solving equation in complex vaariables

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R yan
R yan le 23 Juil 2011
How can I solve z(z-1)=1 using MATLAB. z is a complex variable. Is there any direct method? I did it separating the real part and imaginary part.

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Walter Roberson
Walter Roberson le 23 Juil 2011
Expand the expression:
z*(z-1)=1
z^2-z=1
z^2-z-1=0
This is a quadratic equation which can be solved by standard methods,
roots([1,-1,-1])
You will find that the solutions have no imaginary components.
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R yan
R yan le 23 Juil 2011
Thanks for your answer. But for any general equation in Z, does MATLAB has a direct solver?
Walter Roberson
Walter Roberson le 23 Juil 2011
No. There is no direct solver that is suitable for "any general equation" even in reals.
The Symbolic Toolbox is able to solve a fair variety of equations over complex numbers.
The only general solving routine outside of the Symbolic Toolbox that I have found that is able to handle complex numbers directly, is fgoalattain()

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