computational complexity

, Volume 4, Issue 2, pp 107–132 | Cite as

Finding irreducible components of some real transcendental varieties

  • Marie-Françoise Roy
  • Nicolai Vorobjov


An algorithm is proposed for producing all components of the varieties defined by equations which involve polynomials and exponentials of polynomials, irreducible over real algebraic numbers. The running time of the algorithm is singly exponential in the number of variables and, with this number fixed, polynomial in all other parameters of the input.

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Copyright information

© Birkhäuser Verlag 1994

Authors and Affiliations

  • Marie-Françoise Roy
    • 1
  • Nicolai Vorobjov
    • 2
  1. 1.I.R.M.A.R.Université de Rennes-1Rennes CedexFrance
  2. 2.Departments of Mathematics and Computer ScienceThe Pennsylvania State UniversityUniversity ParkUSA

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