Computing and Visualizing Solution Sets of Interval Linear SystemsWalter Kr\"amer
The computation of the exact solution set of an interval linear system is a nontrivial task . Even in two and three dimensions a lot of work has to be done. We will demonstrate two different realizations. The first approach (see ) is based on Java, Java3D, and the BigRational package. The applet allows modifications of the matrix coefficients and/or the coefficients of the right hand side with concurrent real time visualization of the corresponding solution sets. The second approach (see ) uses Maple and intpakX to implement routines for the computation and visualization of two and three dimensional solution sets. The regularity of the interval matrix A is verified by showing that rho (|I- mid(A)*A|) < 1. Here I means the identity matrix, mid(A) denotes the midpoint matrix and rho denotes the spectral radius of a real matrix.
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