Sixteen different types of test matrices may be generated for
the singular value decomposition routines.
Table 11 shows the types available,
along with the numbers used to refer to the matrix types.
Except as noted, all matrix types other than the random bidiagonal
matrices have 124#124 entries.

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

**Identity:**- A
490#490-by-
490#490
identity matrix with zero rows or columns added to the bottom
or right to make it 487#487-by-118#118
**489#489:**- Real 487#487-by-118#118 diagonal matrix 282#282 with
124#124 entries multiplied by unitary (or real orthogonal) matrices
on the left and right
**Random bidiagonal:**- Upper bidiagonal matrix whose entries are randomly chosen
from a logarithmic distribution on
491#491

The singular value distributions are analogous to the eigenvalue distributions in the nonsymmetric eigenvalue problem (see Section 6.2.1).