van Gijzen, Martin B.; Sleijpen, Gerard L. G.; Zemke, Jens-Peter M. Flexible and multi-shift induced dimension reduction algorithms for solving large sparse linear systems. (English) Zbl 1363.65058 Numer. Linear Algebra Appl. 22, No. 1, 1-25 (2015). MSC: 65F10 65F50 PDFBibTeX XMLCite \textit{M. B. van Gijzen} et al., Numer. Linear Algebra Appl. 22, No. 1, 1--25 (2015; Zbl 1363.65058) Full Text: DOI Link
Abe, Kuniyoshi; Sleijpen, Gerard L. G. Solving linear equations with a stabilized GPBiCG method. (English) Zbl 1263.65031 Appl. Numer. Math. 67, 4-16 (2013). MSC: 65F10 PDFBibTeX XMLCite \textit{K. Abe} and \textit{G. L. G. Sleijpen}, Appl. Numer. Math. 67, 4--16 (2013; Zbl 1263.65031) Full Text: DOI
Abe, Kuniyoshi; Sleijpen, Gerard L. G. Hybrid Bi-CG methods with a Bi-CG formulation closer to the IDR approach. (English) Zbl 1280.65032 Appl. Math. Comput. 218, No. 22, 10889-10899 (2012). MSC: 65F10 PDFBibTeX XMLCite \textit{K. Abe} and \textit{G. L. G. Sleijpen}, Appl. Math. Comput. 218, No. 22, 10889--10899 (2012; Zbl 1280.65032) Full Text: DOI
Sleijpen, Gerard L. G.; Van Gijzen, Martin B. Exploiting BiCGSTAB(\(\ell\)) strategies to induce dimension reduction. (English) Zbl 1220.65042 SIAM J. Sci. Comput. 32, No. 5, 2687-2709 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 PDFBibTeX XMLCite \textit{G. L. G. Sleijpen} and \textit{M. B. Van Gijzen}, SIAM J. Sci. Comput. 32, No. 5, 2687--2709 (2010; Zbl 1220.65042) Full Text: DOI Link
Sleijpen, Gerard L. G.; Sonneveld, Peter; van Gijzen, Martin B. Bi-CGSTAB as an induced dimension reduction method. (English) Zbl 1200.65024 Appl. Numer. Math. 60, No. 11, 1100-1114 (2010). MSC: 65F10 65F15 65N25 PDFBibTeX XMLCite \textit{G. L. G. Sleijpen} et al., Appl. Numer. Math. 60, No. 11, 1100--1114 (2010; Zbl 1200.65024) Full Text: DOI
Abe, Kuniyoshi; Sleijpen, Gerard L. G. BiCR variants of the hybrid BiCG methods for solving linear systems with nonsymmetric matrices. (English) Zbl 1189.65058 J. Comput. Appl. Math. 234, No. 4, 985-994 (2010). MSC: 65F10 PDFBibTeX XMLCite \textit{K. Abe} and \textit{G. L. G. Sleijpen}, J. Comput. Appl. Math. 234, No. 4, 985--994 (2010; Zbl 1189.65058) Full Text: DOI
van den Eshof, Jasper; Sleijpen, Gerard L. G.; van Gijzen, Martin B. Relaxation strategies for nested Krylov methods. (English) Zbl 1069.65033 J. Comput. Appl. Math. 177, No. 2, 347-365 (2005). Reviewer: Constantin Popa (Constanta) MSC: 65F10 65F35 PDFBibTeX XMLCite \textit{J. van den Eshof} et al., J. Comput. Appl. Math. 177, No. 2, 347--365 (2005; Zbl 1069.65033) Full Text: DOI
van den Eshof, Jasper; Sleijpen, Gerard L. G.; van Gijzen, Martin B. Efficient iteration methods for Schur complement systems. (English) Zbl 1060.65587 Psihoyios, G. (ed.), NACoM-2003 extended abstracts. Proceedings of the international conference on numerical analysis and computational mathematics, Cambridge, UK, May 23–26, 2003. (Contained as No. 2 in the journal ANACM 1, No. 1-2, 524 p. (2004)). Weinheim: Wiley-VCH (ISBN 3-527-40462-7). 65-68 (2004). MSC: 65F10 65F35 86A05 PDFBibTeX XMLCite \textit{J. van den Eshof} et al., in: NACoM-2003 extended abstracts. Proceedings of the international conference on numerical analysis and computational mathematics, Cambridge, UK, May 23--26, 2003. (Contained as No. 2 in the journal ANACM 1, No. 1-2, 524 p. (2004)). Weinheim: Wiley-VCH. 65--68 (2004; Zbl 1060.65587)
van den Eshof, Jasper; Sleijpen, Gerard L. G. Inexact Krylov subspace methods for linear systems. (English) Zbl 1079.65036 SIAM J. Matrix Anal. Appl. 26, No. 1, 125-153 (2004). Reviewer: Petko Hr. Petkov (Sofia) MSC: 65F10 65G50 65F30 PDFBibTeX XMLCite \textit{J. van den Eshof} and \textit{G. L. G. Sleijpen}, SIAM J. Matrix Anal. Appl. 26, No. 1, 125--153 (2004; Zbl 1079.65036) Full Text: DOI
van den Eshof, Jasper; Sleijpen, Gerard L. G. Accurate conjugate gradient methods for families of shifted systems. (English) Zbl 1053.65023 Appl. Numer. Math. 49, No. 1, 17-37 (2004). Reviewer: Volker John (Magdeburg) MSC: 65F10 65F22 PDFBibTeX XMLCite \textit{J. van den Eshof} and \textit{G. L. G. Sleijpen}, Appl. Numer. Math. 49, No. 1, 17--37 (2004; Zbl 1053.65023) Full Text: DOI Link
Genseberger, Menno; Sleijpen, Gerard L. G. Alternative correction equations in the Jacobi-Davidson method. (English) Zbl 0983.65047 Numer. Linear Algebra Appl. 6, No. 3, 235-253 (1999). Reviewer: Miroslav Tůma (Praha) MSC: 65F15 65F10 PDFBibTeX XMLCite \textit{M. Genseberger} and \textit{G. L. G. Sleijpen}, Numer. Linear Algebra Appl. 6, No. 3, 235--253 (1999; Zbl 0983.65047) Full Text: DOI
Van der Vorst, H. A.; Sleijpen, G. L. G. Iterative Bi-CG type methods and implementation aspects. (English) Zbl 0898.65015 Winter Althaus, G. (ed.) et al., Algorithms for large scale linear algebraic systems. Applications in science and engineering. Proceedings, Gran Canaria, Spain, June 23 - July 6, 1996. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 508, 217-253 (1998). MSC: 65F10 65-02 65F35 65F50 PDFBibTeX XMLCite \textit{H. A. Van der Vorst} and \textit{G. L. G. Sleijpen}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 508, 217--253 (1998; Zbl 0898.65015)
Fokkema, Diederik R.; Sleijpen, Gerard L. G.; Van der Vorst, Henk A. Accelerated inexact Newton schemes for large systems of nonlinear equations. (English) Zbl 0916.65050 SIAM J. Sci. Comput. 19, No. 2, 657-674 (1998). Reviewer: B.Döring (Düsseldorf) MSC: 65H10 65F15 PDFBibTeX XMLCite \textit{D. R. Fokkema} et al., SIAM J. Sci. Comput. 19, No. 2, 657--674 (1998; Zbl 0916.65050) Full Text: DOI
Fokkema, Diederik R.; Sleijpen, Gerard L. G.; Van der Vorst, Henk A. Generalized conjugate gradient squared. (English) Zbl 0856.65021 J. Comput. Appl. Math. 71, No. 1, 125-146 (1996). Reviewer: M.Jung (Chemnitz) MSC: 65F10 65H10 PDFBibTeX XMLCite \textit{D. R. Fokkema} et al., J. Comput. Appl. Math. 71, No. 1, 125--146 (1996; Zbl 0856.65021) Full Text: DOI
Sleijpen, Gerard L. G.; Fokkema, Diederik R. BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum. (English) Zbl 0820.65016 ETNA, Electron. Trans. Numer. Anal. 1, 11-32 (1993). MSC: 65F10 PDFBibTeX XMLCite \textit{G. L. G. Sleijpen} and \textit{D. R. Fokkema}, ETNA, Electron. Trans. Numer. Anal. 1, 11--32 (1993; Zbl 0820.65016) Full Text: EuDML EMIS