table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sdrvrfp.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sdrvrfp.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sdrvrfp.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine SDRVRFP (nout, nn, nval, nns, nsval, nnt, ntval,
thresh, a, asav, afac, ainv, b, bsav, xact, x, arf, arfinv, s_work_slatms,
s_work_spot01, s_temp_spot02, s_temp_spot03, s_work_slansy, s_work_spot02,
s_work_spot03)
SDRVRFP
Function/Subroutine Documentation¶
subroutine SDRVRFP (integer nout, integer nn, integer, dimension( nn ) nval, integer nns, integer, dimension( nns ) nsval, integer nnt, integer, dimension( nnt ) ntval, real thresh, real, dimension( * ) a, real, dimension( * ) asav, real, dimension( * ) afac, real, dimension( * ) ainv, real, dimension( * ) b, real, dimension( * ) bsav, real, dimension( * ) xact, real, dimension( * ) x, real, dimension( * ) arf, real, dimension( * ) arfinv, real, dimension( * ) s_work_slatms, real, dimension( * ) s_work_spot01, real, dimension( * ) s_temp_spot02, real, dimension( * ) s_temp_spot03, real, dimension( * ) s_work_slansy, real, dimension( * ) s_work_spot02, real, dimension( * ) s_work_spot03)¶
SDRVRFP
Purpose:
!> !> SDRVRFP tests the LAPACK RFP routines: !> SPFTRF, SPFTRS, and SPFTRI. !> !> 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 STRTTF and !> STFTTR. !> !> 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 SPFTRF, 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 SPFTRF 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 REAL array, dimension (NMAX*NMAX) !>
ASAV
!> ASAV is REAL array, dimension (NMAX*NMAX) !>
AFAC
!> AFAC is REAL array, dimension (NMAX*NMAX) !>
AINV
!> AINV is REAL array, dimension (NMAX*NMAX) !>
B
!> B is REAL array, dimension (NMAX*MAXRHS) !>
BSAV
!> BSAV is REAL array, dimension (NMAX*MAXRHS) !>
XACT
!> XACT is REAL array, dimension (NMAX*MAXRHS) !>
X
!> X is REAL array, dimension (NMAX*MAXRHS) !>
ARF
!> ARF is REAL array, dimension ((NMAX*(NMAX+1))/2) !>
ARFINV
!> ARFINV is REAL array, dimension ((NMAX*(NMAX+1))/2) !>
S_WORK_SLATMS
!> S_WORK_SLATMS is REAL array, dimension ( 3*NMAX ) !>
S_WORK_SPOT01
!> S_WORK_SPOT01 is REAL array, dimension ( NMAX ) !>
S_TEMP_SPOT02
!> S_TEMP_SPOT02 is REAL array, dimension ( NMAX*MAXRHS ) !>
S_TEMP_SPOT03
!> S_TEMP_SPOT03 is REAL array, dimension ( NMAX*NMAX ) !>
S_WORK_SLANSY
!> S_WORK_SLANSY is REAL array, dimension ( NMAX ) !>
S_WORK_SPOT02
!> S_WORK_SPOT02 is REAL array, dimension ( NMAX ) !>
S_WORK_SPOT03
!> S_WORK_SPOT03 is REAL array, dimension ( NMAX ) !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 232 of file sdrvrfp.f.
Author¶
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Version 3.12.0 | LAPACK |