메뉴 건너뛰기




Volumn 19, Issue 1, 1998, Pages 15-26

Restarted GMRES for shifted linear systems

Author keywords

GMRES; Krylov methods; QCD; Shifted systems

Indexed keywords


EID: 0004525912     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827596304563     Document Type: Article
Times cited : (117)

References (26)
  • 2
    • 0025455647 scopus 로고
    • Inversion of the fermion matrix and the equivalence of the conjugate gradient and Lanczos algorithms
    • A. BURKITT AND A. IRVING, Inversion of the fermion matrix and the equivalence of the conjugate gradient and Lanczos algorithms, Computer Phys. Comm., 59 (1990), pp. 447-454.
    • (1990) Computer Phys. Comm. , vol.59 , pp. 447-454
    • Burkitt, A.1    Irving, A.2
  • 3
    • 0000730346 scopus 로고
    • Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment
    • B. DATTA AND Y. SAAD, Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment, Linear Algebra Appl., 154-156 (1991), pp. 225-244.
    • (1991) Linear Algebra Appl. , vol.154-156 , pp. 225-244
    • Datta, B.1    Saad, Y.2
  • 5
    • 0000011239 scopus 로고
    • Variational iterative methods for nonsymmetric systems of linear equations
    • S. EISENSTAT, H. ELMAN, AND M. SCHULTZ, Variational iterative methods for nonsymmetric systems of linear equations, SIAM J. Numer. Anal., 20 (1983), pp. 345-357.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 345-357
    • Eisenstat, S.1    Elman, H.2    Schultz, M.3
  • 7
    • 0002308279 scopus 로고
    • Conjugate gradient methods for indefinite systems
    • G.A. Watson, ed., Springer-Verlag, New York
    • R. FLETCHER, Conjugate gradient methods for indefinite systems, in Proc. of the Dundee Biennal Conference on Numerical Analysis 1974, G.A. Watson, ed., Springer-Verlag, New York, 1975, pp. 73-89.
    • (1975) Proc. of the Dundee Biennal Conference on Numerical Analysis 1974 , pp. 73-89
    • Fletcher, R.1
  • 8
    • 0001031880 scopus 로고
    • A transpose-free quasi-minimal residual algorithm for non-hermitian linear systems
    • R. FREUND, A transpose-free quasi-minimal residual algorithm for non-hermitian linear systems, SIAM J. Sci. Statist. Comput., 14 (1993), pp. 470-482.
    • (1993) SIAM J. Sci. Statist. Comput. , vol.14 , pp. 470-482
    • Freund, R.1
  • 9
    • 0001942146 scopus 로고
    • Solution of shifted linear systems by quasi-minimal residual iterations
    • L. Reichet, A. Ruttan, and R.S. Varga, eds., de Gruyter, Berlin
    • R. FREUND, Solution of shifted linear systems by quasi-minimal residual iterations, in Numerical Linear Algebra, L. Reichet, A. Ruttan, and R.S. Varga, eds., de Gruyter, Berlin, 1993, pp. 101-121.
    • (1993) Numerical Linear Algebra , pp. 101-121
    • Freund, R.1
  • 10
  • 11
    • 0001378925 scopus 로고
    • An implementation of the look-ahead Lanczos algorithm for non-hermitian matrices
    • R. FREUND, M. GUTKNECHT, AND N. NACHTIGAL, An implementation of the look-ahead Lanczos algorithm for non-hermitian matrices, SIAM J. Sci. Statist. Comput., 14 (1993), pp. 137-158.
    • (1993) SIAM J. Sci. Statist. Comput. , vol.14 , pp. 137-158
    • Freund, R.1    Gutknecht, M.2    Nachtigal, N.3
  • 12
    • 25444452938 scopus 로고
    • QMR: A quasi-minimal residual method for non-Hermitian linear systems
    • R. FREUND AND N. NACHTIGAL, QMR: A quasi-minimal residual method for non-Hermitian linear systems, Numer. Math., 60 (1991), pp. 315-339.
    • (1991) Numer. Math. , vol.60 , pp. 315-339
    • Freund, R.1    Nachtigal, N.2
  • 13
    • 0001050521 scopus 로고
    • Accelerating Wilson fermion matrix inversions by means of the stabilized biconjugate gradient algorithm
    • A. FROMMER, V. HANNEMANN, B. NÖCKEL, TH. LIPPERT, AND K. SCHILLING, Accelerating Wilson fermion matrix inversions by means of the stabilized biconjugate gradient algorithm, Internat. J. Modern Phys. C, 5 (1994), pp. 1073-1088.
    • (1994) Internat. J. Modern Phys. C , vol.5 , pp. 1073-1088
    • Frommer, A.1    Hannemann, V.2    Nöckel, B.3    Lippert, Th.4    Schilling, K.5
  • 15
    • 11744267825 scopus 로고
    • Efficient parallel solution of parabolic equations: Implicit methods on the Cedar multicluster
    • J. Dongarra, P. Messina, D. C. Sorensen, and R. G. Voigt, eds., SIAM, Philadelphia, PA
    • E. GALLOPOULOS AND Y. SAAD, Efficient parallel solution of parabolic equations: implicit methods on the Cedar multicluster, in Proc. Fourth SIAM Conf. Parallel Processing for Scientific Computing, J. Dongarra, P. Messina, D. C. Sorensen, and R. G. Voigt, eds., SIAM, Philadelphia, PA, 1990, pp. 251-256.
    • (1990) Proc. Fourth SIAM Conf. Parallel Processing for Scientific Computing , pp. 251-256
    • Gallopoulos, E.1    Saad, Y.2
  • 17
    • 0004236492 scopus 로고
    • The Johns Hopkins University Press, Baltimore, MD
    • G. GOLUB AND C. VAN LOAN, Matrix Computations, The Johns Hopkins University Press, Baltimore, MD, 1990.
    • (1990) Matrix Computations
    • Golub, G.1    Van Loan, C.2
  • 18
    • 0022010272 scopus 로고
    • Numerical linear algebra aspects of control design computations
    • A. LAUB, Numerical linear algebra aspects of control design computations, IEEE Trans. Automat. Control, AC-30 (1985), pp. 97-108.
    • (1985) IEEE Trans. Automat. Control , vol.AC-30 , pp. 97-108
    • Laub, A.1
  • 19
    • 85034289078 scopus 로고
    • private communication
    • G. RITZENHÖFER, private communication, 1995.
    • (1995)
    • Ritzenhöfer, G.1
  • 21
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. SAAD AND M. SCHULTZ, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Statist. Comput., 7 (1986), pp. 856-869.
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.2
  • 22
    • 0029697287 scopus 로고    scopus 로고
    • A hybrid GMRES method for nonsymmetric systems with multiple right-hand sides
    • V. SIMONCINI AND E. GALLOPOULOS, A hybrid GMRES method for nonsymmetric systems with multiple right-hand sides, J. Comput. Appl. Math., 66 (1996), pp. 457-469.
    • (1996) J. Comput. Appl. Math. , vol.66 , pp. 457-469
    • Simoncini, V.1    Gallopoulos, E.2
  • 23
    • 0009133533 scopus 로고
    • A parallel and vector variant of the cyclic reduction algorithm
    • R. SWEET, A parallel and vector variant of the cyclic reduction algorithm, SIAM J. Sci. Statist. Comput., 9 (1988), pp. 89-105.
    • (1988) SIAM J. Sci. Statist. Comput. , vol.9 , pp. 89-105
    • Sweet, R.1
  • 24
    • 0002666921 scopus 로고
    • Quarks and strings on a lattice
    • A. Zichichi, ed., Plenum, New York
    • K. WILSON, Quarks and strings on a lattice, in New Phenomena in Subnuclear Physics, A. Zichichi, ed., Plenum, New York, 1975, pp. 69-142.
    • (1975) New Phenomena in Subnuclear Physics , pp. 69-142
    • Wilson, K.1
  • 25
    • 0342664073 scopus 로고
    • The search for 'high-level' parallelism for iterative sparse linear system solvers
    • G. Carey, ed., John Wiley, Chichester
    • D. YOUNG, The search for 'high-level' parallelism for iterative sparse linear system solvers, in Parallel Supercomputing: Methods, Algorithms and Applications, G. Carey, ed., John Wiley, Chichester, 1989, pp. 89-105.
    • (1989) Parallel Supercomputing: Methods, Algorithms and Applications , pp. 89-105
    • Young, D.1
  • 26
    • 38249010711 scopus 로고
    • On the use of rational iterative methods for solving large sparse linear systems
    • D. YOUNG AND B. VONA, On the use of rational iterative methods for solving large sparse linear systems, Appl. Numer. Math., 10 (1992), pp. 261-278.
    • (1992) Appl. Numer. Math. , vol.10 , pp. 261-278
    • Young, D.1    Vona, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.