Elias' Article

Local Generic Position for Root Isolation of Zero-dimensional Triangular Polynomial Systems.
Jin-San Cheng, Jia Li, and Elias P. Tsigaridas.
In Proc. Computer Algebra in Scientific Computing (CASC), pp. 186–197, LNCS 7442, Springer, 2012.

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Abstract:

We present an algorithm to isolate the real roots, and compute their multiplicities, of a zero-dimensional triangular polynomial system, based on the local generic position method. We also presentexperiments that demonstrate the efficiency of the method.

@InProceedings{clt-casc-2012,
  author =       {Jin-San Cheng and Jia Li and Elias~P. Tsigaridas},
  title =        {Local Generic Position for Root Isolation of
                  Zero-dimensional Triangular Polynomial Systems},
  booktitle =    {Proc. Computer Algebra in Scientific Computing
                  (CASC)},
  pages =        {186--197},
  year =         2012,
  editor =       {W. Koepf and E.Vorozhtsov},
  volume =       7442,
  series =       {LNCS},
  publisher =    {Springer},
  abstract =     "We present an algorithm to isolate the real roots,
                  and compute their multiplicities, of a
                  zero-dimensional triangular polynomial system, based
                  on the local generic position method.  We also
                  presentexperiments that demonstrate the efficiency
                  of the method.",
}

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