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Volumn 41, Issue 4, 2001, Pages 739-747

Computation of optimal backward perturbation bounds for large sparse linear least squares problems

Author keywords

Backward perturbation; Bisection; Lanczos bidiagonalization; Linear least squares; Sparse matrix

Indexed keywords


EID: 0041317080     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021952203842     Document Type: Article
Times cited : (4)

References (13)
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  • 2
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    • Eldén, L.1
  • 7
    • 0032622963 scopus 로고    scopus 로고
    • Backward perturbation bounds for linear least squares problems
    • M. Gu, Backward perturbation bounds for linear least squares problems, SIAM J. Matrix Anal. Appl., 20:2 (1998), pp. 363-372.
    • (1998) SIAM J. Matrix Anal. Appl. , vol.20 , Issue.2 , pp. 363-372
    • Gu, M.1
  • 8
    • 0003258173 scopus 로고    scopus 로고
    • Accuracy and Stability of Numerical Algorithms
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    • N. J. Higham, Accuracy and Stability of Numerical Algorithms, SIAM, PA, 1996.
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  • 9
    • 0000149962 scopus 로고    scopus 로고
    • Backward error bounds for constrained least squares problems
    • A. J. Cox and N. J. Higham, Backward error bounds for constrained least squares problems, BIT, 39:2 (1999), pp. 210-227.
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    • Cox, A.J.1    Higham, N.J.2
  • 10
    • 0012031083 scopus 로고    scopus 로고
    • Estimation of optimal backward perturbation bounds for the linear least squares problem
    • R. Karlsson and B. Waldén, Estimation of optimal backward perturbation bounds for the linear least squares problem, BIT, 37:4 (1997), pp. 862-869.
    • (1997) BIT , vol.37 , Issue.4 , pp. 862-869
    • Karlsson, R.1    Waldén, B.2
  • 11
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    • LSQR. An algorithm for sparse linear equations and sparse least squares
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    • Optimal backward perturbation bounds for the linear least squares problem
    • B. Waldén, R. Karlsson, and J.-G. Sun, Optimal backward perturbation bounds for the linear least squares problem, Numer. Linear Algebra Appl., 2:3 (1995), pp. 271-286.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.