On the Solution of Parametrised Linear Systems

@inproceedings{Popova2003OnTS,
  title={On the Solution of Parametrised Linear Systems},
  author={Evgenija D. Popova},
  year={2003}
}
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