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Volumn 46, Issue SUPPL. 5, 2006, Pages

Rational Krylov for eigenvalue computation and model order reduction

Author keywords

Eigenvalue computation; Krylov sequence; Moment matching; Stability

Indexed keywords


EID: 33750924590     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-006-0085-9     Document Type: Conference Paper
Times cited : (20)

References (11)
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  • 3
    • 21344460034 scopus 로고
    • A rational Lanczos algorithm for model reduction
    • K. Gallivan, E. Grimme, and P. V. Dooren, A rational Lanczos algorithm for model reduction, Numer. Algorithms, 12 (1995), pp. 33-63.
    • (1995) Numer. Algorithms , vol.12 , pp. 33-63
    • Gallivan, K.1    Grimme, E.2    Dooren, P.V.3
  • 4
    • 0004236492 scopus 로고    scopus 로고
    • Johns Hopkins University Press, Baltimore, Maryland, 3rd edn.
    • G. H. Golub and C. F. Van Loan, Matrix Computations, Johns Hopkins University Press, Baltimore, Maryland, 3rd edn., 1996.
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 7
    • 0000988807 scopus 로고
    • An algorithm for numerical determination of the structure of a general matrix
    • A. Ruhe, An algorithm for numerical determination of the structure of a general matrix, BIT, 10 (1970), pp. 196-216.
    • (1970) BIT , vol.10 , pp. 196-216
    • Ruhe, A.1
  • 9
    • 0000630785 scopus 로고    scopus 로고
    • Rational Krylov, a practical algorithm, for large sparse nonsymmetric matrix pencils
    • A. Ruhe, Rational Krylov, a practical algorithm, for large sparse nonsymmetric matrix pencils, SIAM J. Sci. Comput., 19 (1998), pp. 1535-1551.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 1535-1551
    • Ruhe, A.1
  • 10
    • 0000322706 scopus 로고
    • Implicit application of polynomial filters in a k-step Arnoldi method
    • D. C. Sorensen, Implicit application of polynomial filters in a k-step Arnoldi method, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 357-385.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 357-385
    • Sorensen, D.C.1
  • 11
    • 0036018626 scopus 로고    scopus 로고
    • A Krylov-Schur algorithm for large eigenproblems
    • G. W. Stewart, A Krylov-Schur algorithm for large eigenproblems, SIAM J. Matrix Anal. Appl., 23 (2001), pp. 601-614.
    • (2001) SIAM J. Matrix Anal. Appl. , vol.23 , pp. 601-614
    • Stewart, G.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.