Solving system of linear equations when x_i are in specified set



On 2012-11-16, Kakadu <kakadu.hafanana at gmail.com> wrote:

> I'm new in Maxima and today I've tried to study it a little bit.  I need to
> solve 12 linear equations with 20 variable values (x1,.....x20) to find.
> All x_i are different, natural and 1<= x_i <=20 for any i. (So the set
> {x1,....x20} should be equal to {1,...20}).

If you mean that x_i are restricted to integer values, then this is an
integer programming problem, and unfortunately Maxima doesn't have any
way to solve such a problem, if I am not mistaken. I think you will need
to solve it with some package such as GLPK or lp_solve.

Sorry I can't be more helpful,

Robert Dodier