Provided by: liblapack-doc-man_3.6.0-2ubuntu2_all 
NAME
aux_eig - aux
Functions
subroutine alahdg (IOUNIT, PATH)
ALAHDG
subroutine alareq (PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT)
ALAREQ
subroutine alarqg (PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT)
ALARQG
subroutine alasmg (TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASMG
subroutine alasum (TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
subroutine alasvm (TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASVM
integer function ilaenv (ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV
subroutine xerbla (SRNAME, INFO)
XERBLA
subroutine xlaenv (ISPEC, NVALUE)
XLAENV
Detailed Description
This is the group of auxiliary LAPACK TESTING EIG routines.
Function Documentation
subroutine alahdg (integer IOUNIT, character*3 PATH)
ALAHDG
Purpose:
ALAHDG prints header information for the different test paths.
Parameters:
IOUNIT
IOUNIT is INTEGER
The unit number to which the header information should be
printed.
PATH
PATH is CHARACTER*3
The name of the path for which the header information is to
be printed. Current paths are
GQR: GQR (general matrices)
GRQ: GRQ (general matrices)
LSE: LSE Problem
GLM: GLM Problem
GSV: Generalized Singular Value Decomposition
CSD: CS Decomposition
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
subroutine alareq (character*3 PATH, integer NMATS, logical, dimension( * ) DOTYPE, integer
NTYPES, integer NIN, integer NOUT)
ALAREQ
Purpose:
ALAREQ handles input for the LAPACK test program. It is called
to evaluate the input line which requested NMATS matrix types for
PATH. The flow of control is as follows:
If NMATS = NTYPES then
DOTYPE(1:NTYPES) = .TRUE.
else
Read the next input line for NMATS matrix types
Set DOTYPE(I) = .TRUE. for each valid type I
endif
Parameters:
PATH
PATH is CHARACTER*3
An LAPACK path name for testing.
NMATS
NMATS is INTEGER
The number of matrix types to be used in testing this path.
DOTYPE
DOTYPE is LOGICAL array, dimension (NTYPES)
The vector of flags indicating if each type will be tested.
NTYPES
NTYPES is INTEGER
The maximum number of matrix types for this path.
NIN
NIN is INTEGER
The unit number for input. NIN >= 1.
NOUT
NOUT is INTEGER
The unit number for output. NOUT >= 1.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
subroutine alarqg (character*3 PATH, integer NMATS, logical, dimension( * ) DOTYPE, integer
NTYPES, integer NIN, integer NOUT)
ALARQG
Purpose:
ALARQG handles input for the LAPACK test program. It is called
to evaluate the input line which requested NMATS matrix types for
PATH. The flow of control is as follows:
If NMATS = NTYPES then
DOTYPE(1:NTYPES) = .TRUE.
else
Read the next input line for NMATS matrix types
Set DOTYPE(I) = .TRUE. for each valid type I
endif
Parameters:
PATH
PATH is CHARACTER*3
An LAPACK path name for testing.
NMATS
NMATS is INTEGER
The number of matrix types to be used in testing this path.
DOTYPE
DOTYPE is LOGICAL array, dimension (NTYPES)
The vector of flags indicating if each type will be tested.
NTYPES
NTYPES is INTEGER
The maximum number of matrix types for this path.
NIN
NIN is INTEGER
The unit number for input. NIN >= 1.
NOUT
NOUT is INTEGER
The unit number for output. NOUT >= 1.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
subroutine alasmg (character*3 TYPE, integer NOUT, integer NFAIL, integer NRUN, integer NERRS)
ALASMG
Purpose:
ALASMG prints a summary of results from one of the -CHK- routines.
Parameters:
TYPE
TYPE is CHARACTER*3
The LAPACK path name.
NOUT
NOUT is INTEGER
The unit number on which results are to be printed.
NOUT >= 0.
NFAIL
NFAIL is INTEGER
The number of tests which did not pass the threshold ratio.
NRUN
NRUN is INTEGER
The total number of tests.
NERRS
NERRS is INTEGER
The number of error messages recorded.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
subroutine alasum (character*3 TYPE, integer NOUT, integer NFAIL, integer NRUN, integer NERRS)
ALASUM
Purpose:
ALASUM prints a summary of results from one of the -CHK- routines.
Parameters:
TYPE
TYPE is CHARACTER*3
The LAPACK path name.
NOUT
NOUT is INTEGER
The unit number on which results are to be printed.
NOUT >= 0.
NFAIL
NFAIL is INTEGER
The number of tests which did not pass the threshold ratio.
NRUN
NRUN is INTEGER
The total number of tests.
NERRS
NERRS is INTEGER
The number of error messages recorded.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
subroutine alasvm (character*3 TYPE, integer NOUT, integer NFAIL, integer NRUN, integer NERRS)
ALASVM
Purpose:
ALASVM prints a summary of results from one of the -DRV- routines.
Parameters:
TYPE
TYPE is CHARACTER*3
The LAPACK path name.
NOUT
NOUT is INTEGER
The unit number on which results are to be printed.
NOUT >= 0.
NFAIL
NFAIL is INTEGER
The number of tests which did not pass the threshold ratio.
NRUN
NRUN is INTEGER
The total number of tests.
NERRS
NERRS is INTEGER
The number of error messages recorded.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
integer function ilaenv (integer ISPEC, character*( * ) NAME, character*( * ) OPTS, integer
N1, integer N2, integer N3, integer N4)
ILAENV
Purpose:
ILAENV returns problem-dependent parameters for the local
environment. See ISPEC for a description of the parameters.
In this version, the problem-dependent parameters are contained in
the integer array IPARMS in the common block CLAENV and the value
with index ISPEC is copied to ILAENV. This version of ILAENV is
to be used in conjunction with XLAENV in TESTING and TIMING.
Parameters:
ISPEC
ISPEC is INTEGER
Specifies the parameter to be returned as the value of
ILAENV.
= 1: the optimal blocksize; if this value is 1, an unblocked
algorithm will give the best performance.
= 2: the minimum block size for which the block routine
should be used; if the usable block size is less than
this value, an unblocked routine should be used.
= 3: the crossover point (in a block routine, for N less
than this value, an unblocked routine should be used)
= 4: the number of shifts, used in the nonsymmetric
eigenvalue routines
= 5: the minimum column dimension for blocking to be used;
rectangular blocks must have dimension at least k by m,
where k is given by ILAENV(2,...) and m by ILAENV(5,...)
= 6: the crossover point for the SVD (when reducing an m by n
matrix to bidiagonal form, if max(m,n)/min(m,n) exceeds
this value, a QR factorization is used first to reduce
the matrix to a triangular form.)
= 7: the number of processors
= 8: the crossover point for the multishift QR and QZ methods
for nonsymmetric eigenvalue problems.
= 9: maximum size of the subproblems at the bottom of the
computation tree in the divide-and-conquer algorithm
=10: ieee NaN arithmetic can be trusted not to trap
=11: infinity arithmetic can be trusted not to trap
12 <= ISPEC <= 16:
xHSEQR or one of its subroutines,
see IPARMQ for detailed explanation
Other specifications (up to 100) can be added later.
NAME
NAME is CHARACTER*(*)
The name of the calling subroutine.
OPTS
OPTS is CHARACTER*(*)
The character options to the subroutine NAME, concatenated
into a single character string. For example, UPLO = 'U',
TRANS = 'T', and DIAG = 'N' for a triangular routine would
be specified as OPTS = 'UTN'.
N1
N1 is INTEGER
N2
N2 is INTEGER
N3
N3 is INTEGER
N4
N4 is INTEGER
Problem dimensions for the subroutine NAME; these may not all
be required.
Returns:
ILAENV
ILAENV is INTEGER
>= 0: the value of the parameter specified by ISPEC
< 0: if ILAENV = -k, the k-th argument had an illegal value.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Further Details:
The following conventions have been used when calling ILAENV from the
LAPACK routines:
1) OPTS is a concatenation of all of the character options to
subroutine NAME, in the same order that they appear in the
argument list for NAME, even if they are not used in determining
the value of the parameter specified by ISPEC.
2) The problem dimensions N1, N2, N3, N4 are specified in the order
that they appear in the argument list for NAME. N1 is used
first, N2 second, and so on, and unused problem dimensions are
passed a value of -1.
3) The parameter value returned by ILAENV is checked for validity in
the calling subroutine. For example, ILAENV is used to retrieve
the optimal blocksize for STRTRI as follows:
NB = ILAENV( 1, 'STRTRI', UPLO // DIAG, N, -1, -1, -1 )
IF( NB.LE.1 ) NB = MAX( 1, N )
subroutine xerbla (character*(*) SRNAME, integer INFO)
XERBLA
Purpose:
This is a special version of XERBLA to be used only as part of
the test program for testing error exits from the LAPACK routines.
Error messages are printed if INFO.NE.INFOT or if SRNAME.NE.SRNAMT,
where INFOT and SRNAMT are values stored in COMMON.
Parameters:
SRNAME
SRNAME is CHARACTER*(*)
The name of the subroutine calling XERBLA. This name should
match the COMMON variable SRNAMT.
INFO
INFO is INTEGER
The error return code from the calling subroutine. INFO
should equal the COMMON variable INFOT.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Further Details:
The following variables are passed via the common blocks INFOC and
SRNAMC:
INFOT INTEGER Expected integer return code
NOUT INTEGER Unit number for printing error messages
OK LOGICAL Set to .TRUE. if INFO = INFOT and
SRNAME = SRNAMT, otherwise set to .FALSE.
LERR LOGICAL Set to .TRUE., indicating that XERBLA was called
SRNAMT CHARACTER*(*) Expected name of calling subroutine
subroutine xlaenv (integer ISPEC, integer NVALUE)
XLAENV
Purpose:
XLAENV sets certain machine- and problem-dependent quantities
which will later be retrieved by ILAENV.
Parameters:
ISPEC
ISPEC is INTEGER
Specifies the parameter to be set in the COMMON array IPARMS.
= 1: the optimal blocksize; if this value is 1, an unblocked
algorithm will give the best performance.
= 2: the minimum block size for which the block routine
should be used; if the usable block size is less than
this value, an unblocked routine should be used.
= 3: the crossover point (in a block routine, for N less
than this value, an unblocked routine should be used)
= 4: the number of shifts, used in the nonsymmetric
eigenvalue routines
= 5: the minimum column dimension for blocking to be used;
rectangular blocks must have dimension at least k by m,
where k is given by ILAENV(2,...) and m by ILAENV(5,...)
= 6: the crossover point for the SVD (when reducing an m by n
matrix to bidiagonal form, if max(m,n)/min(m,n) exceeds
this value, a QR factorization is used first to reduce
the matrix to a triangular form)
= 7: the number of processors
= 8: another crossover point, for the multishift QR and QZ
methods for nonsymmetric eigenvalue problems.
= 9: maximum size of the subproblems at the bottom of the
computation tree in the divide-and-conquer algorithm
(used by xGELSD and xGESDD)
=10: ieee NaN arithmetic can be trusted not to trap
=11: infinity arithmetic can be trusted not to trap
12 <= ISPEC <= 16:
xHSEQR or one of its subroutines,
see IPARMQ for detailed explanation
NVALUE
NVALUE is INTEGER
The value of the parameter specified by ISPEC.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Author
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