메뉴 건너뛰기




Volumn 1457 LNCS, Issue , 1998, Pages 43-55

Thick-restart Lanczos method for symmetric eigenvalue problems

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTERS;

EID: 22044439737     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/bfb0018526     Document Type: Conference Paper
Times cited : (3)

References (23)
  • 1
    • 0002807741 scopus 로고
    • The principle of minimized iteration in the solution of the matrix eigenvalue problem
    • W. E. Arnoldi. The principle of minimized iteration in the solution of the matrix eigenvalue problem. Quarterly of Applied Mathematics, 9:17-29, 1951.
    • (1951) Quarterly of Applied Mathematics , vol.9 , pp. 17-29
    • Arnoldi, W.E.1
  • 2
    • 1542498748 scopus 로고    scopus 로고
    • Iterative methods for the computation of a few eigenvalues of a large symmetric matrix
    • J. Baglama, D. Calvetti, and L. Reichel. Iterative methods for the computation of a few eigenvalues of a large symmetric matrix. BIT, 36:400-421, 1996. (Pubitemid 126419078)
    • (1996) BIT Numerical Mathematics , vol.36 , Issue.3 , pp. 400-421
    • Baglama, J.1    Calvetti, D.2    Reichel, L.3
  • 3
    • 0003733850 scopus 로고
    • Technical Report ANL-95/11, Mathematics and Computer Science Division, Latest source code available at
    • S. Balay, W. Gropp, L. C. McInnes, and B. Smith. PETSc 2.0 users manual. Technical Report ANL-95/11, Mathematics and Computer Science Division, Argonne National Laboratory, 1995. Latest source code available at URL http://www.mcs.anl.gov/petsc.
    • (1995) PETSc 2.0 Users Manual
    • Balay, S.1    Gropp, W.2    McInnes, L.C.3    Smith, B.4
  • 4
    • 0040334323 scopus 로고
    • Technical Report UMSI 95/181, Minnesota Supercomputing Institute, University of Minnesota
    • A. Chapman and Y. Saad. Deflated and augmented Krylov subspace techniques. Technical Report UMSI 95/181, Minnesota Supercomputing Institute, University of Minnesota, 1995.
    • (1995) Deflated and Augmented Krylov Subspace Techniques
    • Chapman, A.1    Saad, Y.2
  • 6
    • 5344230920 scopus 로고
    • The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
    • Ernest R. Davidson. The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices. J. Comput. Phys., 17:87-94, 1975.
    • (1975) J. Comput. Phys. , vol.17 , pp. 87-94
    • Davidson, E.R.1
  • 8
    • 0004236492 scopus 로고    scopus 로고
    • The Johns Hopkins University Press, Baltimore, MD 21211, third edition
    • G. H. Golub and C. F. van Loan. Matrix Computations. The Johns Hopkins University Press, Baltimore, MD 21211, third edition, 1996.
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 9
    • 0003573802 scopus 로고
    • Technical Report SAND95-1559, Massively parallel computing research laboratory, Sandia National Laboratories, Albuquerque, NM
    • S. A. Hutchinson, J. N. Shadid, and R. S. Tuminaro. AZTEC user's guide. Technical Report SAND95-1559, Massively parallel computing research laboratory, Sandia National Laboratories, Albuquerque, NM, 1995.
    • (1995) AZTEC User's Guide
    • Hutchinson, S.A.1    Shadid, J.N.2    Tuminaro, R.S.3
  • 12
    • 0030353046 scopus 로고    scopus 로고
    • On restarting the Arnoldi method for large nonsymmetric eigenvalue problems
    • July
    • Ronald B. Morgan. On restarting the Arnoldi method for large nonsymmetric eigenvalue problems. Mathematics of Computation, 65(215):1213-1230, July 1996.
    • (1996) Mathematics of Computation , vol.65 , Issue.215 , pp. 1213-1230
    • Morgan, R.B.1
  • 14
    • 11744294271 scopus 로고
    • Technical Report UMSI 95/175, Minnesota Supercomputing Institute, University of Minnesota
    • Y. Saad. Analysis of augmented Krylov subspace techniques. Technical Report UMSI 95/175, Minnesota Supercomputing Institute, University of Minnesota, 1995.
    • (1995) Analysis of Augmented Krylov Subspace Techniques
    • Saad, Y.1
  • 17
    • 21144460168 scopus 로고
    • A block Arnoldi-Chebyshev method for computing the leading eigenpairs of large sparse unsymmetric matrices
    • Miloud Sdkane. A block Arnoldi-Chebyshev method for computing the leading eigenpairs of large sparse unsymmetric matrices. Numer. Math., 64(2):181-193, 1993.
    • (1993) Numer. Math. , vol.64 , Issue.2 , pp. 181-193
    • Sdkane, M.1
  • 19
    • 0000322706 scopus 로고
    • Implicit application of polynomial filters in a K-step Arnoldi method
    • D. S. Sorensen. Implicit application of polynomial filters in a K-step Arnoldi method. SIAM J. Matrix Anal. Appl., 13(1):357-385, 1992.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , Issue.1 , pp. 357-385
    • Sorensen, D.S.1
  • 20
    • 84883469306 scopus 로고    scopus 로고
    • Thick restarting of the Davidson method: An extension to implicit restarting
    • T. Manteuffel, S. McCormick, L. Adams, S. Ashby, H. Elman, R. Freund, A. Greenbaum, S. Patter, P. Saylor, N. Trefethen, H. van der Vorst, H. Walker, and O. Wildlund, editors
    • A. Stathopoulos, Y. Saad, and K. Wu. Thick restarting of the Davidson method: an extension to implicit restarting. In T. Manteuffel, S. McCormick, L. Adams, S. Ashby, H. Elman, R. Freund, A. Greenbaum, S. Patter, P. Saylor, N. Trefethen, H. van der Vorst, H. Walker, and O. Wildlund, editors, Proceedings of Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado, 1996.
    • Proceedings of Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado, 1996
    • Stathopoulos, A.1    Saad, Y.2    Wu, K.3
  • 21
    • 0346555718 scopus 로고    scopus 로고
    • Dynamic thick restarting of the Davidson, and the implicitly restarted Arnoldi methods
    • PII S1064827596304162
    • A. Stathopoulos, Y. Saad, and K. Wu. Dynamic thick restarting of the Davidson and the implicitly restarted Arnoldi methods. SIAM J. Sci. Comput., 19(1):227-245, 1998. (Pubitemid 128617509)
    • (1998) SIAM Journal of Scientific Computing , vol.19 , Issue.1 , pp. 227-245
    • Stathopoulos, A.1    Saad, Y.2    Wu, K.3
  • 22
    • 0042121939 scopus 로고    scopus 로고
    • PhD thesis, University of Minnesota, An updated version also appears as Technical Report TR97-038 at the Computer Science Department
    • Kesheng Wu. Preconditioned Techniques for Large Eigenvalue Problems. PhD thesis, University of Minnesota, 1997. An updated version also appears as Technical Report TR97-038 at the Computer Science Department.
    • (1997) Preconditioned Techniques for Large Eigenvalue Problems
    • Wu, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.