Visualizing Parametric Solution Sets
نویسندگان
چکیده
We characterize the boundary ∂Σ of the solution set Σ 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 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 byMathematica and Maple. AMS subject classification (2000): 15A06, 65G99, 65S05, 68U05.
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تاریخ انتشار 2008