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Parametric Solution Set of Interval Linear System

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Consider a parametric linear system A(p).x = b(p), where the elements of the matrix A(p) and the right-hand side vector b(p) are afinne-linear or non-linear combinations of some parameters, e.g. p1, p2, ..., pk.
By this page you can plot the parametric solution set of the system A(p).x = b(p), the solution set of the non-parametric interval linear system A([p]).x = b([p]) corresponding to the parametric one, both solution sets together with some points or interval boxes on the same plot.

Enter the elements of the parametric matrix:

a(1,1) =    a(1,2) =

a(2,1) =    a(2,2) =

Enter the elements of the parametric right hand side vector:

b(1) =    b(2) =

Enter the interval values for the parameters by a list of rules:
Rules have the form parameter_name -> numeric interval.

The parametric solution set depending on more than one parameter consists of one-parameter (p1) curves drawn on an uniform mesh for the parameters p2 to pk. The quality of the graphics depends on the magnitude of the step sizes.

Enter a list of the step sizes for the parameters p2, ..., pk:
The default step size is 1% of the width of the corresponding interval.

Color of the parametric solution (RGB color): red part : green part : blue part :

To specify some 2D graphics options, click here.

To download the generated graphics, click here.

Plot solution sets

Parametric solution set
Show the non-parametric solution set, corresponding to the parametric linear system. ( The non-parametric system is obtained by replacing each parameter by its interval value.)
Plot both solution sets on the same graphics
Plot none of the solution sets

Show the non-parametric solution set in the range: (obligatory for unbounded solution sets)
The specified solution set range can change the view of the solution set, only if the specified range is contained in the Exact Hull of the solution set.

< = x(1) < = , < = x(2) < =

Color of the filling (RGBColor): red part : green part : blue part :

Show all points of the non-parametric solution set obtained by combining the interval end points:

Point size:

Point color (RGBColor): red part : green part : blue part :

Show all points of the parametric solution set obtained by combining the interval end points:

Point size:

Point color (RGBColor): red part : green part : blue part :

Show interval boxes:

Enter Interval Box (e.g. {Interval[{1.2, 2.3}], Interval[{-1.2, 3.4}] }):

Thickness: Dashing: RGB Color: red: green: blue: