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Volumn 40, Issue 2, 2000, Pages 395-403

A Note on Sin θ Theorems for Singular Subspace Variations

Author keywords

Perturbation bounds; Singular value decomposition

Indexed keywords


EID: 0041407060     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022303426500     Document Type: Article
Times cited : (32)

References (10)
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    • Davis, C.1    Kahan, W.2
  • 2
    • 0009086357 scopus 로고    scopus 로고
    • Computing the singular value decomposition with high relative accuracy
    • Computer Science Division, University of California, Berkeley, February LAPACK Working Note 119
    • J. Demmel, M. Gu, S. Eisenstat, I. Slapničar, K. Veselić, and Z. Drmač, Computing the singular value decomposition with high relative accuracy, Tech. Report CSD-97-934, Computer Science Division, University of California, Berkeley, February 1997; LAPACK Working Note 119.
    • (1997) Tech. Report CSD-97-934
    • Demmel, J.1    Gu, M.2    Eisenstat, S.3    Slapničar, I.4    Veselić, K.5    Drmač, Z.6
  • 4
    • 21844485894 scopus 로고
    • New perturbation bounds for the unitary polar factor
    • R.-C. Li, New perturbation bounds for the unitary polar factor, SIAM J. Matrix Anal. Appl., 16 (1995), pp. 327-332.
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , pp. 327-332
    • Li, R.-C.1
  • 5
    • 0032344743 scopus 로고    scopus 로고
    • Relative perturbation theory: (I) Eigenvalue and singular value variations
    • R.-C. Li, Relative perturbation theory: (I) Eigenvalue and singular value variations, SIAM J. Matrix Anal. Appl., 19 (1998), pp. 956-982.
    • (1998) SIAM J. Matrix Anal. Appl. , vol.19 , pp. 956-982
    • Li, R.-C.1
  • 6
    • 0032216896 scopus 로고    scopus 로고
    • Relative perturbation theory: (II) Eigenspace and singular subspace variations
    • R.-C. Li, Relative perturbation theory: (II) Eigenspace and singular subspace variations, SIAM J. Matrix Anal. Appl., 20 (1999), pp. 471-492.
    • (1999) SIAM J. Matrix Anal. Appl. , vol.20 , pp. 471-492
    • Li, R.-C.1
  • 7
    • 0039216024 scopus 로고
    • A note on a result of Sun Ji-Guang: Sensitivity of the CS and GSV decompositions
    • C. C. Paige, A note on a result of Sun Ji-Guang: Sensitivity of the CS and GSV decompositions, SIAM J. Numer. Anal., 21 (1984), pp. 186-191.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 186-191
    • Paige, C.C.1
  • 9
    • 0002790288 scopus 로고
    • Perturbation bounds in connection with singular value decomposition
    • P.-Å. Wedin, Perturbation bounds in connection with singular value decomposition, BIT, 12 (1972), pp. 99-111.
    • (1972) BIT , vol.12 , pp. 99-111
    • Wedin, P.-Å.1
  • 10
    • 0001312940 scopus 로고
    • On angles between subspaces
    • B. Kågström and A. Ruhe, eds., Springer-Verlag, New York
    • P.-Å. Wedin, On angles between subspaces., in Matrix Pencils, B. Kågström and A. Ruhe, eds., Springer-Verlag, New York, 1983, pp. 263-285.
    • (1983) Matrix Pencils , pp. 263-285
    • Wedin, P.-Å.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.