Abstract
We propose an algorithm to decide if a real algebraic set defined by polynomials with integer coefficients has a non empty intersection with a given ball by the index formula of Kronecker. We approximate the integral by a Riemann sum and we give an estimate of the time of computation which is needed. The method is well adapted to the use of parallel time computations.
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© 1992 Springer-Verlag
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Françoise, JP., Ronga, F. (1992). The decidability of real algebraic sets by the index formula. In: Coste, M., Mahé, L., Roy, MF. (eds) Real Algebraic Geometry. Lecture Notes in Mathematics, vol 1524. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084623
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DOI: https://doi.org/10.1007/BFb0084623
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