
LAPACK Eigenvalue Tester

This tester consists of several input files:

 dbak.in
 dbal.in
 dec.in
 ded.in
 dgbak.in
 dgbal.in
 dgg.in
 dsb.in
 dsg.in
 glm.in
 gqr.in
 gsv.in
 lse.in
 nep.in
 sep.in
 svd.in

To run the test:

% foreach file (*.in)
foreach? java Dchkee < $file
foreach? end


The results should look something like this:

 .. test output of DGEBAK .. 
 value of largest test error             = 1.6009221311475408 
 example number where info is not zero   = 0 
 example number having largest error     = 7 
 number of examples where info is not 0  = 0 
 total number of examples tested         = 7 


 End of tests
 Total time used = 0.46  seconds

 .. test output of DGEBAL .. 
 value of largest test error             = 1.7179869184E-5 
 example number where info is not zero   = 0 
 example number where ILO or IHI wrong   = 0 
 example number having largest error     = 13 
 number of examples where info is not 0  = 0 
 total number of examples tested         = 13 


 End of tests
 Total time used = 0.534  seconds

 Tests of the Nonsymmetric eigenproblem condition estimation routines
 DLALN2, SLASY2, SLANV2, SLAEXC, DTRSYL, DTREXC, STRSNA, STRSEN, DLAQTR

 Relative machine precision (EPS) = 2.220446049250313E-16 
 Safe minimum (SFMIN)             = 2.2250738585072014E-308 

 Routines pass computational tests if test ratio is less than20.0 



 All tests for DEC  routines passed the threshold (501251  tests run)


 End of tests
 Total time used = 419.654  seconds


 Tests of the Nonsymmetric Eigenvalue Problem Driver
    DGEEV (eigenvalues and eigevectors)

 LAPACK VERSION 2.0, released September 30, 1994 

 The following parameter values will be used:
M:     0 1 2 3 5 10 
N:     0 1 2 3 5 10 
    NB:    3 
           NULL  
    NBMIN: 3 
           NULL  
    NX:    1 
           NULL  
    NS:    4 
           NULL  
    MAXB:  1 
           NULL  

 Relative machine underflow  is taken to be2.2250738585072014E-308 
 Relative machine overflow   is taken to be1.7976931348623157E308 
 Relative machine precision  is taken to be1.1102230246251565E-16 

 Routines pass computational tests if test ratio is less than20.0 


 All tests for  DEV  passed the threshold ( 924  tests run) 

 -----------------------------------------------------------------------

 Tests of the Nonsymmetric Eigenvalue Problem Driver
    DGEES (Schur form)

 LAPACK VERSION 2.0, released September 30, 1994 

 The following parameter values will be used:
M:     0 1 2 3 5 10 
N:     0 1 2 3 5 10 
    NB:    3 
           NULL  
    NBMIN: 3 
           NULL  
    NX:    1 
           NULL  
    NS:    4 
           NULL  
    MAXB:  1 
           NULL  

 Relative machine underflow  is taken to be2.2250738585072014E-308 
 Relative machine overflow   is taken to be1.7976931348623157E308 
 Relative machine precision  is taken to be1.1102230246251565E-16 

 Routines pass computational tests if test ratio is less than20.0 


 All tests for  DES  passed the threshold ( 3276  tests run) 

 -----------------------------------------------------------------------

 Tests of the Nonsymmetric Eigenvalue Problem Expert Driver
    DGEEVX (eigenvalues, eigenvectors and condition numbers)

 LAPACK VERSION 2.0, released September 30, 1994 

 The following parameter values will be used:
M:     0 1 2 3 5 10 
N:     0 1 2 3 5 10 
    NB:    3 
           NULL  
    NBMIN: 3 
           NULL  
    NX:    1 
           NULL  
    NS:    4 
           NULL  
    MAXB:  1 
           NULL  

 Relative machine underflow  is taken to be2.2250738585072014E-308 
 Relative machine overflow   is taken to be1.7976931348623157E308 
 Relative machine precision  is taken to be1.1102230246251565E-16 

 Routines pass computational tests if test ratio is less than20.0 


 All tests for  DVX  passed the threshold ( 5274  tests run) 

 -----------------------------------------------------------------------

 Tests of the Nonsymmetric Eigenvalue Problem Expert Driver
    DGEESX (Schur form and condition numbers)

 LAPACK VERSION 2.0, released September 30, 1994 

 The following parameter values will be used:
M:     0 1 2 3 5 10 
N:     0 1 2 3 5 10 
    NB:    3 
           NULL  
    NBMIN: 3 
           NULL  
    NX:    1 
           NULL  
    NS:    4 
           NULL  
    MAXB:  1 
           NULL  

 Relative machine underflow  is taken to be2.2250738585072014E-308 
 Relative machine overflow   is taken to be1.7976931348623157E308 
 Relative machine precision  is taken to be1.1102230246251565E-16 

 Routines pass computational tests if test ratio is less than20.0 


 All tests for  DSX  passed the threshold ( 3508  tests run) 

 -----------------------------------------------------------------------


 End of tests
 Total time used = 225.022  seconds

 .. test output of DGGBAK .. 
 value of largest test error                  =5.24288E-5 
 example number where DGGBAL info is not 0    =0 
 example number where DGGBAK(L) info is not 0 =0 
 example number where DGGBAK(R) info is not 0 =0 
 example number having largest error          =4 
 number of examples where info is not 0       =0 
 total number of examples tested              =8 


 End of tests
 Total time used = 0.73  seconds

 .. test output of DGGBAL .. 
 value of largest test error            = 2.0E-6 
 example number where info is not zero  = 0 
 example number where ILO or IHI wrong  = 0 
 example number having largest error    = 8 
 number of examples where info is not 0 = 0 
 total number of examples tested        = 8 


 End of tests
 Total time used = 0.623  seconds


 Tests of the Generalized Nonsymmetric Eigenvalue Problem routines

 LAPACK VERSION 2.0, released September 30, 1994 

 The following parameter values will be used:
M:     0 1 2 3 5 10 16 
N:     0 1 2 3 5 10 16 
NB:    1 1 2 2 
NBMIN: 100 100 2 2 
NS:    2 4 2 4 
MAXB:  100 100 2 2 
NBCOL: 100 100 2 2 

 Relative machine underflow  is taken to be2.2250738585072014E-308 
 Relative machine overflow   is taken to be1.7976931348623157E308 
 Relative machine precision  is taken to be1.1102230246251565E-16 

 Routines pass computational tests if test ratio is less than20.0 



 DGG :  NB =1 , NBMIN =100 , NS =2 , MAXB =100 , NBCOL =100 

 All tests for  DGG  passed the threshold ( 2184  tests run) 

 All tests for DGG  drivers  passed the threshold (1274  tests run)


 DGG :  NB =1 , NBMIN =100 , NS =4 , MAXB =100 , NBCOL =100 

 All tests for  DGG  passed the threshold ( 2184  tests run) 

 All tests for DGG  drivers  passed the threshold (1274  tests run)


 DGG :  NB =2 , NBMIN =2 , NS =2 , MAXB =2 , NBCOL =2 

 All tests for  DGG  passed the threshold ( 2184  tests run) 

 All tests for DGG  drivers  passed the threshold (1274  tests run)


 DGG :  NB =2 , NBMIN =2 , NS =4 , MAXB =2 , NBCOL =2 

 All tests for  DGG  passed the threshold ( 2184  tests run) 

 All tests for DGG  drivers  passed the threshold (1274  tests run)


 End of tests
 Total time used = 213.259  seconds

 Tests of DSBTRD
 (reduction of a symmetric band matrix to tridiagonal form)

 LAPACK VERSION 2.0, released September 30, 1994 

 The following parameter values will be used:
M:     5 20 
N:     5 20 
K:     0 1 2 5 16 

 Relative machine underflow  is taken to be2.2250738585072014E-308 
 Relative machine overflow   is taken to be1.7976931348623157E308 
 Relative machine precision  is taken to be1.1102230246251565E-16 

 Routines pass computational tests if test ratio is less than20.0 


 All tests for  DSB  passed the threshold ( 540  tests run) 


 End of tests
 Total time used = 12.519  seconds

 Tests of the Symmetric Eigenvalue Problem routines

 LAPACK VERSION 2.0, released September 30, 1994 

 The following parameter values will be used:
M:     0 1 2 3 5 10 16 
N:     0 1 2 3 5 10 16 
NB:    1 3 20 
NBMIN: 2 2 2 
NX:    1 1 1 

 Relative machine underflow  is taken to be2.2250738585072014E-308 
 Relative machine overflow   is taken to be1.7976931348623157E308 
 Relative machine precision  is taken to be1.1102230246251565E-16 

 Routines pass computational tests if test ratio is less than20.0 



 DSG :  NB =1 , NBMIN =2 , NX =1 

 All tests for  DSG  passed the threshold ( 2058  tests run) 


 DSG :  NB =3 , NBMIN =2 , NX =1 

 All tests for  DSG  passed the threshold ( 2058  tests run) 


 DSG :  NB =20 , NBMIN =2 , NX =1 

 All tests for  DSG  passed the threshold ( 2058  tests run) 


 End of tests
 Total time used = 174.444  seconds


 Tests of the Generalized Linear Regression Model routines

 LAPACK VERSION 2.0, released September 30, 1994 

 The following parameter values will be used:
M:     0 5 8 15 20 40 
P:     9 0 15 12 15 30 
N:     5 5 10 25 30 50 

 Relative machine underflow  is taken to be2.2250738585072014E-308 
 Relative machine overflow   is taken to be1.7976931348623157E308 
 Relative machine precision  is taken to be1.1102230246251565E-16 

 Routines pass computational tests if test ratio is less than20.0 


 All tests for GLM  routines passed the threshold (48  tests run)


 End of tests
 Total time used = 24.324  seconds


 Tests of the Generalized QR and RQ routines

 LAPACK VERSION 2.0, released September 30, 1994 

 The following parameter values will be used:
M:     0 3 10 
P:     0 5 20 
N:     0 3 30 

 Relative machine underflow  is taken to be2.2250738585072014E-308 
 Relative machine overflow   is taken to be1.7976931348623157E308 
 Relative machine precision  is taken to be1.1102230246251565E-16 

 Routines pass computational tests if test ratio is less than20.0 


 All tests for GQR  routines passed the threshold (1728  tests run)


 End of tests
 Total time used = 50.159  seconds


 Tests of the Generalized Singular Value Decomposition routines

 LAPACK VERSION 2.0, released September 30, 1994 

 The following parameter values will be used:
M:     0 5 9 10 20 12 12 40 
P:     4 0 12 14 10 10 20 15 
N:     3 10 15 12 8 20 8 20 

 Relative machine underflow  is taken to be2.2250738585072014E-308 
 Relative machine overflow   is taken to be1.7976931348623157E308 
 Relative machine precision  is taken to be1.1102230246251565E-16 

 Routines pass computational tests if test ratio is less than20.0 


 All tests for GSV  routines passed the threshold (320  tests run)


 End of tests
 Total time used = 28.696  seconds


 Tests of the Linear Least Squares routines

 LAPACK VERSION 2.0, released September 30, 1994 

 The following parameter values will be used:
M:     6 0 5 8 10 30 
P:     0 5 5 5 8 20 
N:     5 5 6 8 12 45 

 Relative machine underflow  is taken to be2.2250738585072014E-308 
 Relative machine overflow   is taken to be1.7976931348623157E308 
 Relative machine precision  is taken to be1.1102230246251565E-16 

 Routines pass computational tests if test ratio is less than20.0 


 All tests for LSE  routines passed the threshold (96  tests run)


 End of tests
 Total time used = 11.678  seconds

 Tests of the Nonsymmetric Eigenvalue Problem routines

 LAPACK VERSION 2.0, released September 30, 1994 

 The following parameter values will be used:
M:     0 1 2 3 5 10 16 
N:     0 1 2 3 5 10 16 
NB:    1 3 3 3 20 
NBMIN: 2 2 2 2 2 
NX:    1 0 5 9 1 
NS:    2 4 2 4 6 
MAXB:  20 20 6 10 10 

 Relative machine underflow  is taken to be2.2250738585072014E-308 
 Relative machine overflow   is taken to be1.7976931348623157E308 
 Relative machine precision  is taken to be1.1102230246251565E-16 

 Routines pass computational tests if test ratio is less than20.0 



 NEP :  NB =1 , NBMIN =2 , NX =1 , NS =2 , MAXB =20 

 All tests for  DHS  passed the threshold ( 2058  tests run) 


 NEP :  NB =3 , NBMIN =2 , NX =0 , NS =4 , MAXB =20 

 All tests for  DHS  passed the threshold ( 2058  tests run) 


 NEP :  NB =3 , NBMIN =2 , NX =5 , NS =2 , MAXB =6 

 All tests for  DHS  passed the threshold ( 2058  tests run) 


 NEP :  NB =3 , NBMIN =2 , NX =9 , NS =4 , MAXB =10 

 All tests for  DHS  passed the threshold ( 2058  tests run) 


 NEP :  NB =20 , NBMIN =2 , NX =1 , NS =6 , MAXB =10 

 All tests for  DHS  passed the threshold ( 2058  tests run) 


 End of tests
 Total time used = 126.501  seconds

 Tests of the Symmetric Eigenvalue Problem routines

 LAPACK VERSION 2.0, released September 30, 1994 

 The following parameter values will be used:
M:     0 1 2 3 5 10 16 
N:     0 1 2 3 5 10 16 
NB:    1 3 3 3 20 
NBMIN: 2 2 2 2 2 
NX:    1 0 5 9 1 

 Relative machine underflow  is taken to be2.2250738585072014E-308 
 Relative machine overflow   is taken to be1.7976931348623157E308 
 Relative machine precision  is taken to be1.1102230246251565E-16 

 Routines pass computational tests if test ratio is less than20.0 



 SEP :  NB =1 , NBMIN =2 , NX =1 

 All tests for  DST  passed the threshold ( 2730  tests run) 

 All tests for DST  drivers  passed the threshold (11025  tests run)


 SEP :  NB =3 , NBMIN =2 , NX =0 

 All tests for  DST  passed the threshold ( 2730  tests run) 

 All tests for DST  drivers  passed the threshold (11025  tests run)


 SEP :  NB =3 , NBMIN =2 , NX =5 

 All tests for  DST  passed the threshold ( 2730  tests run) 

 All tests for DST  drivers  passed the threshold (11025  tests run)


 SEP :  NB =3 , NBMIN =2 , NX =9 

 All tests for  DST  passed the threshold ( 2730  tests run) 

 All tests for DST  drivers  passed the threshold (11025  tests run)


 SEP :  NB =20 , NBMIN =2 , NX =1 

 All tests for  DST  passed the threshold ( 2730  tests run) 

 All tests for DST  drivers  passed the threshold (11025  tests run)


 End of tests
 Total time used = 533.1  seconds

 Tests of the Singular Value Decomposition routines

 LAPACK VERSION 2.0, released September 30, 1994 

 The following parameter values will be used:
M:     0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 10 10 16 16 
N:     0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 10 16 10 16 
NB:    1 3 3 3 20 
NBMIN: 2 2 2 2 2 
NX:    1 0 5 9 1 
NS:    2 0 2 2 2 

 Relative machine underflow  is taken to be2.2250738585072014E-308 
 Relative machine overflow   is taken to be1.7976931348623157E308 
 Relative machine precision  is taken to be1.1102230246251565E-16 

 Routines pass computational tests if test ratio is less than35.0 



 SVD :  NB =1 , NBMIN =2 , NX =1 , NRHS =2 

 All tests for DBD  routines passed the threshold (4300  tests run)

 All tests for DBD  drivers  passed the threshold (2800  tests run)


 SVD :  NB =3 , NBMIN =2 , NX =0 , NRHS =0 

 All tests for DBD  routines passed the threshold (4300  tests run)

 All tests for DBD  drivers  passed the threshold (2800  tests run)


 SVD :  NB =3 , NBMIN =2 , NX =5 , NRHS =2 

 All tests for DBD  routines passed the threshold (4300  tests run)

 All tests for DBD  drivers  passed the threshold (2800  tests run)


 SVD :  NB =3 , NBMIN =2 , NX =9 , NRHS =2 

 All tests for DBD  routines passed the threshold (4300  tests run)

 All tests for DBD  drivers  passed the threshold (2800  tests run)


 SVD :  NB =20 , NBMIN =2 , NX =1 , NRHS =2 

 All tests for DBD  routines passed the threshold (4300  tests run)

 All tests for DBD  drivers  passed the threshold (2800  tests run)


 End of tests
 Total time used = 512.234  seconds

