On the solution of interval linear systems

@article{Rump1992OnTS,
  title={On the solution of interval linear systems},
  author={Siegfried M. Rump},
  journal={Computing},
  year={1992},
  volume={47},
  pages={337-353}
}
In the literature efficient algorithms have been described for calculating guaranteed inclusions for the solution of a number of standard numerical problems [3,4,8,11,12,13]. The inclusions are given by means of a set containing the solution. In [12,13] this set is calculated using an affine iteration which is stopped when a nonempty and compact set is mapped into itself. For exactly given input data (point data) it has been shown that this iteration stops if and only if the iteration matrix is… CONTINUE READING
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