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LAPACK 3.11.0
LAPACK: Linear Algebra PACKage
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LAPACK 3.11.0
LAPACK: Linear Algebra PACKage
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| 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
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. | [in] | NOUT | NOUT is INTEGER
The unit number for output. |
| [in] | NN | NN is INTEGER
The number of values of N contained in the vector NVAL. |
| [in] | NVAL | NVAL is INTEGER array, dimension (NN)
The values of the matrix dimension N. |
| [in] | NNS | NNS is INTEGER
The number of values of NRHS contained in the vector NSVAL. |
| [in] | NSVAL | NSVAL is INTEGER array, dimension (NNS)
The values of the number of right-hand sides NRHS. |
| [in] | NNT | NNT is INTEGER
The number of values of MATRIX TYPE contained in the vector NTVAL. |
| [in] | NTVAL | NTVAL is INTEGER array, dimension (NNT)
The values of matrix type (between 0 and 9 for PO/PP/PF matrices). |
| [in] | 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. |
| [out] | A | A is DOUBLE PRECISION array, dimension (NMAX*NMAX) |
| [out] | ASAV | ASAV is DOUBLE PRECISION array, dimension (NMAX*NMAX) |
| [out] | AFAC | AFAC is DOUBLE PRECISION array, dimension (NMAX*NMAX) |
| [out] | AINV | AINV is DOUBLE PRECISION array, dimension (NMAX*NMAX) |
| [out] | B | B is DOUBLE PRECISION array, dimension (NMAX*MAXRHS) |
| [out] | BSAV | BSAV is DOUBLE PRECISION array, dimension (NMAX*MAXRHS) |
| [out] | XACT | XACT is DOUBLE PRECISION array, dimension (NMAX*MAXRHS) |
| [out] | X | X is DOUBLE PRECISION array, dimension (NMAX*MAXRHS) |
| [out] | ARF | ARF is DOUBLE PRECISION array, dimension ((NMAX*(NMAX+1))/2) |
| [out] | ARFINV | ARFINV is DOUBLE PRECISION array, dimension ((NMAX*(NMAX+1))/2) |
| [out] | D_WORK_DLATMS | D_WORK_DLATMS is DOUBLE PRECISION array, dimension ( 3*NMAX ) |
| [out] | D_WORK_DPOT01 | D_WORK_DPOT01 is DOUBLE PRECISION array, dimension ( NMAX ) |
| [out] | D_TEMP_DPOT02 | D_TEMP_DPOT02 is DOUBLE PRECISION array, dimension ( NMAX*MAXRHS ) |
| [out] | D_TEMP_DPOT03 | D_TEMP_DPOT03 is DOUBLE PRECISION array, dimension ( NMAX*NMAX ) |
| [out] | D_WORK_DLANSY | D_WORK_DLANSY is DOUBLE PRECISION array, dimension ( NMAX ) |
| [out] | D_WORK_DPOT02 | D_WORK_DPOT02 is DOUBLE PRECISION array, dimension ( NMAX ) |
| [out] | D_WORK_DPOT03 | D_WORK_DPOT03 is DOUBLE PRECISION array, dimension ( NMAX ) |
1.9.4