Provided by: liblapack-doc-man_3.6.0-2ubuntu2_all bug

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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