A Probabilistic Symbolic Algorithm to Find the Minimum of a Polynomial Function on a Basic Closed Semialgebraic Set

نویسندگان

  • Gabriela Jeronimo
  • Daniel Perrucci
چکیده

We consider the problem of computing the minimum of a polynomial function g on a basic closed semialgebraic set E ⊂ R. We present a probabilistic symbolic algorithm to find a finite set of sample points of the subset E of E where the minimum of g is attained, provided that E is non-empty and has at least one compact connected component.

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عنوان ژورنال:
  • Discrete & Computational Geometry

دوره 52  شماره 

صفحات  -

تاریخ انتشار 2014