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Volumn 36, Issue 1, 1996, Pages 166-181

Accurate downdating of a modified Gram-Schmidt QR decomposition

Author keywords

Gram Schmidt downdating algorithm; Householder transformation; Least squares problems; Modified Gram Schmidt algorithm; QR decomposition downdating; Reorthogonalization

Indexed keywords


EID: 0000057642     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01740553     Document Type: Article
Times cited : (18)

References (17)
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  • 2
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    • Anda, A.A.1    Park, H.2
  • 3
    • 0002168778 scopus 로고
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    • Å. Björck. Solving linear least squares problems by Gram-Schmidt orthogonalization. BIT, 7(1967), pp. 1-21.
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    • Björck, Å.1
  • 4
    • 0040176451 scopus 로고
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    • G.H. Golub and P. Van Dooren, eds., NATO ASI Series, Springer-Verlag, Berlin-Heidelberg
    • Å. Björck. Error analysis of least squares algorithms. In Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms, G.H. Golub and P. Van Dooren, eds., NATO ASI Series, Vol. F70, Springer-Verlag, Berlin-Heidelberg, 1991.
    • (1991) Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms , vol.F70
    • Björck, Å.1
  • 5
    • 0001688779 scopus 로고
    • Loss and Recapture of orthogonality in the modified Gram-Schmidt algorithm
    • Å. Björck and C. C. Paige. Loss and Recapture of orthogonality in the modified Gram-Schmidt algorithm. SIAM J. Matrix Anal. Appl., 13(1992), pp. 176-190.
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    • Björck, Å.1    Paige, C.C.2
  • 7
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    • Reorthogonalization and stable algorithms for updating the Gram-Schmidt QR factorization
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    • (1976) Mathematics of Computation , vol.30 , pp. 772-795
    • Daniel, J.1    Gragg, W.B.2    Kaufman, L.3    Stewart, G.W.4
  • 9
    • 0041198797 scopus 로고
    • Matrix decompositions and statistical computations
    • R. C. Milton and J. A. Neider, eds., Academic Press, New York
    • G. H. Golub. Matrix decompositions and statistical computations. In Statistical Computation, R. C. Milton and J. A. Neider, eds., Academic Press, New York, 1969, pp. 365-397.
    • (1969) Statistical Computation , pp. 365-397
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  • 12
    • 84966253973 scopus 로고
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  • 14
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  • 15
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    • Large-scale linear programming using the Cholesky factorization
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    • (1972) Technical Report CS252
    • Saunders, M.A.1
  • 16
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    • Optimal backward perturbation bounds for the linear least squares problem
    • B. Waldén, R. Karlson and J. Sun. Optimal backward perturbation bounds for the linear least squares problem. Numerical Linear Algebra and Applications, 2(1995), pp. 271-286.
    • (1995) Numerical Linear Algebra and Applications , vol.2 , pp. 271-286
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.