On the condition number of linear least squares problems in a weighted Frobenius norm

BIT Numerical Mathematics

Volumn 36, Issue 3, 1996, Pages 523-530

  Gratton, S ^a  

^a CERFACS   (France)

Author keywords

Backward error analysis; Condition number; Least squares

Indexed keywords

EID: 0042224008     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01731931     Document Type: Article

References (11)

1. Å. Björck. Stability analysis of the method of semi-normal equations for least squares problems. Linear Algebra Appl., 88/89 (1987), pp. 31-48.
2. Å. Björck. Numerical Methods for Least Squares Problems. SIAM, Philadelphia, 1996.
3. F. Chaitin-Chatelin and V. Frayssé. Lectures on Finite Precision Computations. SIAM, Philadelphia, 1996.
4. A. J. Geurts. A contribution to the theory of condition, Numer. Math., 39 (1982), pp. 85-96.
5. N. J. Higham. A collection of test matrices in MATLAB, ACM Trans. Math. Software, 17 (1991), pp. 289-305.
6. N. J. Higham. Accuracy and Stability of Numerical Algorithms. SIAM, Philadelphia, 1996.
7. J. R. Rice. A theory of condition, SIAM J. Numer. Anal., 3 (1966), pp. 287-310.
8. The MathWorks. MATLAB Reference Guide. The MathWorks Inc., Natick, MA, 1992.
9. B. Waldeń, R. Karlson, and J. Sun. Optimal backward perturbation bounds for the linear least squares problem, J. Numer. Linear Algebra Appl., 2 (1995), pp. 271-286.
10. P.-Å. Wedin. Perturbation thoery for pseudoinverses, BIT, 13 (1973), pp. 217-232.
11. S. Wolfram. Mathematica, a System for Doing Mathematics by Computer. Addison-Wesley Publishing Company, 1988.