Pin-pointing solution of ill-conditioned square systems of linear equations

Applied Mathematics Letters

Volumn 13, Issue 7, 2000, Pages 119-124

  Volokh, K Y ^a   Vilnay, O ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Accuracy; Hilbert matrix; Ill conditioned systems; Nullspace; Singular value decomposition

Indexed keywords

EID: 0039248258     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00086-0     Document Type: Article

References (8)

1. G.H. Golub and C.F. Van Loan, Matrix Computations, Third Edition, The Johns Hopkins University Press, Baltimore, MD, (1996).
2. A. Bjork, Numerical Methods for Least Squares Problems, SIAM Publications, Philadelphia, PA, (1996).
3. LINPACK User's Guide, SIAM Publications, Philadelphia, PA, (1979).
4. P.C. Hansen, Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion, SIAM Publications, Philadelphia, PA, (1997).
5. S. Wolfram, Mathematica: A System for Doing Mathematics by Computer, Second Edition, Addison-Wesley, Reading, MA, (1991).
6. MATLAB User's Guide, The MathWorks Inc., Natick, (1993).
7. I. Gohberg and I. Koltracht, On the inversion of Cauchy matrices, In Proceedings of the International Symposium MTNS-89, (Vol. 3): Signal Processing, Scattering and Operator Theory, and Numerical Methods, pp. 381-392, Birkhauser, (1990).
8. N.J. Higham, Accuracy and Stability of Numerical Algorithms, SIAM Publications, Philadelphia, PA, (1996).