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Parametric Linear System

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involving rational dependencies

Here you can solve parametric linear systems (square, over-, or underdetermined) that involve rational dependencies between interval parameters. (This page is updated March 2006.)

The solution method is a generalized parametric fixed-point iteration combined with algebraic simplification and generalised interval arithmetic for obtaining sharp range enclosure.

Input data (the system matrix, the right-hand side vector, the parameters and the intervals wherein they vary) should be symbolic-numeric and must be specified in Mathematica notations.


data from the last uploaded data files. To upload the necessary data files click here.

Active data files:    None

Manual input

Enter a parametric matrix row by row enclosed in curly brackets:



Enter the right-hand side vector:



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


Compute Optional:     Inner Estimation





The following messages were generated during the evaluation:

General::obspkg: 
   LinearAlgebra`MatrixManipulation`
     is now obsolete. The legacy version being loaded may conflict with
     current Mathematica functionality. See the Compatibility Guide for
     updating information.

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