On the Solution of Parametrised Linear Systems

@inproceedings{Popova2001OnTS,
  title={On the Solution of Parametrised Linear Systems},
  author={E. Popova},
  year={2001}
}
  • E. Popova
  • Published 2001
  • Mathematics
  • Considered are parametrised linear systems which parameters are subject to tolerances. Rump’s fixed-point iteration method for finding outer and inner approximations of the hull of the solution set is studied and applied to an electrical circuit problem. Interval Gauss-Seidel iteration for parametrised linear systems is introduced and used for improving the enclosures, obtained by the fixed-point method, whenever they are not good enough. Generalised interval arithmetic (on proper and improper… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 11 REFERENCES
    Introduction to Interval Computation
    1489
    Interval methods for systems of equations
    2117
    Methods and applications of interval analysis
    2220
    An Application of Interval Operations to Electric Network Analysis
    • 1993
    Applications of Interval Analysis to Systems & Control
    • 1999
    Computer arithmetic in theory and practice
    301