elliptic: mob – R documentation

Become an expert in R — Interactive courses, Cheat Sheets, certificates and more!

mob

Moebius transformations

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

omitted: see PDF

then mob(M,x) is (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).

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))

Weierstrass and Jacobi Elliptic Functions

v1.4-0

GPL-2

Authors

Robin K. S. Hankin [aut, cre] (<https://orcid.org/0000-0001-5982-0415>)

Initial release