On the sign of a real algebraic number

  • Authors:
  • Siegfried Rump

  • Affiliations:
  • -

  • Venue:
  • SYMSAC '76 Proceedings of the third ACM symposium on Symbolic and algebraic computation
  • Year:
  • 1976

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Abstract

In an ordered algebraic extension field of the rationales algorithms for sign determinations are studied. Two new algorithms are analyzed in detail and shown to be asymptotically and in practice faster than previous algorithms.