Solving Polynomial Systems Using a Branch and Prune Approach

@inproceedings{Hentenryck1997SolvingPS,
  title={Solving Polynomial Systems Using a Branch and Prune Approach},
  author={Pascal Van Hentenryck and David McAllester and Deepak Kapur},
  year={1997}
}
This paper presents Newton, a branch and prune algorithm used to find all isolated solutions of a system of polynomial constraints. Newton can be characterized as a global search method which uses intervals for numerical correctness and for pruning the search space early. The pruning in Newton consists of enforcing at each node of the search tree a unique local consistency condition, called box-consistency, which approximates the notion of arc-consistency well known in artificial intelligence… CONTINUE READING
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