Error Analysis of Direct Methods of Matrix Inversion

@article{Wilkinson1961ErrorAO,
  title={Error Analysis of Direct Methods of Matrix Inversion},
  author={J. H. Wilkinson},
  journal={J. ACM},
  year={1961},
  volume={8},
  pages={281-330}
}
1. In order to assess the relative effectiveness of methods of inverting a matrix it is useful to have a priori bounds for the errors in the computed inverses. In this paper we determine such error bounds for a number of the most effective direct methods. To illustrate fully the techniques we have used, some of the analysis has been done for floating-point computat ion and some for fixed-point. In all cases it has been assumed tha t the computat ion has been performed using a precision of t… Expand
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References

The hnear equations prob|em
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  • 1959