Computations with one and two real algebraic numbers

نویسندگان

  • Ioannis Z. Emiris
  • Elias P. Tsigaridas
چکیده

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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عنوان ژورنال:
  • CoRR

دوره abs/cs/0512072  شماره 

صفحات  -

تاریخ انتشار 2005