Help with Grobner Basis in Mupad

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Nachum Lerner
Nachum Lerner 2014-1-19
编辑： Nachum Lerner 2014-1-19
Hi In a lagrange multipliers problem i'm trying to eliminate lamda out of the equation. I was trying to do it by grobner basis in Mupad but it isn't really working. Can some one give me a bit help how should it be done?
J:=x^2+y^2
e1:=6*x+6*y +2*x*y+1+k
e2:=(x-1)^2+(y-1)^2-k
C:=e1*e2;
L:=J+lamda*C
Lx:=diff(L,x)
Ly:=diff(L,y)
Llamda:=C
This is what I'm getting [lamda^2, 4*k*lamda - y - 5*lamda, k^2 - k + 108*lamda - 24*y - 2, lamda*y, y - 27*lamda + 4*k*y, y^2, x - y]
I would like my basis to be a variable of J (J=x^2+y^2)and k. How can it be done?
Thanks
Nachum

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