schkee.f

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      PROGRAM SCHKEE
*
*  -- LAPACK test routine (version 3.1.1) --
*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
*     February 2007
*
*  Purpose
*  =======
*
*  SCHKEE tests the REAL LAPACK subroutines for the matrix
*  eigenvalue problem.  The test paths in this version are
*
*  NEP (Nonsymmetric Eigenvalue Problem):
*      Test SGEHRD, SORGHR, SHSEQR, STREVC, SHSEIN, and SORMHR
*
*  SEP (Symmetric Eigenvalue Problem):
*      Test SSYTRD, SORGTR, SSTEQR, SSTERF, SSTEIN, SSTEDC,
*      and drivers SSYEV(X), SSBEV(X), SSPEV(X), SSTEV(X),
*                  SSYEVD,   SSBEVD,   SSPEVD,   SSTEVD
*
*  SVD (Singular Value Decomposition):
*      Test SGEBRD, SORGBR, SBDSQR, SBDSDC
*      and the drivers SGESVD, SGESDD
*
*  SEV (Nonsymmetric Eigenvalue/eigenvector Driver):
*      Test SGEEV
*
*  SES (Nonsymmetric Schur form Driver):
*      Test SGEES
*
*  SVX (Nonsymmetric Eigenvalue/eigenvector Expert Driver):
*      Test SGEEVX
*
*  SSX (Nonsymmetric Schur form Expert Driver):
*      Test SGEESX
*
*  SGG (Generalized Nonsymmetric Eigenvalue Problem):
*      Test SGGHRD, SGGBAL, SGGBAK, SHGEQZ, and STGEVC
*      and the driver routines SGEGS and SGEGV
*
*  SGS (Generalized Nonsymmetric Schur form Driver):
*      Test SGGES
*
*  SGV (Generalized Nonsymmetric Eigenvalue/eigenvector Driver):
*      Test SGGEV
*
*  SGX (Generalized Nonsymmetric Schur form Expert Driver):
*      Test SGGESX
*
*  SXV (Generalized Nonsymmetric Eigenvalue/eigenvector Expert Driver):
*      Test SGGEVX
*
*  SSG (Symmetric Generalized Eigenvalue Problem):
*      Test SSYGST, SSYGV, SSYGVD, SSYGVX, SSPGST, SSPGV, SSPGVD,
*      SSPGVX, SSBGST, SSBGV, SSBGVD, and SSBGVX
*
*  SSB (Symmetric Band Eigenvalue Problem):
*      Test SSBTRD
*
*  SBB (Band Singular Value Decomposition):
*      Test SGBBRD
*
*  SEC (Eigencondition estimation):
*      Test SLALN2, SLASY2, SLAEQU, SLAEXC, STRSYL, STREXC, STRSNA,
*      STRSEN, and SLAQTR
*
*  SBL (Balancing a general matrix)
*      Test SGEBAL
*
*  SBK (Back transformation on a balanced matrix)
*      Test SGEBAK
*
*  SGL (Balancing a matrix pair)
*      Test SGGBAL
*
*  SGK (Back transformation on a matrix pair)
*      Test SGGBAK
*
*  GLM (Generalized Linear Regression Model):
*      Tests SGGGLM
*
*  GQR (Generalized QR and RQ factorizations):
*      Tests SGGQRF and SGGRQF
*
*  GSV (Generalized Singular Value Decomposition):
*      Tests SGGSVD, SGGSVP, STGSJA, SLAGS2, SLAPLL, and SLAPMT
*
*  LSE (Constrained Linear Least Squares):
*      Tests SGGLSE
*
*  Each test path has a different set of inputs, but the data sets for
*  the driver routines xEV, xES, xVX, and xSX can be concatenated in a
*  single input file.  The first line of input should contain one of the
*  3-character path names in columns 1-3.  The number of remaining lines
*  depends on what is found on the first line.
*
*  The number of matrix types used in testing is often controllable from
*  the input file.  The number of matrix types for each path, and the
*  test routine that describes them, is as follows:
*
*  Path name(s)  Types    Test routine
*
*  SHS or NEP      21     SCHKHS
*  SST or SEP      21     SCHKST (routines)
*                  18     SDRVST (drivers)
*  SBD or SVD      16     SCHKBD (routines)
*                   5     SDRVBD (drivers)
*  SEV             21     SDRVEV
*  SES             21     SDRVES
*  SVX             21     SDRVVX
*  SSX             21     SDRVSX
*  SGG             26     SCHKGG (routines)
*                  26     SDRVGG (drivers)
*  SGS             26     SDRGES
*  SGX              5     SDRGSX
*  SGV             26     SDRGEV
*  SXV              2     SDRGVX
*  SSG             21     SDRVSG
*  SSB             15     SCHKSB
*  SBB             15     SCHKBB
*  SEC              -     SCHKEC
*  SBL              -     SCHKBL
*  SBK              -     SCHKBK
*  SGL              -     SCHKGL
*  SGK              -     SCHKGK
*  GLM              8     SCKGLM
*  GQR              8     SCKGQR
*  GSV              8     SCKGSV
*  LSE              8     SCKLSE
*
*-----------------------------------------------------------------------
*
*  NEP input file:
*
*  line 2:  NN, INTEGER
*           Number of values of N.
*
*  line 3:  NVAL, INTEGER array, dimension (NN)
*           The values for the matrix dimension N.
*
*  line 4:  NPARMS, INTEGER
*           Number of values of the parameters NB, NBMIN, NX, NS, and
*           MAXB.
*
*  line 5:  NBVAL, INTEGER array, dimension (NPARMS)
*           The values for the blocksize NB.
*
*  line 6:  NBMIN, INTEGER array, dimension (NPARMS)
*           The values for the minimum blocksize NBMIN.
*
*  line 7:  NXVAL, INTEGER array, dimension (NPARMS)
*           The values for the crossover point NX.
*
*  line 8:  INMIN, INTEGER array, dimension (NPARMS)
*           LAHQR vs TTQRE crossover point, >= 11
*
*  line 9:  INWIN, INTEGER array, dimension (NPARMS)
*           recommended deflation window size
*
*  line 10: INIBL, INTEGER array, dimension (NPARMS)
*           nibble crossover point
*
*  line 11:  ISHFTS, INTEGER array, dimension (NPARMS)
*           number of simultaneous shifts)
*
*  line 12:  IACC22, INTEGER array, dimension (NPARMS)
*           select structured matrix multiply: 0, 1 or 2)
*
*  line 13: THRESH
*           Threshold value for the test ratios.  Information will be
*           printed about each test for which the test ratio is greater
*           than or equal to the threshold.  To have all of the test
*           ratios printed, use THRESH = 0.0 .
*
*  line 14: NEWSD, INTEGER
*           A code indicating how to set the random number seed.
*           = 0:  Set the seed to a default value before each run
*           = 1:  Initialize the seed to a default value only before the
*                 first run
*           = 2:  Like 1, but use the seed values on the next line
*
*  If line 14 was 2:
*
*  line 15: INTEGER array, dimension (4)
*           Four integer values for the random number seed.
*
*  lines 15-EOF:  The remaining lines occur in sets of 1 or 2 and allow
*           the user to specify the matrix types.  Each line contains
*           a 3-character path name in columns 1-3, and the number
*           of matrix types must be the first nonblank item in columns
*           4-80.  If the number of matrix types is at least 1 but is
*           less than the maximum number of possible types, a second
*           line will be read to get the numbers of the matrix types to
*           be used.  For example,
*  NEP 21
*           requests all of the matrix types for the nonsymmetric
*           eigenvalue problem, while
*  NEP  4
*  9 10 11 12
*           requests only matrices of type 9, 10, 11, and 12.
*
*           The valid 3-character path names are 'NEP' or 'SHS' for the
*           nonsymmetric eigenvalue routines.
*
*-----------------------------------------------------------------------
*
*  SEP or SSG input file:
*
*  line 2:  NN, INTEGER
*           Number of values of N.
*
*  line 3:  NVAL, INTEGER array, dimension (NN)
*           The values for the matrix dimension N.
*
*  line 4:  NPARMS, INTEGER
*           Number of values of the parameters NB, NBMIN, and NX.
*
*  line 5:  NBVAL, INTEGER array, dimension (NPARMS)
*           The values for the blocksize NB.
*
*  line 6:  NBMIN, INTEGER array, dimension (NPARMS)
*           The values for the minimum blocksize NBMIN.
*
*  line 7:  NXVAL, INTEGER array, dimension (NPARMS)
*           The values for the crossover point NX.
*
*  line 8:  THRESH
*           Threshold value for the test ratios.  Information will be
*           printed about each test for which the test ratio is greater
*           than or equal to the threshold.
*
*  line 9:  TSTCHK, LOGICAL
*           Flag indicating whether or not to test the LAPACK routines.
*
*  line 10: TSTDRV, LOGICAL
*           Flag indicating whether or not to test the driver routines.
*
*  line 11: TSTERR, LOGICAL
*           Flag indicating whether or not to test the error exits for
*           the LAPACK routines and driver routines.
*
*  line 12: NEWSD, INTEGER
*           A code indicating how to set the random number seed.
*           = 0:  Set the seed to a default value before each run
*           = 1:  Initialize the seed to a default value only before the
*                 first run
*           = 2:  Like 1, but use the seed values on the next line
*
*  If line 12 was 2:
*
*  line 13: INTEGER array, dimension (4)
*           Four integer values for the random number seed.
*
*  lines 13-EOF:  Lines specifying matrix types, as for NEP.
*           The 3-character path names are 'SEP' or 'SST' for the
*           symmetric eigenvalue routines and driver routines, and
*           'SSG' for the routines for the symmetric generalized
*           eigenvalue problem.
*
*-----------------------------------------------------------------------
*
*  SVD input file:
*
*  line 2:  NN, INTEGER
*           Number of values of M and N.
*
*  line 3:  MVAL, INTEGER array, dimension (NN)
*           The values for the matrix row dimension M.
*
*  line 4:  NVAL, INTEGER array, dimension (NN)
*           The values for the matrix column dimension N.
*
*  line 5:  NPARMS, INTEGER
*           Number of values of the parameter NB, NBMIN, NX, and NRHS.
*
*  line 6:  NBVAL, INTEGER array, dimension (NPARMS)
*           The values for the blocksize NB.
*
*  line 7:  NBMIN, INTEGER array, dimension (NPARMS)
*           The values for the minimum blocksize NBMIN.
*
*  line 8:  NXVAL, INTEGER array, dimension (NPARMS)
*           The values for the crossover point NX.
*
*  line 9:  NSVAL, INTEGER array, dimension (NPARMS)
*           The values for the number of right hand sides NRHS.
*
*  line 10: THRESH
*           Threshold value for the test ratios.  Information will be
*           printed about each test for which the test ratio is greater
*           than or equal to the threshold.
*
*  line 11: TSTCHK, LOGICAL
*           Flag indicating whether or not to test the LAPACK routines.
*
*  line 12: TSTDRV, LOGICAL
*           Flag indicating whether or not to test the driver routines.
*
*  line 13: TSTERR, LOGICAL
*           Flag indicating whether or not to test the error exits for
*           the LAPACK routines and driver routines.
*
*  line 14: NEWSD, INTEGER
*           A code indicating how to set the random number seed.
*           = 0:  Set the seed to a default value before each run
*           = 1:  Initialize the seed to a default value only before the
*                 first run
*           = 2:  Like 1, but use the seed values on the next line
*
*  If line 14 was 2:
*
*  line 15: INTEGER array, dimension (4)
*           Four integer values for the random number seed.
*
*  lines 15-EOF:  Lines specifying matrix types, as for NEP.
*           The 3-character path names are 'SVD' or 'SBD' for both the
*           SVD routines and the SVD driver routines.
*
*-----------------------------------------------------------------------
*
*  SEV and SES data files:
*
*  line 1:  'SEV' or 'SES' in columns 1 to 3.
*
*  line 2:  NSIZES, INTEGER
*           Number of sizes of matrices to use. Should be at least 0
*           and at most 20. If NSIZES = 0, no testing is done
*           (although the remaining  3 lines are still read).
*
*  line 3:  NN, INTEGER array, dimension(NSIZES)
*           Dimensions of matrices to be tested.
*
*  line 4:  NB, NBMIN, NX, NS, NBCOL, INTEGERs
*           These integer parameters determine how blocking is done
*           (see ILAENV for details)
*           NB     : block size
*           NBMIN  : minimum block size
*           NX     : minimum dimension for blocking
*           NS     : number of shifts in xHSEQR
*           NBCOL  : minimum column dimension for blocking
*
*  line 5:  THRESH, REAL
*           The test threshold against which computed residuals are
*           compared. Should generally be in the range from 10. to 20.
*           If it is 0., all test case data will be printed.
*
*  line 6:  TSTERR, LOGICAL
*           Flag indicating whether or not to test the error exits.
*
*  line 7:  NEWSD, INTEGER
*           A code indicating how to set the random number seed.
*           = 0:  Set the seed to a default value before each run
*           = 1:  Initialize the seed to a default value only before the
*                 first run
*           = 2:  Like 1, but use the seed values on the next line
*
*  If line 7 was 2:
*
*  line 8:  INTEGER array, dimension (4)
*           Four integer values for the random number seed.
*
*  lines 9 and following:  Lines specifying matrix types, as for NEP.
*           The 3-character path name is 'SEV' to test SGEEV, or
*           'SES' to test SGEES.