Dear all,
we want to find the maximum of the function G over [0,1]x[0,1]. The code
below gives 0 which is clearly wrong.
Using instead
sage: minimize_constrained(-G, [[0, 1], [0, 1]],[1/2, 1/2])
seems to provide the right answer...
var('x,y') c1(x,y)=x c2(x,y)=y c3(x,y)=1-x c4(x,y)=1-y G(x,y) = -(56*x^2*y^2
- 4*x^2*y - 4*x*y^2 - 4*x^2 - x*y - 4*y^2 - x - y - 1)*(x - 1)*(y - 1) M =
minimize_constrained(-G(x,y), [c1(x,y),c2(x,y),c3(x,y),c4(x,y)],[0.5,0.5])
print(G(M[0],M[1]))
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