메뉴 건너뛰기




Volumn 66, Issue 219, 1997, Pages 985-995

New estimates for Ritz vectors

Author keywords

Approximation; Eigenvalue problem; Error estimate; Rayleigh Ritz method

Indexed keywords


EID: 0031521086     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-97-00855-7     Document Type: Article
Times cited : (41)

References (18)
  • 1
    • 54249116319 scopus 로고
    • Eigenvalue problems
    • P. G. Ciarlet and J. L. Lions, editors, Elsevier Science Publishers, North-Holland
    • I. Babuska and J. Osborn, Eigenvalue problems. In P. G. Ciarlet and J. L. Lions, editors, Handbook of Numerical Analysis, Vol. II, pages 642-787. Elsevier Science Publishers, North-Holland, 1991.
    • (1991) Handbook of Numerical Analysis , vol.2 , pp. 642-787
    • Babuska, I.1    Osborn, J.2
  • 2
    • 0040124256 scopus 로고
    • A subspace preconditioning algorithm for eigenvector/eigenvalue computation
    • Center for Computational Mathematics, University of Colorado at Denver, Submitted to Advances in Computational Mathematics
    • James H. Bramble, Andrew Knyazev and Joseph E. Pasciak, A subspace preconditioning algorithm for eigenvector/eigenvalue computation. Technical Report UCD/CCM Report 66, Center for Computational Mathematics, University of Colorado at Denver, 1995. Submitted to Advances in Computational Mathematics.
    • (1995) Technical Report UCD/CCM Report , vol.66
    • Bramble, J.H.1    Knyazev, A.2    Pasciak, J.E.3
  • 4
    • 0014751986 scopus 로고
    • The rotation of eigenvectors by a perturbation. III
    • MR 41:9044
    • C. Davis and W. M. Kahan. The rotation of eigenvectors by a perturbation. III. SIAM J. Numer. Anal., 7(1):1-46, 1970. MR 41:9044
    • (1970) SIAM J. Numer. Anal. , vol.7 , Issue.1 , pp. 1-46
    • Davis, C.1    Kahan, W.M.2
  • 5
    • 0002023947 scopus 로고
    • On spectral approximation. Part 1. The problem of convergence
    • MR 58:3404a
    • J. Descloux, N. Nassif, and J. Rappaz. On spectral approximation. Part 1. The problem of convergence. RAIRO, Numerical Analysis, 12(2):97-112, 1978. MR 58:3404a
    • (1978) RAIRO, Numerical Analysis , vol.12 , Issue.2 , pp. 97-112
    • Descloux, J.1    Nassif, N.2    Rappaz, J.3
  • 6
    • 0003537960 scopus 로고
    • Finite element methods in linear ideal magnetohydrodynamics
    • Springer-Verlag, New York, MR 87e:76162
    • R. Gruber and J. Rappaz. Finite Element Methods in Linear Ideal Magnetohydrodynamics. Springer Series in Computational Physics. Springer-Verlag, New York, 1985. MR 87e:76162
    • (1985) Springer Series in Computational Physics
    • Gruber, R.1    Rappaz, J.2
  • 7
    • 1642278713 scopus 로고
    • On the upper and lower bounds of eigenvalues
    • MR 12:447b
    • T. Kato. On the upper and lower bounds of eigenvalues. J. Phys. Soc. Japan, 4:334-339, 1949. MR 12:447b
    • (1949) J. Phys. Soc. Japan , vol.4 , pp. 334-339
    • Kato, T.1
  • 10
    • 34250123818 scopus 로고
    • Sharp a priori error estimates of the Rayleigh-Ritz method without assumptions of fixed sign or compactness
    • MR 87h:65068
    • A. V. Knyazev. Sharp a priori error estimates of the Rayleigh-Ritz method without assumptions of fixed sign or compactness. Math. Notes, 38(5-6):998-1002, 1986. MR 87h:65068
    • (1986) Math. Notes , vol.38 , Issue.5-6 , pp. 998-1002
    • Knyazev, A.V.1
  • 11
    • 0000141536 scopus 로고
    • Convergence rate estimates for iterative methods for mesh symmetric eigenvalue problem
    • MR 88i:65057
    • A. V. Knyazev. Convergence rate estimates for iterative methods for mesh symmetric eigenvalue problem. Soviet J. Numerical Analysis and Math. Modelling, 2(5):371-396, 1987. MR 88i:65057
    • (1987) Soviet J. Numerical Analysis and Math. Modelling , vol.2 , Issue.5 , pp. 371-396
    • Knyazev, A.V.1
  • 12
    • 0038940210 scopus 로고
    • New estimates for Ritz vectors
    • CIMS NYU, New York
    • A. V. Knyazev. New estimates for Ritz vectors. Technical Report 677, CIMS NYU, New York, 1994.
    • (1994) Technical Report , vol.677
    • Knyazev, A.V.1
  • 17
    • 0040718098 scopus 로고
    • Error bounds in the Rayleigh-Ritz approximation of eigenvectors
    • MR 23:B2158
    • H. F. Weinberger. Error bounds in the Rayleigh-Ritz approximation of eigenvectors. J. Res. Nat. Bur. Standards, 64 B(4):217-225, 1960. MR 23:B2158
    • (1960) J. Res. Nat. Bur. Standards , vol.64 B , Issue.4 , pp. 217-225
    • Weinberger, H.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.