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Local Generic Position for Root Isolation of Zero-Dimensional Triangular Polynomial Systems

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Computer Algebra in Scientific Computing (CASC 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.

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Li, J., Cheng, JS., Tsigaridas, E.P. (2012). Local Generic Position for Root Isolation of Zero-Dimensional Triangular Polynomial Systems. In: Gerdt, V.P., Koepf, W., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2012. Lecture Notes in Computer Science, vol 7442. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32973-9_16

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  • DOI: https://doi.org/10.1007/978-3-642-32973-9_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32972-2

  • Online ISBN: 978-3-642-32973-9

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