Jia, Zhongxiao A convergence analysis of some Krylov subspace methods for large non-Hermitian linear systems. (Chinese. English summary) Zbl 1017.65029 Acta Math. Sin. 41, No. 5, 915-924 (1998). MSC: 65F10 41A10 PDFBibTeX XMLCite \textit{Z. Jia}, Acta Math. Sin. 41, No. 5, 915--924 (1998; Zbl 1017.65029)
Balandin, M. Yu.; Shurina, Eh. P. Some efficiency estimates for parallel algorithms for solving systems of linear algebraic equations on Krylov-type subspaces. (Russian. English summary) Zbl 0941.65032 Vychisl. Tekhnol. 3, No. 1, 23-30 (1998). Reviewer: N.I.Alexandrova (Novosibirsk) MSC: 65F10 65Y20 65Y05 65F50 PDFBibTeX XMLCite \textit{M. Yu. Balandin} and \textit{Eh. P. Shurina}, Vychisl. Tekhnol. 3, No. 1, 23--30 (1998; Zbl 0941.65032)
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)
Malhotra, Manish; Pinsky, Peter M. Parallel preconditioning based on \(h\)-hierarchical finite elements with application to acoustics. (English) Zbl 0963.76048 Comput. Methods Appl. Mech. Eng. 155, No. 1-2, 97-117 (1998). MSC: 76M10 76Q05 PDFBibTeX XMLCite \textit{M. Malhotra} and \textit{P. M. Pinsky}, Comput. Methods Appl. Mech. Eng. 155, No. 1--2, 97--117 (1998; Zbl 0963.76048) Full Text: DOI
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
Rozložník, Miroslav; Weiss, Rüdiger On the stable implementation of the generalized minimal error method. (English) Zbl 0929.65016 J. Comput. Appl. Math. 98, No. 1, 49-62 (1998). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 PDFBibTeX XMLCite \textit{M. Rozložník} and \textit{R. Weiss}, J. Comput. Appl. Math. 98, No. 1, 49--62 (1998; Zbl 0929.65016) 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
Frayssé, Valérie; Giraud, Luc; Kharraz-Aroussi, Hatim On the influence of the orthogonalization scheme on the parallel performance of GMRES. (English) Zbl 0928.65043 Pritchard, David (ed.) et al., Euro-Par ’98 parallel processing. 4th international Euro-Par conference, Southampton, GB, September 1–4, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1470, 751-762 (1998). MSC: 65F10 65F25 65Y05 PDFBibTeX XMLCite \textit{V. Frayssé} et al., Lect. Notes Comput. Sci. 1470, 751--762 (1998; Zbl 0928.65043)
Piquet, Jean; Vasseur, Xavier Comparisons between preconditioned BICGSTAB and a multigrid method for the resolution of the pressure equation in a Navier-Stokes solver. (English) Zbl 0940.76046 Hackbusch, Wolfgang (ed.) et al., Multigrid methods V. Proceedings of the 5th European multigrid conference, held in Stuttgart, Germany, October 1-4, 1996. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 3, 225-242 (1998). MSC: 76M20 76D05 PDFBibTeX XMLCite \textit{J. Piquet} and \textit{X. Vasseur}, Lect. Notes Comput. Sci. Eng. 3, 225--242 (1998; Zbl 0940.76046)
Zhang, S. L.; Natori, M.; Jin, C. H. Product-type Krylov-subspace methods for solving nonsymmetric linear systems. (English) Zbl 0932.65041 Fujita, H. (ed.) et al., Recent developments in domain decomposition methods and flow problems. Dedicated to Professor Hideo Kawarada on the occasion of his 60th birthday. Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. 11, 95-106 (1998). MSC: 65F10 PDFBibTeX XMLCite \textit{S. L. Zhang} et al., GAKUTO Int. Ser., Math. Sci. Appl. 11, 95--106 (1998; Zbl 0932.65041)
Zhong, Baojiang; Wang, Zhengsheng; Dai, Hua A variant of GCG for solving linear systems. (Chinese. English summary) Zbl 0919.65024 J. Nanjing Univ. Aeronaut. Astronaut. 30, No. 5, 515-520 (1998). MSC: 65F10 PDFBibTeX XMLCite \textit{B. Zhong} et al., J. Nanjing Univ. Aeronaut. Astronaut. 30, No. 5, 515--520 (1998; Zbl 0919.65024)
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
de Sturler, Eric Truncation strategies for optimal Krylov subspace methods. (English) Zbl 0960.65031 SIAM J. Numer. Anal. 36, No. 3, 864-889 (1998). MSC: 65F10 PDFBibTeX XMLCite \textit{E. de Sturler}, SIAM J. Numer. Anal. 36, No. 3, 864--889 (1998; Zbl 0960.65031) 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
Meister, Andreas Comparison of different Krylov subspace methods embedded in an implicit finite volume scheme for the computation of viscous and inviscid flow fields on unstructured grids. (English) Zbl 0935.76051 J. Comput. Phys. 140, No. 2, 311-345 (1998). MSC: 76M12 76N15 65F10 PDFBibTeX XMLCite \textit{A. Meister}, J. Comput. Phys. 140, No. 2, 311--345 (1998; Zbl 0935.76051) Full Text: DOI
Cao, Haiyan; Li, Xingwei CGS/GMRES\((k)\): An adaptive preconditioned CGS algorithm for nonsymmetric linear systems. (English) Zbl 0920.65016 Numer. Math., J. Chin. Univ. 7, No. 2, 145-158 (1998). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 PDFBibTeX XMLCite \textit{H. Cao} and \textit{X. Li}, Numer. Math., J. Chin. Univ. 7, No. 2, 145--158 (1998; Zbl 0920.65016)
Cao, Zhihao Total generalized minimum backward error algorithm for solving nonsymmetric linear systems. (English) Zbl 0924.65023 J. Comput. Math. 16, No. 6, 539-550 (1998). Reviewer: Petko Hr.Petkov (Sofia) MSC: 65F10 65Y20 PDFBibTeX XMLCite \textit{Z. Cao}, J. Comput. Math. 16, No. 6, 539--550 (1998; Zbl 0924.65023)
Gottlieb, Sigal; Fischer, Paul F. Modified conjugate gradient method for the solution of \(Ax=b\). (English) Zbl 0922.65020 J. Sci. Comput. 13, No. 2, 173-183 (1998). Reviewer: A.Bultheel (Leuven) MSC: 65F10 PDFBibTeX XMLCite \textit{S. Gottlieb} and \textit{P. F. Fischer}, J. Sci. Comput. 13, No. 2, 173--183 (1998; Zbl 0922.65020) Full Text: DOI
Sauren, M.; Bücker, H. M. On deriving the quasi-minimal residual method. (English) Zbl 0913.65029 SIAM Rev. 40, No. 4, 922-926 (1998). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 65F20 PDFBibTeX XMLCite \textit{M. Sauren} and \textit{H. M. Bücker}, SIAM Rev. 40, No. 4, 922--926 (1998; Zbl 0913.65029) 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
Jia, Zhongxiao The convergence of Krylov subspace methods for large unsymmetric linear systems. (English) Zbl 0921.65028 Acta Math. Sin., New Ser. 14, No. 4, 507-518 (1998). Reviewer: M.Plum (Karlsruhe) MSC: 65F10 PDFBibTeX XMLCite \textit{Z. Jia}, Acta Math. Sin., New Ser. 14, No. 4, 507--518 (1998; Zbl 0921.65028) Full Text: DOI
Webster, R. Efficient algebraic multigrid solvers with elementary restriction and prolongation. (English) Zbl 0928.76085 Int. J. Numer. Methods Fluids 28, No. 2, 317-336 (1998). MSC: 76M25 76D05 65F10 PDFBibTeX XMLCite \textit{R. Webster}, Int. J. Numer. Methods Fluids 28, No. 2, 317--336 (1998; Zbl 0928.76085) 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)
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. Numerical linear algebra for high-performance computers. (English) Zbl 0914.65014 Software - Environments - Tools. 7. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xviii, 342 p. (1998). Reviewer: W.Gander (Zürich) MSC: 65Fxx 65-01 65Y10 65Y05 65Y15 PDFBibTeX XMLCite \textit{J. J. Dongarra} et al., Numerical linear algebra for high-performance computers. Philadelphia, PA: SIAM (1998; Zbl 0914.65014) 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
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
Hochbruck, Marlis; Lubich, Christian Error analysis of Krylov methods in a nutshell. (English) Zbl 0914.65024 SIAM J. Sci. Comput. 19, No. 2, 695-701 (1998). Reviewer: Liu Xinguo (Qingdao) MSC: 65F10 PDFBibTeX XMLCite \textit{M. Hochbruck} and \textit{C. Lubich}, SIAM J. Sci. Comput. 19, No. 2, 695--701 (1998; Zbl 0914.65024) Full Text: DOI
Pernice, Michael; Walker, Homer F. NITSOL: A Newton iterative solver for nonlinear systems. (English) Zbl 0916.65049 SIAM J. Sci. Comput. 19, No. 1, 302-318 (1998). Reviewer: B.Döring (Düsseldorf) MSC: 65H10 65Y05 PDFBibTeX XMLCite \textit{M. Pernice} and \textit{H. F. Walker}, SIAM J. Sci. Comput. 19, No. 1, 302--318 (1998; Zbl 0916.65049) 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
Frommer, Andreas; Glässner, Uwe Restarted GMRES for shifted linear systems. (English) Zbl 0912.65023 SIAM J. Sci. Comput. 19, No. 1, 15-26 (1998). Reviewer: D.Petcu (Timişoara) MSC: 65F10 81T25 81V05 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{U. Glässner}, SIAM J. Sci. Comput. 19, No. 1, 15--26 (1998; Zbl 0912.65023) Full Text: DOI
Druskin, Vladimir; Knizhnerman, Leonid Extended Krylov subspaces: Approximation of the matrix square root and related functions. (English) Zbl 0912.65022 SIAM J. Matrix Anal. Appl. 19, No. 3, 755-771 (1998). Reviewer: D.Petcu (Timişoara) MSC: 65F10 65N40 86A25 35J25 PDFBibTeX XMLCite \textit{V. Druskin} and \textit{L. Knizhnerman}, SIAM J. Matrix Anal. Appl. 19, No. 3, 755--771 (1998; Zbl 0912.65022) Full Text: DOI
Heyouni, M.; Sadok, H. On a variable smoothing procedure for Krylov subspace methods. (English) Zbl 0886.65031 Linear Algebra Appl. 268, 131-149 (1998). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 PDFBibTeX XMLCite \textit{M. Heyouni} and \textit{H. Sadok}, Linear Algebra Appl. 268, 131--149 (1998; Zbl 0886.65031) Full Text: DOI