Mathioudakis, E. N.; Papadopoulou, E. P.; Saridakis, Y. G. Non-stationary iterative schemes for the solution of elliptic collocation systems. (English) Zbl 0944.65034 Lipitakis, Elias A. (ed.), HERCMA ’98. Proceedings of the 4th Hellenic-European conference on Computer mathematics and its applications. Athens, Greece, September 24-26, 1998. In 2 vols. Athens: LEA, Athens University of Economics and Business, Department of Informatics. 1044-1051 (1998). MSC: 65F10 65Y20 65F35 65N35 35J05 PDFBibTeX XMLCite \textit{E. N. Mathioudakis} et al., in: HERCMA '98. Proceedings of the 4th Hellenic-European conference on Computer mathematics and its applications. Athens, Greece, September 24--16, 1998. In 2 vols. Athens: LEA, Athens University of Economics and Business, Department of Informatics. 1044--1051 (1998; Zbl 0944.65034)
Burrage, K.; Erhel, J. On the performance of various adaptive preconditioned GMRES strategies. (English) Zbl 0937.65036 Numer. Linear Algebra Appl. 5, No. 2, 101-121 (1998). Reviewer: Jan Zítko (Praha) MSC: 65F10 65F35 PDFBibTeX XMLCite \textit{K. Burrage} and \textit{J. Erhel}, Numer. Linear Algebra Appl. 5, No. 2, 101--121 (1998; Zbl 0937.65036) Full Text: DOI
Valente, F. P.; Pina, H. L. G. Iterative solvers for BEM algebraic systems of equations. (English) Zbl 0946.65122 Eng. Anal. Bound. Elem. 22, No. 2, 117-124 (1998). Reviewer: U.Langer (Linz) MSC: 65N38 65F35 35J25 65F10 PDFBibTeX XMLCite \textit{F. P. Valente} and \textit{H. L. G. Pina}, Eng. Anal. Bound. Elem. 22, No. 2, 117--124 (1998; Zbl 0946.65122) Full Text: DOI
Podhaisky, H.; Weiner, R.; Schmitt, B. A. Numerical experiments with Krylov integrators. (English) Zbl 0924.65065 Appl. Numer. Math. 28, No. 2-4, 413-425 (1998). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65L05 34A34 34E13 65F10 65F35 PDFBibTeX XMLCite \textit{H. Podhaisky} et al., Appl. Numer. Math. 28, No. 2--4, 413--425 (1998; Zbl 0924.65065) Full Text: DOI
Schmitt, Bernhard A.; Weiner, Rüdiger Polynomial preconditioning in Krylov-ROW-methods. (English) Zbl 0924.65066 Appl. Numer. Math. 28, No. 2-4, 427-437 (1998). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65L05 34A34 34E13 65F10 65F35 PDFBibTeX XMLCite \textit{B. A. Schmitt} and \textit{R. Weiner}, Appl. Numer. Math. 28, No. 2--4, 427--437 (1998; Zbl 0924.65066) Full Text: DOI
Zhang, T.; Golub, G. H.; Law, K. H. Eigenvalue perturbation and generalized Krylov subspace method. (English) Zbl 0931.65039 Appl. Numer. Math. 27, No. 2, 185-202 (1998). Reviewer: F.Uhlig (Auburn) MSC: 65F15 65F10 PDFBibTeX XMLCite \textit{T. Zhang} et al., Appl. Numer. Math. 27, No. 2, 185--202 (1998; Zbl 0931.65039) Full Text: DOI
Elman, Howard C.; O’Leary, Dianne P. Efficient iterative solution of the three-dimensional Helmholtz equation. (English) Zbl 0929.65089 J. Comput. Phys. 142, No. 1, 163-181 (1998). Reviewer: Mária Lukáčová (Brno) MSC: 65N06 35J05 65F10 65F35 PDFBibTeX XMLCite \textit{H. C. Elman} and \textit{D. P. O'Leary}, J. Comput. Phys. 142, No. 1, 163--181 (1998; Zbl 0929.65089) Full Text: DOI Link
Castillo, Paul; Saad, Yousef Preconditioning the matrix exponential operator with applications. (English) Zbl 0929.65024 J. Sci. Comput. 13, No. 3, 275-302 (1998). Reviewer: Emil Minchev (Sofia) MSC: 65F30 65F35 34A30 65L06 PDFBibTeX XMLCite \textit{P. Castillo} and \textit{Y. Saad}, J. Sci. Comput. 13, No. 3, 275--302 (1998; Zbl 0929.65024) Full Text: DOI
Toh, Kim-Chuan; Trefethen, Lloyd N. The Chebyshev polynomials of a matrix. (English) Zbl 0922.65019 SIAM J. Matrix Anal. Appl. 20, No. 2, 400-419 (1998). Reviewer: Alexey Alimov (Moskva) MSC: 65F10 15A60 65K05 PDFBibTeX XMLCite \textit{K.-C. Toh} and \textit{L. N. Trefethen}, SIAM J. Matrix Anal. Appl. 20, No. 2, 400--419 (1998; Zbl 0922.65019) Full Text: DOI
Holmgren, Sverker; Otto, Kurt A framework for polynomial preconditioners based on fast transforms. II: PDE applications. (English) Zbl 0917.65078 BIT 38, No. 4, 721-736 (1998). MSC: 65M06 65F10 65F35 35G10 35K25 65T50 PDFBibTeX XMLCite \textit{S. Holmgren} and \textit{K. Otto}, BIT 38, No. 4, 721--736 (1998; Zbl 0917.65078) Full Text: DOI
Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav An assessment of some preconditioning techniques in shell problems. (English) Zbl 0920.73348 Commun. Numer. Methods Eng. 14, No. 10, 897-906 (1998). MSC: 74S05 74K15 65F35 PDFBibTeX XMLCite \textit{M. Benzi} et al., Commun. Numer. Methods Eng. 14, No. 10, 897--906 (1998; Zbl 0920.73348) Full Text: DOI
Bristeau, M. O.; Erhel, J. Augmented conjugate gradient. Application in an iterative process for the solution of scattering problems. (English) Zbl 0924.65024 Numer. Algorithms 18, No. 1, 71-90 (1998). Reviewer: F.Luban (Bucureşti) MSC: 65F10 65F35 76Q05 PDFBibTeX XMLCite \textit{M. O. Bristeau} and \textit{J. Erhel}, Numer. Algorithms 18, No. 1, 71--90 (1998; Zbl 0924.65024) Full Text: DOI
Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J. Minimum residual methods for augmented systems. (English) Zbl 0914.65026 BIT 38, No. 3, 527-543 (1998). Reviewer: A.Meister (Hamburg) MSC: 65F10 65F35 65F50 PDFBibTeX XMLCite \textit{B. Fischer} et al., BIT 38, No. 3, 527--543 (1998; Zbl 0914.65026) Full Text: DOI
Fiebach, Franz-Peter The Krylov method for solving \(P(A)x=b\). (Krylov-Verfahren zur Lösung von \(P(A)x=b\).) (German) Zbl 0905.65044 Wuppertal: Univ. Gesamthochschule Wuppertal, 133 S. (1998). MSC: 65F10 65R20 45B05 65Z05 35Q40 81V05 PDFBibTeX XMLCite \textit{F.-P. Fiebach}, Krylov-Verfahren zur Lösung von \(P(A)x=b\). Wuppertal: Univ. Gesamthochschule Wuppertal (1998; Zbl 0905.65044)
Rey, Christian; Risler, Franck A Rayleigh-Ritz preconditioner for the iterative solution to large scale nonlinear problems. (English) Zbl 0908.65034 Numer. Algorithms 17, No. 3-4, 279-311 (1998). Reviewer: I.Coroian (Baia Mare) MSC: 65H10 65N55 65F35 74B20 PDFBibTeX XMLCite \textit{C. Rey} and \textit{F. Risler}, Numer. Algorithms 17, No. 3--4, 279--311 (1998; Zbl 0908.65034) Full Text: DOI
Amini, S.; Maines, N. D. Preconditioned Krylov subspace methods for boundary element solution of the Helmholtz equation. (English) Zbl 0907.65118 Int. J. Numer. Methods Eng. 41, No. 5, 875-898 (1998). Reviewer: G.Schmidt (Berlin) MSC: 65N38 65F35 65F10 35J05 PDFBibTeX XMLCite \textit{S. Amini} and \textit{N. D. Maines}, Int. J. Numer. Methods Eng. 41, No. 5, 875--898 (1998; Zbl 0907.65118) 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)
Saad, Y. Preconditioned Krylov subspace methods. (English) Zbl 0897.65022 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, 131-149 (1998). MSC: 65F10 65F50 65F35 PDFBibTeX XMLCite \textit{Y. Saad}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 508, 131--149 (1998; Zbl 0897.65022)
Hochbruck, Marlis; Lubich, Christian Exponential integrators for large systems of differential equations. (English) Zbl 0912.65058 SIAM J. Sci. Comput. 19, No. 5, 1552-1574 (1998). Reviewer: E.Hairer (Genève) MSC: 65L05 34A30 34A34 34E13 65F10 65M20 34L40 35K57 PDFBibTeX XMLCite \textit{M. Hochbruck} and \textit{C. Lubich}, SIAM J. Sci. Comput. 19, No. 5, 1552--1574 (1998; Zbl 0912.65058) Full Text: DOI
Ruhe, Axel Rational Krylov: A practical algorithm for large sparse nonsymmetric matrix pencils. (English) Zbl 0914.65036 SIAM J. Sci. Comput. 19, No. 5, 1535-1551 (1998). Reviewer: H.Matthies (Braunschweig) MSC: 65F15 65F50 15A22 PDFBibTeX XMLCite \textit{A. Ruhe}, SIAM J. Sci. Comput. 19, No. 5, 1535--1551 (1998; Zbl 0914.65036) Full Text: DOI
Chow, Edmond; Saad, Yousef Approximate inverse preconditioners via sparse-sparse iterations. (English) Zbl 0922.65034 SIAM J. Sci. Comput. 19, No. 3, 995-1023 (1998). Reviewer: U.Langer (Linz) MSC: 65F35 65F10 65F50 65Y05 PDFBibTeX XMLCite \textit{E. Chow} and \textit{Y. Saad}, SIAM J. Sci. Comput. 19, No. 3, 995--1023 (1998; Zbl 0922.65034) Full Text: DOI
Oosterlee, C. W.; Washio, T. An evaluation of parallel multigrid as a solver and a preconditioner for singularly perturbed problems. (English) Zbl 0913.65109 SIAM J. Sci. Comput. 19, No. 1, 87-110 (1998). Reviewer: S.F.McCormick (Boulder) MSC: 65N55 65Y05 35J05 35J25 65F10 65N30 65N12 65F35 35B25 PDFBibTeX XMLCite \textit{C. W. Oosterlee} and \textit{T. Washio}, SIAM J. Sci. Comput. 19, No. 1, 87--110 (1998; Zbl 0913.65109) Full Text: DOI
Druskin, V.; Greenbaum, A.; Knizhnerman, L. Using nonorthogonal Lanczos vectors in the computation of matrix functions. (English) Zbl 0912.65021 SIAM J. Sci. Comput. 19, No. 1, 38-54 (1998). Reviewer: D.Petcu (Timişoara) MSC: 65F10 65F15 65F30 PDFBibTeX XMLCite \textit{V. Druskin} et al., SIAM J. Sci. Comput. 19, No. 1, 38--54 (1998; Zbl 0912.65021) Full Text: DOI