Linear Systems with Large Uncertainties, with Applications to Truss Structures

@article{Neumaier2007LinearSW,
  title={Linear Systems with Large Uncertainties, with Applications to Truss Structures},
  author={Arnold Neumaier and Andrzej Pownuk},
  journal={Reliable Computing},
  year={2007},
  volume={13},
  pages={149-172}
}
Linear systems whose coefficients have large uncertainties arise routinely in finite element calculations for structures with uncertain geometry, material properties, or loads. However, a true worst case analysis of the influence of such uncertainties was previously possible only for very small systems and uncertainties, or in special cases where the coefficients do not exhibit dependence. This paper presents a method for computing rigorous bounds on the solution of such systems, with a… CONTINUE READING
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