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Volumn 18, Issue 4, 1997, Pages 959-980

Spectral perturbation bounds for positive definite matrices

Author keywords

Error analysis; Graded matrix; Jacobi's method; Perturbation theory; Positive definite matrix; Symmetric eigenvalue problem

Indexed keywords


EID: 0031493430     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479894271081     Document Type: Article
Times cited : (23)

References (13)
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  • 2
    • 21144468781 scopus 로고
    • Jacobi's method is more accurate than QR
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  • 3
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    • Relative perturbation techniques for singular value problems
    • S. C. EISENSTAT AND I. C. F. IPSEN, Relative perturbation techniques for singular value problems, SIAM J. Numer. Anal., 32 (1995), pp. 1972-1988.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 1972-1988
    • Eisenstat, S.C.1    Ipsen, I.C.F.2
  • 7
    • 85033119001 scopus 로고    scopus 로고
    • Relative perturbation theory: (I) eigenvalue and singular value variations
    • LA-PACK Working Note 84, to appear
    • R.-C. LI, Relative Perturbation Theory: (I) Eigenvalue and Singular Value Variations, LA-PACK Working Note 84, SIAM J. Matrix Anal., to appear.
    • SIAM J. Matrix Anal.
    • Li, R.-C.1
  • 8
    • 6244308227 scopus 로고
    • A note on Jacobi being more accurate then QR
    • W. MASCARENHAS, A note on Jacobi being more accurate then QR, SIAM J. Matrix Anal. Appl., 15 (1994), pp. 215-218.
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    • Mascarenhas, W.1
  • 9
    • 0031520185 scopus 로고    scopus 로고
    • A bound for the matrix square root with application to eigenvector perturbation
    • R. MATHIAS, A bound for the matrix square root with application to eigenvector perturbation, SIAM J. Matrix Anal. Appl., 18 (1997), pp. 861-867.
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , pp. 861-867
    • Mathias, R.1
  • 10
    • 0042375241 scopus 로고
    • Accurate eigensystem computations by Jacobi methods
    • R. MATHIAS, Accurate eigensystem computations by Jacobi methods, SIAM J. Matrix Anal. Appl., 16 (1995), pp. 977-1003.
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    • Mathias, R.1
  • 11
    • 0000683534 scopus 로고
    • Instability of parallel prefix matrix multiplication
    • R. MATHIAS, Instability of parallel prefix matrix multiplication, SIAM J. Sci. Statist. Comput., 16 (1995), pp. 956-973.
    • (1995) SIAM J. Sci. Statist. Comput. , vol.16 , pp. 956-973
    • Mathias, R.1
  • 12
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    • Fast accurate eigenvalue computations for graded positive definite matrices
    • R. MATHIAS, Fast accurate eigenvalue computations for graded positive definite matrices, Numer. Math., 74 (1996), pp. 85-103.
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  • 13
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    • A relative perturbation bound for positive definite, matrices
    • to appear
    • R. MATHIAS AND K. VESELIĆ, A relative perturbation bound for positive definite, matrices, Linear Algebra Appl., to appear.
    • Linear Algebra Appl.
    • Mathias, R.1    Veselić, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.