LAPACK  3.8.0
LAPACK: Linear Algebra PACKage

◆ zchkee()

program zchkee ( )

ZCHKEE

Purpose:
 ZCHKEE tests the COMPLEX*16 LAPACK subroutines for the matrix
 eigenvalue problem.  The test paths in this version are

 NEP (Nonsymmetric Eigenvalue Problem):
     Test ZGEHRD, ZUNGHR, ZHSEQR, ZTREVC, ZHSEIN, and ZUNMHR

 SEP (Hermitian Eigenvalue Problem):
     Test ZHETRD, ZUNGTR, ZSTEQR, ZSTERF, ZSTEIN, ZSTEDC,
     and drivers ZHEEV(X), ZHBEV(X), ZHPEV(X),
                 ZHEEVD,   ZHBEVD,   ZHPEVD

 SVD (Singular Value Decomposition):
     Test ZGEBRD, ZUNGBR, and ZBDSQR
     and the drivers ZGESVD, ZGESDD

 ZEV (Nonsymmetric Eigenvalue/eigenvector Driver):
     Test ZGEEV

 ZES (Nonsymmetric Schur form Driver):
     Test ZGEES

 ZVX (Nonsymmetric Eigenvalue/eigenvector Expert Driver):
     Test ZGEEVX

 ZSX (Nonsymmetric Schur form Expert Driver):
     Test ZGEESX

 ZGG (Generalized Nonsymmetric Eigenvalue Problem):
     Test ZGGHD3, ZGGBAL, ZGGBAK, ZHGEQZ, and ZTGEVC

 ZGS (Generalized Nonsymmetric Schur form Driver):
     Test ZGGES

 ZGV (Generalized Nonsymmetric Eigenvalue/eigenvector Driver):
     Test ZGGEV

 ZGX (Generalized Nonsymmetric Schur form Expert Driver):
     Test ZGGESX

 ZXV (Generalized Nonsymmetric Eigenvalue/eigenvector Expert Driver):
     Test ZGGEVX

 ZSG (Hermitian Generalized Eigenvalue Problem):
     Test ZHEGST, ZHEGV, ZHEGVD, ZHEGVX, ZHPGST, ZHPGV, ZHPGVD,
     ZHPGVX, ZHBGST, ZHBGV, ZHBGVD, and ZHBGVX

 ZHB (Hermitian Band Eigenvalue Problem):
     Test ZHBTRD

 ZBB (Band Singular Value Decomposition):
     Test ZGBBRD

 ZEC (Eigencondition estimation):
     Test ZTRSYL, ZTREXC, ZTRSNA, and ZTRSEN

 ZBL (Balancing a general matrix)
     Test ZGEBAL

 ZBK (Back transformation on a balanced matrix)
     Test ZGEBAK

 ZGL (Balancing a matrix pair)
     Test ZGGBAL

 ZGK (Back transformation on a matrix pair)
     Test ZGGBAK

 GLM (Generalized Linear Regression Model):
     Tests ZGGGLM

 GQR (Generalized QR and RQ factorizations):
     Tests ZGGQRF and ZGGRQF

 GSV (Generalized Singular Value Decomposition):
     Tests ZGGSVD, ZGGSVP, ZTGSJA, ZLAGS2, ZLAPLL, and ZLAPMT

 CSD (CS decomposition):
     Tests ZUNCSD

 LSE (Constrained Linear Least Squares):
     Tests ZGGLSE

 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

 ZHS or NEP      21     ZCHKHS
 ZST or SEP      21     ZCHKST (routines)
                 18     ZDRVST (drivers)
 ZBD or SVD      16     ZCHKBD (routines)
                  5     ZDRVBD (drivers)
 ZEV             21     ZDRVEV
 ZES             21     ZDRVES
 ZVX             21     ZDRVVX
 ZSX             21     ZDRVSX
 ZGG             26     ZCHKGG (routines)
 ZGS             26     ZDRGES
 ZGX              5     ZDRGSX
 ZGV             26     ZDRGEV
 ZXV              2     ZDRGVX
 ZSG             21     ZDRVSG
 ZHB             15     ZCHKHB
 ZBB             15     ZCHKBB
 ZEC              -     ZCHKEC
 ZBL              -     ZCHKBL
 ZBK              -     ZCHKBK
 ZGL              -     ZCHKGL
 ZGK              -     ZCHKGK
 GLM              8     ZCKGLM
 GQR              8     ZCKGQR
 GSV              8     ZCKGSV
 CSD              3     ZCKCSD
 LSE              8     ZCKLSE

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

 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 'ZHS' for the
          nonsymmetric eigenvalue routines.

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

 SEP or ZSG 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 valid 3-character path names are 'SEP' or 'ZST' for the
          Hermitian eigenvalue routines and driver routines, and
          'ZSG' for the routines for the Hermitian 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 'ZBD' for both the
          SVD routines and the SVD driver routines.

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

 ZEV and ZES data files:

 line 1:  'ZEV' or 'ZES' 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:  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 6 was 2:

 line 7:  INTEGER array, dimension (4)
          Four integer values for the random number seed.

 lines 8 and following:  Lines specifying matrix types, as for NEP.
          The 3-character path name is 'ZEV' to test CGEEV, or
          'ZES' to test CGEES.

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

 The ZVX data has two parts. The first part is identical to ZEV,
 and the second part consists of test matrices with precomputed
 solutions.

 line 1:  'ZVX' in columns 1-3.

 line 2:  NSIZES, INTEGER
          If NSIZES = 0, no testing of randomly generated examples
          is done, but any precomputed examples are tested.

 line 3:  NN, INTEGER array, dimension(NSIZES)

 line 4:  NB, NBMIN, NX, NS, NBCOL, INTEGERs

 line 5:  THRESH, REAL

 line 6:  NEWSD, INTEGER

 If line 6 was 2:

 line 7:  INTEGER array, dimension (4)

 lines 8 and following: The first line contains 'ZVX' in columns 1-3
          followed by the number of matrix types, possibly with
          a second line to specify certain matrix types.
          If the number of matrix types = 0, no testing of randomly
          generated examples is done, but any precomputed examples
          are tested.

 remaining lines : Each matrix is stored on 1+N+N**2 lines, where N is
          its dimension. The first line contains the dimension N and
          ISRT (two integers). ISRT indicates whether the last N lines
          are sorted by increasing real part of the eigenvalue
          (ISRT=0) or by increasing imaginary part (ISRT=1). The next
          N**2 lines contain the matrix rowwise, one entry per line.
          The last N lines correspond to each eigenvalue. Each of
          these last N lines contains 4 real values: the real part of
          the eigenvalues, the imaginary part of the eigenvalue, the
          reciprocal condition number of the eigenvalues, and the
          reciprocal condition number of the vector eigenvector. The
          end of data is indicated by dimension N=0. Even if no data
          is to be tested, there must be at least one line containing
          N=0.

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

 The ZSX data is like ZVX. The first part is identical to ZEV, and the
 second part consists of test matrices with precomputed solutions.

 line 1:  'ZSX' in columns 1-3.

 line 2:  NSIZES, INTEGER
          If NSIZES = 0, no testing of randomly generated examples
          is done, but any precomputed examples are tested.

 line 3:  NN, INTEGER array, dimension(NSIZES)

 line 4:  NB, NBMIN, NX, NS, NBCOL, INTEGERs

 line 5:  THRESH, REAL

 line 6:  NEWSD, INTEGER

 If line 6 was 2:

 line 7:  INTEGER array, dimension (4)

 lines 8 and following: The first line contains 'ZSX' in columns 1-3
          followed by the number of matrix types, possibly with
          a second line to specify certain matrix types.
          If the number of matrix types = 0, no testing of randomly
          generated examples is done, but any precomputed examples
          are tested.

 remaining lines : Each matrix is stored on 3+N**2 lines, where N is
          its dimension. The first line contains the dimension N, the
          dimension M of an invariant subspace, and ISRT. The second
          line contains M integers, identifying the eigenvalues in the
          invariant subspace (by their position in a list of
          eigenvalues ordered by increasing real part (if ISRT=0) or
          by increasing imaginary part (if ISRT=1)). The next N**2
          lines contain the matrix rowwise. The last line contains the
          reciprocal condition number for the average of the selected
          eigenvalues, and the reciprocal condition number for the
          corresponding right invariant subspace. The end of data in
          indicated by a line containing N=0, M=0, and ISRT = 0.  Even
          if no data is to be tested, there must be at least one line
          containing N=0, M=0 and ISRT=0.

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

 ZGG 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, NBCOL, 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 NBMIN, the minimum row dimension for blocks.

 line 7:  NSVAL, INTEGER array, dimension (NPARMS)
          The values for the number of shifts.

 line 8:  MXBVAL, INTEGER array, dimension (NPARMS)
          The values for MAXB, used in determining minimum blocksize.

 line 9:  IACC22, INTEGER array, dimension (NPARMS)
          select structured matrix multiply: 1 or 2)

 line 10: NBCOL, INTEGER array, dimension (NPARMS)
          The values for NBCOL, the minimum column dimension for
          blocks.

 line 11: 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 12: TSTCHK, LOGICAL
          Flag indicating whether or not to test the LAPACK routines.

 line 13: TSTDRV, LOGICAL
          Flag indicating whether or not to test the driver routines.

 line 14: TSTERR, LOGICAL
          Flag indicating whether or not to test the error exits for
          the LAPACK routines and driver routines.

 line 15: 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 15 was 2:

 line 16: INTEGER array, dimension (4)
          Four integer values for the random number seed.

 lines 17-EOF:  Lines specifying matrix types, as for NEP.
          The 3-character path name is 'ZGG' for the generalized
          eigenvalue problem routines and driver routines.

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

 ZGS and ZGV input files:

 line 1:  'ZGS' or 'ZGV' in columns 1 to 3.

 line 2:  NN, INTEGER
          Number of values of N.

 line 3:  NVAL, INTEGER array, dimension(NN)
          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 xHGEQR
          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 17 was 2:

 line 7:  INTEGER array, dimension (4)
          Four integer values for the random number seed.

 lines 7-EOF:  Lines specifying matrix types, as for NEP.
          The 3-character path name is 'ZGS' for the generalized
          eigenvalue problem routines and driver routines.

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

 ZGX input file:
 line 1:  'ZGX' in columns 1 to 3.

 line 2:  N, INTEGER
          Value of N.

 line 3:  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 xHGEQR
          NBCOL  : minimum column dimension for blocking

 line 4:  THRESH, REAL
          The test threshold against which computed residuals are
          compared. Should generally be in the range from 10. to 20.
          Information will be printed about each test for which the
          test ratio is greater than or equal to the threshold.

 line 5:  TSTERR, LOGICAL
          Flag indicating whether or not to test the error exits for
          the LAPACK routines and driver routines.

 line 6:  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 6 was 2:

 line 7: INTEGER array, dimension (4)
          Four integer values for the random number seed.

 If line 2 was 0:

 line 7-EOF: Precomputed examples are tested.

 remaining lines : Each example is stored on 3+2*N*N lines, where N is
          its dimension. The first line contains the dimension (a
          single integer).  The next line contains an integer k such
          that only the last k eigenvalues will be selected and appear
          in the leading diagonal blocks of $A$ and $B$. The next N*N
          lines contain the matrix A, one element per line. The next N*N
          lines contain the matrix B. The last line contains the
          reciprocal of the eigenvalue cluster condition number and the
          reciprocal of the deflating subspace (associated with the
          selected eigencluster) condition number.  The end of data is
          indicated by dimension N=0.  Even if no data is to be tested,
          there must be at least one line containing N=0.

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

 ZXV input files:
 line 1:  'ZXV' in columns 1 to 3.

 line 2:  N, INTEGER
          Value of N.

 line 3:  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 xHGEQR
          NBCOL  : minimum column dimension for blocking

 line 4:  THRESH, REAL
          The test threshold against which computed residuals are
          compared. Should generally be in the range from 10. to 20.
          Information will be printed about each test for which the
          test ratio is greater than or equal to the threshold.

 line 5:  TSTERR, LOGICAL
          Flag indicating whether or not to test the error exits for
          the LAPACK routines and driver routines.

 line 6:  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 6 was 2:

 line 7: INTEGER array, dimension (4)
          Four integer values for the random number seed.

 If line 2 was 0:

 line 7-EOF: Precomputed examples are tested.

 remaining lines : Each example is stored on 3+2*N*N lines, where N is
          its dimension. The first line contains the dimension (a
          single integer). The next N*N lines contain the matrix A, one
          element per line. The next N*N lines contain the matrix B.
          The next line contains the reciprocals of the eigenvalue
          condition numbers.  The last line contains the reciprocals of
          the eigenvector condition numbers.  The end of data is
          indicated by dimension N=0.  Even if no data is to be tested,
          there must be at least one line containing N=0.

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

 ZHB 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:  NK, INTEGER
          Number of values of K.

 line 5:  KVAL, INTEGER array, dimension (NK)
          The values for the matrix dimension K.

 line 6:  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 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 8-EOF:  Lines specifying matrix types, as for NEP.
          The 3-character path name is 'ZHB'.

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

 ZBB 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 4:  NK, INTEGER
          Number of values of K.

 line 5:  KVAL, INTEGER array, dimension (NK)
          The values for the matrix bandwidth K.

 line 6:  NPARMS, INTEGER
          Number of values of the parameter NRHS

 line 7:  NSVAL, INTEGER array, dimension (NPARMS)
          The values for the number of right hand sides NRHS.

 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:  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 9 was 2:

 line 10: INTEGER array, dimension (4)
          Four integer values for the random number seed.

 lines 10-EOF:  Lines specifying matrix types, as for SVD.
          The 3-character path name is 'ZBB'.

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

 ZEC input file:

 line  2: THRESH, REAL
          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.

 lines  3-EOF:

 Input for testing the eigencondition routines consists of a set of
 specially constructed test cases and their solutions.  The data
 format is not intended to be modified by the user.

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

 ZBL and ZBK input files:

 line 1:  'ZBL' in columns 1-3 to test CGEBAL, or 'ZBK' in
          columns 1-3 to test CGEBAK.

 The remaining lines consist of specially constructed test cases.

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

 ZGL and ZGK input files:

 line 1:  'ZGL' in columns 1-3 to test ZGGBAL, or 'ZGK' in
          columns 1-3 to test ZGGBAK.

 The remaining lines consist of specially constructed test cases.

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

 GLM data file:

 line 1:  'GLM' in columns 1 to 3.

 line 2:  NN, INTEGER
          Number of values of M, P, and N.

 line 3:  MVAL, INTEGER array, dimension(NN)
          Values of M (row dimension).

 line 4:  PVAL, INTEGER array, dimension(NN)
          Values of P (row dimension).

 line 5:  NVAL, INTEGER array, dimension(NN)
          Values of N (column dimension), note M <= N <= M+P.

 line 6:  THRESH, REAL
          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 7:  TSTERR, LOGICAL
          Flag indicating whether or not to test the error exits for
          the LAPACK routines and driver routines.

 line 8:  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 8 was 2:

 line 9:  INTEGER array, dimension (4)
          Four integer values for the random number seed.

 lines 9-EOF:  Lines specifying matrix types, as for NEP.
          The 3-character path name is 'GLM' for the generalized
          linear regression model routines.

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

 GQR data file:

 line 1:  'GQR' in columns 1 to 3.

 line 2:  NN, INTEGER
          Number of values of M, P, and N.

 line 3:  MVAL, INTEGER array, dimension(NN)
          Values of M.

 line 4:  PVAL, INTEGER array, dimension(NN)
          Values of P.

 line 5:  NVAL, INTEGER array, dimension(NN)
          Values of N.

 line 6:  THRESH, REAL
          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 7:  TSTERR, LOGICAL
          Flag indicating whether or not to test the error exits for
          the LAPACK routines and driver routines.

 line 8:  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 8 was 2:

 line 9:  INTEGER array, dimension (4)
          Four integer values for the random number seed.

 lines 9-EOF:  Lines specifying matrix types, as for NEP.
          The 3-character path name is 'GQR' for the generalized
          QR and RQ routines.

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

 GSV data file:

 line 1:  'GSV' in columns 1 to 3.

 line 2:  NN, INTEGER
          Number of values of M, P, and N.

 line 3:  MVAL, INTEGER array, dimension(NN)
          Values of M (row dimension).

 line 4:  PVAL, INTEGER array, dimension(NN)
          Values of P (row dimension).

 line 5:  NVAL, INTEGER array, dimension(NN)
          Values of N (column dimension).

 line 6:  THRESH, REAL
          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 7:  TSTERR, LOGICAL
          Flag indicating whether or not to test the error exits for
          the LAPACK routines and driver routines.

 line 8:  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 8 was 2:

 line 9:  INTEGER array, dimension (4)
          Four integer values for the random number seed.

 lines 9-EOF:  Lines specifying matrix types, as for NEP.
          The 3-character path name is 'GSV' for the generalized
          SVD routines.

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

 CSD data file:

 line 1:  'CSD' in columns 1 to 3.

 line 2:  NM, INTEGER
          Number of values of M, P, and N.

 line 3:  MVAL, INTEGER array, dimension(NM)
          Values of M (row and column dimension of orthogonal matrix).

 line 4:  PVAL, INTEGER array, dimension(NM)
          Values of P (row dimension of top-left block).

 line 5:  NVAL, INTEGER array, dimension(NM)
          Values of N (column dimension of top-left block).

 line 6:  THRESH, REAL
          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 7:  TSTERR, LOGICAL
          Flag indicating whether or not to test the error exits for
          the LAPACK routines and driver routines.

 line 8:  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 8 was 2:

 line 9:  INTEGER array, dimension (4)
          Four integer values for the random number seed.

 lines 9-EOF:  Lines specifying matrix types, as for NEP.
          The 3-character path name is 'CSD' for the CSD routine.

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

 LSE data file:

 line 1:  'LSE' in columns 1 to 3.

 line 2:  NN, INTEGER
          Number of values of M, P, and N.

 line 3:  MVAL, INTEGER array, dimension(NN)
          Values of M.

 line 4:  PVAL, INTEGER array, dimension(NN)
          Values of P.

 line 5:  NVAL, INTEGER array, dimension(NN)
          Values of N, note P <= N <= P+M.

 line 6:  THRESH, REAL
          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 7:  TSTERR, LOGICAL
          Flag indicating whether or not to test the error exits for
          the LAPACK routines and driver routines.

 line 8:  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 8 was 2:

 line 9:  INTEGER array, dimension (4)
          Four integer values for the random number seed.

 lines 9-EOF:  Lines specifying matrix types, as for NEP.
          The 3-character path name is 'GSV' for the generalized
          SVD routines.

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

 NMAX is currently set to 132 and must be at least 12 for some of the
 precomputed examples, and LWORK = NMAX*(5*NMAX+20) in the parameter
 statements below.  For SVD, we assume NRHS may be as big as N.  The
 parameter NEED is set to 14 to allow for 14 N-by-N matrices for ZGG.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date
June 2016

Definition at line 1035 of file zchkee.f.

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