The driver routines for the nonsymmetric eigenvalue problem are

**xGEEV**- eigenvalue/eigenvector driver,
**xGEEVX**- expert version of xGEEV (includes condition estimation),
**xGEES**- Schur form driver, and
**xGEESX**- expert version of xGEES (includes condition estimation).

For these subroutines, some tests are done by generating random matrices of a dimension and type chosen by the user, and computing error bounds similar to those used for the nonsymmetric eigenvalue computational routines. Other tests use a file of precomputed matrices and condition numbers, identical to that used for testing the nonsymmetric eigenvalue/vector condition estimation routines.

The parameters that can be varied in the random matrix tests are:

- the order 13#13 of the matrix 16#16
- the type of test matrix 16#16
- five numerical parameters: NB (the block size), NBMIN (minimum block size), NX (minimum dimension for blocking), NS (number of shifts in xHSEQR), and NBCOL (minimum column dimension for blocking).

Susan Blackford 2001-08-13