DCHKEE
Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
January 2007
January 2007
Purpose
DCHKEE tests the DOUBLE PRECISION LAPACK subroutines for the matrix
eigenvalue problem. The test paths in this version are
NEP (Nonsymmetric Eigenvalue Problem):
Test DGEHRD, DORGHR, DHSEQR, DTREVC, DHSEIN, and DORMHR
SEP (Symmetric Eigenvalue Problem):
Test DSYTRD, DORGTR, DSTEQR, DSTERF, DSTEIN, DSTEDC,
and drivers DSYEV(X), DSBEV(X), DSPEV(X), DSTEV(X),
DSYEVD, DSBEVD, DSPEVD, DSTEVD
SVD (Singular Value Decomposition):
Test DGEBRD, DORGBR, DBDSQR, DBDSDC
and the drivers DGESVD, DGESDD
DEV (Nonsymmetric Eigenvalue/eigenvector Driver):
Test DGEEV
DES (Nonsymmetric Schur form Driver):
Test DGEES
DVX (Nonsymmetric Eigenvalue/eigenvector Expert Driver):
Test DGEEVX
DSX (Nonsymmetric Schur form Expert Driver):
Test DGEESX
DGG (Generalized Nonsymmetric Eigenvalue Problem):
Test DGGHRD, DGGBAL, DGGBAK, DHGEQZ, and DTGEVC
and the driver routines DGEGS and DGEGV
DGS (Generalized Nonsymmetric Schur form Driver):
Test DGGES
DGV (Generalized Nonsymmetric Eigenvalue/eigenvector Driver):
Test DGGEV
DGX (Generalized Nonsymmetric Schur form Expert Driver):
Test DGGESX
DXV (Generalized Nonsymmetric Eigenvalue/eigenvector Expert Driver):
Test DGGEVX
DSG (Symmetric Generalized Eigenvalue Problem):
Test DSYGST, DSYGV, DSYGVD, DSYGVX, DSPGST, DSPGV, DSPGVD,
DSPGVX, DSBGST, DSBGV, DSBGVD, and DSBGVX
DSB (Symmetric Band Eigenvalue Problem):
Test DSBTRD
DBB (Band Singular Value Decomposition):
Test DGBBRD
DEC (Eigencondition estimation):
Test DLALN2, DLASY2, DLAEQU, DLAEXC, DTRSYL, DTREXC, DTRSNA,
DTRSEN, and DLAQTR
DBL (Balancing a general matrix)
Test DGEBAL
DBK (Back transformation on a balanced matrix)
Test DGEBAK
DGL (Balancing a matrix pair)
Test DGGBAL
DGK (Back transformation on a matrix pair)
Test DGGBAK
GLM (Generalized Linear Regression Model):
Tests DGGGLM
GQR (Generalized QR and RQ factorizations):
Tests DGGQRF and DGGRQF
GSV (Generalized Singular Value Decomposition):
Tests DGGSVD, DGGSVP, DTGSJA, DLAGS2, DLAPLL, and DLAPMT
CSD (CS decomposition):
Tests DORCSD
LSE (Constrained Linear Least Squares):
Tests DGGLSE
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
DHS or NEP 21 DCHKHS
DST or SEP 21 DCHKST (routines)
18 DDRVST (drivers)
DBD or SVD 16 DCHKBD (routines)
5 DDRVBD (drivers)
DEV 21 DDRVEV
DES 21 DDRVES
DVX 21 DDRVVX
DSX 21 DDRVSX
DGG 26 DCHKGG (routines)
26 DDRVGG (drivers)
DGS 26 DDRGES
DGX 5 DDRGSX
DGV 26 DDRGEV
DXV 2 DDRGVX
DSG 21 DDRVSG
DSB 15 DCHKSB
DBB 15 DCHKBB
DEC - DCHKEC
DBL - DCHKBL
DBK - DCHKBK
DGL - DCHKGL
DGK - DCHKGK
GLM 8 DCKGLM
GQR 8 DCKGQR
GSV 8 DCKGSV
CSD 3 DCKCSD
LSE 8 DCKLSE
*-----------------------------------------------------------------------
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 DSG 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
'DSG' 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.
*-----------------------------------------------------------------------
DEV and DES data files:
line 1: 'DEV' or 'DES' 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 'DEV' to test SGEEV, or
'DES' to test SGEES.
*-----------------------------------------------------------------------
The DVX data has two parts. The first part is identical to DEV,
and the second part consists of test matrices with precomputed
solutions.
line 1: 'DVX' 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: TSTERR, LOGICAL
line 7: NEWSD, INTEGER
If line 7 was 2:
line 8: INTEGER array, dimension (4)
lines 9 and following: The first line contains 'DVX' 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+2*N lines, where N is
its dimension. The first line contains the dimension (a
single integer). The next N lines contain the matrix, one
row 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 eigenvalue, the imaginary
part of the eigenvalue, the reciprocal condition number of
the eigenvalues, and the reciprocal condition number of the
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 DSX data is like DVX. The first part is identical to DEV, and the
second part consists of test matrices with precomputed solutions.
line 1: 'DSX' 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: TSTERR, LOGICAL
line 7: NEWSD, INTEGER
If line 7 was 2:
line 8: INTEGER array, dimension (4)
lines 9 and following: The first line contains 'DSX' 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 lines, where N is its
dimension. The first line contains the dimension N and the
dimension M of an invariant subspace. 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). The next N
lines contain the matrix. 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 is
indicated by a line containing N=0 and M=0. Even if no data
is to be tested, there must be at least one line containing
N=0 and M=0.
*-----------------------------------------------------------------------
DGG 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, NS, MAXB, and
NBCOL.
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: NBCOL, INTEGER array, dimension (NPARMS)
The values for NBCOL, the minimum column dimension for
blocks.
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 name is 'DGG' for the generalized
eigenvalue problem routines and driver routines.
*-----------------------------------------------------------------------
DGS and DGV input files:
line 1: 'DGS' or 'DGV' 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 'DGS' for the generalized
eigenvalue problem routines and driver routines.
*-----------------------------------------------------------------------
DXV input files:
line 1: 'DXV' 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 lines, where N is
its dimension. The first line contains the dimension (a
single integer). The next N lines contain the matrix A, one
row per line. The next 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.
*-----------------------------------------------------------------------
DGX input files:
line 1: 'DGX' 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 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
lines contain the matrix A, one row per line. The next 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.
*-----------------------------------------------------------------------
DSB 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 'DSB'.
*-----------------------------------------------------------------------
DBB 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 'DBB'.
*-----------------------------------------------------------------------
DEC 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.
*-----------------------------------------------------------------------
DBL and DBK input files:
line 1: 'DBL' in columns 1-3 to test SGEBAL, or 'DBK' in
columns 1-3 to test SGEBAK.
The remaining lines consist of specially constructed test cases.
*-----------------------------------------------------------------------
DGL and DGK input files:
line 1: 'DGL' in columns 1-3 to test DGGBAL, or 'DGK' in
columns 1-3 to test DGGBAK.
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+5)+1 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 DGG.
eigenvalue problem. The test paths in this version are
NEP (Nonsymmetric Eigenvalue Problem):
Test DGEHRD, DORGHR, DHSEQR, DTREVC, DHSEIN, and DORMHR
SEP (Symmetric Eigenvalue Problem):
Test DSYTRD, DORGTR, DSTEQR, DSTERF, DSTEIN, DSTEDC,
and drivers DSYEV(X), DSBEV(X), DSPEV(X), DSTEV(X),
DSYEVD, DSBEVD, DSPEVD, DSTEVD
SVD (Singular Value Decomposition):
Test DGEBRD, DORGBR, DBDSQR, DBDSDC
and the drivers DGESVD, DGESDD
DEV (Nonsymmetric Eigenvalue/eigenvector Driver):
Test DGEEV
DES (Nonsymmetric Schur form Driver):
Test DGEES
DVX (Nonsymmetric Eigenvalue/eigenvector Expert Driver):
Test DGEEVX
DSX (Nonsymmetric Schur form Expert Driver):
Test DGEESX
DGG (Generalized Nonsymmetric Eigenvalue Problem):
Test DGGHRD, DGGBAL, DGGBAK, DHGEQZ, and DTGEVC
and the driver routines DGEGS and DGEGV
DGS (Generalized Nonsymmetric Schur form Driver):
Test DGGES
DGV (Generalized Nonsymmetric Eigenvalue/eigenvector Driver):
Test DGGEV
DGX (Generalized Nonsymmetric Schur form Expert Driver):
Test DGGESX
DXV (Generalized Nonsymmetric Eigenvalue/eigenvector Expert Driver):
Test DGGEVX
DSG (Symmetric Generalized Eigenvalue Problem):
Test DSYGST, DSYGV, DSYGVD, DSYGVX, DSPGST, DSPGV, DSPGVD,
DSPGVX, DSBGST, DSBGV, DSBGVD, and DSBGVX
DSB (Symmetric Band Eigenvalue Problem):
Test DSBTRD
DBB (Band Singular Value Decomposition):
Test DGBBRD
DEC (Eigencondition estimation):
Test DLALN2, DLASY2, DLAEQU, DLAEXC, DTRSYL, DTREXC, DTRSNA,
DTRSEN, and DLAQTR
DBL (Balancing a general matrix)
Test DGEBAL
DBK (Back transformation on a balanced matrix)
Test DGEBAK
DGL (Balancing a matrix pair)
Test DGGBAL
DGK (Back transformation on a matrix pair)
Test DGGBAK
GLM (Generalized Linear Regression Model):
Tests DGGGLM
GQR (Generalized QR and RQ factorizations):
Tests DGGQRF and DGGRQF
GSV (Generalized Singular Value Decomposition):
Tests DGGSVD, DGGSVP, DTGSJA, DLAGS2, DLAPLL, and DLAPMT
CSD (CS decomposition):
Tests DORCSD
LSE (Constrained Linear Least Squares):
Tests DGGLSE
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
DHS or NEP 21 DCHKHS
DST or SEP 21 DCHKST (routines)
18 DDRVST (drivers)
DBD or SVD 16 DCHKBD (routines)
5 DDRVBD (drivers)
DEV 21 DDRVEV
DES 21 DDRVES
DVX 21 DDRVVX
DSX 21 DDRVSX
DGG 26 DCHKGG (routines)
26 DDRVGG (drivers)
DGS 26 DDRGES
DGX 5 DDRGSX
DGV 26 DDRGEV
DXV 2 DDRGVX
DSG 21 DDRVSG
DSB 15 DCHKSB
DBB 15 DCHKBB
DEC - DCHKEC
DBL - DCHKBL
DBK - DCHKBK
DGL - DCHKGL
DGK - DCHKGK
GLM 8 DCKGLM
GQR 8 DCKGQR
GSV 8 DCKGSV
CSD 3 DCKCSD
LSE 8 DCKLSE
*-----------------------------------------------------------------------
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 DSG 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
'DSG' 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.
*-----------------------------------------------------------------------
DEV and DES data files:
line 1: 'DEV' or 'DES' 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 'DEV' to test SGEEV, or
'DES' to test SGEES.
*-----------------------------------------------------------------------
The DVX data has two parts. The first part is identical to DEV,
and the second part consists of test matrices with precomputed
solutions.
line 1: 'DVX' 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: TSTERR, LOGICAL
line 7: NEWSD, INTEGER
If line 7 was 2:
line 8: INTEGER array, dimension (4)
lines 9 and following: The first line contains 'DVX' 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+2*N lines, where N is
its dimension. The first line contains the dimension (a
single integer). The next N lines contain the matrix, one
row 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 eigenvalue, the imaginary
part of the eigenvalue, the reciprocal condition number of
the eigenvalues, and the reciprocal condition number of the
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 DSX data is like DVX. The first part is identical to DEV, and the
second part consists of test matrices with precomputed solutions.
line 1: 'DSX' 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: TSTERR, LOGICAL
line 7: NEWSD, INTEGER
If line 7 was 2:
line 8: INTEGER array, dimension (4)
lines 9 and following: The first line contains 'DSX' 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 lines, where N is its
dimension. The first line contains the dimension N and the
dimension M of an invariant subspace. 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). The next N
lines contain the matrix. 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 is
indicated by a line containing N=0 and M=0. Even if no data
is to be tested, there must be at least one line containing
N=0 and M=0.
*-----------------------------------------------------------------------
DGG 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, NS, MAXB, and
NBCOL.
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: NBCOL, INTEGER array, dimension (NPARMS)
The values for NBCOL, the minimum column dimension for
blocks.
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 name is 'DGG' for the generalized
eigenvalue problem routines and driver routines.
*-----------------------------------------------------------------------
DGS and DGV input files:
line 1: 'DGS' or 'DGV' 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 'DGS' for the generalized
eigenvalue problem routines and driver routines.
*-----------------------------------------------------------------------
DXV input files:
line 1: 'DXV' 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 lines, where N is
its dimension. The first line contains the dimension (a
single integer). The next N lines contain the matrix A, one
row per line. The next 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.
*-----------------------------------------------------------------------
DGX input files:
line 1: 'DGX' 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 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
lines contain the matrix A, one row per line. The next 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.
*-----------------------------------------------------------------------
DSB 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 'DSB'.
*-----------------------------------------------------------------------
DBB 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 'DBB'.
*-----------------------------------------------------------------------
DEC 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.
*-----------------------------------------------------------------------
DBL and DBK input files:
line 1: 'DBL' in columns 1-3 to test SGEBAL, or 'DBK' in
columns 1-3 to test SGEBAK.
The remaining lines consist of specially constructed test cases.
*-----------------------------------------------------------------------
DGL and DGK input files:
line 1: 'DGL' in columns 1-3 to test DGGBAL, or 'DGK' in
columns 1-3 to test DGGBAK.
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+5)+1 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 DGG.