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Volumn 18, Issue 4, 1997, Pages 913-937

Estimating an eigenvector by the power method with a random start

Author keywords

Eigenvectors; Power method; Random start; Randomized error

Indexed keywords


EID: 0031493847     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479895296689     Document Type: Article
Times cited : (20)

References (10)
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  • 3
    • 38149143448 scopus 로고
    • Statistical complexity of dominant eigenvector calculation
    • E. KOSTLAN, Statistical complexity of dominant eigenvector calculation, J. Complexity, 7 (1991), pp. 371-379.
    • (1991) J. Complexity , vol.7 , pp. 371-379
    • Kostlan, E.1
  • 4
    • 0043178250 scopus 로고
    • Estimating the largest eigenvalue by the power and Lanczos algorithms with a random start
    • J. KUCZYŃSKI AND H. WOŹNIAKOWSKI, Estimating the largest eigenvalue by the power and Lanczos algorithms with a random start, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 1094-1122.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 1094-1122
    • Kuczyński, J.1    Woźniakowski, H.2
  • 5
    • 21344478831 scopus 로고
    • Probabilistic bounds on the extremal eigenvalues and condition number by the Lanczos algorithm
    • J. KUCZYŃSKI AND H. WOŹNIAKOWSKI, Probabilistic bounds on the extremal eigenvalues and condition number by the Lanczos algorithm, SIAM J. Matrix Anal. Appl., 15 (1994), pp. 672-691.
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , pp. 672-691
    • Kuczyński, J.1    Woźniakowski, H.2
  • 6
    • 0003449560 scopus 로고
    • Addison-Wesley, Reading, MA
    • S. LANG, Analysis II, Addison-Wesley, Reading, MA, 1969.
    • (1969) Analysis , vol.2
    • Lang, S.1
  • 8
    • 0039850612 scopus 로고
    • The geometry and topology of dynamical systems and algorithms for numerical problems
    • Liao Shantao, ed., Science Press, Beijing, China
    • M. SHUB, The geometry and topology of dynamical systems and algorithms for numerical problems, in Proc. of the 1983 Beijing Symposium on Differential Geometry and Differential Equations, Liao Shantao, ed., Science Press, Beijing, China, 1986.
    • (1986) Proc. of the 1983 Beijing Symposium on Differential Geometry and Differential Equations
    • Shub, M.1
  • 10
    • 0039258838 scopus 로고
    • Statistical complexity of the power method for Markov chains
    • P. E. WRIGHT, Statistical complexity of the power method for Markov chains, J. Complexity, 5 (1989), pp. 119-143.
    • (1989) J. Complexity , vol.5 , pp. 119-143
    • Wright, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.