Computing a Perturbation Bound for Preserving the Number of Common Zeros of a Polynomial System
نویسنده
چکیده
We propose a method for computing a perturbation bound that preserves the number of common zeros in (C×)n of a polynomial system (f1, . . . , fn), where C× = C \ {0} and fj ∈ C[x1, . . . , xn], by using Stetter’s results on the nearest polynomial with a given zero, Bernshtein’s theorem, and minimization techniques for rational functions such as sum of squares (SOS) relaxations.
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