PDFBibTeX XMLCite \textit{G. Nolet}, J. Comput. Phys. 61, 463--482 (1985; Zbl 0589.65086) Full Text: DOI Link