Question: minimize a polynomial function

Dear all,

I am trying to minimize this polynomial function G on [0,1]x[0,1]:

Maple 2022 seems unable to find the (approximate) minimum. Even adding _EnvExplicit:=true, as suggested here on a previous post, does not fix the issue.

Any suggestion?

Thanks, Nicola

restart:

_EnvExplicit:=true:

G := (x, y) -> ((-1)*38.87*y^4 + 39.7800000000000*y^3 + (-1)*6.76000000000000*y^2 + 10.4000000000000*y - 3.90000000000000)*x^4 + (39.78*y^4 + (-1)*40.4600000000000*y^3 + 6.80000000000000*y^2 + (-1)*10.2000000000000*y + 3.40000000000000)*x^3 + ((-1)*6.76*y^4 + 6.80000000000000*y^3 + (-1)*1.12000000000000*y^2 + 1.60000000000000*y - 0.400000000000000)*x^2 + (10.4*y^4 + (-1)*10.2000000000000*y^3 + 1.60000000000000*y^2 + (-1)*2.00000000000000*y)*x + 1. + (-1)*3.9*y^4 + (-1)*0.4*y^2 + 3.4*y^3

proc (x, y) options operator, arrow; (-38.87*y^4+39.7800000000000*y^3-6.76000000000000*y^2+10.4000000000000*y-3.90000000000000)*x^4+(39.78*y^4-40.4600000000000*y^3+6.80000000000000*y^2-10.2000000000000*y+3.40000000000000)*x^3+(-6.76*y^4+6.80000000000000*y^3-1.12000000000000*y^2+1.60000000000000*y-.400000000000000)*x^2+(10.4*y^4-10.2000000000000*y^3+1.60000000000000*y^2-2.00000000000000*y)*x+1.-3.9*y^4-.4*y^2+3.4*y^3 end proc

(1)

minimize(G(x,y),x=0..1,y=0..1)

 

NULL

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