An expert driver is provided to compute all the eigenvalues and (optionally) the eigenvectors of the following types of problems:
where A and B are symmetric or Hermitian and B is positive definite.
For all these problems the eigenvalues 
are
real.
When A and B are symmetric, the matrices Z
of computed eigenvectors satisfy
(problem types 1 and 3) or 
(problem type 2), where 
is a diagonal matrix with the eigenvalues
on the diagonal. Z also satisfies
(problem types 1 and 2) or 
(problem type 3).
When A and B are Hermitian, the matrices Z
of computed eigenvectors satisfy
(problem types 1 and 3) or 
(problem type 2), where is a diagonal matrix with the eigenvalues
on the diagonal. Z also satisfies
(problem types 1 and 2) or 
(problem type 3).
The routine is listed in table 3.5.
Table 3.5: Driver routine for the generalized symmetric definite eigenvalue problems