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Numerical methods to find parameter set with N intersections of 2 implicit functions

  1. Sep 8, 2010 #1
    Sorry for the wordiness of the thread title.

    Basically I'm wondering, if you have two implicit functions, F(x,y)=0 and G(x,y)=0 (typically rational functions with numerator and denominator very high degree polynomials), both dependent upon the same K (in my case > 34) dimensional set of parameters - a for i = 1 to K; are there any established numerical techniques to speed up a search of the parameter space to find a set of parameters for which the 2 curves in the x-y plane (defined by the functions F and G) have a given number of intersections, say N?

    Cheers!
     
  2. jcsd
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