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Why the form of constraint affects the result of NMinimize?


Hi, all,

I want to find the global minima of f[x1,x2,x3,x4] subject to constraints,
and I found that the results of
NMinimize[{f[x1,x2,x3,x4],x1>0 && x2>x3>0 && x4>x2^2+x2*x3},{x1,x2,x3,x4}]
and
NMinimize[{f[x1,x2,x3,x4],x1>0 && x2>x3 && x2>0 && x3>0 &&
x4>x2^2+x2*x3},{x1,x2,x3,x4}]
are different in mathematica 8.

Is there any difference between x2>x3>0 and x2>x3 && x2>0 && x3>0?
Why the form of constraint affects the result of NMinimize?

Thanks,

paperkite



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