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Can someone tell me a numerical method to find the feasible region of system of nonlinear inequalities? I found a method based on Newton Method, but that only finds one point in feasible region. I wan to find the whole region.

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    $x^2+y^2 = 1$ has an infinite number of vertices. Unless you know more about the inequalities, I think you are asking for something impossible.2012-08-31

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