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 × Cite Format Result Cite Review PDF Full Text: DOI
Willems, Paul R.; Lang, Bruno A framework for the \(\text{MR}^3\) algorithm: theory and implementation. (English) Zbl 1266.65061 SIAM J. Sci. Comput. 35, No. 2, A740-A766 (2013). MSC: 65F15 65G50 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Willems, Paul R.; Lang, Bruno The \(\mathrm{MR}^{3}\)-GK algorithm for the bidiagonal SVD. (English) Zbl 1287.65030 ETNA, Electron. Trans. Numer. Anal. 39, 1-21 (2012). MSC: 65F20 × Cite Format Result Cite Review PDF Full Text: EMIS
Willems, Paul R.; Lang, Bruno Block factorizations and qd-type transformations for the \(\mathrm{MR}^3\) algorithm. (English) Zbl 1321.65058 ETNA, Electron. Trans. Numer. Anal. 38, 363-400 (2011). MSC: 65F15 65G50 15A18 15A23 × Cite Format Result Cite Review PDF Full Text: EMIS
Vömel, Christof; Slemons, Jason Twisted factorization of a banded matrix. (English) Zbl 1169.65033 BIT 49, No. 2, 433-447 (2009). MSC: 65F15 65F05 65F50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Willems, Paul R.; Lang, Bruno; Vömel, Christof Computing the bidiagonal SVD using multiple relatively robust representations. (English) Zbl 1129.65027 SIAM J. Matrix Anal. Appl. 28, No. 4, 907-926 (2006). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65F15 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Marques, Osni A.; Riedy, E. Jason; Vömel, Christof Benefits of IEEE-754 features in modern symmetric tridiagonal eigensolvers. (English) Zbl 1221.65097 SIAM J. Sci. Comput. 28, No. 5, 1613-1633 (2006). MSC: 65F15 15A18 15A23 × Cite Format Result Cite Review PDF Full Text: DOI