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Volumn 44, Issue 3, 2004, Pages 585-593

Accuracy of computed eigenvectors via optimizing a rayleigh quotient

Author keywords

accuracy; eigenvalue gap; eigenvector; Rayleigh quotient

Indexed keywords


EID: 8144219701     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:BITN.0000046798.28622.67     Document Type: Article
Times cited : (15)

References (9)
  • 1
    • 0003324354 scopus 로고    scopus 로고
    • Matrix Analysis
    • Springer, New York
    • R. Bhatia, Matrix Analysis, Graduate Texts in Math. 169, Springer, New York, 1996.
    • (1996) Graduate Texts in Math. , vol.169
    • Bhatia, R.1
  • 2
    • 0014751986 scopus 로고
    • The rotation of eigenvectors by a perturbation. III
    • C. Davis and W. Kahan, The rotation of eigenvectors by a perturbation. III, SIAM Journal on Numerical Analysis, 7 (1970), pp. 1-46.
    • (1970) SIAM Journal on Numerical Analysis , vol.7 , pp. 1-46
    • Davis, C.1    Kahan, W.2
  • 4
    • 84862466609 scopus 로고    scopus 로고
    • Technical Report 2000-28, Department of Mathematics, University of Kentucky
    • R.-C. Li, Accuracy of computed eigenvectors via optimizing a Rayleigh quotient, Technical Report 2000-28, Department of Mathematics, University of Kentucky, 2000. Available at http://www.ms.uky.edu/~math/MAreport/PDF/00-28.pdf.
    • (2000) Accuracy of Computed Eigenvectors Via Optimizing a Rayleigh Quotient
    • Li, R.-C.1
  • 5
    • 0029309593 scopus 로고
    • Partial eigenvalue decomposition of large images using the spatial temporal adaptive method
    • H. Murase and M. Lindenbaum, Partial eigenvalue decomposition of large images using the spatial temporal adaptive method, IEEE Transactions on Image Processing, 4 (1995), pp. 620-629.
    • (1995) IEEE Transactions on Image Processing , vol.4 , pp. 620-629
    • Murase, H.1    Lindenbaum, M.2
  • 6
    • 0042415256 scopus 로고    scopus 로고
    • Convergence analysis of inexact Rayleigh quotient iteration
    • Y. Notay, Convergence analysis of inexact Rayleigh quotient iteration, SIAM Journal on Matrix Analysis and Applications, 24 (2003), pp. 627-644.
    • (2003) SIAM Journal on Matrix Analysis and Applications , vol.24 , pp. 627-644
    • Notay, Y.1
  • 9
    • 0024754712 scopus 로고
    • A survey of conjugate gradient algorithms for solution of extreme eigen-problems of a symmetric matrix
    • X. Yang, T. K. Sarkar, and E. Arvas, A survey of conjugate gradient algorithms for solution of extreme eigen-problems of a symmetric matrix, IEEE Transactions on Acoustics, Speech and Signal Processing, 37 (1989), pp. 1550-1555.
    • (1989) IEEE Transactions on Acoustics, Speech and Signal Processing , vol.37 , pp. 1550-1555
    • Yang, X.1    Sarkar, T.K.2    Arvas, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.