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Volumn 266, Issue 1-3, 1997, Pages 337-345

Relative perturbation theory. III. More bounds on eigenvalue variation

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EID: 0039419182     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)00029-3     Document Type: Article
Times cited : (26)

References (11)
  • 1
    • 85045589077 scopus 로고    scopus 로고
    • Some inequalities for commutators and an application to spectral variation. II
    • to appear
    • R. Bhatia, Fuad Kittaneh, and R.-C. Li, Some inequalities for commutators and an application to spectral variation. II, Linear and Multilinear Algebra, to appear.
    • Linear and Multilinear Algebra
    • Bhatia, R.1    Kittaneh, F.2    Li, R.-C.3
  • 2
    • 0001192187 scopus 로고
    • Accurate singular values of bidiagonal matrices
    • J. Demmel and W. Kahan, Accurate singular values of bidiagonal matrices, SIAM J. Sci. Statist. Comput. 11:873-912 (1990).
    • (1990) SIAM J. Sci. Statist. Comput. , vol.11 , pp. 873-912
    • Demmel, J.1    Kahan, W.2
  • 3
    • 21844489875 scopus 로고
    • Singular values, doubly stochastic matrices, and applications
    • L. Elsner and S. Friedland, Singular values, doubly stochastic matrices, and applications, Linear Algebra Appl. 220:161-169 (1995).
    • (1995) Linear Algebra Appl. , vol.220 , pp. 161-169
    • Elsner, L.1    Friedland, S.2
  • 4
    • 84972526350 scopus 로고
    • The variation of the spectrum of a normal matrix
    • A. J. Hoffman and H. W. Wielandt, The variation of the spectrum of a normal matrix, Duke Math. J. 20:37-39 (1953).
    • (1953) Duke Math. J. , vol.20 , pp. 37-39
    • Hoffman, A.J.1    Wielandt, H.W.2
  • 6
    • 0004126896 scopus 로고
    • Technical Report UCB//CSD-94-855, Computer Science Div., Dept. of EECS, Univ. of California, Berkeley
    • R.-C. Li, Relative Perturbation Theory: (I) Eigenvalue and Singular Value Variations, Technical Report UCB//CSD-94-855, Computer Science Div., Dept. of EECS, Univ. of California, Berkeley, 1994; rev. Jan. 1996; available at http://www.netlib.org/lapack/lawns/lawn84.ps. A shortened version to appear in SIAM J. Matrix Anal. Appl.
    • (1994) Relative Perturbation Theory: (I) Eigenvalue and Singular Value Variations
    • Li, R.-C.1
  • 7
    • 30244540559 scopus 로고    scopus 로고
    • rev. Jan.
    • R.-C. Li, Relative Perturbation Theory: (I) Eigenvalue and Singular Value Variations, Technical Report UCB//CSD-94-855, Computer Science Div., Dept. of EECS, Univ. of California, Berkeley, 1994; rev. Jan. 1996; available at http://www.netlib.org/lapack/lawns/lawn84.ps. A shortened version to appear in SIAM J. Matrix Anal. Appl.
    • (1996) SIAM J. Matrix Anal. Appl.
  • 8
    • 0004126896 scopus 로고
    • Technical Report UCB//CSD-94-856, Computer Science Div., Dept. of EECS, Univ. of California, Berkeley
    • R.-C. Li, Relative Perturbation Theory: (II) Eigenspace and Singular Subspace Variations, Technical Report UCB//CSD-94-856, Computer Science Div., Dept. of EECS, Univ. of California, Berkeley, 1994; rev. Jan. 1996, Apr. 1996; available at http://www.netlib.org/lapack/lawns/lawn85.ps. A shortened version to appear in SIAM J. Matrix Anal. Appl.
    • (1994) Relative Perturbation Theory: (II) Eigenspace and Singular Subspace Variations
    • Li, R.-C.1
  • 9
    • 30244438520 scopus 로고    scopus 로고
    • rev. Jan. 1996, Apr.
    • R.-C. Li, Relative Perturbation Theory: (II) Eigenspace and Singular Subspace Variations, Technical Report UCB//CSD-94-856, Computer Science Div., Dept. of EECS, Univ. of California, Berkeley, 1994; rev. Jan. 1996, Apr. 1996; available at http://www.netlib.org/lapack/lawns/lawn85.ps. A shortened version to appear in SIAM J. Matrix Anal. Appl.
    • (1996) SIAM J. Matrix Anal. Appl.
  • 10
    • 0347759537 scopus 로고
    • Perturbation bounds of eigenvalues of symmetrizable matrices
    • T.-X. Lu, Perturbation bounds of eigenvalues of symmetrizable matrices (in Chinese), Numer. Math. J. Chinese Univ. 16:177-185 (1994).
    • (1994) Numer. Math. J. Chinese Univ. , vol.16 , pp. 177-185
    • Lu, T.-X.1
  • 11
    • 0007172459 scopus 로고
    • A quantitative formulation of Sylvester's law of inertia
    • A. M. Ostrowski, A quantitative formulation of Sylvester's law of inertia, Proc. Nat. Acad. Sci. U.S.A. 45:740-744 (1959).
    • (1959) Proc. Nat. Acad. Sci. U.S.A. , vol.45 , pp. 740-744
    • Ostrowski, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.