Computations with one and two real algebraic numbers

Details Computations with one and two real algebraic numbers Computations with one and two real algebraic numbers

2005-12-18

arxiv.org/abs/cs/0512072v1

Computer Science

Symbolic Computation

Scientific paper

We present algorithmic and complexity results concerning computations with one and two real algebraic numbers, as well as real solving of univariate polynomials and bivariate polynomial systems with integer coefficients using Sturm-Habicht sequences. Our main results, in the univariate case, concern the problems of real root isolation (Th. 19) and simultaneous inequalities (Cor.26) and in the bivariate, the problems of system real solving (Th.42), sign evaluation (Th. 37) and simultaneous inequalities (Cor. 43).

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