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Solving system of inequalities with 3 variables in python

0

$begingroup$

I'm trying to solve a system of multivariables with inequalities in python.

I have this set of equations:

x>=y, 
x<2*y, 
z>=x, 
z<2*x, 
x>1, y>1, z>1, 
x*y*z=100

I have tried this code:

solve_rational_inequalities([[
 ((100, Poly(x*y*z)), '=='),
 ((Poly(x), 1), '>'),
 ((Poly(y), 1), '>'),
 ((Poly(z), 1), '>'),
 ((Poly(z-x), 0), '>='),
 ((Poly(z-2*x), 0), '<'),
 ((Poly(x-y), 0), '>='),
 ((Poly(x-2*y), 0), '<')]])

But this function only works with univariate polynomials.
Can anyone recommend a different function or other way of solving it?

inequality systems-of-equations python

share|cite|improve this question

asked Oct 3 '18 at 6:32

mCaladomCalado

12

$endgroup$

add a comment | 

0

$begingroup$

I'm trying to solve a system of multivariables with inequalities in python.

I have this set of equations:

x>=y, 
x<2*y, 
z>=x, 
z<2*x, 
x>1, y>1, z>1, 
x*y*z=100

I have tried this code:

solve_rational_inequalities([[
 ((100, Poly(x*y*z)), '=='),
 ((Poly(x), 1), '>'),
 ((Poly(y), 1), '>'),
 ((Poly(z), 1), '>'),
 ((Poly(z-x), 0), '>='),
 ((Poly(z-2*x), 0), '<'),
 ((Poly(x-y), 0), '>='),
 ((Poly(x-2*y), 0), '<')]])

But this function only works with univariate polynomials.
Can anyone recommend a different function or other way of solving it?

inequality systems-of-equations python

share|cite|improve this question

asked Oct 3 '18 at 6:32

mCaladomCalado

12

$endgroup$

add a comment | 

$begingroup$

I'm trying to solve a system of multivariables with inequalities in python.

I have this set of equations:

x>=y, 
x<2*y, 
z>=x, 
z<2*x, 
x>1, y>1, z>1, 
x*y*z=100

I have tried this code:

solve_rational_inequalities([[
 ((100, Poly(x*y*z)), '=='),
 ((Poly(x), 1), '>'),
 ((Poly(y), 1), '>'),
 ((Poly(z), 1), '>'),
 ((Poly(z-x), 0), '>='),
 ((Poly(z-2*x), 0), '<'),
 ((Poly(x-y), 0), '>='),
 ((Poly(x-2*y), 0), '<')]])

But this function only works with univariate polynomials.
Can anyone recommend a different function or other way of solving it?

inequality systems-of-equations python

share|cite|improve this question

asked Oct 3 '18 at 6:32

mCaladomCalado

12

$endgroup$

x>=y, 
x<2*y, 
z>=x, 
z<2*x, 
x>1, y>1, z>1, 
x*y*z=100

solve_rational_inequalities([[
 ((100, Poly(x*y*z)), '=='),
 ((Poly(x), 1), '>'),
 ((Poly(y), 1), '>'),
 ((Poly(z), 1), '>'),
 ((Poly(z-x), 0), '>='),
 ((Poly(z-2*x), 0), '<'),
 ((Poly(x-y), 0), '>='),
 ((Poly(x-2*y), 0), '<')]])

share|cite|improve this question

asked Oct 3 '18 at 6:32

mCaladomCalado

12

share|cite|improve this question

asked Oct 3 '18 at 6:32

mCaladomCalado

12

asked Oct 3 '18 at 6:32

mCaladomCalado

12

asked Oct 3 '18 at 6:32

mCaladomCalado

12