Is there a method or algorithm that can be used to find the Fixed points of a Möbius transformation on $\mathbb{C}$?
2026-03-26 19:37:20.1774553840
Finding the Fixed points of a Möbius Transformation
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For $$ f(z)=\frac{az+b}{cz+d} $$ the fixed points are the solutions of $$ \frac{az+b}{cz+d}=z $$ i.e. $$ cz^2+(d-a)z-b=0 $$ a quadratic in $z$