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Numerically find Zeros in Complex functions

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

    [tex]f(E)=\sum_{2,\omega}\frac{h(1,2,\omega)}{E-E_{2}-\hbar\omega+i\delta}[/tex]

    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
    No-one?
    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

    HallsofIvy

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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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