Elias' Article

Computing a rational in between.
Ioannis Z. Emiris, Bernard Mourrain, and Elias P. Tsigaridas.
In Proc. 33th ACM Int'l Symp. on Symbolic & Algebraic Comp. (ISSAC), Linz, Austrian, 2008. (Extended abstract and Poster presentation. Also appeared in Communications in Computer Algebra (CCA)

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Abstract:

Given two (distinct) real algebraic numbers, their defining polynomials, and their order, we compute a rational number between them as a rational function of the coefficients of the polynomials defining these two numbers.

@InProceedings{emt-issac-2008,
  author =       {Ioannis Z. Emiris and Bernard Mourrain and Elias
                  P. Tsigaridas},
  title =        {Computing a rational in between},
  booktitle =    ISSAC_2008,
  year =         2008,
  address =      {Linz, Austrian},
  note =         "(Extended abstract and Poster presentation. Also
                  appeared in Communications in Computer Algebra
                  (CCA)",
  abstract =     "Given two (distinct) real algebraic numbers, their
                  defining polynomials, and their order, we compute a
                  rational number between them as a rational function
                  of the coefficients of the polynomials defining
                  these two numbers.",
}

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