Twenty-one different types of test matrices may be generated for
the nonsymmetric eigenvalue routines.
Table 5 shows the types available,
along with the numbers used to refer to the matrix types.
Except as noted, all matrices have 124#124 entries.

Matrix types identified as ``Zero'', ``Identity'', ``Diagonal'', and ``Random entries'' should be self-explanatory. The other matrix types have the following meanings:

**131#131:**- Matrix with ones on the diagonal and the first
subdiagonal, and zeros elsewhere
**127#127:**- Schur-form matrix 85#85 with 124#124 entries conjugated
by a unitary (or real orthogonal) matrix 132#132
**128#128:**- Schur-form matrix 85#85 with 124#124 entries conjugated
by an ill-conditioned matrix 98#98

For eigenvalue distributions other than ``Other'', the eigenvalues lie between 9#9 (the machine precision) and 133#133 in absolute value. The eigenvalue distributions have the following meanings:

**Arithmetic:**- Difference between adjacent eigenvalues is a constant
**Geometric:**- Ratio of adjacent eigenvalues is a constant
**Clustered:**- One eigenvalue is 133#133 and the rest are 9#9 in absolute value
**Random:**- Eigenvalues are logarithmically distributed