Carson, Erin C.; Rozložník, Miroslav; Strakoš, Zdeněk; Tichý, Petr; Tuma, Miroslav The numerical stability analysis of pipelined conjugate gradient methods: historical context and methodology. (English) Zbl 1416.65080 SIAM J. Sci. Comput. 40, No. 5, A3549-A3580 (2018). MSC: 65F10 65G50 65Y05 65F15 PDFBibTeX XMLCite \textit{E. C. Carson} et al., SIAM J. Sci. Comput. 40, No. 5, A3549--A3580 (2018; Zbl 1416.65080) Full Text: DOI
Jiránek, Pavel; Strakoš, Zdeněk; Vohralík, Martin A posteriori error estimates including algebraic error and stopping criteria for iterative solvers. (English) Zbl 1215.65168 SIAM J. Sci. Comput. 32, No. 3, 1567-1590 (2010). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N15 65F10 65N08 35J25 65N50 PDFBibTeX XMLCite \textit{P. Jiránek} et al., SIAM J. Sci. Comput. 32, No. 3, 1567--1590 (2010; Zbl 1215.65168) Full Text: DOI
Meurant, Gérard; Strakoš, Zdenek The Lanczos and conjugate gradient algorithms in finite precision arithmetic. (English) Zbl 1113.65032 Acta Numerica 15, 471-542 (2006). Reviewer: Thomas Sonar (Braunschweig) MSC: 65F15 65F10 PDFBibTeX XMLCite \textit{G. Meurant} and \textit{Z. Strakoš}, Acta Numerica 15, 471--542 (2006; Zbl 1113.65032) Full Text: DOI
Paige, Christopher C.; Rozlozník, Miroslav; Strakoš, Zdenek Modified Gram-Schmidt (MGS), least squares, and backward stability of MGS-GMRES. (English) Zbl 1113.65028 SIAM J. Matrix Anal. Appl. 28, No. 1, 264-284 (2006). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65F20 65F25 65F35 65F50 65G50 PDFBibTeX XMLCite \textit{C. C. Paige} et al., SIAM J. Matrix Anal. Appl. 28, No. 1, 264--284 (2006; Zbl 1113.65028) Full Text: DOI
Strakoš, Zdeněk; Tichý, Petr Error estimation in preconditioned conjugate gradients. (English) Zbl 1095.65029 BIT 45, No. 4, 789-817 (2005). Reviewer: Raffaella Pavani (Milano) MSC: 65F10 65F35 PDFBibTeX XMLCite \textit{Z. Strakoš} and \textit{P. Tichý}, BIT 45, No. 4, 789--817 (2005; Zbl 1095.65029) Full Text: DOI
Strakoš, Z.; Liesen, J. On numerical stability in large scale linear algebraic computations. (English) Zbl 1069.65030 ZAMM, Z. Angew. Math. Mech. 85, No. 5, 307-325 (2005). MSC: 65F10 65F15 65G20 65G50 PDFBibTeX XMLCite \textit{Z. Strakoš} and \textit{J. Liesen}, ZAMM, Z. Angew. Math. Mech. 85, No. 5, 307--325 (2005; Zbl 1069.65030) Full Text: DOI
Strakoš, Zdeněk; Tichý, Petr On error estimation in the conjugate gradient method and why it works in finite precision computations. (English) Zbl 1026.65027 ETNA, Electron. Trans. Numer. Anal. 13, 56-80 (2002). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 65F25 65G50 PDFBibTeX XMLCite \textit{Z. Strakoš} and \textit{P. Tichý}, ETNA, Electron. Trans. Numer. Anal. 13, 56--80 (2002; Zbl 1026.65027) Full Text: EuDML EMIS
Paige, Christopher C.; Strakoš, Zdenek Bounds for the least squares distance using scaled total least squares. (English) Zbl 0998.65045 Numer. Math. 91, No. 1, 93-115 (2002). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65F20 65F10 PDFBibTeX XMLCite \textit{C. C. Paige} and \textit{Z. Strakoš}, Numer. Math. 91, No. 1, 93--115 (2002; Zbl 0998.65045) Full Text: DOI
Paige, Christopher C.; Strakos, Zdenvek Residual and backward error bounds in minimum residual Krylov subspace methods. (English) Zbl 1035.65031 SIAM J. Sci. Comput. 23, No. 6, 1898-1923 (2002). Reviewer: Evgenij D’yakonov (Moskva) MSC: 65F10 65F35 PDFBibTeX XMLCite \textit{C. C. Paige} and \textit{Z. Strakos}, SIAM J. Sci. Comput. 23, No. 6, 1898--1923 (2002; Zbl 1035.65031) Full Text: DOI
Liesen, J.; Rozlozník, M.; Strakos, Z. Least squares residuals and minimal residual methods. (English) Zbl 1012.65037 SIAM J. Sci. Comput. 23, No. 5, 1503-1525 (2002). Reviewer: Horst Hollatz (Magdeburg) MSC: 65F20 65F25 65F10 PDFBibTeX XMLCite \textit{J. Liesen} et al., SIAM J. Sci. Comput. 23, No. 5, 1503--1525 (2002; Zbl 1012.65037) Full Text: DOI