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Volumn 6, Issue 1, 1999, Pages 61-77

A New Variant of Restarted GMRES

(1)  Simoncini, V a  

a CNR   (Italy)

Author keywords

Iterative methods; Linear systems; Residual polynomials; Restarts

Indexed keywords


EID: 0033421859     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1506(199901/02)6:1<61::AID-NLA146>3.0.CO;2-W     Document Type: Article
Times cited : (7)

References (28)
  • 4
    • 0030542825 scopus 로고    scopus 로고
    • Relations between Galerkin and norm-minimizing iterative methods for solving linear systems
    • J. Cullum and A. Greenbaum. Relations between Galerkin and norm-minimizing iterative methods for solving linear systems. SIAM J. Matrix Anal. Appl., 17, 223-247, 1996.
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , pp. 223-247
    • Cullum, J.1    Greenbaum, A.2
  • 7
    • 0040740109 scopus 로고
    • Restarted GMRES preconditioned by deflation
    • Technical Report, Eidgenössische Technische Hochschule, Zürich, Switzerland, July
    • J. Erhel, K. Burrage and B. Pohl. Restarted GMRES preconditioned by deflation. Technical Report, Seminar für Angewandte Mathematik, Eidgenössische Technische Hochschule, Zürich, Switzerland, July 1994.
    • (1994) Seminar für Angewandte Mathematik
    • Erhel, J.1    Burrage, K.2    Pohl, B.3
  • 8
    • 38249009170 scopus 로고
    • Quasi-kernel polynomials and their use in non-Hermitian matrix iterations
    • R. W. Freund. Quasi-kernel polynomials and their use in non-Hermitian matrix iterations. /. Comput. Appl. Math., 43, 135-158, 1992.
    • (1992) J. Comput. Appl. Math. , vol.43 , pp. 135-158
    • Freund, R.W.1
  • 10
    • 0000493104 scopus 로고
    • A robust GMRES-based adaptive polynomial preconditioning algorithm for nonsymmetric linear systems
    • W. D. Joubert. A robust GMRES-based adaptive polynomial preconditioning algorithm for nonsymmetric linear systems. SIAM J. Sci. Comput., 15, 427-439, 1994.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 427-439
    • Joubert, W.D.1
  • 11
    • 84985402808 scopus 로고
    • On the convergence behavior of the restarted GMRES algorithm for solving nonsymmetric linear systems
    • W. D. Joubert. On the convergence behavior of the restarted GMRES algorithm for solving nonsymmetric linear systems. J. Numer. Linear Algebra with Appl., 1, 427-448, 1994.
    • (1994) J. Numer. Linear Algebra with Appl. , vol.1 , pp. 427-448
    • Joubert, W.D.1
  • 12
    • 0001823787 scopus 로고    scopus 로고
    • Analysis of a minimum perturbation algorithm for nonsymmetric linear systems
    • E. M. Kasenally and V. Simoncini. Analysis of a minimum perturbation algorithm for nonsymmetric linear systems. SIAM J. Numer. Anal., 34, 48-66, 1997.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 48-66
    • Kasenally, E.M.1    Simoncini, V.2
  • 13
    • 0342602167 scopus 로고
    • A restarted GMRES method augmented with eigenvectors
    • R. B. Morgan. A restarted GMRES method augmented with eigenvectors. SIAM J. Matrix Anal. Appl., 16, 1154-1171, 1995.
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , pp. 1154-1171
    • Morgan, R.B.1
  • 18
    • 0031534369 scopus 로고    scopus 로고
    • Analysis of augmented Krylov subspace methods
    • Y. Saad. Analysis of augmented Krylov subspace methods. SIAM J. Matrix Anal. Appl., 18, 435-449, 1997.
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , pp. 435-449
    • Saad, Y.1
  • 19
    • 0003977997 scopus 로고    scopus 로고
    • Technical Report umsi-97-14, Department of Computer Sciences, University of Minnesota, Minneapolis, MN, August
    • Y. Saad. Further analysis of minimum residual iterations. Technical Report umsi-97-14, Department of Computer Sciences, University of Minnesota, Minneapolis, MN, August 1997.
    • (1997) Further Analysis of Minimum Residual Iterations
    • Saad, Y.1
  • 20
    • 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., 7, 856-869, 1986.
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 21
    • 0001206409 scopus 로고
    • Implementation of an adaptive algorithm for Richardson's method
    • P. E. Saylor and D. C. Smolarski. Implementation of an adaptive algorithm for Richardson's method. Lin. Alg. Appl., V. 154-156, 1991.
    • (1991) Lin. Alg. Appl. , vol.154-156
    • Saylor, P.E.1    Smolarski, D.C.2
  • 22
    • 0039287302 scopus 로고
    • Computing the roots of complex orthogonal and kernel polynomials
    • P. E. Saylor and D. C. Smolarski. Computing the roots of complex orthogonal and kernel polynomials. SIAM J. Sci. Comput, 9, 1-13, 1988.
    • (1988) SIAM J. Sci. Comput , vol.9 , pp. 1-13
    • Saylor, P.E.1    Smolarski, D.C.2
  • 24
    • 21144469327 scopus 로고
    • A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear equations
    • G. Starke and R. S. Varga. A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear equations. Numer. Math., 64, 213-240, 1993.
    • (1993) Numer. Math. , vol.64 , pp. 213-240
    • Starke, G.1    Varga, R.S.2
  • 25
    • 85034538832 scopus 로고
    • Technical Report, Department of Computer Sciences, University of Wisconsin, Madison, WI, August
    • J. C. Strikwerda and S. C. Stodder. Convergence results of GMRES. Technical Report, Department of Computer Sciences, University of Wisconsin, Madison, WI, August 1995.
    • (1995) Convergence Results of GMRES
    • Strikwerda, J.C.1    Stodder, S.C.2
  • 26
    • 0001831337 scopus 로고
    • Approximation theory and numerical linear algebra
    • J. C. Mason and M. G. Cox, editors, Chapman and Hall, London, UK
    • L. N. Trefethen. Approximation theory and numerical linear algebra. In J. C. Mason and M. G. Cox, editors, Algorithms for Approximation II, pp. 336-360, Chapman and Hall, London, UK, 1990.
    • (1990) Algorithms for Approximation II , pp. 336-360
    • Trefethen, L.N.1
  • 27
  • 28
    • 0000848766 scopus 로고
    • Residual smoothing techniques for iterative methods
    • L. Zhou and H. F. Walker. Residual smoothing techniques for iterative methods. SIAM J. Sci. Comput., 15, 297-312 1994.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 297-312
    • Zhou, L.1    Walker, H.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.