ddrvrfp.f - Man Page

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

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

The man page ddrvrfp(3) is an alias of ddrvrfp.f(3).

Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK