메뉴 건너뛰기




Volumn 415, Issue 1, 2006, Pages 167-187

Cluster robust error estimates for the Rayleigh-Ritz approximation I: Estimates for invariant subspaces

Author keywords

A priori and a posteriori error estimates; Clustered eigenvalues; Invariant subspaces; Rayleigh Ritz method; Self adjoint eigenvalue problem

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; PROBLEM SOLVING;

EID: 33645147834     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2005.06.040     Document Type: Article
Times cited : (15)

References (15)
  • 1
    • 0034375119 scopus 로고    scopus 로고
    • Galerkin eigenvector approximations
    • C. Beattie Galerkin eigenvector approximations Math. Comp. 69 2000 1409 1434
    • (2000) Math. Comp. , vol.69 , pp. 1409-1434
    • Beattie, C.1
  • 2
    • 0030501039 scopus 로고    scopus 로고
    • A sharp version of Kahan's theorem on clustered eigenvalues
    • Z.H. Cao, J.-J. Xie, and R.-C. Li A sharp version of Kahan's theorem on clustered eigenvalues Linear Algebra Appl. 245 1996 147 155
    • (1996) Linear Algebra Appl. , vol.245 , pp. 147-155
    • Cao, Z.H.1    Xie, J.-J.2    Li, R.-C.3
  • 3
    • 0014751986 scopus 로고
    • The rotation of eigenvectors by a perturbation. III
    • C. Davis, and W.M. Kahan The rotation of eigenvectors by a perturbation. III SIAM J. Numer. Anal. 7 1970 1 46
    • (1970) SIAM J. Numer. Anal. , vol.7 , pp. 1-46
    • Davis, C.1    Kahan, W.M.2
  • 5
    • 34250123818 scopus 로고
    • Sharp a priori error estimates of the Rayleigh-Ritz method without assumptions of fixed sign or compactness
    • A.V. Knyazev Sharp a priori error estimates of the Rayleigh-Ritz method without assumptions of fixed sign or compactness Math. Notes 38 1986 998 1002
    • (1986) Math. Notes , vol.38 , pp. 998-1002
    • Knyazev, A.V.1
  • 6
    • 0000141536 scopus 로고
    • Convergence rate estimates for iterative methods for mesh symmetric eigenvalue problem
    • A.V. Knyazev Convergence rate estimates for iterative methods for mesh symmetric eigenvalue problem Soviet J. Numer. Anal. Math. Model. 2 1987 371 396
    • (1987) Soviet J. Numer. Anal. Math. Model. , vol.2 , pp. 371-396
    • Knyazev, A.V.1
  • 7
    • 0031521086 scopus 로고    scopus 로고
    • New estimates for Ritz vectors
    • A.V. Knyazev New estimates for Ritz vectors Math. Comput. 66 1997 985 995
    • (1997) Math. Comput. , vol.66 , pp. 985-995
    • Knyazev, A.V.1
  • 9
    • 33645139975 scopus 로고    scopus 로고
    • Cluster robustness of preconditioned gradient subspace iteration eigensolvers
    • Presented at the mini-workshop 'Preconditioned Eigensolvers', Mathematische Forschungsinstitut Oberwolfach, 3-10 March in press, doi:10.1016/j.laa.2005.06.039
    • E. Ovtchinnikov, Cluster robustness of preconditioned gradient subspace iteration eigensolvers. Presented at the mini-workshop 'Preconditioned Eigensolvers', Mathematische Forschungsinstitut Oberwolfach, 3-10 March 2002; Linear Algebra Appl., in press, doi:10.1016/j.laa.2005.06.039.
    • (2002) Linear Algebra Appl.
    • Ovtchinnikov, E.1
  • 10
    • 33645147834 scopus 로고    scopus 로고
    • Cluster robust error estimates for the Rayleigh-Ritz approximation II: Estimates for eigenvalues
    • in press, doi:10.1016/j.laa.2005.06.041
    • E. Ovtchinnikov, Cluster robust error estimates for the Rayleigh-Ritz approximation II: Estimates for eigenvalues, Linear Algebra Appl., in press, doi:10.1016/j.laa.2005.06.041.
    • Linear Algebra Appl.
    • Ovtchinnikov, E.1
  • 13
    • 0008456950 scopus 로고
    • Projection methods for solving large sparse eigenvalue problems
    • Y. Saad Projection methods for solving large sparse eigenvalue problems Lecture Notes Math. 973 1983 121 144
    • (1983) Lecture Notes Math. , vol.973 , pp. 121-144
    • Saad, Y.1
  • 14
    • 0035871587 scopus 로고    scopus 로고
    • A generalization of Saad's theorem on Rayleigh-Ritz approximations
    • G.W. Stewart A generalization of Saad's theorem on Rayleigh-Ritz approximations Linear Algebra Appl. 327 2001 115 119
    • (2001) Linear Algebra Appl. , vol.327 , pp. 115-119
    • Stewart, G.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.