TESTING/LIN/ddrvrfp.f(3)

NAME
TESTING/LIN/ddrvrfp.f

SYNOPSIS

  Functions/Subroutines
subroutine ddrvrfp (nout, nn, nval, nns, nsval, nnt, ntval, thresh, a, asav, afac, ainv, b, bsav, xact, x, arf, arfinv, d_work_dlatms, d_work_dpot01, d_temp_dpot02, d_temp_dpot03, d_work_dlansy, d_work_dpot02, d_work_dpot03)
DDRVRFP

Function/Subroutine Documentation

  subroutine ddrvrfp (integer nout, integer nn, integer, dimension( nn ) nval, integer nns, integer, dimension( nns ) nsval, integer nnt, integer, dimension( nnt ) ntval, double precision thresh, double precision, dimension( * ) a, double precision, dimension( * ) asav, double precision, dimension( * ) afac, double precision, dimension( * ) ainv, double precision, dimension( * ) b, double precision, dimension( * ) bsav, double precision, dimension( * ) xact, double precision, dimension( * ) x, double precision, dimension( * ) arf, double precision, dimension( * ) arfinv, double precision, dimension( * ) d_work_dlatms, double precision, dimension( * ) d_work_dpot01, double precision, dimension( * ) d_temp_dpot02, double precision, dimension( * ) d_temp_dpot03, double precision, dimension( * ) d_work_dlansy, double precision, dimension( * ) d_work_dpot02, double precision, dimension( * ) d_work_dpot03)

DDRVRFP

Purpose:

     DDRVRFP tests the LAPACK RFP routines:
         DPFTRF, DPFTRS, and DPFTRI.
     This testing routine follow the same tests as DDRVPO (test for the full
     format Symmetric Positive Definite solver).
     The tests are performed in Full Format, conversion back and forth from
     full format to RFP format are performed using the routines DTRTTF and
     DTFTTR.
     First, a specific matrix A of size N is created. There is nine types of
     different matrixes possible.
      1. Diagonal                        6. Random, CNDNUM = sqrt(0.1/EPS)
      2. Random, CNDNUM = 2              7. Random, CNDNUM = 0.1/EPS
     *3. First row and column zero       8. Scaled near underflow
     *4. Last row and column zero        9. Scaled near overflow
     *5. Middle row and column zero
     (* - tests error exits from DPFTRF, no test ratios are computed)
     A solution XACT of size N-by-NRHS is created and the associated right
     hand side B as well. Then DPFTRF is called to compute L (or U), the
     Cholesky factor of A. Then L (or U) is used to solve the linear system
     of equations AX = B. This gives X. Then L (or U) is used to compute the
     inverse of A, AINV. The following four tests are then performed:
     (1) norm( L*L' - A ) / ( N * norm(A) * EPS ) or
         norm( U'*U - A ) / ( N * norm(A) * EPS ),
     (2) norm(B - A*X) / ( norm(A) * norm(X) * EPS ),
     (3) norm( I - A*AINV ) / ( N * norm(A) * norm(AINV) * EPS ),
     (4) ( norm(X-XACT) * RCOND ) / ( norm(XACT) * EPS ),
     where EPS is the machine precision, RCOND the condition number of A, and
     norm( . ) the 1-norm for (1,2,3) and the inf-norm for (4).
     Errors occur when INFO parameter is not as expected. Failures occur when
     a test ratios is greater than THRES.

Parameters
    NOUT

              NOUT is INTEGER
                    The unit number for output.

    NN

              NN is INTEGER
                    The number of values of N contained in the vector NVAL.

    NVAL

              NVAL is INTEGER array, dimension (NN)
                    The values of the matrix dimension N.

    NNS

              NNS is INTEGER
                    The number of values of NRHS contained in the vector NSVAL.

    NSVAL

              NSVAL is INTEGER array, dimension (NNS)
                    The values of the number of right-hand sides NRHS.

    NNT

              NNT is INTEGER
                    The number of values of MATRIX TYPE contained in the vector NTVAL.

    NTVAL

              NTVAL is INTEGER array, dimension (NNT)
                    The values of matrix type (between 0 and 9 for PO/PP/PF matrices).

    THRESH

              THRESH is DOUBLE PRECISION
                    The threshold value for the test ratios.  A result is
                    included in the output file if RESULT >= THRESH.  To have
                    every test ratio printed, use THRESH = 0.

    A

              A is DOUBLE PRECISION array, dimension (NMAX*NMAX)

    ASAV

              ASAV is DOUBLE PRECISION array, dimension (NMAX*NMAX)

    AFAC

              AFAC is DOUBLE PRECISION array, dimension (NMAX*NMAX)

    AINV

              AINV is DOUBLE PRECISION array, dimension (NMAX*NMAX)

    B

              B is DOUBLE PRECISION array, dimension (NMAX*MAXRHS)

    BSAV

              BSAV is DOUBLE PRECISION array, dimension (NMAX*MAXRHS)

    XACT

              XACT is DOUBLE PRECISION array, dimension (NMAX*MAXRHS)

    X

              X is DOUBLE PRECISION array, dimension (NMAX*MAXRHS)

    ARF

              ARF is DOUBLE PRECISION array, dimension ((NMAX*(NMAX+1))/2)

    ARFINV

              ARFINV is DOUBLE PRECISION array, dimension ((NMAX*(NMAX+1))/2)

    D_WORK_DLATMS

              D_WORK_DLATMS is DOUBLE PRECISION array, dimension ( 3*NMAX )

    D_WORK_DPOT01

              D_WORK_DPOT01 is DOUBLE PRECISION array, dimension ( NMAX )

    D_TEMP_DPOT02

              D_TEMP_DPOT02 is DOUBLE PRECISION array, dimension ( NMAX*MAXRHS )

    D_TEMP_DPOT03

              D_TEMP_DPOT03 is DOUBLE PRECISION array, dimension ( NMAX*NMAX )

    D_WORK_DLANSY

              D_WORK_DLANSY is DOUBLE PRECISION array, dimension ( NMAX )

    D_WORK_DPOT02

              D_WORK_DPOT02 is DOUBLE PRECISION array, dimension ( NMAX )

    D_WORK_DPOT03

              D_WORK_DPOT03 is DOUBLE PRECISION array, dimension ( NMAX )

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 232 of file ddrvrfp.f.

Author

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