A Descartes Algorithm for Polynomials with Bit-Stream Coefficients

  title={A Descartes Algorithm for Polynomials with Bit-Stream Coefficients},
  author={Arno Eigenwillig and Lutz Kettner and Werner Krandick and Kurt Mehlhorn and Susanne Schmitt and Nicola Wolpert},
The Descartes method is an algorithm for isolating the real r oots of square-free polynomials with real coefficients. We assume t hat coefficients are given as (potentially infinite) bit-streams. In other words , coefficients can be approximated to any desired accuracy, but are not known exactl y. We show that a variant of the Descartes algorithm can cope with bit-stream coefficients. To isolate the real roots of a square-free real polynomial q(x) = qnx + . . .+ q0 with root separation… CONTINUE READING
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