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Signs of Algebraic Numbers

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Computers and Mathematics

Abstract

This payer presents an algorithm for the computation of the sign of the value of a polynomial at an algebraic number.

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References

  1. Brown, W.S. On Euclid’s Algorithm and the Computation of Polynomial Greatest Divisors,JACM ,18, pp.478–504 (1971).

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  2. Gantmacher, F.R.Applications of the Theory of Matrices ,Interscience, New York (1959).

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  3. Sakkalis, T. The Euclidean Algorithm and the Degree of the Gauss Map, IBM TR, RC-13303, (1987).

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  4. Seidenberg, A. A new decision method for elementary algebra,Annals of Math. 60, (1954), pp.365–374.

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© 1989 Springer-Verlag New York Inc.

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Sakkalis, T. (1989). Signs of Algebraic Numbers. In: Kaltofen, E., Watt, S.M. (eds) Computers and Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9647-5_16

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  • DOI: https://doi.org/10.1007/978-1-4613-9647-5_16

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97019-6

  • Online ISBN: 978-1-4613-9647-5

  • eBook Packages: Springer Book Archive

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