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Volumn 57, Issue 12, 2003, Pages 1643-1660

Simultaneous tridiagonalization of two symmetric matrices

Author keywords

Generalized eigenvalue problem; Symmetric matrices; Symmetric quadratic eigenvalue problem; Tridiagonalization

Indexed keywords

ALGORITHMS; MATHEMATICAL TRANSFORMATIONS; PROBLEM SOLVING;

EID: 0042520896     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.733     Document Type: Article
Times cited : (11)

References (10)
  • 1
    • 0004236492 scopus 로고    scopus 로고
    • (3rd edn). Johns Hopkins University Press: Baltimore, MD, USA
    • Golub GH, Van Loan CF. Matrix Computations. (3rd edn). Johns Hopkins University Press: Baltimore, MD, USA, 1996.
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 2
    • 0006488780 scopus 로고
    • An algorithm for the symmetric generalized eigenvalue problem
    • Bunse-Gerstner A. An algorithm for the symmetric generalized eigenvalue problem. Linear Algebra and its Applications 1984; 58:43-68.
    • (1984) Linear Algebra and Its Applications , vol.58 , pp. 43-68
    • Bunse-Gerstner, A.1
  • 3
    • 0004537774 scopus 로고
    • Eigenvalues of Ax zBx for real symmetric matrices A and B computed by reduction to a pseudosymmetric form and the HR process
    • Brebner MA, Grad J. Eigenvalues of Ax zBx for real symmetric matrices A and B computed by reduction to a pseudosymmetric form and the HR process. Linear Algebra and its Applications 1982; 43:99-118.
    • (1982) Linear Algebra and Its Applications , vol.43 , pp. 99-118
    • Brebner, M.A.1    Grad, J.2
  • 5
    • 0043139670 scopus 로고    scopus 로고
    • Coordinate transformations for second-order systems. Part I: General transformations
    • Garvey SD, Friswell MI, Prells U. Coordinate transformations for second-order systems. Part I: General transformations. Journal of Sound and Vibration 2002; 258(5):885-909.
    • (2002) Journal of Sound and Vibration , vol.258 , Issue.5 , pp. 885-909
    • Garvey, S.D.1    Friswell, M.I.2    Prells, U.3
  • 6
    • 0035359418 scopus 로고    scopus 로고
    • The quadratic eigenvalue problem
    • Tisseur F, Meerbergen K. The quadratic eigenvalue problem. SIAM Review 2001; 43:235-286.
    • (2001) SIAM Review , vol.43 , pp. 235-286
    • Tisseur, F.1    Meerbergen, K.2
  • 7
    • 0036457301 scopus 로고    scopus 로고
    • (2nd edn). Society for Industrial and Applied Mathematics: Philadelphia, PA, USA
    • Higham NJ. Accuracy and Stability of Numerical Algorithms, (2nd edn). Society for Industrial and Applied Mathematics: Philadelphia, PA, USA, 2002.
    • (2002) Accuracy and Stability of Numerical Algorithms
    • Higham, N.J.1
  • 9
    • 0004151494 scopus 로고
    • (2nd edn). Cambridge University Press: Cambridge, MA
    • Horn RA, Johnson CR. Matrix Analysis, (2nd edn). Cambridge University Press: Cambridge, MA, 1985.
    • (1985) Matrix Analysis
    • Horn, R.A.1    Johnson, C.R.2
  • 10
    • 0043139671 scopus 로고    scopus 로고
    • Coordinate transformations for second-order systems. Part II: Elementary structure preserving transformations
    • Garvey SD, Friswell MI, Prells U. Coordinate transformations for second-order systems. Part II: Elementary structure preserving transformations. Journal of Sound and Vibration 2002; 258(5):911-930.
    • (2002) Journal of Sound and Vibration , vol.258 , Issue.5 , pp. 911-930
    • Garvey, S.D.1    Friswell, M.I.2    Prells, U.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.