Moebius transformations
mob(M, x) M %mob% x
2-by-2 matrix of integers
vector of values to be transformed
Returns a value with the same attributes as x. Elementwise, if
x
$$M=\left(\begin{array}{cc}a&b\\c&d\end{array}\right)$$
then mob(M,x) is \(\frac{ax+b}{cx+d}\).
mob(M,x)
Wikipedia contributors, "Mobius transformation," Wikipedia, The Free Encyclopedia (accessed February 13, 2011).
unimodular
# NOT RUN { M <- matrix(c(11,6,9,5),2,2) x <- seq(from=1+1i,to=10-2i,len=6) M %mob% x plot(mob(M,x)) # }
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