TESTING/LIN/ddrvrfp.f(3) Library Functions Manual 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 Generated automatically by Doxygen for LAPACK from the source code. LAPACK Version 3.12.0 TESTING/LIN/ddrvrfp.f(3)