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.

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 )

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