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Numerically find Zeros in Complex functions

  1. Nov 13, 2009 #1
    I have this non-trivial complex function based on.


    So is a sum of this denominator that rises many poles and zeros.
    I want to find all the zeros (computationally, analitically, I don't mind) a in a fairly efficient way (that must be done like thousands times, so I cant make a night for one iteration)

    If you have any ideas or suggestions I'm all ears
  2. jcsd
  3. Nov 19, 2009 #2
    You can give me also some references or generic advices, you don't know or don't have time to give the answer...
  4. Nov 19, 2009 #3


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    Obviously the zeros of this function depend strongly on the zeros of [itex]h(1,2,\omega)[/itex] and you have given no information about that function.
  5. Nov 19, 2009 #4
    [itex]h(1,2,\omega)[/itex] is not a function but are matrix elements of the discreet parameters 1,2 (particles) and omega (phonons).
    Really I think is not the issue here, there is always ten (usually many more) of nonzero [itex]h(1,2,\omega)[/itex] in wich the problem remains open. I cannot hope that h is trivially zero almost everywhere and comes to save the day! ;)

    I'm sorry for haven't been clear
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