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Volumn 309, Issue 1-3, 2000, Pages 85-102

Perturbation theory for the eigenvalues of factorised symmetric matrices

Author keywords

Eigenvalues; Relative errors

Indexed keywords


EID: 0034411688     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(99)00157-3     Document Type: Article
Times cited : (16)

References (17)
  • 1
    • 0025445384 scopus 로고
    • Computing accurate eigensystems of scaled diagonally matrices
    • Barlow J., Demmel J. Computing accurate eigensystems of scaled diagonally matrices. SIAM J. Numer. Anal. 27:1988;762-791.
    • (1988) SIAM J. Numer. Anal. , vol.27 , pp. 762-791
    • Barlow, J.1    Demmel, J.2
  • 2
    • 0015200767 scopus 로고
    • Direct methods for solving symmetric indefinite systems of linear equations
    • Bunch J.R., Parlett B.N. Direct methods for solving symmetric indefinite systems of linear equations. SIAM J. Numer. Anal. 8:1971;639-655.
    • (1971) SIAM J. Numer. Anal. , vol.8 , pp. 639-655
    • Bunch, J.R.1    Parlett, B.N.2
  • 3
    • 21144468781 scopus 로고
    • Jacobi's method is more accurate than QR
    • Demmel J., Veselić K. Jacobi's method is more accurate than QR. SIAM J. Matrix Anal. Appl. 13:1992;1204-1245.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 1204-1245
    • Demmel, J.1    Veselić, K.2
  • 6
    • 0030532067 scopus 로고    scopus 로고
    • On the stability of cholesky factorisation for symmetric quasidefinite systems
    • Gill P.E., Saunders M.A., Shinerl J.R. On the stability of cholesky factorisation for symmetric quasidefinite systems. SIAM J. Matrix Anal. Appl. 17:1996;35-46.
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , pp. 35-46
    • Gill, P.E.1    Saunders, M.A.2    Shinerl, J.R.3
  • 9
    • 0345924583 scopus 로고
    • Existence of the hyperbolic singular value decomposition and applications
    • Onn R., Steinhardt A.O., Bojanczyk A. Existence of the hyperbolic singular value decomposition and applications. Linear Algebra Appl. 185:1993;21-30.
    • (1993) Linear Algebra Appl. , vol.185 , pp. 21-30
    • Onn, R.1    Steinhardt, A.O.2    Bojanczyk, A.3
  • 12
    • 0041004928 scopus 로고    scopus 로고
    • Componentwise analysis of direct factorization of real symmetric and Hermitian decomposition
    • Slapničar I. Componentwise analysis of direct factorization of real symmetric and Hermitian decomposition. Linear Algebra Appl. 272:1998;227-275.
    • (1998) Linear Algebra Appl. , vol.272 , pp. 227-275
    • Slapničar, I.1
  • 13
    • 85011438031 scopus 로고
    • Perturbations of the eigenprojections of factorised hermitian matrices
    • Slapničar I., Veselić K. Perturbations of the eigenprojections of factorised hermitian matrices. Linear Algebra Appl. 218:1995;273-280.
    • (1995) Linear Algebra Appl. , vol.218 , pp. 273-280
    • Slapničar, I.1    Veselić, K.2
  • 14
    • 0002090173 scopus 로고
    • Symmetric quasidefinite matrices
    • Vanderbilt R.J. Symmetric quasidefinite matrices. SIAM J. Optimization. 5:1995;100-113.
    • (1995) SIAM J. Optimization , vol.5 , pp. 100-113
    • Vanderbilt, R.J.1
  • 15
    • 21144467676 scopus 로고
    • A Jacobi eigenreduction algorithm for definite matrix pairs
    • Veselić K. A Jacobi eigenreduction algorithm for definite matrix pairs. Numer. Math. 64:1993;241-269.
    • (1993) Numer. Math. , vol.64 , pp. 241-269
    • Veselić, K.1
  • 16
    • 21344486120 scopus 로고
    • Floating-point perturbations of Hermitian matrices
    • Veselić K., Slapničar I. Floating-point perturbations of Hermitian matrices. Linear Algebra Appl. 195:1993;81-116.
    • (1993) Linear Algebra Appl. , vol.195 , pp. 81-116
    • Veselić, K.1    Slapničar, I.2
  • 17
    • 0040435898 scopus 로고    scopus 로고
    • Bound for the condition of a hyperbolic eigenvector matrix
    • Slapničar I., Veselić K. Bound for the condition of a hyperbolic eigenvector matrix. Linear Algebra Appl. 290:1999;247-255.
    • (1999) Linear Algebra Appl. , vol.290 , pp. 247-255
    • Slapničar, I.1    Veselić, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.