# How to find the region of system of nonlinear inequalities?

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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How would a numerical method describe the entire region? – copper.hat Aug 31 '12 at 16:55
@ copper.hat: at least a numerical method can find the vertex points of region – kotoll Aug 31 '12 at 16:56
$x^2+y^2 = 1$ has an infinite number of vertices. Unless you know more about the inequalities, I think you are asking for something impossible. – copper.hat Aug 31 '12 at 16:58