mob | R Documentation |
Moebius transformations
mob(M, x)
M %mob% x
M |
2-by-2 matrix of integers |
x |
vector of values to be transformed |
Returns a value with the same attributes as x
. Elementwise, if
M=\left(\begin{array}{cc}a&b\\c&d\end{array}\right)
then mob(M,x)
is \frac{ax+b}{cx+d}
.
This function does not check for M
being having integer
elements, nor for the determinant being unity.
Robin K. S. Hankin
Wikipedia contributors, "Mobius transformation," Wikipedia, The Free Encyclopedia (accessed February 13, 2011).
unimodular
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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