Change of order for bivariate triangular sets

  • Authors:
  • Cyril Pascal;Éric Schost

  • Affiliations:
  • École polytechnique, Palaiseau, France;École polytechnique, Palaiseau, France

  • Venue:
  • Proceedings of the 2006 international symposium on Symbolic and algebraic computation
  • Year:
  • 2006

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Abstract

Changing the order of variables in bivariate triangular sets has applications in Trager's factorization algorithm, or in rational function integration. We discuss the complexity of this question, using baby steps / giant steps techniques and trace formulas, obtaining subquadratic estimates.