Sturm-Habicht Sequence

  title={Sturm-Habicht Sequence},
  author={L. Gonzalez and Henri Lombardi and Tom{\'a}s Recio and Marie-Françoise Roy},
Introduction Formal computations with inequalities is a subject of general interest in computer algebra. In particular it is fiindamental in the parallelisation of basic algorithms and quantifier elimination for real closed fields ([BKR] , NW). In $1 we give a generalisation of Sturm theorem essentially due to Sylvester which is the key for formal computations with inequalities. Our result is an improvment of previously known results (see [BKR]) since no hypotheses have to be made on the… CONTINUE READING
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