elliptic (version 1.5-0)

mob: Moebius transformations

Description

Moebius transformations

Usage

mob(M, x)
M %mob% x

Value

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 \(\frac{ax+b}{cx+d}\).

Arguments

M

2-by-2 matrix of integers

x

vector of values to be transformed

Author

Robin K. S. Hankin

References

Wikipedia contributors, "Mobius transformation," Wikipedia, The Free Encyclopedia (accessed February 13, 2011).

See Also

unimodular

Examples

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))