On optimal backward perturbation bounds for the linear least squares problem

BIT Numerical Mathematics

Volumn 37, Issue 1, 1997, Pages 179-188

  Sun, Ji Guang ^a  

^a UMEÅ UNIVERSITY   (Sweden)

Author keywords

Backward perturbations; Linear least squares problem

Indexed keywords

EID: 0012096222     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02510179     Document Type: Article

References (9)

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4. N. J. Higham, Computing error bounds for regression problems, in P. J. Brown and W. A. Fuller, editors, Statistical Analysis of Measurement Error Models and Applications, Contemporary Mathematics 112, pp. 195-208, American Mathematical Society, Providence, RI, 1990.
5. N. J. Higham, Accuracy and Stability of Numerical Algorithms, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1996.
6. G. W. Stewart and J.-G. Sun, Matrix Perturbation Theory, Academic Press, New York, 1990.
7. J. -G. Sun and Z. Sun, Optimal backward perturbation bounds for underdetermined systems, UMINF 96.02, ISSN-0348-0542, Department of Computing Science, Umeå University, 1996. To appear in SIAM J. Matrix Anal. Appl.
8. J. -G. Sun and Z. Sun, Optimal backward perturbation bounds for underdetermined systems, UMINF 96.02, ISSN-0348-0542, Department of Computing Science, Umeå University, 1996. To appear in SIAM J. Matrix Anal. Appl.
9. B. Waidén, R. Karlson, and J. -G. Sun, Optimal backward perturbation bounds for the linear least squares problem, Numer. Linear Algebra Appl., 2 (1995), 271-286.