A very nice formal discussion of SVD

[Subbarao Kambhampati <rao@asu.edu>]

A very nice mathematically oriented discussion of SVD can be found here 
(see lectures 4 and 5).
Lecture 5 discusses the differences between SVD and Eigen decompositions.

http://web.comlab.ox.ac.uk/oucl/work/nick.trefethen/text.html


Rao