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Method for solving complex equations f(z)=0

  1. Dec 10, 2011 #1
    Hey! Does anyone know any good method for solving complex equations of one complex variable? I found over the internet that I could use Newton's method, and I tried it for a common function, and it worked. Anyway, I'm not very pleased of Newton's method because of the use of the first aproximation value. Also it does not return all the solutions. I need it for calculating some resonances energies for my Bachelor Thesis in Quantum Mechanics.
    I also tried methods for real functions (in order to integrate the Schrodinger Equations and obtaining the eigenvalues), like bisection method or Ridder's Method. They worked just fine.

    Thank you.
  2. jcsd
  3. Dec 10, 2011 #2


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    Science Advisor

    For most equations you need a guess as an approximate solution or a bracket. Which method works best tends to be problem specific.
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