Tests Performed on the Generalized Symmetric Eigenvalue Drivers

Finding the eigenvalues and eigenvectors of symmetric matrices 16#16 and 97#97, where 97#97 is also positive definite, follows the same stages as the symmetric eigenvalue problem except that the problem is first reduced from generalized to standard form using xSYGST, xSPGST or xSBGST.

The test ratio

486#486

is calculated for

1. calling SSYGV with ITYPE=1 and UPLO='U'
2. calling SSPGV with ITYPE=1 and UPLO='U'
3. calling SSBGV with ITYPE=1 and UPLO='U'
4. calling SSYGV with ITYPE=1 and UPLO='L'
5. calling SSPGV with ITYPE=1 and UPLO='L'
6. calling SSBGV with ITYPE=1 and UPLO='L'
7. calling SSYGV with ITYPE=2 and UPLO='U'
8. calling SSPGV with ITYPE=2 and UPLO='U'
9. calling SSYGV with ITYPE=2 and UPLO='L'
10. calling SSPGV with ITYPE=2 and UPLO='L'
11. calling SSYGV with ITYPE=3 and UPLO='U'
12. calling SSPGV with ITYPE=3 and UPLO='U'
13. calling SSYGV with ITYPE=3 and UPLO='L'
14. calling SSPGV with ITYPE=3 and UPLO='L'

For the divide and conquer drivers: SSYGVD, SSPGVD and SSBGVD, all above 14 tests are also applied, where SSYGV, SSPGV and SSBGV are replaced by SSYGVD, SSPGVD and SSBGVD, respectively.

For the selected eigenvalue/vector drivers: SSYGVX, SSPGVX and SSBGVX, these 14 tests are applied in association with the parameter RANGE = 'A', 'N' and 'I', respectively, where SSYGV, SSPGV and SSBGV are replaced by SSYGVX, SSPGVX and SSBGVX, respectively.