메뉴 건너뛰기




Volumn 69, Issue 2, 1996, Pages 303-318

Restarted GMRES preconditioned by deflation

Author keywords

Deflation; GMRES; Invariant subspace; Preconditioning

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; LINEAR CONTROL SYSTEMS; NUMERICAL METHODS; PHASE SPACE METHODS;

EID: 0030143587     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(95)00047-X     Document Type: Article
Times cited : (164)

References (19)
  • 3
    • 0037861711 scopus 로고
    • Some observations on the convergence behavior of GMRES
    • Faculty of technical mathematics and informatics, Delft
    • Y. Huang and H. van der Vorst, Some observations on the convergence behavior of GMRES, Technical Report 89-09, Faculty of technical mathematics and informatics, Delft, 1989.
    • (1989) Technical Report 89-09
    • Huang, Y.1    Van Der Vorst, H.2
  • 4
    • 14944355468 scopus 로고
    • Numerical treatment of bifurcation problems by adaptive condensation
    • Weber, Kupper and H.D. Mittelmann, Eds., Birkhäuser, Basel
    • H. Jarausch and W. Mackens, Numerical treatment of bifurcation problems by adaptive condensation, in: Weber, Kupper and H.D. Mittelmann, Eds., Numerical Methods for Bifurcation Problems (Birkhäuser, Basel, 1987).
    • (1987) Numerical Methods for Bifurcation Problems
    • Jarausch, H.1    Mackens, W.2
  • 5
    • 0000493104 scopus 로고
    • A robust GMRES-based adaptive polynomial preconditioning algorithm for nonsymmetric linear systems
    • W. Joubert, A robust GMRES-based adaptive polynomial preconditioning algorithm for nonsymmetric linear systems, SIAM J. Sci. Comput. 15 (1994) 427-439.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 427-439
    • Joubert, W.1
  • 6
    • 84985402808 scopus 로고
    • On convergence behaviour of the restarted gmres algorithm for solving nonsymmetric linear systems
    • W. Joubert, On convergence behaviour of the restarted gmres algorithm for solving nonsymmetric linear systems, J. Numer. Linear Algebra Appl. 1 (1994) 427-448.
    • (1994) J. Numer. Linear Algebra Appl. , vol.1 , pp. 427-448
    • Joubert, W.1
  • 7
    • 0000051186 scopus 로고
    • Polynomial preconditioners for conjugate gradient calculations
    • C.A. Michelli, O.G. Johnson and G. Paul, Polynomial preconditioners for conjugate gradient calculations, SIAM J. Numer. Anal. 20(2) (1983) 362-376.
    • (1983) SIAM J. Numer. Anal. , vol.20 , Issue.2 , pp. 362-376
    • Michelli, C.A.1    Johnson, O.G.2    Paul, G.3
  • 8
    • 0042693753 scopus 로고
    • A deflation technique for linear systems of equations
    • ETH, Zurich, June
    • B. Pohl, K. Burrage and J. Erhel, A deflation technique for linear systems of equations, Technical Report 94-02, ETH, Zurich, June 1994.
    • (1994) Technical Report 94-02
    • Pohl, B.1    Burrage, K.2    Erhel, J.3
  • 9
    • 21344496401 scopus 로고
    • An adaptive chebyshev iterative method for nonsymetric linear systems based on modified moments
    • L. Reichel, D. Calvetti and G.H. Golub, An adaptive Chebyshev iterative method for nonsymetric linear systems based on modified moments, Numer. Math. 61 (1994) 21-40.
    • (1994) Numer. Math. , vol.61 , pp. 21-40
    • Reichel, L.1    Calvetti, D.2    Golub, G.H.3
  • 10
    • 0001249889 scopus 로고
    • Practical use of polynomial preconditioning for the conjugate gradient method
    • Y. Saad, Practical use of polynomial preconditioning for the conjugate gradient method, SIAM J. Sci. Statist. Comput. 6(4) (1985) 865-881.
    • (1985) SIAM J. Sci. Statist. Comput. , vol.6 , Issue.4 , pp. 865-881
    • Saad, Y.1
  • 11
    • 0000954680 scopus 로고
    • A flexible inner-outer preconditioned GMRES algorithm
    • Y. Saad, A flexible inner-outer preconditioned GMRES algorithm, SIAM J. Sci. Statist. Comput. 14(2) (1993) 461-469.
    • (1993) SIAM J. Sci. Statist. Comput. , vol.14 , Issue.2 , pp. 461-469
    • Saad, Y.1
  • 12
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. Saad and M.H. Schultz, GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Statist. Comput. 1 (1986) 856-869.
    • (1986) SIAM J. Sci. Statist. Comput. , vol.1 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 13
    • 0001581067 scopus 로고
    • Adaptive polynomial preconditioning for hermitian indefinite linear systems
    • P.E. Saylor, S.F. Ashby and T.A. Manteuffel, Adaptive polynomial preconditioning for Hermitian indefinite linear systems, BIT 29 (1989) 583-609.
    • (1989) BIT , vol.29 , pp. 583-609
    • Saylor, P.E.1    Ashby, S.F.2    Manteuffel, T.A.3
  • 14
    • 0027641824 scopus 로고
    • Stabilization of unstable procedures: The recursive projection method
    • G.M. Shroff and H.B. Keller, Stabilization of unstable procedures: the recursive projection method, SIAM J. Numer. Anal. 30(4) (1993) 1099-1120.
    • (1993) SIAM J. Numer. Anal. , vol.30 , Issue.4 , pp. 1099-1120
    • Shroff, G.M.1    Keller, H.B.2
  • 17
    • 0027701865 scopus 로고
    • The superlinear convergence behaviour of GMRES
    • H.A. van der Vorst and C. Vuik, The superlinear convergence behaviour of GMRES, J. Comput. Appl. Math. 48 (1993) 327-341.
    • (1993) J. Comput. Appl. Math. , vol.48 , pp. 327-341
    • Van Der Vorst, H.A.1    Vuik, C.2
  • 19
    • 0043194841 scopus 로고
    • A polynomial preconditioner for the GMRES algorithm
    • M.B. van Gijzen, A polynomial preconditioner for the GMRES algorithm, J. Comput. Appl. Math. 59 (1) (1995) 91-107.
    • (1995) J. Comput. Appl. Math. , vol.59 , Issue.1 , pp. 91-107
    • Van Gijzen, M.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.