Except for the banded matrices, twenty-one different types of test matrices may be generated for the symmetric eigenvalue routines. Table 8 shows the types available, along with the numbers used to refer to the matrix types. Except as noted, all matrices have 124#124 entries. The expression 281#281 means a real diagonal matrix 282#282 with 124#124 entries conjugated by a unitary (or real orthogonal) matrix 132#132. The eigenvalue distributions have the same meanings as in the nonsymmetric case (see Section 7.3.2).

For banded matrices, fifteen different types of test matrices may be generated. These fifteen test matrices are the same as the first fifteen test matrices in Table 8.