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Volumn 13, Issue 4, 1997, Pages 419-456

On the Randomized Error of Polynomial Methods for Eigenvector and Eigenvalue Estimates

Author keywords

Power and Lanczos methods; eigenvalues and eigenvectors; random start; randomized error

Indexed keywords


EID: 0040655384     PISSN: 0885064X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcom.1997.0455     Document Type: Article
Times cited : (6)

References (13)
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    • La méthode de Rayleigh-Ritz appliquée à des opérateurs différetiels elliptiques
    • Chatelin F., Lemordant J. La méthode de Rayleigh-Ritz appliquée à des opérateurs différetiels elliptiques. Numer. Math. 23:1975;215-222.
    • (1975) Numer. Math. , vol.23 , pp. 215-222
    • Chatelin, F.1    Lemordant, J.2
  • 2
    • 0031493847 scopus 로고    scopus 로고
    • Estimating an eigenvector by the power method with a random start
    • G. M. Del Corso, Estimating an eigenvector by the power method with a random start, SIAM J. Matrix Anal. Appl.
    • SIAM J. Matrix Anal. Appl.
    • Del Corso, G.M.1
  • 3
    • 0039560792 scopus 로고    scopus 로고
    • On the Randomized Error of Polynomial Methods for Eigenvector and Eigenvalue Estimate: Numerical Tests
    • Del Corso G. M., Manzini G. On the Randomized Error of Polynomial Methods for Eigenvector and Eigenvalue Estimate: Numerical Tests. Technical Report. B4-97-01:1997.
    • (1997) Technical Report. B4-97-01
    • Del Corso, G.M.1    Manzini, G.2
  • 6
    • 0043178250 scopus 로고
    • Estimating the largest eigenvalue by the power on Lanczos algorithms with a random start
    • Kuczyński J., Woźniakowski H. Estimating the largest eigenvalue by the power on Lanczos algorithms with a random start. SIAM J. Matrix Anal. Appl. 13:1992;1094-1122.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 1094-1122
    • Kuczyński, J.1    Woźniakowski, H.2
  • 7
    • 21344478831 scopus 로고
    • Probabilistic bounds on the extremal eigenvalues and condition number by the Lanczos algorithm
    • Kuczyński J., Woźniakowski H. Probabilistic bounds on the extremal eigenvalues and condition number by the Lanczos algorithm. SIAM J. Matrix Anal. Appl. 15:1994;672-691.
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , pp. 672-691
    • Kuczyński, J.1    Woźniakowski, H.2
  • 8
    • 0003371692 scopus 로고
    • Meschach: Matrix computation in C
    • Australian National University
    • Z. Leyk, D. E. Stewart, 1994, Meschach: Matrix computation in C, Proc. CMA, 32, Australian National University.
    • (1994) Proc. CMA , vol.32
    • Leyk, Z.1    Stewart, D.E.2
  • 9
    • 0040746178 scopus 로고    scopus 로고
    • Estimating a Largest Eigenvector by Polynomial Algorithms with a Random Start
    • Leyk Z., Woźniakowski H. Estimating a Largest Eigenvector by Polynomial Algorithms with a Random Start. Technical Report. CUCS-026-96:1996.
    • (1996) Technical Report. CUCS-026-96
    • Leyk, Z.1    Woźniakowski, H.2
  • 11
    • 0000767453 scopus 로고
    • On the rates of convergence of the Lanczos and the block Lanczos methods
    • Saad Y. On the rates of convergence of the Lanczos and the block Lanczos methods. SIAM J. Numer. Anal. 17:1980;687-706.
    • (1980) SIAM J. Numer. Anal. , vol.17 , pp. 687-706
    • Saad, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.