Solution of Systems of Polynomial Equations by Using Bernstein Expansion

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2000
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Smith, Andrew Paul
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A method for enclosing all solutions to a system of polynomial equations inside a given box is presented. This method relies on the expansion of a multivariate polynomial into Bernstein polynomials and is a domain-splitting approach. After a pruning step a collection of subboxes remain which undergo an existence test provided by Miranda's Theorem.

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ISO 690SMITH, Andrew Paul, Jürgen GARLOFF, 2000. Solution of Systems of Polynomial Equations by Using Bernstein Expansion
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@unpublished{Smith2000Solut-610,
  year={2000},
  title={Solution of Systems of Polynomial Equations by Using Bernstein Expansion},
  author={Smith, Andrew Paul and Garloff, Jürgen}
}
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