Solving systems of linear inequations
We describe how a complete system of linear inequations can be solved. The system written in the traditional form is first written in an equivalent form that involves an homogeneous system of linear inequations plus a simple equation. Thus, we solve first the homogeneous system and later we impose the extra conditon. It is demonstrated that the general solution is a polyhedral, that we define as the sum of a vector space plus a cone plus a polytope. One example of application is given. Finally, it is explained how to pass from the equations of a polyhedral to its parametric equations and vice versa.
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