TESTING/LIN/cdrvrfp.f(3)

NAME
TESTING/LIN/cdrvrfp.f

SYNOPSIS

  Functions/Subroutines
subroutine cdrvrfp (nout, nn, nval, nns, nsval, nnt, ntval, thresh, a, asav, afac, ainv, b, bsav, xact, x, arf, arfinv, c_work_clatms, c_work_cpot02, c_work_cpot03, s_work_clatms, s_work_clanhe, s_work_cpot01, s_work_cpot02, s_work_cpot03)
CDRVRFP

Function/Subroutine Documentation

  subroutine cdrvrfp (integer nout, integer nn, integer, dimension( nn ) nval, integer nns, integer, dimension( nns ) nsval, integer nnt, integer, dimension( nnt ) ntval, real thresh, complex, dimension( * ) a, complex, dimension( * ) asav, complex, dimension( * ) afac, complex, dimension( * ) ainv, complex, dimension( * ) b, complex, dimension( * ) bsav, complex, dimension( * ) xact, complex, dimension( * ) x, complex, dimension( * ) arf, complex, dimension( * ) arfinv, complex, dimension( * ) c_work_clatms, complex, dimension( * ) c_work_cpot02, complex, dimension( * ) c_work_cpot03, real, dimension( * ) s_work_clatms, real, dimension( * ) s_work_clanhe, real, dimension( * ) s_work_cpot01, real, dimension( * ) s_work_cpot02, real, dimension( * ) s_work_cpot03)

CDRVRFP

Purpose:

     CDRVRFP tests the LAPACK RFP routines:
         CPFTRF, CPFTRS, and CPFTRI.
     This testing routine follow the same tests as CDRVPO (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 CTRTTF and
     CTFTTR.
     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 CPFTRF, 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 CPFTRF 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 REAL
                    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 COMPLEX array, dimension (NMAX*NMAX)

    ASAV

              ASAV is COMPLEX array, dimension (NMAX*NMAX)

    AFAC

              AFAC is COMPLEX array, dimension (NMAX*NMAX)

    AINV

              AINV is COMPLEX array, dimension (NMAX*NMAX)

    B

              B is COMPLEX array, dimension (NMAX*MAXRHS)

    BSAV

              BSAV is COMPLEX array, dimension (NMAX*MAXRHS)

    XACT

              XACT is COMPLEX array, dimension (NMAX*MAXRHS)

    X

              X is COMPLEX array, dimension (NMAX*MAXRHS)

    ARF

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

    ARFINV

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

    C_WORK_CLATMS

              C_WORK_CLATMS is COMPLEX array, dimension ( 3*NMAX )

    C_WORK_CPOT02

              C_WORK_CPOT02 is COMPLEX array, dimension ( NMAX*MAXRHS )

    C_WORK_CPOT03

              C_WORK_CPOT03 is COMPLEX array, dimension ( NMAX*NMAX )

    S_WORK_CLATMS

              S_WORK_CLATMS is REAL array, dimension ( NMAX )

    S_WORK_CLANHE

              S_WORK_CLANHE is REAL array, dimension ( NMAX )

    S_WORK_CPOT01

              S_WORK_CPOT01 is REAL array, dimension ( NMAX )

    S_WORK_CPOT02

              S_WORK_CPOT02 is REAL array, dimension ( NMAX )

    S_WORK_CPOT03

              S_WORK_CPOT03 is REAL array, dimension ( NMAX )

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 238 of file cdrvrfp.f.

Author

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