Geodesic
Computing and Visualizing Solution Sets of Interval Linear Systems
Serdica Journal of Computing, Tome 1 (2007) no. 4, pp. 455-468.

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The computation of the exact solution set of an interval linear system is a nontrivial task [2, 13]. Even in two and three dimensions a lot of work has to be done. We demonstrate two different realizations. The first approach (see [16]) is based on Java, Java3D, and the BigRational package [21]. An 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 [5]) uses Maple and intpakX [22, 8, 12] 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 ρ(|I-mid^(-1)(A)*Aj|) 1 [14]. Here, I means the identity matrix, mid(A) denotes the midpoint matrix and ρ denotes the spectral radius of a real matrix.
Keywords: Solution Sets, Interval Linear Systems, Reliable Computations, Visualization Using Computer Algebra Tools, intpakX 
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Krämer, Walter. Computing and Visualizing Solution Sets of Interval Linear Systems. Serdica Journal of Computing, Tome 1 (2007) no. 4, pp. 455-468. http://geodesic.mathdoc.fr/item/SJC_2007_1_4_a5/