Visualizing parametric solution sets

We characterize the boundary ∂Σ ^p of the solution set Σ ^p of a parametric linear system A(p)x=b(p) where the elements of the n×n matrix and the right-hand side vector depend on a number of parameters p varying within interval bounds. The characterization of ∂Σ ^p is by means of pieces of parametric hypersurfaces, the latter represented by their coordinate functions depending on corresponding subsets of n-1 parameters. The presented approach has a direct application for efficient visualization of parametric solution sets by utilizing some plotting functions supported by Mathematica and Maple. Electronic supplementary material The online version of this article (doi: ) contains supplementary material, which is available to authorized users. AMS subject classification (2000) 15A06, 65G99, 65S05, 68U05