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.

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 )

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