Thorough Introduction to Singular Value Decomposition Can you suggest a book that has a thorough introduction to Singular Value Decomposition?
 A: I find Numerical Linear Algebra by N. Trefreten and D.Bau an extremely well-written book. It not only introduces the Singluar value decomposition but explains applications and history. 
A: Strang's Linear Algebra book linked below is where I learned SVD and it wasn't so bad.  I'm sure it's a reasonable intro for one looking to go further.
http://www.amazon.com/Linear-Algebra-Applications-Gilbert-Strang/dp/0030105676/ref=sr_1_1?ie=UTF8&s=books&qid=1259356043&sr=8-1
A: This course at Stanford covers singular value decomposition in lectures 15-17. The notes are very good, and the lectures are online too. 
A: The wikipedia page on SVD is pretty good.
A: I gave a summary of the section on SVD found in Linear Algebra Done right here: Singular value decomposition over finite fields?.
I highly recommend the book. 
A: Parlett's "The Symmetric Eigenvalue Problem" (since computing the SVD is related to the task of computing the eigensystem of a symmetric positive semidefinite matrix) as well as Stewart's "Matrix Algorithms" were very helpful for me.
