The mini tutorial on the SVD provides a quick introduction to the definition and properties of the SVD, as well as a listing of some applications in which the SVD is used.
For further information on the Singular Value Decomposition, you
may wish to consult any of the following books:
SVD and Signal Processing: Algorithms, Analysis and Applications, edited by Ed. F. Deprettere, Elsevier Science Publishers, North Holland, 1988. SVD and Signal Processing II: Algorithms, Analysis and Applications, edited by R. Vaccaro, Elsevier Science Publishers, North Holland, 1991. Computer Methods for Mathematical Computations, by George E. Forsythe, Michael A. Malcolm, and Cleve B. Moler, Prentice Hall, Englewood Cliffs, New Jersey, 1977, pg 201-235. Matrix Computations, by Gene H. Golub and Charles F. van Loan, John Hopkins University Press, Baltimore, Maryland, 1983, pg 16-21, 293