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Volumn 39, Issue 4, 1999, Pages 740-756

Bounds on Singular Values Revealed by QR Factorizations

Author keywords

Cyclic column pivoting; Rank revealing QR factorization; Singular values

Indexed keywords


EID: 0001972217     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022395308695     Document Type: Article
Times cited : (30)

References (11)
  • 1
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    • C. H. Bischof, Incremental condition estimation, SIAM J. Matrix Anal. Appl., 11:2 (1990), pp. 312-322.
    • (1990) SIAM J. Matrix Anal. Appl. , vol.11 , Issue.2 , pp. 312-322
    • Bischof, C.H.1
  • 2
    • 0002170151 scopus 로고
    • Rank revealing QR factorizations
    • T. F. Chan, Rank revealing QR factorizations, Linear Algebra Appl, 88/89 (1987), pp. 67-82.
    • (1987) Linear Algebra Appl , vol.88-89 , pp. 67-82
    • Chan, T.F.1
  • 3
    • 0000924593 scopus 로고
    • Numerical methods for solving least squares problems
    • G. H. Golub, Numerical methods for solving least squares problems, Numer. Math. 7 (1965), pp. 206-216.
    • (1965) Numer. Math. , vol.7 , pp. 206-216
    • Golub, G.H.1
  • 5
    • 84968501766 scopus 로고
    • Rank-revealing QR factorizations and the singular value decomposition
    • Y. P. Hong and C.-T. Pan, Rank-revealing QR factorizations and the singular value decomposition, Math. Comp. 58 (1992), pp. 213-232.
    • (1992) Math. Comp. , vol.58 , pp. 213-232
    • Hong, Y.P.1    Pan, C.-T.2
  • 7
    • 0042472674 scopus 로고
    • Preprint MCS-P332-1092, Oct. 1992, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL
    • C.-T. PAN AND P. T. P. TANG, Bounds on singular values revealed by QR factorizations, Preprint MCS-P332-1092, Oct. 1992, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, 1992.
    • (1992) Bounds on Singular Values Revealed by QR Factorizations
    • Pan, C.-T.1    Tang, P.T.P.2
  • 10
    • 0010886867 scopus 로고
    • Determining rank in the presence of error
    • M. S. Moonen, G. H. Golub, and B. L. R. De Moor eds., Kluwer Academic Publishers, Dordrecht
    • G. W. Stewart, Determining rank in the presence of error, in Linear Algebra for Large Scale and Real-Time Applications, M. S. Moonen, G. H. Golub, and B. L. R. De Moor eds., Kluwer Academic Publishers, Dordrecht, 1992, pp. 275-292.
    • (1992) Linear Algebra for Large Scale and Real-time Applications , pp. 275-292
    • Stewart, G.W.1
  • 11
    • 21344483531 scopus 로고
    • Dynamic condition estimation and Rayleigh-Ritz approximation
    • P. T. P. Tang, Dynamic condition estimation and Rayleigh-Ritz approximation, SIAM J. Matrix Anal. Appl., 15:1 (1994), pp 331-346.
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , Issue.1 , pp. 331-346
    • Tang, P.T.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.