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Volumn 43, Issue 4, 2003, Pages 823-837

On eigenvector bounds

Author keywords

Eigenvector inclusion; Multiple eigenvalue; Nonderogatory matrix

Indexed keywords


EID: 4043079134     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:BITN.0000009941.51707.26     Document Type: Article
Times cited : (20)

References (15)
  • 1
    • 0022603212 scopus 로고
    • Iterative improvement of componentwise errorbounds for invariant subspaces belonging to a double or nearly double eigenvalue
    • G. Alefeld and H. Spreuer, Iterative improvement of componentwise errorbounds for invariant subspaces belonging to a double or nearly double eigenvalue, Computing, 36 (1986), pp. 321-334.
    • (1986) Computing , vol.36 , pp. 321-334
    • Alefeld, G.1    Spreuer, H.2
  • 2
    • 0002274317 scopus 로고
    • Improving the accuracy of computed eigenvalues and eigenvectors
    • J. J. Dongarra, C. B. Moler and J. H. Wilkinson, Improving the accuracy of computed eigenvalues and eigenvectors, SIAM J. Numer. Anal., 20(1) (1983), pp. 23-45.
    • (1983) SIAM J. Numer. Anal. , vol.20 , Issue.1 , pp. 23-45
    • Dongarra, J.J.1    Moler, C.B.2    Wilkinson, J.H.3
  • 7
    • 4043126452 scopus 로고
    • Result verification for eigenvectors and eigenvalues
    • J. Herzberger (ed.) Topics in Validated Computations. Proceedings of the IMACS-GAMM International Workshop, Oldenburg, Germany, 30 August-3 September, Elsevier, Amsterdam
    • G. Mayer, Result verification for eigenvectors and eigenvalues, in J. Herzberger (ed.), Topics in Validated Computations. Proceedings of the IMACS-GAMM International Workshop, Oldenburg, Germany, 30 August-3 September 1993, Stud. Comput. Math. 5, Elsevier, Amsterdam, 1994, pp. 209-276.
    • (1993) Stud. Comput. Math. , vol.5 , pp. 209-276
    • Mayer, G.1
  • 8
    • 4043144642 scopus 로고    scopus 로고
    • Private communication
    • M. Nakao, Private communication.
    • Nakao, M.1
  • 10
    • 0002342184 scopus 로고    scopus 로고
    • INTLAB - INTerval LABoratory
    • T. Csendes (ed.), Kluwer Academic Publishers, Dordrecht
    • S. M. Rump, INTLAB - INTerval LABoratory, in T. Csendes (ed.), Developments in Reliable Computing, Kluwer Academic Publishers, Dordrecht, 1999, pp. 77-104. http://www.ti3.tu-harburg.de/english/index.html.
    • (1999) Developments in Reliable Computing , pp. 77-104
    • Rump, S.M.1
  • 11
    • 0035587757 scopus 로고    scopus 로고
    • Computational error bounds for multiple or nearly multiple eigenvalues
    • S. M. Rump, Computational error bounds for multiple or nearly multiple eigenvalues, Linear Algebra Appl. (LAA), 324 (2001), pp. 209-226.
    • (2001) Linear Algebra Appl. (LAA) , vol.324 , pp. 209-226
    • Rump, S.M.1
  • 12
    • 0035628958 scopus 로고    scopus 로고
    • Self-validating methods
    • S. M. Rump, Self-validating methods, Linear Algebra Appl. (LAA), 324 (2001), pp. 3-13.
    • (2001) Linear Algebra Appl. (LAA) , vol.324 , pp. 3-13
    • Rump, S.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.