AN ESTIMATE FOR THE CONDITION NUMBER OF A MATRIX

@article{Cline1979ANEF,
  title={AN ESTIMATE FOR THE CONDITION NUMBER OF A MATRIX},
  author={A. K. Cline and C. Moler and G. Stewart and J. H. Wilkinson},
  journal={SIAM Journal on Numerical Analysis},
  year={1979},
  volume={16},
  pages={368-375}
}
It is important in practice when solving linear systems to have an economical method for estimating the condition number $\kappa (A)$ of the matrix of coefficients. An algorithm involving $O(n^2 )$ arithmetic operations is described; it gives a reliable indication of the order of magnitude of $\kappa (A)$. 
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