ON THE SOLUTION OF PARAMETRISEDLINEAR SYSTEMSEvgenija

Considered are parametrised linear systems which parameters are subject to tolerances. Rump's xed-point iteration method for nding 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 xed-point method, whenever they are not good enough. Generalised interval arithmetic (on proper and improper intervals) is considered as a computational tool for eecient handling of proper interval problems (to obtain inner interval estimations without inward rounding and to eliminate the dependency problem in parametri-sed Gauss-Seidel iteration). Numerical results from the application of the above methods to an electrical circuit problem are discussed.