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Efficient Method to Find A Root and/or Minima of A Multivariate Polynomial With Constraints on the Variables

Mathematics Asked on January 1, 2022

I have a polynomial $P(x,y,z,…)$ which has integer coefficients and real roots. I want an efficient method that is guaranteed to find a root (I only need one), and if possible, one that finds a local minima, with each of the variables $in [0,1]$.

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