For this routine two examples are presented, both of which involve computing the singular value decomposition of a matrix 
, where
in the first example and
in the second.  
 must first be reduced to tridiagonal form by 
zgebrd.  The program then calls 
zungbr twice to form 
 and 
, and passes these matrices to 
zbdsqr, which computes the singular value decomposition of 
.