Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro The singular value decomposition: anatomy of optimizing an algorithm for extreme scale. (English) Zbl 1410.65114 SIAM Rev. 60, No. 4, 808-865 (2018). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 65Y15 15A18 15A23 65Y05 PDFBibTeX XMLCite \textit{J. Dongarra} et al., SIAM Rev. 60, No. 4, 808--865 (2018; Zbl 1410.65114) Full Text: DOI
Sewell, Granville Computational methods of linear algebra. 3rd ed. (English) Zbl 1302.65068 Hackensack, NJ: World Scientific (ISBN 978-981-4603-85-0/hbk; 978-981-4603-86-7/ebook). x, 318 p. (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65Fxx 65-01 65K05 65Y05 90C05 65D07 65T50 65D05 65G50 65D10 PDFBibTeX XMLCite \textit{G. Sewell}, Computational methods of linear algebra. 3rd ed. Hackensack, NJ: World Scientific (2014; Zbl 1302.65068) Full Text: DOI
Morgan, Ronald B. Preconditioning eigenvalues and some comparison of solvers. (English) Zbl 0979.65028 J. Comput. Appl. Math. 123, No. 1-2, 101-115 (2000). Reviewer: Zhen Mei (North York) MSC: 65F15 65F35 PDFBibTeX XMLCite \textit{R. B. Morgan}, J. Comput. Appl. Math. 123, No. 1--2, 101--115 (2000; Zbl 0979.65028) Full Text: DOI
Morzyński, Marek; Afanasiev, Konstantin; Thiele, Frank Solution of the eigenvalue problems resulting from global non-parallel flow stability analysis. (English) Zbl 0959.76045 Comput. Methods Appl. Mech. Eng. 169, No. 1-2, 161-176 (1999). MSC: 76M10 76E09 PDFBibTeX XMLCite \textit{M. Morzyński} et al., Comput. Methods Appl. Mech. Eng. 169, No. 1--2, 161--176 (1999; Zbl 0959.76045) Full Text: DOI
Calvetti, D.; Reichel, L. A hybrid iterative method for symmetric indefinite linear systems. (English) Zbl 0927.65048 J. Comput. Appl. Math. 92, No. 2, 109-133 (1998). Reviewer: Th.Sonar (Hamburg) MSC: 65F10 PDFBibTeX XMLCite \textit{D. Calvetti} and \textit{L. Reichel}, J. Comput. Appl. Math. 92, No. 2, 109--133 (1998; Zbl 0927.65048) Full Text: DOI
Dhillon, Inderjit S. Current inverse iteration software can fail. (English) Zbl 0918.65025 BIT 38, No. 4, 685-704 (1998). Reviewer: P.Narain (Bombay) MSC: 65F15 65F25 65Y15 PDFBibTeX XMLCite \textit{I. S. Dhillon}, BIT 38, No. 4, 685--704 (1998; Zbl 0918.65025) Full Text: DOI
Hansen, Per Christian Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. (English) Zbl 0890.65037 SIAM Monographs on Mathematical Modeling and Computation, 4. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 247 p. (1997). Reviewer: C.W.Groetsch (Cincinnati) MSC: 65F20 65J20 47A50 15A09 65R30 45B05 65-02 PDFBibTeX XMLCite \textit{P. C. Hansen}, Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. Philadelphia, PA: SIAM (1997; Zbl 0890.65037) Full Text: DOI
Li, Kuiyuan; Li, Tien-Yien; Zeng, Zhonggang An algorithm for the generalized symmetric tridiagonal eigenvalue problem. (English) Zbl 0821.65018 Numer. Algorithms 8, No. 2-4, 269-291 (1994). Reviewer: L.P.Lebedev (Rostov-na-Donu) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{K. Li} et al., Numer. Algorithms 8, No. 2--4, 269--291 (1994; Zbl 0821.65018) Full Text: DOI
Jessup, Elizabeth R.; Ipsen, Ilse C. F. Improving the accuracy of inverse iteration. (English) Zbl 0758.65032 SIAM J. Sci. Stat. Comput. 13, No. 2, 550-572 (1992). Reviewer: E.Kreyszig (Ottawa) MSC: 65F15 PDFBibTeX XMLCite \textit{E. R. Jessup} and \textit{I. C. F. Ipsen}, SIAM J. Sci. Stat. Comput. 13, No. 2, 550--572 (1992; Zbl 0758.65032) Full Text: DOI
Li, Tien-Yien; Zhang, Hong; Sun, Xian-He Parallel homotopy algorithm for the symmetric tridiagonal eigenvalue problem. (English) Zbl 0739.65035 SIAM J. Sci. Stat. Comput. 12, No. 3, 469-487 (1991). Reviewer: Myron Sussman (Bethel Park) MSC: 65F15 65Y05 65F50 65Y20 PDFBibTeX XMLCite \textit{T.-Y. Li} et al., SIAM J. Sci. Stat. Comput. 12, No. 3, 469--487 (1991; Zbl 0739.65035) Full Text: DOI
Tuchman, Allan M.; Berry, Michael W. Matrix visualization in the design of numerical algorithms. (English) Zbl 0756.65169 ORSA J. Comput. 2, No. 1, 84-92 (1990). Reviewer: H.Guggenheimer (West Hempstead) MSC: 65D18 68U05 65F10 65F15 PDFBibTeX XMLCite \textit{A. M. Tuchman} and \textit{M. W. Berry}, ORSA J. Comput. 2, No. 1, 84--92 (1990; Zbl 0756.65169) Full Text: DOI Link
Köckler, Norbert Numerische Algorithmen in Softwaresystemen unter besonderer Berücksichtigung der NAG-Bibliothek. (Numerical algorithms in software systems under special regard of the NAG library). (German) Zbl 0708.65001 Stuttgart: B.G. Teubner. xiv, 394 S. DM 58.00 (mit Diskette) (1990). Reviewer: W.Govaerts MSC: 65-04 65-02 65Fxx 65Hxx 65K05 65Dxx 65Lxx 65Nxx 65Mxx 15-04 90-04 35-04 12-04 34-04 PDFBibTeX XMLCite \textit{N. Köckler}, Numerische Algorithmen in Softwaresystemen unter besonderer Berücksichtigung der NAG-Bibliothek. (Numerical algorithms in software systems under special regard of the NAG library). Stuttgart: B.G. Teubner (1990; Zbl 0708.65001)
Deville, M. O.; Mund, E. H. Finite-element preconditioning for pseudospectral solutions of elliptic problems. (English) Zbl 0701.65075 SIAM J. Sci. Stat. Comput. 11, No. 2, 311-342 (1990). Reviewer: J.D.P.Donnelly MSC: 65N38 65N30 65F35 35J25 PDFBibTeX XMLCite \textit{M. O. Deville} and \textit{E. H. Mund}, SIAM J. Sci. Stat. Comput. 11, No. 2, 311--342 (1990; Zbl 0701.65075) Full Text: DOI
Kerner, W. Large-scale complex eigenvalue problems. (English) Zbl 0685.65028 J. Comput. Phys. 85, No. 1, 1-85 (1989). Reviewer: M.Jung MSC: 65F15 65F50 65-02 PDFBibTeX XMLCite \textit{W. Kerner}, J. Comput. Phys. 85, No. 1, 1--85 (1989; Zbl 0685.65028) Full Text: DOI
Rodrigues, José F. D.; Gmuer, Thomas E. C. A subspace iteration method for the eigensolution of large undamped gyroscopic systems. (English) Zbl 0669.70009 Int. J. Numer. Methods Eng. 28, No. 3, 511-522 (1989). MSC: 70E05 70-08 PDFBibTeX XMLCite \textit{J. F. D. Rodrigues} and \textit{T. E. C. Gmuer}, Int. J. Numer. Methods Eng. 28, No. 3, 511--522 (1989; Zbl 0669.70009) Full Text: DOI
Grimes, Roger G.; Simon, Horst D. Solution of large, dense symmetric generalized eigenvalue problems using secondary storage. (English) Zbl 0648.65034 ACM Trans. Math. Softw. 14, No. 3, 241-256 (1988). MSC: 65F15 65F50 65Y05 PDFBibTeX XMLCite \textit{R. G. Grimes} and \textit{H. D. Simon}, ACM Trans. Math. Softw. 14, No. 3, 241--256 (1988; Zbl 0648.65034) Full Text: DOI Link
Brown, Peter N.; Hindmarsh, Alan C. Matrix-free methods for stiff systems of ODE’s. (English) Zbl 0615.65078 SIAM J. Numer. Anal. 23, 610-638 (1986). Reviewer: J.Oliver MSC: 65L05 34A34 65H10 PDFBibTeX XMLCite \textit{P. N. Brown} and \textit{A. C. Hindmarsh}, SIAM J. Numer. Anal. 23, 610--638 (1986; Zbl 0615.65078) Full Text: DOI
Vandewalle, J.; Staar, J.; de Moor, B.; Lauwers, J. An adaptive singular value decomposition algorithm and its application to adaptive realization. (English) Zbl 0556.65026 Analysis and optimization of systems, Proc. 6th int. Conf., Nice 1984, Part 2, Lect. Notes Control Inf. Sci. 63, 32-47 (1984). Reviewer: L.Elsner MSC: 65F15 15A18 65F30 93B40 PDFBibTeX XML
Anderson, Leonard R.; Brewer, Dennis W.; Baykan, A. Rasim Numerical solution of the symmetric Riccati equation through Riccati iteration. (English) Zbl 0517.93022 Optim. Control Appl. Methods 4, 239-251 (1983). MSC: 93B40 15A24 65F15 65H10 93C05 93C15 PDFBibTeX XMLCite \textit{L. R. Anderson} et al., Optim. Control Appl. Methods 4, 239--251 (1983; Zbl 0517.93022) Full Text: DOI