Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Solving a complex equation involving conjugates with Mathematica

  1. Apr 19, 2010 #1
    How can one obtain (using Mathematica) all the solutions of an equation involving conjugates like for example [tex]z \bar{z}=1[/tex]. Although this equation is very simple, it seems that Mathematica is not able to handle it. I obtain:
    Code (Text):
    Solve[z Conjugate[z] == 1, z]
    InverseFunction::ifun: Inverse functions are being used. Values may be lost for multivalued inverses. >>
    Solve::tdep: The equations appear to involve the variables to be solved for in an essentially non-algebraic way. >>
    Solve[z z^\[Conjugate]\[LongEqual]1,z]
    Of course I'm not interested in this particularly simple equation, but of an equation involving many terms, which can't be, unfortunately, done by hand in a reasonable amount of time.
    Any ideas?
  2. jcsd
  3. Apr 22, 2010 #2


    Staff: Mentor

    When Solve fails, especially with the non-algebraic error, I usually use Reduce.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Solving complex equation Date
Mathematica Solve Perturbation problem with mathematica Dec 7, 2017
Matlab Solving equation with integration using MATLAB Aug 4, 2017
Solving system of equations Mathematica Apr 3, 2017
Mathematica Numerically solve recurrence relation Mar 12, 2017
Mathematica: Solving Linear Complex Systems Nov 7, 2012