Error analysis of floating-point computation

@article{Wilkinson1960ErrorAO,
  title={Error analysis of floating-point computation},
  author={J. H. Wilkinson},
  journal={Numerische Mathematik},
  year={1960},
  volume={2},
  pages={319-340}
}
This paper consists of two main sections. In the first the bounds are derived for the rounding errors made in the fundamental floating-point arithmetic operations. In the second, these results are applied in the analysis of a number of computing techniques for the calculation of the eigenvalues of matrices. In each case thecomputed solution is expressed as the exact solution of a perturbed version of the original matrix and bounds are found for the perturbations. For one of the techniques, an a… Expand
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