Recent content by grawil

Does anyone have any suggestions on a functional, algebraic form to parameterize the edge of the shapes shown in the image sequence below? It begins as a circle but deforms and flattens along the edges perpendicular to the axis of symmetry. I have a crude model of it with the upper and lower...

After a bit more thought... the above is only true if T is orthogonal/unitary. I still think it is possible to relate the singular values of A and TA for the slightly more general case where T is full-rank (i.e. non-singular) but I'm not entirely sure how. Obviously, if T is not of full rank...

I'm struggling to grasp what should be a trivial property of singular value decomposition. Say that I have a linear transformation T that is non-singular (i.e. T^{-1} exists) and relates matrices A and B: B = T A or A = T^{-1} B What I would like to know is how the singular values...