Ellipse Fitting to 2D points, part 1: R

The first of 3 posts presenting algorithms for the ellipsoid method of Khachiyan for 2D point clouds. This version in R will return: 1) the ellipse radius in x, 2) the ellipse radius in y, 3) the centre in x, 4) the centre in y, and 5) orientation of the ellipse, and coordinates of the ellipse