, Volume 4, Issue 2, pp 107-132

Finding irreducible components of some real transcendental varieties

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Abstract

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.